id
stringlengths
9
10
submitter
stringlengths
1
64
authors
stringlengths
4
36.7k
title
stringlengths
1
343
comments
stringlengths
1
1.15k
journal-ref
stringlengths
4
557
doi
stringlengths
7
138
report-no
stringlengths
2
459
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
listlengths
1
187
update_date
stringlengths
10
10
authors_parsed
sequencelengths
1
2.83k
year
stringclasses
13 values
abstract_embedding
sequencelengths
768
768
__index_level_0__
int64
0
1.23M
0704.0101
Paolo Di Vecchia pdv
Paolo Di Vecchia
The birth of string theory
Latex 60 pages, 2 figures, uses svmult.cls. Contribution to the volume "String theory and fundamental interactions", dedicated to Gabriele Veneziano on his 65th birthday.
Lect.NotesPhys.737:59-118,2008
null
NORDITA-2007-13
hep-th
null
In this contribution we go through the developments that in the years 1968 to 1974 led from the Veneziano model to the bosonic string.
[ { "created": "Sun, 1 Apr 2007 19:30:02 GMT", "version": "v1" } ]
2008-11-26
[ [ "Di Vecchia", "Paolo", "" ] ]
07
[ -0.037466488778591156, -0.0375395193696022, -0.14954029023647308, -0.4444040060043335, -0.23410116136074066, -0.21108995378017426, -0.28610464930534363, 1.0994492769241333, -0.7889241576194763, -0.6874692440032959, -0.9066590070724487, 0.6184282302856445, 0.5259694457054138, 0.35911017656326294, -0.5333312749862671, -0.25218892097473145, -0.8784509897232056, -0.26502525806427, 0.26389530301094055, -0.8031634092330933, 0.3639252483844757, -0.30356845259666443, -0.7291651964187622, -0.9643166065216064, -0.1366633176803589, 0.015949124470353127, -0.1723906695842743, 0.5686249732971191, -0.4854174256324768, 0.19997340440750122, -0.2658686339855194, 0.4512121081352234, 0.31357884407043457, 0.8369331955909729, 1.5286214351654053, -0.09226333349943161, 0.9719566106796265, -0.6461546421051025, -0.42747658491134644, 0.3959485590457916, -1.4864438772201538, 1.159895420074463, 0.08739402145147324, -0.03623182326555252, -0.8355838656425476, -0.7285769581794739, 0.02552199177443981, -0.3411654531955719, -0.8832005858421326, -0.3406016528606415, 0.34742939472198486, 0.26964908838272095, 1.1893649101257324, -1.369670033454895, 0.015350988134741783, 0.10388874262571335, 0.9230098128318787, -0.3498765528202057, 0.36322876811027527, -0.5218093395233154, -0.13368839025497437, -0.44058600068092346, 0.5069720149040222, 1.1600446701049805, -0.4431927502155304, 0.3927828073501587, 0.1307954490184784, 0.16759714484214783, 1.595089316368103, -0.7851915955543518, 0.2605177164077759, 0.9691252112388611, -0.3097788095474243, -0.5268439650535583, 0.5612908601760864, -0.28416678309440613, 0.6327091455459595, -0.8691580891609192, -0.08512438088655472, 1.4887568950653076, 0.689265787601471, 0.7185208797454834, -1.0777572393417358, -0.5200903415679932, 0.5005353093147278, 0.33827313780784607, 0.7585658431053162, -0.16736960411071777, 0.28860223293304443, 0.553128182888031, 0.9469006657600403, -0.515278160572052, -0.9628835320472717, 0.27393457293510437, 0.7233527898788452, -1.428956389427185, -0.4326396584510803, 0.7040117383003235, 0.21441714465618134, -0.7446179389953613, -0.12965629994869232, 0.40819862484931946, 0.008043838664889336, 0.22843250632286072, -0.1488746702671051, 0.20699234306812286, -1.4473954439163208, -0.243840754032135, -0.00810081698000431, 0.2656882703304291, 0.7855762243270874, -1.2521018981933594, -0.31405308842658997, -0.8265482783317566, -0.5208137035369873, 1.6971641778945923, 0.19042956829071045, 0.20739808678627014, 1.253318190574646, 0.238160640001297, -0.15135224163532257, 0.7928585410118103, 0.5012930035591125, -0.16550645232200623, 1.4479897022247314, -0.4495316445827484, -0.30385103821754456, -0.5534532070159912, -0.6236103773117065, -0.7679935693740845, 0.9593251943588257, -0.5134031772613525, -0.004225114360451698, 0.02726450189948082, -0.08197251707315445, 0.34584489464759827, 0.006229293067008257, -0.14136293530464172, 0.07513477653265, -0.033250562846660614, 0.6957813501358032, -0.7775052785873413, -0.6475279331207275, 0.6256049275398254, -0.6080915331840515, -0.4467078447341919, 0.053530603647232056, -1.159623622894287, 1.478334665298462, 0.34800663590431213, 0.7708115577697754, -0.6408577561378479, 0.012591052800416946, -0.4200185239315033, -0.5351684093475342, -0.028737269341945648, -0.09074226766824722, -1.219429850578308, -0.019695626571774483, 0.563424825668335, 0.7293208837509155, -0.6931623220443726, 0.7759751677513123, -1.3921098709106445, -0.910537838935852, 0.5869322419166565, 0.11158070713281631, 0.6277985572814941, 1.0994657278060913, 0.6854080557823181, -1.850777268409729, 0.3145731985569, 0.24314428865909576, -0.18374910950660706, 0.3291151225566864, 0.28794610500335693, 0.42898866534233093, -0.6059884428977966, -0.2854714095592499, 0.573723554611206, -0.8404535055160522, -0.47559601068496704, 1.4058148860931396, -1.6196531057357788, -0.27376893162727356, -0.5369913578033447, -0.26054811477661133, 0.03809167072176933, -0.252530574798584, -0.10438696295022964, -0.14906635880470276, 1.5137224197387695, 0.5271598100662231, 0.44364815950393677, -0.1281159371137619, -0.7255767583847046, -0.0051625510677695274, -0.5436230301856995, -1.0750941038131714, -0.9084345102310181, 0.02191629819571972, 0.8160480856895447, -0.26919829845428467, -0.13876879215240479, -0.7808129191398621, 1.1959333419799805, -0.4703689217567444, 0.12928645312786102, -0.346027135848999, 0.4943784177303314, 0.7982626557350159, 0.788267195224762, -0.312173455953598, -0.14652486145496368, 1.6176656484603882, 0.14540864527225494, 1.0495330095291138, 0.1650983840227127, -0.34998583793640137, 1.069236159324646, -1.2333433628082275, 0.5128812193870544, 0.15886647999286652, -0.2203771024942398, 0.0575106143951416, -0.4050816297531128, 0.05940990895032883, 1.1234887838363647, 0.3515542447566986, -0.5476630330085754, -0.07288030534982681, -0.7252956628799438, -0.350366473197937, -0.20179757475852966, 0.30361735820770264, 0.931281328201294, -1.3627588748931885, -0.4544658660888672, -2.3743155002593994, -0.8423530459403992, -0.622617781162262, 1.077793836593628, -0.35423028469085693, -0.7027323246002197, 0.19398033618927002, -0.4607340693473816, 0.08203127235174179, -0.8904376029968262, 0.4570702612400055, 0.27518150210380554, -0.8201928734779358, 0.22181515395641327, 0.9954160451889038, -0.278202623128891, 0.5263441801071167, -0.09642327576875687, -0.09135957062244415, -0.0690658912062645, -0.9715518951416016, 1.0318453311920166, -0.38140907883644104, 0.2643914818763733, 0.07657904922962189, 0.4723000228404999, 0.4397144019603729, 0.14982740581035614, 0.5686503648757935, 0.25177156925201416, 0.2933090329170227, -0.20090794563293457, -0.713037371635437, 0.2842068374156952, 0.31492337584495544, 0.2927737832069397, -0.6026375889778137, -0.10305999219417572, -0.2013322114944458, -0.15446868538856506, -0.8400225639343262, -0.7857404947280884, -1.3778502941131592, 1.769575595855713, 0.6567132472991943, -0.08108700811862946, 0.6244933009147644, 0.5274080634117126, -0.799372673034668, -0.35744357109069824, -0.5611311197280884, 0.7505429983139038, 1.4754639863967896, -0.7075287103652954, -0.36993134021759033, 0.5350116491317749, -0.21074526011943817, -0.9803188443183899, 0.27294477820396423, -0.5701360106468201, -0.2080613523721695, -0.052734266966581345, 0.3763178586959839, 0.11651510000228882, -0.14492356777191162, -0.6096864342689514, 0.06100418418645859, 0.47309982776641846, 0.5138936042785645, -0.5918186902999878, 0.37544023990631104, -0.6035429835319519, 0.03349572420120239, 1.401747703552246, -0.7888234853744507, -0.6681545376777649, 0.19558368623256683, -0.46518805623054504, -0.1511736512184143, 0.28168225288391113, 0.05770532786846161, -0.7321809530258179, -1.0047346353530884, -0.2266107201576233, 1.1352542638778687, -0.15445397794246674, 0.44548332691192627, -1.0857081413269043, -0.08806321024894714, -0.0658092275261879, 0.20027676224708557, 0.10741278529167175, 0.3163338601589203, -0.6945260763168335, 0.8259829878807068, 0.7747588753700256, -0.9866604208946228, 0.0024761599488556385, 0.06605975329875946, -0.005994359962642193, 0.32941728830337524, -0.5497685074806213, -1.3832577466964722, -0.5588638782501221, 0.3815423250198364, -0.3681866526603699, 0.3436085879802704, 0.19767387211322784, 0.4818178713321686, -0.179154172539711, -0.759316623210907, -0.9787846207618713, -0.5045037269592285, 0.2821175456047058, 0.27886781096458435, 0.5788410902023315, -0.7131479382514954, 0.17968182265758514, 0.3273249864578247, 0.538450300693512, -0.3126378059387207, 0.07556721568107605, 1.1592398881912231, 0.05635131523013115, -0.14522694051265717, -0.014954882673919201, -0.25342798233032227, 0.6425276398658752, 0.9042280316352844, -0.03528803959488869, -0.7062422633171082, 0.9454343318939209, 0.19362682104110718, 0.12249983102083206, -1.0868513584136963, 0.0460071936249733, -0.1982404589653015, -0.5442104339599609, -0.3272058069705963, -0.37664857506752014, -1.135690689086914, -0.29439684748649597, -0.10974489152431488, 0.01776265539228916, 1.0835152864456177, -0.11776388436555862, -0.9308916330337524, 0.8662358522415161, -0.014164469204843044, 0.6029956340789795, -1.0134387016296387, 0.7904423475265503, -0.12051721662282944, -0.24566705524921417, -0.034651804715394974, 0.6184656023979187, -0.678353488445282, 0.8542802333831787, 0.08138083666563034, 0.6468112468719482, 0.828768253326416, 1.3016481399536133, -0.26582852005958557, 0.712346613407135, 0.147806316614151, 0.3744116425514221, -0.70463627576828, -0.6413792371749878, 1.3735352754592896, 0.18150600790977478, -0.49502861499786377, 0.3097327947616577, -0.36521488428115845, 0.7151250243186951, -1.4555546045303345, 0.7713000774383545, -0.08831928670406342, -0.8246940970420837, -0.11715172231197357, 1.4508306980133057, -0.4312005341053009, 0.5836946964263916, 0.10553278028964996, -1.0866650342941284, -0.12610764801502228, 0.7159977555274963, -0.1391277313232422, 0.00979398749768734, 0.3227197825908661, -0.04711993783712387, -0.11661186814308167, -0.999581515789032, -0.6974846720695496, 0.3789737820625305, -0.029648855328559875, 0.7690688967704773, -0.20608821511268616, -0.23664595186710358, -0.41969719529151917, 0.2785477936267853, -0.08865618705749512, -0.04294006526470184, 0.871273934841156, 0.28386354446411133, -0.8607454895973206, -1.2877299785614014, 0.4003898799419403, -0.5256175398826599, -0.8836135268211365, -0.7757056355476379, 0.16077038645744324, -0.5695611238479614, -0.6775926947593689, -0.900158703327179, -0.00042367633432149887, -0.1688154935836792, -0.2603607475757599, -0.03875206783413887, 0.7618324756622314, 0.6987101435661316, -1.260753870010376, 0.6622999310493469, 0.2009740173816681, 0.3527956008911133, 0.9546910524368286, -0.9300417304039001, -0.42035219073295593, -0.49647489190101624, -0.3309348225593567, -0.8187026381492615, -0.44772961735725403, -0.7972826361656189, 0.8095632195472717, -0.6150022745132446, 1.0246869325637817, -0.5473615527153015, -1.7040287256240845, -0.030455945059657097, 1.0383063554763794, -0.24933545291423798, 0.4984211027622223, -0.5546623468399048, 1.440595269203186, 1.181573748588562, -1.7852956056594849, -0.10619421303272247, 1.167087435722351, -0.027113359421491623, 0.22093449532985687, 0.3500891923904419, -0.7655964493751526, 1.3360393047332764, -0.2273055911064148, -1.081054925918579, -0.6058624386787415, -0.10950446128845215, 0.3584972023963928, 0.8278419375419617, 0.17930392920970917, -0.3982401490211487, -0.7977360486984253, 0.13887883722782135, 0.8249233961105347, -1.2413724660873413, 0.4006879925727844, -0.6153416633605957, -1.8576288223266602, -0.9388653039932251, -0.20092251896858215, 1.2276341915130615, 0.1927780658006668, 0.17762766778469086, 0.40902698040008545, -0.918754518032074, -0.045416031032800674, -0.0023471033200621605, -0.30676335096359253, -0.6871694326400757, -0.7881090641021729, -2.0821239948272705, 1.025185465812683, 0.08931800723075867, -0.18570886552333832, -0.3243463635444641, 0.8006173372268677, -2.000065326690674, -0.1414271742105484, 0.6257792115211487, -0.6001951694488525, -0.7493327260017395, -1.137560486793518, 1.707894206047058, -0.11094311624765396, -0.5268052816390991, 1.2311593294143677, -0.3395112156867981, -0.948513925075531, -0.9667465090751648, 0.609836995601654, -0.799134373664856, -0.4649949371814728, 0.3513568341732025, 0.43124136328697205, 0.4353555738925934, -1.3196302652359009, -0.2829876244068146, 0.5887776017189026, 0.03513577580451965, -0.6894610524177551, -0.35235926508903503, 0.16962136328220367, 0.8047125339508057, 0.09672306478023529, 0.516209065914154, -0.8551825284957886, 1.0172028541564941, -1.047452688217163, -1.550925850868225, -9.668573379516602, 0.007972308434545994, -0.685123085975647, -0.1175333559513092, 0.24071870744228363, -1.5210540294647217, 0.31249967217445374, 0.43943729996681213, -0.7736990451812744, 0.461221843957901, 1.593640923500061, -0.6645551919937134, -0.3516876995563507, 0.5218602418899536, -0.7703132629394531, -0.2808833420276642, -0.21367307007312775, 0.5666578412055969, -0.9208958148956299, 1.225896954536438, -0.3275260329246521, -0.011769741773605347, 0.045409951359033585, -0.021956495940685272, 1.534211277961731, -0.32196977734565735, 0.15085791051387787, 0.7340375185012817, 0.10447557270526886, 0.0912570133805275, -0.13713891804218292, 1.3306175470352173, -1.1046185493469238, 0.5002280473709106, 0.4334828555583954, 0.8139377236366272, 0.1256859004497528, 0.33436301350593567, 1.0213119983673096, -0.21936434507369995, 0.534739077091217, -0.660004734992981, -0.010768561623990536, -1.1072497367858887, 0.4586499333381653, 0.45630961656570435, 0.414522260427475, -0.5951499342918396, -0.25176334381103516, 0.507439374923706, -0.4196215271949768, -0.13029968738555908, -0.6967884302139282, -0.41330963373184204, -0.12049420922994614, 0.4696911871433258, -1.2114921808242798, 0.2902601957321167, 0.4289007782936096, 0.839571475982666, -0.05119721591472626, -0.13595469295978546, 0.11513016372919083, -0.18193814158439636, -0.4911453127861023, -0.7112846970558167, -0.0889463797211647, -0.8710113167762756, -0.42050015926361084, 2.2033023834228516, -0.05483538657426834, -0.06752856820821762, -1.0833401679992676, -0.6209260821342468, -0.47275248169898987, -0.5612106323242188, 0.2216717153787613, 1.5209293365478516, -0.1968105435371399, -0.8372541666030884, -0.31458422541618347, 0.29227641224861145, 0.21239377558231354, -0.24759069085121155, -0.3032560348510742, -1.689042568206787, -0.0005658081499859691, 0.7601065039634705, 0.13733099400997162, 0.12728558480739594, 0.3444303572177887, -0.6723777055740356, -0.02855997532606125, 0.2918793857097626, 0.18017911911010742, 0.6406633853912354, 0.5788702368736267, 0.1980019211769104, -0.058371998369693756, -0.2074262797832489, -0.34700289368629456, -0.6401816010475159, -0.19149990379810333, 0.9041503667831421, 0.9961311221122742, -0.815230667591095, -0.7902967929840088, 0.23490111529827118, 0.11259692162275314, -0.9823245406150818, -0.6853683590888977, -0.18412715196609497, 0.1181776151061058, -0.4349828064441681, -0.19495059549808502, 0.35445451736450195, 0.29660165309906006, 0.615559458732605, 0.8790034651756287, -1.347489595413208, -0.40974029898643494, -0.6060506105422974, 0.9140653014183044, -0.035949595272541046, 0.18900282680988312, -0.2556827962398529, 0.49808886647224426, 0.21450263261795044, -0.08192852139472961, 0.3135837912559509, -0.41564440727233887, -0.26006704568862915, -0.80455082654953, 1.4599790573120117, 0.03562483936548233, 0.06625207513570786, 0.8501889109611511, -0.37110692262649536, 0.44654980301856995, -0.660808801651001, 0.755332887172699, 0.27874648571014404, 0.020622627809643745, 0.1909743696451187, 0.24640898406505585, -1.224165916442871, -0.7843371033668518, 0.26186153292655945, 0.6220248341560364, -0.18612229824066162, -0.042315468192100525, 1.9974400997161865, 1.1198745965957642, -0.2359822541475296, 0.5254998207092285, -0.579511821269989, -0.08766043931245804, 0.05546257272362709, -0.5140272974967957, -0.5428264141082764, -0.2565227150917053, -0.5104297399520874, 0.26650097966194153, 0.3968421518802643, 0.2552303969860077, 0.2895163595676422, -0.2845420241355896, 0.44383731484413147, -0.3614767789840698, -0.28769367933273315, 0.46960964798927307, -0.03326600790023804, -0.22179687023162842, 0.07749626040458679, -0.2007082849740982, 0.5303054451942444, -0.9219778180122375, 0.17210084199905396, -0.5449196100234985, -2.3158748149871826, -0.6826850771903992, 0.7106920480728149, 0.022637605667114258, -1.102985143661499, -0.3752957284450531, 1.0232890844345093, 0.2788733243942261, -0.32553306221961975, 0.05462406948208809, 0.751071572303772, -0.4616495668888092, 0.1995263695716858, -0.5133655667304993, 1.556843876838684, 0.4271793067455292, -1.1396938562393188, -0.24079705774784088, 0.6558054685592651, -1.2409933805465698, -0.2890814542770386, -0.2836833894252777, 0.14195729792118073, -0.32908815145492554, -0.5470721125602722, -0.10054351389408112, 0.17289552092552185, -0.037424154579639435, -0.0356302447617054, 0.9704737067222595, -0.2723199129104614, -0.25056391954421997, -0.9840648770332336 ]
100
0704.0102
Steven Dale Cutkosky
Marc Chardin, Steven Dale Cutkosky, Juergen Herzog and Hema Srinivasan
Duality and Tameness
18 pages
null
null
null
math.AC math.AG
null
We prove a duality theorem for certain graded algebras and show by various examples different kinds of failure of tameness of local cohomology.
[ { "created": "Sun, 1 Apr 2007 19:40:22 GMT", "version": "v1" } ]
2007-05-23
[ [ "Chardin", "Marc", "" ], [ "Cutkosky", "Steven Dale", "" ], [ "Herzog", "Juergen", "" ], [ "Srinivasan", "Hema", "" ] ]
07
[ 0.04101993888616562, -0.313682496547699, 0.09970070421695709, -0.6683560609817505, -0.1464589387178421, -0.3117135465145111, -0.01916021853685379, -0.7982922792434692, -0.9144911170005798, 0.23789586126804352, 0.5182901620864868, 0.2323930561542511, 0.497968852519989, 0.0379101000726223, -1.2306824922561646, -0.26855719089508057, -0.11006836593151093, 0.12026932835578918, -1.3618638515472412, -0.14725898206233978, 0.3622852563858032, 0.025358224287629128, -0.8717479109764099, -0.7950031161308289, 0.29954993724823, -0.2559314966201782, -0.10450111329555511, 0.16013449430465698, -0.099677674472332, 0.7224212884902954, 1.0331772565841675, 0.09978992491960526, -1.3838809728622437, -0.3164350986480713, 0.34652215242385864, 0.3392350673675537, 0.02719840407371521, -0.4085537791252136, 0.40579953789711, -0.28193846344947815, 1.671510100364685, 0.6789707541465759, 0.28046557307243347, -0.010031187906861305, 0.6322301030158997, -0.34738755226135254, 0.3221088945865631, 0.0933549702167511, -0.48168763518333435, 0.6992514729499817, -1.1874662637710571, -0.2768590748310089, -0.3359306752681732, -0.9747951626777649, 0.7169907093048096, -0.9020423293113708, 0.10459963232278824, -0.893126904964447, -0.13172399997711182, -1.0929319858551025, -0.6064460277557373, 0.8364565372467041, -0.6005075573921204, 0.5993151068687439, -0.27903228998184204, -1.021891474723816, -1.107316017150879, 1.4396965503692627, 1.102347493171692, -0.8042611479759216, 0.4565342962741852, 0.048753734678030014, -1.3695732355117798, -0.13419553637504578, 0.35234329104423523, -0.026981312781572342, 0.7063857913017273, 1.0476566553115845, 0.1730036735534668, -1.050699234008789, -0.12779510021209717, -0.0887012630701065, -0.44157111644744873, 0.3838047385215759, -0.447772353887558, 0.7930166125297546, 0.6925809979438782, -0.13854844868183136, -0.013941677287220955, 2.587867259979248, 0.2328794300556183, 0.7971780896186829, 0.34189948439598083, 0.33461740612983704, 0.41314181685447693, -1.0809231996536255, 0.6850903630256653, -0.7649207711219788, -1.011924147605896, -1.8215492963790894, -0.836675763130188, 0.04998935014009476, -0.1572149395942688, 0.7216050624847412, -0.4520995616912842, 0.54000324010849, 1.0212631225585938, -0.1719529777765274, 0.19993498921394348, -0.6380578875541687, 0.7187723517417908, -0.7559908032417297, -0.7198430299758911, -0.11685474216938019, -1.6560900211334229, 1.7844688892364502, -0.9541035294532776, 0.5758988857269287, 0.19613610208034515, 0.3484804034233093, -0.3016056418418884, 0.16377468407154083, 0.6356504559516907, -0.6980099081993103, -0.6911301612854004, 0.9925547242164612, -0.9062665104866028, -0.5479449033737183, -0.509625256061554, -0.18184278905391693, 0.04560518264770508, -0.010832293890416622, -0.26930442452430725, -1.2345073223114014, 0.3943597674369812, 1.1218513250350952, -0.12692810595035553, 1.0861918926239014, 0.12541617453098297, -0.1422957479953766, 0.2542476952075958, 0.3280816376209259, -0.8169012665748596, 1.0157335996627808, 0.3379102945327759, -0.9870554804801941, 0.5042910575866699, 0.39697426557540894, -0.09387242794036865, -0.42661771178245544, -0.4723067879676819, 0.5253947377204895, 0.4439759850502014, 0.9104030728340149, 0.4889340400695801, 0.3349052667617798, -0.9177706241607666, -0.19709429144859314, 0.6851072311401367, 1.5176030397415161, -0.6919368505477905, -0.16568034887313843, 0.4084376394748688, -0.3728814125061035, 0.3451462686061859, -1.6875410079956055, 0.18583112955093384, -0.10752532631158829, -0.4119894206523895, -0.6347844004631042, 0.4709111154079437, 0.13122835755348206, -0.07098090648651123, -0.0633782148361206, 0.34824520349502563, 0.5271466374397278, 0.012400270439684391, 0.8456215262413025, -0.026941560208797455, -1.2886097431182861, -1.4079142808914185, -0.9039461612701416, -1.5012555122375488, 0.12733078002929688, 0.37740257382392883, -1.734594464302063, 0.06447874009609222, -0.23478162288665771, -0.011420881375670433, -0.0574321411550045, -0.94729083776474, 0.8356589674949646, -1.1554670333862305, -0.22382758557796478, 0.29326799511909485, 0.8948935270309448, 0.3076653480529785, -0.5413479804992676, -0.7293090224266052, 0.43920958042144775, 1.017814040184021, -0.2786824107170105, -0.20557406544685364, 0.599561870098114, -1.9485833644866943, -0.2861430048942566, 0.8836194276809692, -0.08516164124011993, 0.2133369892835617, -1.1254583597183228, -0.015729021281003952, -0.0947096198797226, 0.4398343861103058, 0.8436750173568726, 1.417277455329895, 0.12212669104337692, 0.8760272264480591, -0.13005416095256805, 0.2630503475666046, -0.2611091136932373, -0.7368894219398499, 1.155173420906067, 0.15969078242778778, -0.23548907041549683, 0.3096211850643158, 0.4988449811935425, 0.7685272693634033, -0.7687719464302063, 0.22395364940166473, -0.19641093909740448, -0.018608182668685913, 0.8980482816696167, 2.4121007919311523, -0.14339731633663177, 1.3646841049194336, 1.1964805126190186, -0.40573766827583313, -0.012017857283353806, -1.169294834136963, 0.590121865272522, -1.7640115022659302, 0.4629443287849426, -0.6746181845664978, -0.4153599441051483, -0.6532958149909973, 0.26900479197502136, 0.3931984305381775, -0.6257445812225342, -1.2258968353271484, 0.3519660234451294, -0.033436473459005356, 0.2739206552505493, -0.39131656289100647, -0.08124242722988129, -0.11523522436618805, 0.08940574526786804, -0.7327301502227783, -0.8669411540031433, -1.206829309463501, -0.6109619140625, -0.19704170525074005, -0.08669134229421616, -0.20199602842330933, 1.1504570245742798, -0.8332349061965942, -0.6968242526054382, 2.162558078765869, -0.37530407309532166, 1.803750991821289, -0.9447191953659058, 0.1592022031545639, 0.4155150055885315, 0.3903200328350067, 0.046965740621089935, -1.0125118494033813, -0.05698652192950249, -0.03509466350078583, -0.3442266583442688, 0.09058968722820282, -1.5996408462524414, 0.25312018394470215, 0.1875239461660385, -0.8424831032752991, 0.26733192801475525, 1.0862048864364624, -0.5497006177902222, -0.7766909599304199, -0.2718297243118286, -0.16247451305389404, -0.41062647104263306, 0.47828736901283264, 0.5913726687431335, -0.37378257513046265, 0.9694729447364807, -0.5151228308677673, 0.583031177520752, -0.9197638034820557, -0.4713803231716156, 1.268257975578308, -0.5069959163665771, -0.4638318121433258, 0.7780465483665466, 0.056109897792339325, 0.8087606430053711, -0.45145314931869507, -0.17079398036003113, 0.10879595577716827, 0.6065458655357361, -0.38255906105041504, 1.3118584156036377, -1.074331521987915, -0.34202274680137634, 0.7256109714508057, -0.715120255947113, 0.09636853635311127, 1.4011412858963013, 1.712068796157837, -0.05565379559993744, -0.0482555627822876, -0.5014203190803528, 0.2963612973690033, 0.17211498320102692, 0.5492620468139648, -0.02603197656571865, 0.6239870190620422, -0.5554481744766235, 0.9619665145874023, 0.378223180770874, -0.11994821578264236, -1.0397952795028687, 0.2896134853363037, -1.2867836952209473, 1.197607159614563, 0.38927894830703735, -1.0105788707733154, -1.36213219165802, 0.019499776884913445, -0.6126618385314941, 0.3248644471168518, -1.142012596130371, -0.44868940114974976, -0.7154809236526489, 0.02775753103196621, -1.0144373178482056, 0.9082906246185303, 0.1819402277469635, 0.26366519927978516, -0.1253984570503235, 0.1841057986021042, 0.9413375854492188, -0.016360120847821236, -0.9220465421676636, 0.11356735229492188, -0.03139429911971092, -0.36567044258117676, -0.20225492119789124, 0.45249465107917786, -0.34786465764045715, -0.9118069410324097, 0.0705513209104538, -0.47638121247291565, -0.014783689752221107, -0.0512615405023098, -0.28949829936027527, 0.36260294914245605, 0.2077825516462326, 0.39892977476119995, -0.6038705706596375, -0.15039633214473724, -1.0090813636779785, -0.42454659938812256, -0.09852626919746399, -1.7460840940475464, 0.31481674313545227, -0.7252504825592041, -1.1977927684783936, -0.8179004192352295, 0.5435634851455688, -0.2528316080570221, 0.22798146307468414, -0.6407259702682495, 0.6491548418998718, -0.34433993697166443, 0.26034724712371826, -0.0486454963684082, -0.712348461151123, 0.29349222779273987, -0.09486814588308334, -0.637332558631897, 0.341424822807312, -0.5395787358283997, 0.3142857551574707, -0.029521066695451736, -0.5216792821884155, -1.2837570905685425, 0.6859604716300964, -0.18405267596244812, 0.6267607808113098, -0.6069685220718384, 1.531103253364563, -0.4928329885005951, -0.806516170501709, -0.6912906169891357, -0.44254612922668457, 1.2430977821350098, -0.5188347697257996, -0.28927740454673767, 1.3615893125534058, -0.6942240595817566, 0.11327459663152695, -0.8223467469215393, 0.943371057510376, -0.12177158892154694, -0.5363255739212036, -0.44691428542137146, 0.28436851501464844, -0.26166844367980957, -0.14174433052539825, 0.5573669672012329, -1.9817765951156616, -0.5461432933807373, -0.09155427664518356, 0.14196093380451202, 1.2138522863388062, 0.2054363638162613, 0.07981805503368378, 0.17149725556373596, 0.6942135691642761, 0.18115735054016113, 0.043445657938718796, -1.0292305946350098, -1.226349115371704, -0.3247000575065613, -0.6621336936950684, -0.418933629989624, 0.42006853222846985, -0.6895458698272705, -0.1578400880098343, -0.2243027240037918, -0.05383911356329918, -0.4237110912799835, 1.557263970375061, -0.8209009170532227, -0.11203663796186447, -0.01734347455203533, 1.1915644407272339, -0.04574189707636833, 0.735969603061676, -0.3288346827030182, 0.22961094975471497, 0.4027433395385742, 0.15518298745155334, 1.0868210792541504, -0.8474796414375305, 0.37238454818725586, -0.5423961877822876, 0.30012550950050354, 0.22908110916614532, -0.5711183547973633, 0.600830614566803, 0.11473151296377182, 0.7242565751075745, 0.4201027452945709, -0.866072952747345, 0.3037586510181427, -1.3744263648986816, -0.0798194631934166, 0.21994279325008392, 0.2849048972129822, 0.11108175665140152, 0.2532155215740204, -1.3327058553695679, 1.246627926826477, -0.2956385314464569, -0.7433114647865295, 0.0923013761639595, 0.034274257719516754, -0.41897737979888916, 0.3027300238609314, 0.06670194864273071, -0.07931586354970932, 0.6622302532196045, 0.23743833601474762, -0.3242609202861786, -0.10045763850212097, 0.8481506705284119, 0.509363055229187, 0.09172449260950089, -1.6398792266845703, -0.02936418168246746, -0.19611597061157227, 1.2828083038330078, -0.5767998695373535, -1.3459070920944214, -1.7088054418563843, 0.34055545926094055, -0.6002014875411987, -1.6073658466339111, 1.1700410842895508, 0.49559006094932556, 0.22220157086849213, 1.56770920753479, -0.6714383959770203, 0.7396044135093689, -0.7830737829208374, 0.033054664731025696, -1.1541237831115723, 1.1646324396133423, -0.4186669588088989, 1.2746354341506958, -1.0321195125579834, -0.627427339553833, 1.6765071153640747, 0.5237039923667908, -0.03481052815914154, -1.5099799633026123, -0.25504767894744873, -2.5520248413085938, 0.6873102188110352, 1.5422807931900024, -1.2126067876815796, -0.6754704713821411, -0.11222867667675018, -1.077093482017517, 1.091996192932129, -0.7664631605148315, -0.5873148441314697, 0.43443626165390015, -0.44091305136680603, -0.23434829711914062, 0.24514885246753693, 0.23762650787830353, 0.13481490314006805, -0.23799659311771393, 0.3503890335559845, 0.019918257370591164, 0.014389182440936565, 0.5543107390403748, -0.7750676870346069, -1.1574063301086426, -0.01999475248157978, -0.9598875045776367, -0.5323393940925598, -0.8990402817726135, -0.3069929778575897, -0.4207676649093628, -0.004801091738045216, -0.6198875308036804, -0.9795189499855042, -0.3000633716583252, 0.6199706792831421, -0.13587358593940735, 0.6264938116073608, -0.10162714868783951, -0.38061389327049255, 1.293503999710083, -7.295903205871582, -0.5311334133148193, 0.044663455337285995, -0.8203554153442383, 0.2433958202600479, -0.17084692418575287, -0.4954501688480377, -0.5773162245750427, -0.781293511390686, 0.5385249853134155, 0.7968299388885498, 0.25763145089149475, 0.5869158506393433, -0.3434186577796936, -0.6677089333534241, -0.40119171142578125, -0.36628708243370056, 0.131989985704422, 0.1372908353805542, -0.1471550464630127, -0.4538502097129822, 0.6916075944900513, -0.4685361981391907, -0.39823728799819946, 2.725362777709961, 0.4433199167251587, -0.049583613872528076, -0.4388657212257385, -0.5910369157791138, -0.011334104463458061, -0.9258129596710205, -0.3416078984737396, -1.272270917892456, 0.2596897482872009, 0.06279878318309784, -0.4927278161048889, 0.8395158052444458, 0.6890377998352051, -0.2623341679573059, 0.48162731528282166, 0.2213163822889328, -0.9899745583534241, -1.309718132019043, 0.5385609269142151, -1.5062861442565918, -0.4471464157104492, -0.6645151972770691, -0.5815054774284363, 0.21097104251384735, 0.964923620223999, -0.9843512177467346, 1.5235626697540283, 0.41036978363990784, 0.14497946202754974, -0.11186400800943375, 0.45141613483428955, 0.8385429978370667, -0.668239176273346, -1.502481460571289, 0.21532359719276428, -0.9815678000450134, -1.2345925569534302, -0.36467286944389343, 0.7220034003257751, -0.0554257333278656, -0.24598702788352966, 0.16560246050357819, 1.2466778755187988, 0.8122970461845398, -0.23383693397045135, -0.43383216857910156, 0.3160361647605896, 1.322147250175476, -1.465022325515747, -0.7260605692863464, 0.574693500995636, -0.16884566843509674, -0.45060932636260986, 0.8802961707115173, 1.461688756942749, 0.8816738128662109, 0.4816023111343384, -0.3885723650455475, -1.170666217803955, -1.1907374858856201, 0.23308666050434113, 0.38336101174354553, 0.47119346261024475, 1.0607342720031738, -1.7859439849853516, 0.6847575306892395, 0.16139928996562958, -0.689213752746582, -0.3290819525718689, 1.4538029432296753, -0.2408675104379654, -0.3286813795566559, -0.36883795261383057, -0.4306645393371582, 1.8646131753921509, -0.6497337222099304, 0.6907950043678284, 0.577683687210083, -0.23449665307998657, -0.11776633560657501, 0.7224615812301636, -0.14900840818881989, -0.32156670093536377, -0.2022821307182312, -0.4426764249801636, -1.6947526931762695, 0.8345232605934143, 0.12395676970481873, -0.23211580514907837, 0.8452445864677429, 1.8042974472045898, -0.6576241850852966, 0.5570182800292969, -0.7473258376121521, 1.4329787492752075, 0.5868385434150696, -0.7282505035400391, 1.0500729084014893, 0.8542075157165527, 0.5150272250175476, -0.4237806499004364, -0.31809428334236145, 0.41829127073287964, -0.5805012583732605, -0.4070597290992737, 0.4306666851043701, -0.2910196781158447, -1.8289737701416016, 1.0258331298828125, -0.9440456628799438, -0.9644864797592163, -1.3376322984695435, -1.7318123579025269, -0.5775503516197205, 0.16215606033802032, 0.12543383240699768, -0.6783460974693298, -0.7347621917724609, -0.05654308572411537, 0.1184488981962204, 0.032397132366895676, -0.3309030532836914, -0.3546306788921356, 0.18953454494476318, 0.6202700138092041, 0.7034505605697632, 1.7435160875320435, 0.31483572721481323, -0.291531503200531, -0.23765859007835388, 0.6066468954086304, 0.6091532707214355, -1.2592204809188843, 0.05914861708879471, -0.7188768982887268, 0.8220710158348083, -0.9979936480522156, 1.6216741800308228, 1.9002474546432495, 1.516394853591919, 0.3076293170452118, 0.3620658218860626, 0.46753785014152527, -0.04476510360836983, 0.7974899411201477, 0.31921127438545227, -0.5650980472564697, 1.2483481168746948, -0.4023878872394562, -0.46929794549942017, 1.2988426685333252, -0.6386683583259583, 1.40958571434021, 0.18771272897720337, -1.5011317729949951, 0.2456524819135666, -0.960175096988678, 0.1869676262140274, -0.874560534954071, 0.5174256563186646, 1.3676221370697021, 0.9080541133880615, -0.5475912094116211, 0.4535325765609741, 0.8942050933837891, 0.4582129120826721, 0.40234363079071045, -0.012924406677484512, -0.13961093127727509, 0.05785318836569786, 0.43340492248535156, -0.40239131450653076, 0.22910341620445251, 0.11839883774518967, -0.49696603417396545, -0.3228130042552948, -0.226782888174057, -0.4104321002960205, 0.060009248554706573, -0.32407906651496887, -0.682420551776886, -0.6883062720298767, -0.22007697820663452, 0.6808487176895142, -0.5226739048957825, 0.7944671511650085, -0.3258480429649353 ]
101
0704.0103
Gianluca Gemelli
Gianluca Gemelli
Generalized regularly discontinuous solutions of the Einstein equations
26 pages.
Int.J.Theor.Phys.46:3312-3330,2007
10.1007/s10773-007-9450-y
null
gr-qc
null
The physical consistency of the match of piecewise-$C^0$ metrics is discussed. The mathematical theory of gravitational discontinuity hypersurfaces is generalized to cover the match of regularly discontinuous metrics. The mean-value differential geometry framework on a hypersurface is introduced, and corresponding compatibility conditions are deduced. Examples of generalized boundary layers, gravitational shock waves and thin shells are studied.
[ { "created": "Sun, 1 Apr 2007 19:43:30 GMT", "version": "v1" } ]
2008-11-26
[ [ "Gemelli", "Gianluca", "" ] ]
07
[ 0.5926570892333984, 0.11941058933734894, -0.18499650061130524, -0.864080011844635, -0.23938672244548798, -0.560965895652771, 0.5655684471130371, -0.892940878868103, -0.03533327579498291, 0.19358457624912262, -0.4440530240535736, 1.452317714691162, -0.2807563543319702, 0.4771019518375397, -0.6002238988876343, -0.9880512356758118, -0.7037903070449829, -0.13080482184886932, -0.23868082463741302, 1.177724003791809, -0.45304566621780396, -0.9757737517356873, -0.3606637120246887, 1.0834949016571045, 0.07423316687345505, -0.6224108338356018, -1.2677149772644043, 1.29294753074646, 0.27161428332328796, 0.31908950209617615, 0.6739647388458252, 0.7119417786598206, -0.6308813691139221, 0.06462210416793823, -0.1220039576292038, 1.1081647872924805, -0.28054893016815186, 0.4895331859588623, -1.1728729009628296, -1.1246579885482788, 1.1615023612976074, 1.0265045166015625, 0.22899165749549866, 0.29845696687698364, -0.22760269045829773, -0.8699844479560852, -0.5349012017250061, -0.11286911368370056, 0.08529100567102432, 1.2529633045196533, 0.8286243081092834, 1.0470563173294067, 1.011881709098816, 0.2507474422454834, 0.4202212691307068, -0.39161086082458496, 1.090428352355957, 0.43732550740242004, -0.09249240159988403, -0.480965793132782, -0.17565800249576569, -0.04081721603870392, 0.39232948422431946, 1.1695513725280762, -1.3134346008300781, -0.5228675007820129, 1.3214203119277954, 1.5870667695999146, -0.5603582859039307, 0.04270109906792641, 1.4069936275482178, -0.9294471144676208, -0.6059831380844116, -0.9125939607620239, -1.437104344367981, -2.1443822383880615, -0.5212624669075012, -0.22636678814888, -0.139975443482399, 0.1749332994222641, -0.852637529373169, 0.3894205093383789, -0.529442310333252, -0.08335761725902557, 0.2886678874492645, -0.3930939733982086, -0.42916855216026306, -0.2538190186023712, -0.42622026801109314, -0.17526428401470184, -0.48497337102890015, -0.19371457397937775, 0.4842688739299774, -0.9142488837242126, -0.3676122725009918, -0.6089916229248047, 0.0009227522532455623, 1.3401870727539062, 0.4473518133163452, 0.09095951169729233, -0.3521521985530853, -0.7950758337974548, 0.21974535286426544, -1.0851854085922241, -1.0247421264648438, -0.1024760827422142, 0.5020580291748047, 0.4036363959312439, 1.4837013483047485, 0.046805109828710556, 0.3245992362499237, 0.4839853048324585, 0.5555567741394043, -0.04824715480208397, 0.08827745169401169, -0.2254110723733902, -0.3165195882320404, -0.5352380871772766, -0.2185455560684204, 0.3864764869213104, 0.2660689949989319, 0.3004344403743744, -0.04979817941784859, -0.6866284608840942, 0.17388920485973358, 0.06719636172056198, -0.8409696817398071, -0.7473206520080566, -0.6613196730613708, -0.3079192340373993, 0.22217164933681488, -0.5911332964897156, -0.4906165301799774, -0.5074059367179871, 0.42985421419143677, -0.509454607963562, -0.5316295623779297, -0.8093909025192261, -0.5554830431938171, 0.2230186015367508, 0.9532149434089661, -0.048433754593133926, -0.4008452594280243, 1.4542509317398071, -0.2224608063697815, 0.08114387840032578, 0.6934197545051575, 0.40612074732780457, 0.253923237323761, -0.13996830582618713, -0.8375498056411743, -0.010538979433476925, 0.2821302115917206, 0.3425982892513275, -0.6357605457305908, -0.5192766189575195, -0.49243271350860596, -0.9031424522399902, 0.1874673217535019, 0.42754504084587097, -1.1301939487457275, -1.330449104309082, 0.09057378023862839, -1.876686453819275, -0.10506866127252579, -0.4215845465660095, 0.06728026270866394, -0.9775343537330627, -0.008650409989058971, -0.2513079047203064, -0.5752600431442261, -0.3717542886734009, 1.660008430480957, 0.3490184247493744, 0.36890318989753723, -0.7189886569976807, 0.4537864327430725, -0.24238233268260956, 0.8889528512954712, -0.9804085493087769, 0.08027391135692596, -0.21116678416728973, -0.6459107995033264, 0.47415080666542053, -0.09717212617397308, -0.9478140473365784, 0.41023868322372437, -0.513029932975769, 0.15490469336509705, 0.30991220474243164, -0.027009431272745132, -0.5138339400291443, -0.2631141245365143, -1.0321104526519775, -0.2202240526676178, 0.9168880581855774, -1.1024304628372192, 0.8521044254302979, -0.3057887852191925, 0.4130556583404541, 0.9083808660507202, 0.5033501982688904, -0.5030365586280823, 0.1776856631040573, -1.4265774488449097, -0.07350469380617142, -0.6454759836196899, 0.48528674244880676, -0.056837208569049835, -0.2984098792076111, -0.8541991710662842, -1.0916234254837036, 0.8623204827308655, -1.0658215284347534, 0.46340683102607727, 0.25515514612197876, -0.12008672952651978, -0.7688953876495361, -0.33115315437316895, 0.7548182606697083, 1.0605354309082031, 0.5459029674530029, 0.8442409634590149, 0.5652695298194885, -0.9359819293022156, 1.2253588438034058, -0.7772656679153442, -0.5512322187423706, -0.5898205637931824, -0.13162386417388916, 1.138264775276184, -0.33583536744117737, -1.0506619215011597, -0.7945533990859985, 0.3660550117492676, 2.171971082687378, -0.9845389723777771, 0.6443047523498535, 0.8669888377189636, 1.6067148447036743, -0.4002200663089752, -0.5309209823608398, -0.5202155709266663, 0.35418373346328735, -0.14439606666564941, 0.18532051146030426, 0.8794529438018799, 0.3748718798160553, -0.20106954872608185, -0.3128575086593628, 0.3953624665737152, 0.33935609459877014, -0.13584569096565247, -0.9615951776504517, -0.47896647453308105, -0.8174793720245361, -0.733641505241394, -0.3129781484603882, -1.314259648323059, 0.17425130307674408, -0.4636431634426117, -0.9801620841026306, 0.13113217055797577, 0.09578745812177658, -1.1759217977523804, -1.001932144165039, 0.5027075409889221, 0.2780952453613281, -0.33397674560546875, 0.9324312210083008, -1.6840577125549316, -0.2084713578224182, -0.4171978235244751, -0.1651441603899002, -0.5612415671348572, 0.8419775366783142, 0.03806211054325104, -1.1748682260513306, -0.3076106607913971, -0.28399574756622314, -0.44480419158935547, 1.158818006515503, 0.5458340048789978, 2.0458693504333496, 0.9459710121154785, -0.12133900821208954, 0.1421133428812027, -0.05132567882537842, -0.010279675014317036, -0.7509394288063049, -0.2516426146030426, -0.7722594738006592, -1.1873325109481812, 0.5682306885719299, -0.22243155539035797, -1.286766529083252, 0.4923669993877411, 0.4746449887752533, 0.06135876849293709, 0.5003402829170227, -0.2033933699131012, 0.7085651755332947, -2.0483553409576416, 0.5566025972366333, 0.3293127119541168, -0.8530122637748718, -1.1375603675842285, 0.8239274024963379, -0.5465639233589172, 0.447848916053772, -0.6029676198959351, 0.27014926075935364, -0.9480280876159668, -0.08116041123867035, 0.8840854167938232, -0.008269460871815681, -0.7138742804527283, 0.4280174672603607, 0.28160330653190613, -0.4611198902130127, 0.6976187825202942, 0.31244340538978577, -0.08851821720600128, 0.5164194107055664, -0.14762437343597412, -0.14073149859905243, -0.011002520099282265, 0.10765630751848221, 0.3740922212600708, -0.10864942520856857, -0.5407848954200745, -0.8615511059761047, -0.05470003932714462, -0.08400609344244003, -1.148938536643982, -0.7850070595741272, -1.050108551979065, -0.7831290364265442, -0.1533016711473465, -0.19450217485427856, 0.16076749563217163, 1.545698881149292, -1.172528624534607, 0.5953272581100464, -1.3757723569869995, 0.27772361040115356, 0.5740798115730286, -0.6282762885093689, -0.8912369012832642, 1.4889099597930908, -0.5203255414962769, 0.03974825143814087, -1.6189781427383423, 0.2982158362865448, 0.8177300691604614, -0.2720564901828766, 0.11667981743812561, 0.5471066236495972, 0.6325876116752625, 0.0878014788031578, 0.09326279163360596, -0.4259739816188812, 1.4120043516159058, 0.06942582130432129, 0.30872097611427307, -1.4715306758880615, -0.43384885787963867, -0.9476469159126282, 0.983076810836792, -0.3793349862098694, -0.08236432075500488, -0.37124761939048767, 0.017521148547530174, -0.23898382484912872, -0.12329446524381638, 0.1402703821659088, 0.5219761729240417, -0.3309856951236725, 0.7040021419525146, 0.39976441860198975, -0.05520001798868179, -0.0014279827009886503, -0.023164866492152214, -0.5206419825553894, 0.3204997777938843, 0.9652394652366638, -0.5111758708953857, 0.3647410571575165, -0.15271781384944916, -0.13220371305942535, -0.10147923231124878, -0.3727153539657593, 0.24648244678974152, 0.10722128301858902, 0.12749028205871582, 0.43458428978919983, -1.3932150602340698, -0.7994725704193115, 0.4995602071285248, 1.028664469718933, -0.2836797833442688, -0.9620172381401062, -0.3643944263458252, -0.5461990833282471, -1.417439579963684, 0.10000435262918472, 0.19022782146930695, 0.10674399137496948, 0.252381294965744, 0.30715909600257874, -0.36059918999671936, 0.5611226558685303, 0.24493946135044098, 0.01746317930519581, -0.1664229929447174, -0.7905009388923645, -0.748616635799408, 0.06246132031083107, 0.36578479409217834, 0.6795668005943298, 1.1244723796844482, -0.4101555645465851, 0.8165653944015503, 1.4366812705993652, 0.8112698793411255, -0.24057655036449432, -0.09449701011180878, -0.04553454741835594, -1.21053946018219, -0.02555217407643795, -0.8787248730659485, -1.3966907262802124, 0.21515697240829468, -0.5824661254882812, -0.6664054989814758, 0.32014861702919006, -0.39291897416114807, 0.585064709186554, -0.19154886901378632, 0.25181877613067627, -1.2332206964492798, -0.8263767957687378, -0.39948439598083496, -0.07589433342218399, 0.47737404704093933, 1.2433509826660156, 0.9682870507240295, 0.6631093621253967, 0.037031397223472595, 0.9586407542228699, 0.628140389919281, 0.38268640637397766, 0.2903483808040619, -0.8286828398704529, 0.0344260148704052, -1.5318739414215088, 0.7046370506286621, -0.27178528904914856, -0.12695170938968658, 0.21842139959335327, -0.9178361892700195, -0.30402207374572754, 1.827389121055603, -0.39637815952301025, 1.0632431507110596, -0.7672313451766968, -0.37097692489624023, -0.16500814259052277, 0.21499396860599518, 0.6568758487701416, 1.4109703302383423, -1.2087090015411377, -0.47971248626708984, -0.824566662311554, 1.2561349868774414, -0.1633647233247757, -0.8693512082099915, -0.9154369831085205, -0.5491706132888794, 0.20865830779075623, 1.075732946395874, 0.6282801032066345, 0.28218400478363037, 1.0193439722061157, -0.3831583857536316, 0.038802094757556915, -0.4208953082561493, -0.22762568295001984, 0.13988691568374634, 0.3907758891582489, -0.11658239364624023, -0.7326454520225525, 0.00024108827346935868, 0.5334674715995789, -0.4970412254333496, 0.10053664445877075, 0.32160964608192444, 0.5493125319480896, -0.5690869092941284, 1.1273001432418823, 0.69545978307724, 1.1606833934783936, 0.44727805256843567, -1.2254241704940796, -0.433263897895813, -0.6102588772773743, -0.16680864989757538, 0.25220513343811035, 0.18730485439300537, 1.3504592180252075, -0.9064778685569763, 0.7635889053344727, 0.5021069049835205, -0.07341955602169037, 0.27125585079193115, 0.4844111204147339, -0.18359656631946564, -3.4547197818756104, -0.9331574440002441, -0.000040379374695476145, 0.17003491520881653, 0.19707128405570984, -0.25087690353393555, -1.177182912826538, 0.5694458484649658, 0.0864192321896553, -0.38929125666618347, 1.0309040546417236, -0.9747220873832703, -0.002690243301913142, 0.2332485169172287, -0.602229654788971, 1.080804705619812, -0.7616011500358582, 0.8770713210105896, -0.04697194695472717, 0.2543970048427582, -1.2738877534866333, -0.023245370015501976, -0.9906908273696899, -0.7636014223098755, 0.4359607398509979, 0.760242760181427, -1.010693907737732, 1.6166578531265259, -0.03972375765442848, 0.5157152414321899, -0.5308456420898438, 0.1956910341978073, 0.18564069271087646, 0.05264229699969292, -0.2828315794467926, -0.143659308552742, 0.7641013264656067, -0.41031304001808167, -0.7361926436424255, -8.075152397155762, 0.2941754162311554, 0.36420580744743347, -0.36865973472595215, -0.07686381042003632, -1.7995734214782715, 0.006916298530995846, -0.06840823590755463, 0.9142909646034241, 0.3033652603626251, 1.7168501615524292, 0.6254073977470398, -0.40932512283325195, -0.49050816893577576, 0.7837094068527222, 0.16561394929885864, -0.42446377873420715, -0.4330812990665436, -0.34176647663116455, -0.35483497381210327, -0.9986789226531982, -0.10604851692914963, 0.7314486503601074, -0.002265568822622299, -0.789991557598114, -0.5785822868347168, -0.18294553458690643, 0.13974595069885254, -0.6433066129684448, 0.37515029311180115, -0.8025898933410645, 0.5567541718482971, 0.2561299204826355, -0.1351260393857956, -0.7163953185081482, -1.3714654445648193, -0.9081442952156067, -0.11701330542564392, -0.07329346239566803, 0.4711330831050873, 0.09222843497991562, -1.1666706800460815, 0.4126136302947998, 0.8458882570266724, -0.38567230105400085, 1.1165337562561035, -0.37024322152137756, 0.17795909941196442, 0.34894973039627075, -1.3459882736206055, -1.0502883195877075, 0.32076001167297363, -0.2319396734237671, -0.3048701584339142, 0.21131658554077148, 0.20016421377658844, 0.20543025434017181, 0.19248467683792114, 0.3228709399700165, -0.437755286693573, 0.154127299785614, -0.3510899841785431, -0.6206716299057007, 0.9147645235061646, 1.5514934062957764, 1.4783843755722046, 1.5322743654251099, -0.3924478590488434, 0.014222131110727787, -0.8867173194885254, 0.2708776295185089, -0.5717055201530457, 1.1233888864517212, -0.46276557445526123, -0.4470517039299011, -0.793396532535553, 0.11519472301006317, 2.8373172283172607, 1.09052574634552, 0.4627319574356079, 0.3254149556159973, 0.7216895222663879, 0.4356449842453003, -0.16386286914348602, -0.6182361841201782, 0.25632911920547485, -0.21015006303787231, -0.09862755984067917, 1.5122387409210205, -0.2897156774997711, 0.7417584657669067, -1.2475790977478027, 0.4498063623905182, 0.11519177258014679, 0.12906134128570557, 0.08735427260398865, 0.24037101864814758, -0.8414090275764465, 0.04024949297308922, 0.7526218891143799, -0.553800106048584, -0.5566549301147461, 0.3213324546813965, 0.19536617398262024, 0.1273590624332428, -0.606503963470459, -1.7892000675201416, -0.5845834016799927, 0.32500869035720825, -0.522537350654602, -0.4683811366558075, 0.3174322545528412, 0.7137051224708557, 0.07057923078536987, 0.07282347232103348, -0.20391684770584106, 0.11034693568944931, -0.18034939467906952, -0.49132904410362244, -0.8498864769935608, 0.1809481531381607, 0.1922798603773117, 0.6294553875923157, 0.19818717241287231, -0.08809205889701843, -1.1013928651809692, -0.12091923505067825, -1.1311492919921875, 0.966469407081604, -0.7589525580406189, 0.9402114152908325, -0.33660298585891724, 0.46010977029800415, 0.6966025829315186, -0.5173080563545227, -0.75194251537323, 0.2134559452533722, 0.27791154384613037, 0.6208786964416504, 0.6452348828315735, -0.26432672142982483, 0.41353729367256165, 0.30466940999031067, 0.34692490100860596, 0.4178406298160553, 0.11269605904817581, -0.6369003057479858, 0.09579463303089142, -0.3492242991924286, -1.6740219593048096, 0.41023245453834534, 0.32303524017333984, 1.0708907842636108, 0.2857383191585541, -0.4833239018917084, -1.3433504104614258, -1.0595147609710693, -0.916452169418335, -0.37116244435310364, 0.04823554679751396, -0.46736380457878113, -0.26982662081718445, 0.4423762559890747, 1.5065325498580933, 1.0750383138656616, -0.49898603558540344, 0.34760406613349915, 0.06382543593645096, -0.5558404922485352, -0.010385220870375633, -0.11043763160705566, 0.5796328186988831, 0.1876080185174942, 0.006508436985313892, -0.16843849420547485, -0.8438975214958191, 0.9367890357971191, -0.2058771699666977, 1.0091917514801025, -1.1950528621673584, -0.21867063641548157, 0.5468788146972656, -0.33942270278930664, -0.16237227618694305, -0.6554911732673645, 1.1451672315597534, -0.3081284761428833, 2.037935495376587, 0.2802842855453491, 1.0911214351654053, 0.6639946699142456, 0.7226769924163818, -1.3575941324234009, 1.0435816049575806, 0.07975635677576065, -0.4797093868255615, -0.7313549518585205, -0.3564532697200775, 0.30624622106552124, -0.5804439187049866, 0.5111910104751587, 0.11179032176733017, -0.24311521649360657, 0.7063385844230652, -1.5339012145996094, -0.4359590411186218, -0.03135893866419792, 1.1013903617858887, 0.7057989835739136, -1.409541130065918, -0.9143967628479004, -0.6155242919921875 ]
102
0704.0104
Michele Grassi
Giovanni Gaiffi, Michele Grassi
A geometric realization of sl(6,C)
16 pages, no figures
null
null
null
math.DG math.RT
null
Given an orientable weakly self-dual manifold X of rank two, we build a geometric realization of the Lie algebra sl(6,C) as a naturally defined algebra L of endomorphisms of the space of differential forms of X. We provide an explicit description of Serre generators in terms of natural generators of L. This construction gives a bundle on X which is related to the search for a natural Gauge theory on X. We consider this paper as a first step in the study of a rich and interesting algebraic structure.
[ { "created": "Sun, 1 Apr 2007 19:52:31 GMT", "version": "v1" } ]
2007-05-23
[ [ "Gaiffi", "Giovanni", "" ], [ "Grassi", "Michele", "" ] ]
07
[ 0.6129729747772217, 0.09747164696455002, 0.9839344024658203, 0.03089175373315811, 1.6080045700073242, 0.8384274244308472, 0.9850332736968994, 0.04335961863398552, -0.922974705696106, -0.5366657972335815, 0.3685634434223175, 0.19204692542552948, -0.05190706625580788, -0.6127176880836487, -0.4084240794181824, 0.48233562707901, -1.080570101737976, -0.17918696999549866, -0.5617456436157227, -1.0599334239959717, -0.3358668386936188, 0.5806834697723389, -0.14201006293296814, -1.2919940948486328, -0.5738978385925293, 0.40921083092689514, -1.2515584230422974, 0.24506878852844238, -0.7085023522377014, -0.09323478490114212, -0.20735445618629456, 1.0835684537887573, 0.005968149751424789, 0.12840859591960907, 0.2004287838935852, 1.2187350988388062, -1.0626400709152222, 0.06741025298833847, -0.8061116337776184, -0.33275580406188965, -0.5009024143218994, -0.006081263534724712, 0.32354605197906494, -0.06969065964221954, -0.3128843307495117, -0.8694588541984558, 0.19986015558242798, -0.6509131193161011, 0.5502795577049255, -0.4943615198135376, -0.6324942111968994, 0.8145235180854797, -0.22048220038414001, 0.14272652566432953, 0.41084590554237366, 0.6515095233917236, -0.2371339201927185, -1.5563033819198608, -1.015609860420227, 0.22329898178577423, -0.14509670436382294, 0.5677269101142883, 0.8080177307128906, 1.9189369678497314, -0.7381534576416016, -0.4995652139186859, -0.5222375988960266, 0.1360081434249878, 0.6957787871360779, -0.09746916592121124, 0.5642438530921936, 1.0035101175308228, -0.38279497623443604, -0.2479219287633896, 0.18512241542339325, -0.5007835626602173, 0.5717753767967224, 0.05836021527647972, -0.4053317904472351, 0.022481800988316536, 0.031365878880023956, -0.47870782017707825, -1.2131694555282593, 0.7158026695251465, -0.2270549237728119, 0.021655304357409477, 1.012999415397644, 0.09650919586420059, -1.1459920406341553, 0.5836392641067505, 0.4094542860984802, 1.4362505674362183, 0.4613223373889923, 0.15722139179706573, 1.1081613302230835, 0.3720257878303528, -0.08886285126209259, 0.30166757106781006, -0.7054773569107056, -0.2609337568283081, -0.49977606534957886, 0.5993384122848511, 0.08962246775627136, 0.7941935658454895, -0.6297973394393921, 0.0007973194005899131, 0.544819176197052, 0.1842910498380661, -0.6946461796760559, -0.36822962760925293, 0.05078152194619179, 0.4498603940010071, -0.31857189536094666, -1.5692338943481445, -1.4565633535385132, 1.9556396007537842, -0.02432495541870594, 0.9420723915100098, 0.149783194065094, 0.10412497073411942, -0.6973327994346619, 0.319722056388855, 1.188839316368103, 0.27044540643692017, -0.04859855771064758, 0.29064589738845825, -1.128514051437378, -0.4769554138183594, -0.04380885884165764, -0.16578099131584167, -0.29104378819465637, 0.1315775066614151, 0.7159782648086548, -0.3864250183105469, -0.6707330942153931, 0.31015148758888245, -0.7220129370689392, -0.08534485846757889, -0.48226767778396606, -1.0200835466384888, 0.1892649084329605, -0.34391164779663086, -0.05201936140656471, 0.030550193041563034, -0.19632172584533691, 0.42196401953697205, 0.5448508262634277, -0.10457085072994232, 1.5227214097976685, 1.7266993522644043, 0.8846151232719421, -0.539678156375885, 1.199140191078186, 0.5257194638252258, -0.04134853184223175, -0.7982807159423828, -0.0074551100842654705, 0.054795168340206146, -0.3327990472316742, 0.5441295504570007, 0.6749513745307922, -1.4811055660247803, -0.10078217089176178, 0.3571127653121948, 0.7760568261146545, -0.06996934860944748, 0.020905185490846634, -0.07813016325235367, 0.49898967146873474, 0.7904770970344543, 0.04187793657183647, -0.1378011554479599, -0.40772759914398193, 0.1925337314605713, 1.323050856590271, 0.5223907232284546, -0.05632960423827171, 0.42219674587249756, 0.4213216006755829, -0.90860515832901, -1.6701408624649048, -0.4255630373954773, 0.48723313212394714, 0.9304904937744141, -0.7587810754776001, -0.908492922782898, 0.7442180514335632, -0.1290118545293808, 1.2202718257904053, -0.9896588921546936, -0.8466935157775879, -1.0649622678756714, -0.36560186743736267, -0.7363153696060181, 0.41472333669662476, -0.617203414440155, 0.6388340592384338, 0.8974899053573608, 0.08670046925544739, -1.0796228647232056, 0.08716745674610138, -0.22419941425323486, -0.5171251893043518, 1.6607400178909302, -1.239432454109192, -0.6842614412307739, 0.8485216498374939, -0.15800508856773376, 0.507606029510498, 0.2718806564807892, 0.8741899132728577, -0.1674630045890808, 0.6842250823974609, -1.1479905843734741, 1.4847332239151, -0.3813696503639221, 0.3899330198764801, 0.11530221998691559, 0.024555684998631477, 1.5859748125076294, -0.45568257570266724, 1.1979796886444092, 0.9594647884368896, 1.6284257173538208, 0.12889836728572845, -0.6604929566383362, 0.26355114579200745, -0.5042557120323181, 0.6754225492477417, -1.3344331979751587, -0.4244706332683563, -0.7921302914619446, 0.7748568654060364, -0.3301938772201538, -0.296987384557724, -0.2389799952507019, -0.5038890242576599, -0.37294355034828186, -0.7038820385932922, -0.09071313589811325, -0.6396998167037964, 1.278504729270935, 1.3806262016296387, -0.7381043434143066, -0.9682526588439941, -0.503908634185791, -1.167966604232788, 0.34575721621513367, 0.4631759226322174, 0.04009879752993584, -1.5429701805114746, 0.17422856390476227, -0.48036250472068787, -0.2692062556743622, 0.8295831680297852, -0.4373003840446472, -0.047976892441511154, -0.5528270602226257, -2.366851329803467, -1.1672228574752808, -0.913536787033081, 0.19586652517318726, -1.9630569219589233, 0.41315022110939026, 0.2720337212085724, -1.416508436203003, 0.8332688212394714, 0.933998703956604, 0.6457052826881409, 0.03695666044950485, -0.8858506679534912, 2.1151821613311768, 0.31856274604797363, 0.290351003408432, -1.0276691913604736, -0.2622271478176117, -0.24125395715236664, 0.5455746054649353, -0.6937831044197083, -0.23407620191574097, 0.6045331954956055, 2.3230044841766357, 0.666890025138855, 0.3267870247364044, 1.0172470808029175, 0.1010998860001564, -0.9070358872413635, 0.12913644313812256, 0.2590698003768921, -0.6582145690917969, 0.18168959021568298, -1.3929308652877808, 0.5739679336547852, -0.8028047680854797, -0.6658487319946289, 0.08689538389444351, -1.7380117177963257, -0.02882111631333828, 0.39726778864860535, -0.03661056235432625, -0.6383187174797058, -0.5889699459075928, 0.022161878645420074, 0.005268715787678957, 0.14373232424259186, 0.16277927160263062, 0.19320061802864075, 0.025639573112130165, -0.9817044138908386, -0.10962936282157898, -0.9350862503051758, 0.1398254930973053, -0.6290279030799866, -0.3630231022834778, -0.8019520044326782, 0.427390992641449, -0.15141676366329193, -0.5069936513900757, -0.09722329676151276, -0.31227174401283264, -1.1237468719482422, -0.9846850037574768, 1.747758150100708, -1.9685152769088745, -0.6433125734329224, -0.38723024725914, 1.0396685600280762, -0.9174168109893799, 0.5840786695480347, 0.5347186326980591, 0.032915472984313965, -0.13249315321445465, 0.252689391374588, 0.25070029497146606, -0.6538557410240173, 0.10464432835578918, 0.9732719659805298, 0.23542243242263794, 0.43598368763923645, -0.37492769956588745, -0.7889192700386047, -0.8115615844726562, -2.1499826908111572, -1.1645116806030273, -0.44164127111434937, 0.028621092438697815, 0.8931783437728882, -0.7924768924713135, -0.9157854914665222, 1.563204288482666, -0.38469207286834717, -0.6462723016738892, 0.0767400935292244, 0.455979585647583, -0.6772589087486267, 0.38275912404060364, 0.10683683305978775, 0.9801703095436096, 0.39550817012786865, 0.10654149204492569, -0.00639467453584075, 1.8814536333084106, 0.505237877368927, -0.6507763862609863, 0.6148280501365662, -0.6002519130706787, -0.8304961919784546, 0.2502124607563019, 0.8226922750473022, -0.03406614065170288, -0.48820462822914124, 0.27008363604545593, -0.9602440595626831, 0.32116788625717163, -1.2785307168960571, -1.8907142877578735, -1.097303032875061, 0.680612325668335, 0.4726538062095642, -0.15926863253116608, -0.7396556735038757, -0.2795667052268982, 1.2990370988845825, -0.4872815012931824, 0.7658045887947083, -0.9624597430229187, 0.5335620045661926, -1.1400554180145264, -0.21978019177913666, 0.1580396443605423, 0.8395869731903076, -0.009725859388709068, 0.8252108693122864, -0.1286403387784958, -2.3342444896698, 0.6412315964698792, 0.9488009214401245, -0.7559897303581238, -0.23156967759132385, 0.5528490543365479, -0.2593618929386139, -0.9678829312324524, 0.5135043263435364, 0.560245931148529, -0.41519907116889954, -0.7686087489128113, -0.1922277808189392, 0.6583854556083679, 0.3350452780723572, -1.1535027027130127, 0.6174917221069336, 0.9485546350479126, -1.2644742727279663, 0.5132771134376526, -0.5780599117279053, -0.13079318404197693, -0.46261438727378845, 0.8413075804710388, 0.9533013701438904, -1.530552625656128, 0.34822195768356323, -1.031339168548584, -0.24342471361160278, -0.36328351497650146, 0.13049866259098053, 0.6530577540397644, -0.12796178460121155, -0.19900919497013092, -1.2478487491607666, 0.8437095880508423, 0.20739483833312988, 0.3945254385471344, 0.22006505727767944, -0.10933162271976471, -0.6041778922080994, -0.0696660652756691, 0.6780346632003784, 2.16152024269104, -0.7049462199211121, -0.7338507175445557, -0.1519276201725006, -0.07671305537223816, 0.07127727568149567, -1.0709221363067627, -0.32088229060173035, 0.33836716413497925, -0.7074366807937622, 1.1270753145217896, -1.2472014427185059, 0.031026329845190048, 0.3502945899963379, -0.07905007898807526, 1.2920502424240112, -0.43891680240631104, 0.3924221694469452, 0.4127235412597656, 1.032857894897461, -0.4186954200267792, -0.030838990584015846, 0.4167845845222473, 0.10806575417518616, 0.2570703625679016, -0.03348024562001228, -1.8700491189956665, 1.2988688945770264, -0.27906927466392517, 0.7233954668045044, 0.19332614541053772, -0.23299244046211243, 1.2209258079528809, -0.339573472738266, -0.09053175151348114, -0.19859126210212708, 0.23404499888420105, -0.8469349145889282, -1.5235391855239868, 0.6743982434272766, -0.23720292747020721, 0.37362930178642273, -0.39345690608024597, 1.0171071290969849, 1.2076536417007446, 0.32549405097961426, -0.08739907294511795, 0.6051380038261414, -0.06868802756071091, 0.5485291481018066, -0.41076573729515076, -1.6556730270385742, 0.19984504580497742, -0.7608306407928467, -0.37756818532943726, -0.3953096568584442, -1.012459397315979, -0.5119147896766663, 0.26416876912117004, 0.2191513031721115, 0.41185903549194336, -0.07240975648164749, 0.3873993456363678, -0.08201363682746887, -0.4358556866645813, 1.0201857089996338, -0.5196785926818848, -0.02983396127820015, -0.9162964224815369, -0.3133586347103119, 1.0240260362625122, -1.315069556236267, 0.2921852171421051, -0.6234663128852844, -1.2671451568603516, 0.9645735621452332, -0.9460629224777222, -0.12205220013856888, -1.2090809345245361, 0.42936238646507263, -2.5295026302337646, 0.6300280690193176, 1.706030249595642, 0.804417610168457, 0.049229174852371216, 0.06901538372039795, -1.0358781814575195, 0.5500311851501465, 0.4830915033817291, -0.7308124303817749, 0.19867144525051117, -1.1653883457183838, 0.13463793694972992, 0.8187350630760193, -0.7176079750061035, 1.6520366668701172, -1.9239118099212646, 0.42942771315574646, 0.0637299120426178, -0.02832489274442196, 0.40440717339515686, -1.0774139165878296, 0.23004873096942902, -0.5748607516288757, 0.24159248173236847, 0.559471845626831, -0.3004039227962494, 0.20154738426208496, 0.31212174892425537, -0.5180749297142029, 0.6719514727592468, -0.02918696589767933, 1.8462077379226685, 0.7565739154815674, 0.3086412847042084, -0.219503715634346, -0.19071446359157562, -1.0805505514144897, 0.5001944303512573, -6.295313358306885, -0.14629338681697845, 0.3963260054588318, -0.06382320076227188, 0.34859055280685425, -0.8703677654266357, 0.1827661395072937, -1.002972960472107, 0.19529899954795837, 1.304389238357544, 1.5092965364456177, 0.8836910128593445, -0.268240749835968, -0.5677370429039001, -0.5615399479866028, 0.2896689474582672, -0.3061355948448181, 0.9912868738174438, 0.09317513555288315, 0.27733105421066284, 0.05345633253455162, -0.3603770136833191, -0.6136248111724854, -0.9269360303878784, 2.769495725631714, -0.6200879812240601, 0.01552659459412098, -0.14856666326522827, -0.9284965991973877, 0.3276557922363281, -1.5710259675979614, 0.7196680903434753, -0.9403241872787476, 0.33901119232177734, -2.327500581741333, -0.8792211413383484, 0.2540466785430908, 0.29017746448516846, 0.817781925201416, -0.4132806062698364, 0.37691545486450195, -1.0506151914596558, -0.6633477807044983, -0.5339805483818054, 0.08004721254110336, 0.6301211714744568, 0.8099851608276367, 0.3157729506492615, -0.6128265857696533, 0.10061569511890411, -0.6166934370994568, 0.8715550303459167, 0.15085530281066895, 0.02106575481593609, -0.33034956455230713, 0.25631773471832275, -0.4129556715488434, 0.11161626130342484, 0.013905998319387436, -0.5150852799415588, 0.6861144304275513, -1.7762210369110107, 0.7838407158851624, 0.40204712748527527, 0.2654995918273926, 0.29320842027664185, 0.7592788338661194, -0.4917275905609131, -0.8774501085281372, -0.5705779790878296, -2.341887950897217, -0.8081397414207458, -0.5122714638710022, -1.0758718252182007, -0.34914636611938477, 0.16937102377414703, 0.3682897388935089, 0.9994453191757202, 0.7222002744674683, -0.2067454308271408, -1.245322585105896, -0.04726409539580345, -0.7697051167488098, -0.4204753339290619, -1.423471450805664, 0.18019501864910126, 0.29118502140045166, 1.5099287033081055, -0.7932038903236389, -0.6011850833892822, 0.9290801882743835, 0.4586954712867737, -0.11207453906536102, -0.15893293917179108, -0.4300786256790161, 0.3088493347167969, -0.15100020170211792, -0.66511070728302, -0.11062993854284286, -0.0573650561273098, -0.5183650255203247, -0.07780250906944275, 0.4829917848110199, 0.2671160101890564, 0.23973794281482697, -0.15381155908107758, -0.05472308024764061, 0.3014715015888214, -0.3842240869998932, 0.5672804117202759, -0.8833626508712769, -0.0845264345407486, -0.12998230755329132, -0.8961377143859863, 0.6873813271522522, 0.45892560482025146, -1.2114496231079102, 0.7054041028022766, 0.11951668560504913, -0.36044955253601074, -0.6942048072814941, -0.348689466714859, 0.35293668508529663, -0.6198627352714539, 0.4216324985027313, 0.12433870881795883, -0.8979566693305969, 0.5169793367385864, 0.9770864844322205, 0.22421401739120483, 1.0574994087219238, 0.1417934000492096, -1.161737322807312, -0.25610506534576416, -0.7837725281715393, -0.9149182438850403, 0.2130347490310669, -0.782299816608429, 0.10401500761508942, -0.5833050608634949, 0.30026647448539734, -0.617200493812561, -0.07570713013410568, -0.6895564198493958, 0.030130188912153244, -0.18426662683486938, 0.58590167760849, -0.6361498832702637, 0.7211898565292358, 0.4568991959095001, -0.2120007425546646, 0.35737109184265137, 0.6408142447471619, -0.60088711977005, -1.200454831123352, -0.12600073218345642, 0.035820793360471725, -1.1091508865356445, -1.1008121967315674, -0.19755662977695465, -0.23475296795368195, -0.5821552276611328, 0.9435593485832214, 0.4651058316230774, 1.3973489999771118, -0.5852476954460144, 0.12117978185415268, 0.4740790128707886, 0.3689946234226227, 0.12240400165319443, 0.2934408187866211, -0.2283189594745636, 1.2865447998046875, 0.34573161602020264, 1.0105581283569336, 0.5220067501068115, -1.6383689641952515, 0.46165040135383606, 0.5720924139022827, -1.6001131534576416, 1.193211317062378, 0.6703780889511108, 0.00239759124815464, -0.21216826140880585, 1.3880019187927246, 1.8370640277862549, 0.4587606191635132, -1.4360346794128418, 0.33624064922332764, 0.8577194809913635, -0.9383044838905334, 0.5192041397094727, -0.2639272212982178, -0.08635567873716354, -0.4368284344673157, 0.8852347135543823, -0.1849718540906906, 0.22942616045475006, -0.16131964325904846, 0.15976080298423767, 0.516119658946991, -0.19478638470172882, -0.5268218517303467, -0.41856738924980164, -0.27807551622390747, -0.3238982856273651, -1.1353859901428223, 0.3831328749656677, 0.4143638014793396, -0.6281333565711975, 0.3065667152404785, -0.9647576212882996 ]
103
0704.0105
Michael Entov
Michael Entov and Leonid Polterovich
Rigid subsets of symplectic manifolds
Significant corrections and changes in the part on monotone Lagrangian submanifolds; a comment on the relation between Futaki invariant and mixed action-Maslov homomorphism added
null
10.1112/S0010437X0900400X
null
math.SG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that there is an hierarchy of intersection rigidity properties of sets in a closed symplectic manifold: some sets cannot be displaced by symplectomorphisms from more sets than the others. We also find new examples of rigidity of intersections involving, in particular, specific fibers of moment maps of Hamiltonian torus actions, monotone Lagrangian submanifolds (following the works of P.Albers and P.Biran-O.Cornea), as well as certain, possibly singular, sets defined in terms of Poisson-commutative subalgebras of smooth functions. In addition, we get some geometric obstructions to semi-simplicity of the quantum homology of symplectic manifolds. The proofs are based on the Floer-theoretical machinery of partial symplectic quasi-states.
[ { "created": "Sun, 1 Apr 2007 19:57:30 GMT", "version": "v1" }, { "created": "Sun, 26 Oct 2008 06:58:31 GMT", "version": "v2" } ]
2014-01-14
[ [ "Entov", "Michael", "" ], [ "Polterovich", "Leonid", "" ] ]
07
[ 0.880616307258606, -0.2020488679409027, -0.39842039346694946, 0.2712651491165161, 0.7747687101364136, 1.0229703187942505, 0.6636047959327698, -0.980468213558197, -1.11465585231781, 0.6734157800674438, 0.9292692542076111, 0.7760370373725891, 0.4850129187107086, -0.013250693678855896, -0.3822525441646576, -0.973106861114502, 0.382559597492218, 0.894177258014679, -1.243162989616394, 0.0017731833504512906, -0.2397729456424713, -0.14770559966564178, -0.8538544178009033, -1.5716123580932617, -0.4192175269126892, -0.37710273265838623, -0.9660833477973938, -0.029614504426717758, -0.4165095090866089, -0.2413744330406189, -0.6925255656242371, 0.3143361508846283, -1.2962758541107178, -0.2469528764486313, 0.6798679828643799, -0.3230118155479431, -0.832037091255188, -0.1428709179162979, -0.7977167963981628, -0.46092313528060913, -0.4896455407142639, 1.7112189531326294, -0.61610347032547, -0.11310908198356628, -0.08240752667188644, -1.0657367706298828, 0.5110718011856079, -0.025094855576753616, -0.5788745284080505, 1.2451690435409546, -1.4617888927459717, 0.6265811324119568, 0.5750794410705566, -0.5332427024841309, 0.9560597538948059, 0.9031917452812195, -0.22105686366558075, -0.6231035590171814, -0.882879376411438, -1.4036744832992554, -0.9216627478599548, 0.04238220676779747, 0.6737725734710693, 0.6280215978622437, -0.9657416939735413, 0.28209301829338074, -0.14874672889709473, 2.062828779220581, 0.9911839365959167, 0.8534314632415771, 0.9182087182998657, -0.7442139983177185, -2.120020627975464, -1.026758074760437, 1.7822188138961792, -0.038658399134874344, 0.6821513175964355, -0.9817657470703125, 0.4247153401374817, -1.1910442113876343, 1.5175201892852783, -0.23510204255580902, -0.42432940006256104, 0.7805542349815369, 0.5000718832015991, 0.8141160607337952, 0.9652622938156128, 0.5577312707901001, -0.503383994102478, 1.91127610206604, 0.2512209117412567, -0.2078484445810318, 0.9014343023300171, 0.5179275870323181, -0.5727153420448303, -0.8239707350730896, 0.9588508605957031, -0.036265209317207336, -0.9923366904258728, -0.5500627756118774, 0.07919086515903473, 0.17290428280830383, 0.05039723217487335, 0.4472266733646393, -0.46914610266685486, 0.08443522453308105, 2.0481622219085693, -0.13236576318740845, 0.6569877862930298, -0.361198365688324, -0.3946950435638428, -0.6790729761123657, -0.11285573989152908, 0.32932886481285095, -0.8838860392570496, 0.6719409823417664, -0.3788595199584961, -0.26331308484077454, -0.8344935774803162, -0.8082206845283508, 0.6143908500671387, -0.26372474431991577, 1.3801263570785522, 1.271639347076416, -0.12860317528247833, 0.30383291840553284, -0.8254044055938721, 0.20805615186691284, 0.1953095644712448, -0.10606063902378082, 0.6056297421455383, 0.9794179797172546, -0.5484461188316345, -1.600427269935608, -0.7877172231674194, 0.19704356789588928, 0.0965658500790596, 0.9725220203399658, 1.0072758197784424, -0.09348934888839722, -0.48885926604270935, 0.025121258571743965, -0.01847468502819538, 0.18587957322597504, 1.7545570135116577, -0.36420318484306335, 0.38729748129844666, 0.0645347535610199, 0.17549026012420654, -0.11931470781564713, 0.46724236011505127, -0.13277041912078857, 0.5637214779853821, 0.4662930369377136, -1.8801347017288208, -0.9041061401367188, 0.9802280068397522, 0.5091930627822876, -0.8857998847961426, 0.7784736156463623, -0.7989948987960815, -0.8535493612289429, 0.9216574430465698, -0.21685975790023804, -0.4009014666080475, -0.1614765226840973, -0.36759233474731445, -0.8687567710876465, 0.15562039613723755, 0.3575689196586609, -1.0584310293197632, 0.5313263535499573, 0.6703361868858337, 0.9970088601112366, 1.1933567523956299, -0.07882373780012131, 1.173411250114441, 0.9837769269943237, -0.0809171050786972, 0.8645069003105164, -0.6328232884407043, -0.23696576058864594, -0.5061155557632446, 1.1992979049682617, -0.27721285820007324, -0.6943639516830444, -0.36329469084739685, -0.10021670162677765, -0.7198888063430786, 0.755897581577301, -0.33355292677879333, -0.9818242192268372, -1.0132036209106445, 0.2248796820640564, -0.13118577003479004, -0.6122859120368958, 0.17659364640712738, -0.9453758597373962, -0.16767096519470215, -0.8373495936393738, 0.1709393560886383, -0.23614925146102905, -1.6545366048812866, 0.11593460291624069, -1.0288177728652954, 0.9937037229537964, -0.2654728293418884, 0.6844050884246826, 0.7476662993431091, -0.8330754637718201, 0.7017467021942139, -0.4787902534008026, 0.26167216897010803, 0.13181573152542114, 0.24891197681427002, 1.2489296197891235, -0.7211547493934631, -0.8029516339302063, -0.06300661712884903, 0.19275999069213867, -1.0961792469024658, 0.35093581676483154, -0.540540337562561, 0.05430604889988899, 0.44007569551467896, 0.93255215883255, 0.4338991045951843, 0.18082267045974731, 0.015146296471357346, -0.5751718878746033, -0.014468016102910042, -0.06700824201107025, -0.4191119968891144, 0.47957873344421387, -0.006006720941513777, -0.4555891752243042, -0.8088220953941345, -0.6726461052894592, 0.4020514190196991, 1.7974096536636353, -1.2618861198425293, -0.3544381260871887, -0.3549226224422455, -0.4414701759815216, -1.050889492034912, 0.1899290233850479, 0.44820138812065125, -0.4900849163532257, -1.287630319595337, 0.23419392108917236, -0.2259184569120407, 0.17315776646137238, -0.6965934634208679, -0.2409941405057907, -0.6644805669784546, -0.060084644705057144, -0.6709817051887512, -0.611208438873291, -1.4909089803695679, -0.6573967337608337, -1.272477149963379, -0.5910637378692627, 0.05048159882426262, -0.05573941394686699, 0.4308648705482483, -1.2022823095321655, -0.03732093423604965, -0.370309054851532, -1.1377222537994385, 0.23156529664993286, 0.37982377409935, 1.0596497058868408, 0.049447331577539444, 0.23795560002326965, 0.7479403614997864, 0.24740634858608246, -0.3447621166706085, -0.08714855462312698, -0.09834963083267212, -0.19919955730438232, -0.43023964762687683, 1.4898091554641724, 0.14200031757354736, -0.13973616063594818, -0.6603007912635803, -0.091400645673275, -0.1657402217388153, -1.32364022731781, 1.312411904335022, 0.5612071752548218, -0.16498322784900665, -0.8818268775939941, -0.8686420321464539, 1.279821515083313, -1.7337334156036377, -0.11160686612129211, -0.7878882884979248, 0.4065019190311432, -0.7248769402503967, 0.0865073874592781, -0.3424220681190491, -0.7537321448326111, -1.093247413635254, 0.7192136645317078, 0.8038341999053955, -0.5819128155708313, 0.11156795918941498, 1.34500253200531, -0.6424510478973389, 0.17494690418243408, -0.6269786953926086, -0.327629417181015, 0.4691329300403595, -0.6101090908050537, 0.6096625328063965, 1.7894859313964844, 0.45691001415252686, -0.7254262566566467, 0.5665113925933838, -1.421639084815979, -0.15674713253974915, 0.03639069199562073, 1.6949676275253296, -1.6280466318130493, 0.5043672323226929, -0.5934006571769714, 0.24232585728168488, -0.031297143548727036, -0.26286205649375916, 0.7098636031150818, -0.3592146337032318, -1.0827308893203735, 0.24762287735939026, -1.000524878501892, -1.1190872192382812, -1.7869179248809814, -0.3041350245475769, -0.6510800123214722, 0.004917370621114969, 0.275134801864624, -0.4135630428791046, -0.06298577785491943, 0.345414400100708, -0.8406587243080139, -0.25333818793296814, 0.35184329748153687, 0.21847955882549286, 0.26279088854789734, 0.00396004831418395, 1.3225823640823364, -0.03706551343202591, -0.19266149401664734, -0.9384987950325012, 0.8457282781600952, 0.19107170403003693, 0.22619250416755676, 0.10890044271945953, 0.15743131935596466, 0.8854625225067139, 0.5158025026321411, 0.8088836073875427, 0.17043916881084442, 0.4922506809234619, 0.6515719294548035, -0.3987867832183838, 1.3793905973434448, 0.1358627825975418, 0.8142974972724915, -0.16122475266456604, 0.8507294058799744, -0.7365149259567261, 0.2311970293521881, -0.41142556071281433, 0.03759570047259331, -1.3422205448150635, -1.6368058919906616, -0.05912197008728981, -0.19834484159946442, 1.645103096961975, 0.3952138125896454, 0.43983548879623413, 1.260923147201538, 0.23106104135513306, 0.9111298322677612, 0.9826909303665161, -0.3878500163555145, -0.08762617409229279, 0.3438817262649536, 1.5144906044006348, -0.3755945563316345, 0.8818945288658142, 0.07568419724702835, 0.21571524441242218, 1.3322229385375977, -0.6642189025878906, 0.44537654519081116, 0.5925231575965881, -0.8627356886863708, 0.8906999826431274, 0.5925859808921814, 0.37031319737434387, 0.16414321959018707, 0.2573641538619995, -0.01674925535917282, -0.6538477540016174, 0.6277087330818176, -0.5468460917472839, 0.1835048943758011, -0.6212448477745056, -0.6336269378662109, 0.8066205978393555, 0.5380755662918091, -1.218234896659851, -0.24810345470905304, 0.972055971622467, -0.6796575784683228, 0.3094901442527771, 1.061532735824585, 0.8393375873565674, -0.8513777852058411, -0.5112266540527344, 1.0259897708892822, 0.5054444670677185, 0.9366519451141357, 0.9350359439849854, 0.831927478313446, 1.0904790163040161, 0.16669230163097382, -0.8976659774780273, -0.11770163476467133, 0.3488820493221283, 0.15900906920433044, -0.3548920154571533, 0.5131100416183472, -0.5513902306556702, 0.3724215626716614, -0.4432680010795593, 0.19524888694286346, -0.7764562368392944, -1.1139529943466187, -0.09451902657747269, 1.4649856090545654, -0.1819252371788025, 0.6913495659828186, 0.6726877689361572, -1.36373770236969, -0.8701795339584351, 0.49576231837272644, -0.34589362144470215, -0.21208138763904572, -0.30099350214004517, 0.13909912109375, 0.6144979596138, -0.19929002225399017, -0.06907221674919128, 0.6995828151702881, 0.5860603451728821, 0.1890619695186615, -0.12119867652654648, -0.4331052303314209, -1.8123842477798462, -0.34211423993110657, 0.27144306898117065, -2.198383331298828, 0.2194751799106598, -0.5809502005577087, 0.24115927517414093, -0.030422059819102287, -0.16653697192668915, 1.6473079919815063, 0.30930981040000916, -1.217454433441162, -0.2674241364002228, 0.09322984516620636, -0.8863241076469421, -0.44163841009140015, -1.3935904502868652, 0.7645665407180786, -0.8070669770240784, -0.09963620454072952, 1.920866847038269, -1.1104921102523804, -0.5305567383766174, -0.699723482131958, 0.14830204844474792, -0.059807948768138885, 0.37553074955940247, -0.5447008609771729, -0.5519022941589355, 0.9319496750831604, 0.08415620774030685, 0.4207487106323242, -1.6804900169372559, 0.8714701533317566, -1.0260365009307861, 1.0635885000228882, -0.679351806640625, -0.516045093536377, -0.2733191251754761, -0.2241186946630478, -0.7441033124923706, 0.4670030474662781, 0.7709120512008667, -0.15812408924102783, -0.7070120573043823, -0.2050856649875641, 0.514939546585083, 0.4136609137058258, 0.411435604095459, 1.3443865776062012, -0.27331119775772095, -0.349060595035553, 0.6094514727592468, -0.6075981259346008, 0.39976754784584045, 0.11568040400743484, -0.14951448142528534, -2.4851646423339844, -0.2079809010028839, 1.43925142288208, -0.24000151455402374, -0.8149235248565674, -0.26725679636001587, 0.08034755289554596, 0.3112366199493408, 0.23515424132347107, -0.7961671352386475, -0.8295022249221802, 0.1542813777923584, 0.659930408000946, 0.7347813248634338, 0.6322035789489746, -1.012673020362854, 0.1106325164437294, -1.3103392124176025, -1.251541018486023, -1.014577031135559, 0.21014343202114105, -0.5632925033569336, 0.4592801630496979, -1.7154667377471924, -0.8652852773666382, 1.3837010860443115, -0.7009686827659607, 0.876579225063324, 0.14967428147792816, 0.26467129588127136, -0.4191211462020874, -0.8064565658569336, 0.7920637130737305, 0.7282330393791199, -0.2999280095100403, 0.08603709936141968, 0.24801243841648102, -1.727353811264038, -0.6064310669898987, -6.499199390411377, -0.28836148977279663, -0.2183254063129425, 0.16502761840820312, -0.25874316692352295, 0.27098894119262695, 0.5399088859558105, -0.5935116410255432, 0.22032451629638672, 0.08426959812641144, 0.7675470113754272, 0.5240426063537598, -0.09330501407384872, -0.2564777731895447, -0.5006415247917175, 0.34714093804359436, 0.003541224170476198, -0.29645639657974243, -0.5551658868789673, -0.07305940240621567, -0.4305186867713928, 0.6862449645996094, -0.45822617411613464, -0.07980015128850937, 1.5084370374679565, -1.4408148527145386, -0.04494309052824974, 0.47363266348838806, -0.09764967113733292, -0.057370077818632126, -1.5341967344284058, -0.2962828576564789, 0.3087497353553772, -0.5312805771827698, -1.4308449029922485, 0.07272275537252426, -0.701116681098938, 0.12793900072574615, -0.8595953583717346, -0.025471394881606102, -0.6456053853034973, -1.141703486442566, -1.002776861190796, -1.1756435632705688, -0.8060891628265381, -0.7662028670310974, 0.2474079132080078, 1.3317561149597168, -0.03936251252889633, -0.12856735289096832, -1.2551201581954956, 0.16581487655639648, -0.4703572988510132, -0.18407490849494934, 0.6903959512710571, 0.39525774121284485, -0.1628505438566208, -0.14152176678180695, 0.7048383951187134, 0.37222447991371155, 0.18640044331550598, 0.288928359746933, 0.31716182827949524, 0.5680074691772461, -0.014105557464063168, 0.3746259808540344, -0.7498242855072021, 0.8725430965423584, 0.2156934291124344, 0.8665735125541687, -1.5741080045700073, -1.0753041505813599, 0.17085693776607513, -0.8231508731842041, 0.1695830523967743, -0.9967910051345825, -0.5796917080879211, 0.684849739074707, -0.8738021850585938, -0.5798777341842651, -0.37831154465675354, 0.1949174702167511, -0.026829134672880173, -1.0941359996795654, -0.5012279152870178, 0.4591740667819977, 1.127561330795288, -0.490131139755249, 1.0164148807525635, -0.6310791969299316, -0.5749189853668213, 0.9672809839248657, -0.8681572079658508, -0.021406253799796104, -0.4046759009361267, 0.045417096465826035, 1.4547492265701294, -0.9393532872200012, 0.4304385781288147, 0.5108016729354858, -0.9196471571922302, 0.7051541805267334, 0.25945448875427246, 0.2738707363605499, 0.15947231650352478, 1.12511146068573, -0.4502330422401428, 0.5278832316398621, 0.4570251703262329, 0.2994745373725891, -1.8334221839904785, 0.2053428739309311, 0.2375124841928482, -0.13689835369586945, 0.7540141940116882, 0.7542952299118042, 0.16706761717796326, 0.6583849191665649, 0.16474059224128723, -0.04888387769460678, 0.18474224209785461, -1.1058605909347534, -0.23323562741279602, 0.580829918384552, 0.38438183069229126, -0.8106151819229126, -0.7883068323135376, -0.17250525951385498, 0.29483240842819214, -0.7593507170677185, 1.1464725732803345, -0.1311863362789154, -0.9832322001457214, 0.21557891368865967, -0.44880732893943787, -0.68255215883255, 0.16323909163475037, -0.41017937660217285, 0.7377864122390747, -0.4812597334384918, 0.7864968776702881, 0.1519223302602768, 0.1333349049091339, 1.4719792604446411, -0.0663139596581459, 0.07336615771055222, -2.280212640762329, 0.19131314754486084, 0.7720290422439575, -0.4323762357234955, -0.32324257493019104, -1.1094902753829956, 0.2646251916885376, 0.2789740264415741, -0.5084235072135925, 0.5635225772857666, 0.9576854109764099, -0.5707706809043884, -1.5346863269805908, -0.8455938696861267, 0.15169678628444672, -1.4040718078613281, 0.5850856900215149, 0.5932339429855347, 0.8722797632217407, -1.035447120666504, 0.011400044895708561, -0.1539430171251297, -0.4180513322353363, -0.507114589214325, 0.6550465822219849, 0.6763351559638977, 0.3847101628780365, 0.1271417737007141, 0.0606551393866539, 0.940243661403656, -0.6891869902610779, -0.7013292908668518, -0.3320404291152954, -1.6020333766937256, 0.6173427700996399, -0.5515005588531494, 0.4474315345287323, 0.2327742874622345, -0.3203776180744171, 0.8242986798286438, -0.15231113135814667, 0.9909048676490784, 0.05502410978078842, 1.0984314680099487, 0.39401644468307495, -0.3826620578765869, -0.7062773704528809, -0.7967472672462463, -0.884311854839325, 1.5146290063858032, -0.04098997637629509, -0.1995091438293457, 0.9041044116020203, -0.15495014190673828, 0.24830132722854614, -0.28046298027038574, -0.7450617551803589, -0.5158294439315796, 0.1698954701423645, -0.5865074992179871, -1.0329821109771729, 0.24494796991348267, 0.8071452379226685, -0.6984825730323792, 0.23031972348690033, -0.34513425827026367 ]
104
0704.0106
Xin-Nian Wang
Andreas Schafer, Xin-Nian Wang and Ben-Wei Zhang
Multiple Parton Scattering in Nuclei: Quark-quark Scattering
49 pages in elsart style and 16 figures. Two sentences added, final version appeared in Nucl. Phys. A
Nucl.Phys.A793:128-170,2007
10.1016/j.nuclphysa.2007.06.009
null
hep-ph nucl-th
null
Modifications to quark and antiquark fragmentation functions due to quark-quark (antiquark) double scattering in nuclear medium are studied systematically up to order \cal{O}(\alpha_{s}^2)$ in deeply inelastic scattering (DIS) off nuclear targets. At the order $\cal{O}(\alpha_s^2)$, twist-four contributions from quark-quark (antiquark) rescattering also exhibit the Landau-Pomeranchuck-Midgal (LPM) interference feature similar to gluon bremsstrahlung induced by multiple parton scattering. Compared to quark-gluon scattering, the modification, which is dominated by $t$-channel quark-quark (antiquark) scattering, is only smaller by a factor of $C_F/C_A=4/9$ times the ratio of quark and gluon distributions in the medium. Such a modification is not negligible for realistic kinematics and finite medium size. The modifications to quark (antiquark) fragmentation functions from quark-antiquark annihilation processes are shown to be determined by the antiquark (quark) distribution density in the medium. The asymmetry in quark and antiquark distributions in nuclei will lead to different modifications of quark and antiquark fragmentation functions inside a nucleus, which qualitatively explains the experimentally observed flavor dependence of the leading hadron suppression in semi-inclusive DIS off nuclear targets. The quark-antiquark annihilation processes also mix quark and gluon fragmentation functions in the large fractional momentum region, leading to a flavor dependence of jet quenching in heavy-ion collisions.
[ { "created": "Sun, 1 Apr 2007 21:10:09 GMT", "version": "v1" }, { "created": "Fri, 9 Nov 2007 12:13:16 GMT", "version": "v2" } ]
2008-11-26
[ [ "Schafer", "Andreas", "" ], [ "Wang", "Xin-Nian", "" ], [ "Zhang", "Ben-Wei", "" ] ]
07
[ -0.6262893676757812, -0.10105621069669724, -0.5307493805885315, -1.310825228691101, -1.6362918615341187, 0.1746882200241089, 0.18103668093681335, -1.037993311882019, -0.5408878326416016, -0.49821940064430237, -1.1787773370742798, 0.6759772896766663, -0.2945457398891449, -0.08681311458349228, 0.5023323893547058, -0.42923101782798767, -0.01025522779673338, -0.28720560669898987, -0.1603810042142868, -0.09840399026870728, 1.0440691709518433, -0.08628534525632858, -0.5857363343238831, -1.090325117111206, -0.2773519456386566, 1.3109005689620972, 0.25754132866859436, 0.6054766774177551, -0.6368449330329895, 0.9237138032913208, 0.3051992952823639, 0.45680567622184753, -0.03933354839682579, 0.07000415027141571, 0.49344557523727417, 0.45504334568977356, 1.9036662578582764, -1.106188178062439, -1.0022691488265991, 0.6477678418159485, 0.6901379823684692, 1.3157507181167603, 0.0005714357830584049, 1.2895667552947998, 0.43171364068984985, 0.2152555286884308, -0.24625542759895325, -0.5346069931983948, 0.27715861797332764, 0.5337247252464294, -0.05300073325634003, -0.19997148215770721, 0.2982255518436432, 1.92206871509552, -0.2144843339920044, -0.8087198734283447, 0.5350404977798462, 1.3486120700836182, 0.05460043624043465, -0.8276336193084717, 0.15017738938331604, -1.4023891687393188, -0.3533054292201996, -1.3024250268936157, -0.28226572275161743, -1.502296805381775, 0.5574504137039185, 0.0639101192355156, 0.20693586766719818, 0.0000387449144909624, -0.6933495402336121, 0.23877397179603577, -0.6073967218399048, -0.3053911626338959, -1.7491834163665771, 0.7353515028953552, -0.6993563175201416, -0.8386130332946777, 0.26382413506507874, 1.123701572418213, 0.35274842381477356, -0.6081571578979492, -1.147354006767273, -1.5644440650939941, -0.11147544533014297, -0.7146081924438477, -0.5718365907669067, -0.2434057891368866, -1.7940205335617065, 0.5520744323730469, 1.0707390308380127, -1.8222945928573608, -0.3313060998916626, -1.142386555671692, -2.352668523788452, 0.39566484093666077, 0.2403615266084671, -0.6767405271530151, 1.091288685798645, -0.9685999155044556, -0.3290325701236725, -1.5551353693008423, 0.09187503159046173, -0.3084667921066284, -0.0849740132689476, 0.19532854855060577, -1.0879791975021362, -1.145019769668579, -0.35683712363243103, 0.04601448029279709, -0.007499393541365862, -0.3062293231487274, -0.5161730647087097, -0.5938242077827454, -0.48454058170318604, -0.9137886762619019, -0.1787509173154831, 0.9074189066886902, 0.005866418592631817, 0.05853074789047241, -0.6530508399009705, -0.1030544638633728, -1.6712870597839355, 0.9332969784736633, -0.005856452509760857, -0.5393131971359253, 0.6504399180412292, 0.12297624349594116, -0.1491183489561081, 0.33856186270713806, 0.47419077157974243, 0.9742752909660339, -0.04294279217720032, 1.980750322341919, -0.7344287037849426, 0.3178417384624481, -1.5768359899520874, 0.3517798185348511, 0.7134509682655334, -0.8417238593101501, -0.15730971097946167, -0.9186820387840271, 0.563974916934967, -0.8343298435211182, -1.013583779335022, 0.24621906876564026, -0.031138036400079727, -0.7060757279396057, 0.7017402052879333, 0.13141964375972748, 0.16098739206790924, -0.9144837856292725, 0.16235476732254028, -0.36614418029785156, -0.02746795117855072, -1.2702674865722656, 0.3581569790840149, 1.2203034162521362, 0.2520563006401062, 0.1850968897342682, 1.8460325002670288, 0.7651495337486267, 2.6617791652679443, -0.49884527921676636, -1.346070408821106, -1.2790647745132446, 0.7916796207427979, 1.3507591485977173, -1.5156872272491455, 0.3880874812602997, -0.6657512187957764, 0.07661367207765579, 0.1648772805929184, -1.4047073125839233, -1.8096872568130493, 0.15233606100082397, 0.36154550313949585, -0.010902800597250462, 1.1735886335372925, -0.6176700592041016, 0.9733445644378662, -1.346659541130066, -0.4836084544658661, -1.0698394775390625, -0.24417008459568024, 1.0452135801315308, 0.5703033804893494, 0.021985776722431183, -0.6218204498291016, -0.1031656563282013, 0.22709771990776062, -0.4331119954586029, -1.7727758884429932, 1.0233243703842163, -0.16479215025901794, 0.4972178637981415, -0.7849941253662109, 0.5136786103248596, -0.1748332530260086, 0.411628395318985, -0.08593429625034332, 0.025558752939105034, 0.37669605016708374, -0.645427405834198, 0.11777298152446747, 0.4016716778278351, -0.20834806561470032, -0.15953026711940765, -0.05729662999510765, -0.12525729835033417, -0.16819368302822113, -0.634536862373352, 0.9894934296607971, 0.5291182994842529, 2.0885815620422363, -0.11687535792589188, -0.6222324371337891, -0.9529905319213867, -0.13222680985927582, -0.49428728222846985, -0.2815180718898773, 0.3066934645175934, -0.6694331765174866, 0.3706569969654083, 1.1112138032913208, 1.186133623123169, 0.2532711327075958, 0.5718262791633606, 0.8021365404129028, 0.22135032713413239, 0.971469521522522, 0.5942633152008057, -1.049095630645752, 0.14091891050338745, 2.917598247528076, -0.05898834392428398, -0.4034287631511688, 0.3326337933540344, -1.1889324188232422, 0.08941593766212463, 1.1616567373275757, -1.2655880451202393, -0.8582108020782471, 0.08903364837169647, -0.9437307119369507, 0.039017610251903534, -0.21151745319366455, 0.026528775691986084, -0.4243221580982208, 0.053245872259140015, -0.10087534040212631, -0.0959387794137001, 0.6184982657432556, -0.08680390566587448, -0.6408748626708984, -0.12228388339281082, -0.022569486871361732, -0.3645077049732208, 0.48848167061805725, -0.33263063430786133, -0.17821049690246582, 0.14099760353565216, 0.0256014596670866, 0.657442569732666, 0.021064918488264084, 0.17685480415821075, -0.9754288792610168, -0.6512446999549866, 0.10365376621484756, -0.7810081243515015, 0.7457284927368164, -0.8878122568130493, 0.8900370597839355, -1.4440834522247314, 0.891687273979187, 0.737781822681427, 1.067944049835205, -0.27813348174095154, 0.2528637945652008, 0.010750820860266685, -1.148756742477417, 0.19264839589595795, 0.10206038504838943, 0.5164350271224976, -1.352816104888916, -0.19426225125789642, 1.0755714178085327, -0.2974068820476532, 1.7243605852127075, 0.7906528115272522, -0.3589826226234436, 0.6936426162719727, 0.7698111534118652, -1.558327078819275, 0.8852651119232178, -0.6334972977638245, 0.44060295820236206, -0.4804113209247589, -0.3107244372367859, -0.5226839780807495, 0.3647589683532715, -0.3982040584087372, -1.2908600568771362, 0.5456613302230835, 0.0773138552904129, -1.1315419673919678, 0.09457209706306458, 0.5263062119483948, 0.06507517397403717, -1.309035301208496, -0.33482086658477783, -1.4033159017562866, 0.7051945328712463, -0.37876227498054504, -0.01549598854035139, 1.314033031463623, 0.023686250671744347, 0.2538484036922455, -1.0590916872024536, -0.3974423110485077, -0.23600022494792938, -0.25242704153060913, -0.10716396570205688, -0.12974660098552704, -0.047370921820402145, -0.23055826127529144, 0.9985673427581787, -0.8584774136543274, -0.13858111202716827, 0.05672057345509529, -0.07358613610267639, -0.0655192881822586, 1.0003830194473267, -0.25116896629333496, 0.7507482767105103, -0.1968475878238678, -0.2938787341117859, 0.765154242515564, 0.6511422991752625, 0.20006096363067627, 0.25281697511672974, 0.8797428011894226, -0.29095661640167236, 0.995245099067688, -1.3918209075927734, -0.08679287880659103, -0.335109680891037, 0.0989966094493866, 0.10171570628881454, 0.4218851923942566, 0.02390046790242195, 0.08228418976068497, 1.1770708560943604, -0.7966631650924683, 0.31032437086105347, 0.2103491574525833, 0.15616491436958313, -0.6517263054847717, -0.8230016827583313, 0.4260573089122772, -0.03817936033010483, 0.1429869532585144, -0.8674301505088806, 0.32008805871009827, -0.6310363411903381, 0.33089953660964966, -0.5164337158203125, -0.010362550616264343, -0.7538058161735535, 0.7986201047897339, -0.8459007740020752, -0.056174613535404205, -0.8973004817962646, 1.0678857564926147, 0.25105059146881104, -1.2246333360671997, 0.9545902013778687, 0.5452920198440552, -1.1518539190292358, -0.5875046849250793, -0.44107016921043396, 0.09670918434858322, -0.9592745900154114, 1.5922571420669556, -0.5027914047241211, 0.18782901763916016, -0.686551034450531, 0.7586712837219238, -0.5432950258255005, 0.0036618164740502834, -1.351824402809143, -0.6528432369232178, 0.1819881796836853, 0.3400690257549286, 0.5968348979949951, 0.27546292543411255, 0.10569804161787033, 1.8535054922103882, -1.6459839344024658, 0.22851215302944183, 0.04186306148767471, -0.58088618516922, 0.04247583448886871, -0.25835299491882324, 0.33222031593322754, -0.0683244839310646, 0.5644549131393433, 0.888776421546936, 0.0007413355051539838, 0.44279980659484863, 1.3278814554214478, 1.8364598751068115, -0.04216066375374794, 0.5200938582420349, -0.5077041387557983, -0.5955026149749756, 0.32241448760032654, -0.048196494579315186, -0.7271690964698792, -0.39609241485595703, 0.4023361802101135, -0.06231296807527542, -0.35784679651260376, 0.3341091275215149, 0.520900309085846, -0.05915164574980736, -0.0737084373831749, 0.49943575263023376, -0.48152852058410645, 0.1910688877105713, 0.12357080727815628, -0.3085455000400543, -0.6109203696250916, 0.04442962259054184, 1.0084304809570312, 1.6073893308639526, -0.058182522654533386, 0.561647355556488, -0.7115209102630615, 0.13292083144187927, 0.8513278961181641, 0.7162996530532837, -0.936649739742279, -0.019600098952651024, -0.5655105710029602, -0.8063098192214966, -0.5116101503372192, -0.7725648283958435, -0.6160492897033691, -0.27239957451820374, 0.05713968351483345, 1.2202942371368408, 0.8073610067367554, -0.30548879504203796, -0.5316280722618103, -1.9814553260803223, -0.5833869576454163, -0.0036469618789851665, -0.6087278127670288, -0.24950824677944183, 0.0141944270581007, -0.010465249419212341, -0.06934992223978043, -1.113097071647644, 0.39557674527168274, -0.9099906086921692, 1.0189670324325562, -1.151727557182312, -0.14966154098510742, -0.06602220982313156, 1.5152772665023804, -0.37139585614204407, 0.30179864168167114, 0.02867533080279827, -1.250429630279541, 0.6782106757164001, -0.9586489796638489, 1.0621905326843262, 0.41951507329940796, 0.08270438760519028, 0.4806502163410187, 0.8364932537078857, -0.18757875263690948, 1.2467788457870483, 0.726921558380127, 0.255496621131897, -1.0981773138046265, -0.1329449564218521, 0.7720608711242676, -0.17285585403442383, -0.23597052693367004, 0.6187099814414978, -0.5654069185256958, 1.269889235496521, 0.8817517161369324, -0.13178750872612, 0.5075012445449829, -0.40103796124458313, 0.2902141511440277, 0.3690294325351715, 0.17451530694961548, 0.09183251857757568, 0.642081618309021, 0.34667059779167175, -0.7712287902832031, -0.3306007981300354, -0.040391355752944946, 1.0293941497802734, -1.4167068004608154, -0.1712556928396225, 0.16885849833488464, 1.6602972745895386, -0.7731896042823792, -0.5667892694473267, 0.2978605031967163, -0.4285159111022949, 0.924268364906311, -2.8415656089782715, -0.9080573320388794, -1.4702833890914917, 0.4542125463485718, 0.7509137392044067, -0.7323511242866516, -0.08508999645709991, -0.1463359147310257, -0.2758774757385254, -1.13810133934021, 0.14256377518177032, -0.3588688373565674, 0.11738923192024231, -1.6731934547424316, 0.018728263676166534, -0.769310474395752, -0.32499024271965027, -0.840176522731781, -0.8287591338157654, -0.023820826783776283, -0.556018590927124, -0.014182335697114468, 0.13900668919086456, -0.6134539842605591, 0.08033178746700287, -0.0036152538377791643, -1.389604091644287, 0.05257055163383484, -0.6891852617263794, -0.3851274847984314, -0.47909674048423767, 0.9452401399612427, -0.6194391250610352, 0.06314307451248169, -0.2206658124923706, -1.334908366203308, -0.04878285154700279, 0.9245426058769226, -0.7233952879905701, -5.7589192390441895, 0.6278935670852661, 0.1291608214378357, -0.3400416672229767, -0.10812010616064072, 0.14504146575927734, -0.4273485541343689, -1.3738059997558594, 0.3280290961265564, 1.8035848140716553, 1.101829171180725, 0.340885192155838, -0.11198116838932037, 0.4464864134788513, -1.3268983364105225, 0.37876081466674805, 0.4221031963825226, -0.3036681115627289, 0.026696842163801193, -1.0006544589996338, 0.3238471746444702, 0.6776819229125977, -0.747392475605011, -0.5481637120246887, 0.004997532349079847, -0.27984926104545593, -0.13115045428276062, -1.0129287242889404, -0.8044406175613403, 1.0865962505340576, 0.8466519117355347, 0.9050828218460083, 0.5217509269714355, -0.38443171977996826, 0.14240168035030365, 0.2292826622724533, 0.025124385952949524, 0.9939369559288025, 0.8872743844985962, -0.10617537796497345, 0.6521125435829163, 0.20109699666500092, -0.47571584582328796, -0.9919449090957642, 0.2844478487968445, 0.6447119116783142, 0.481688916683197, -0.2599163353443146, 0.3019782602787018, 0.924028217792511, 0.32625508308410645, -1.7412714958190918, -0.18554267287254333, 0.5615787506103516, 1.4405306577682495, -0.9960322976112366, -0.5189605951309204, 0.44408223032951355, -1.614760398864746, -0.8167341947555542, 0.38551267981529236, -0.08028656244277954, -0.865606963634491, -0.8879464864730835, 0.07274531573057175, -1.5489798784255981, 0.7574011087417603, 0.3146686851978302, -0.27993133664131165, 1.0758439302444458, -0.3443925678730011, -0.5336395502090454, -0.5418530702590942, -0.764549195766449, 0.15316742658615112, 0.12055422365665436, -1.3754369020462036, -0.7679404616355896, 0.47240346670150757, 0.7232173681259155, 0.05839523300528526, 0.8757016658782959, -1.6545155048370361, -0.5976783633232117, -0.8247594833374023, -1.2938700914382935, 0.08409764617681503, -1.510331392288208, -0.436138778924942, 0.7756567597389221, -0.5533014535903931, -0.44832053780555725, 0.08950143307447433, 0.47277578711509705, 0.027752386406064034, -0.07184717059135437, 1.175693154335022, -0.379836767911911, -0.31005969643592834, 0.04092727228999138, -0.741975724697113, -0.14164212346076965, -0.1894858032464981, -0.6431582570075989, 0.8836407661437988, 0.0749572291970253, -0.5571507811546326, 0.5835803747177124, 0.006246290635317564, -0.07190972566604614, -0.08253555744886398, -1.0326522588729858, -0.3440181016921997, 0.019986694678664207, -0.3907621204853058, -0.118838831782341, -0.22583957016468048, -0.21277347207069397, 0.13838142156600952, -0.8666953444480896, -0.9138869643211365, 0.8045960068702698, -0.5677091479301453, -0.772287905216217, 0.4245198667049408, -0.09468977153301239, -0.17290140688419342, 0.11189468950033188, 0.033543962985277176, 0.4142834544181824, 0.5604662895202637, -1.0490707159042358, 1.2462877035140991, 1.0340648889541626, -0.5978031754493713, 0.3264876902103424, -0.5996414422988892, 0.1805843561887741, -0.22596189379692078, 1.929816722869873, 1.1922703981399536, 0.47852998971939087, 1.064227819442749, -0.7090396881103516, -0.1452401727437973, -0.7305868268013, 1.4860358238220215, -0.010023296810686588, 0.8925137519836426, -0.09474199265241623, 0.7203351259231567, 1.477917194366455, -0.4418624937534332, 2.0311102867126465, -0.04298393800854683, -0.10104694962501526, -0.18074838817119598, -1.4897093772888184, 0.217000812292099, 0.5469473004341125, -0.6415607929229736, 0.09628479182720184, 0.15753215551376343, 0.25280168652534485, 1.0594775676727295, -0.16152505576610565, -0.1874694675207138, 0.12427325546741486, 1.1293431520462036, 0.5272608399391174, 0.2569502592086792, -0.16576707363128662, 0.8267555236816406, 1.9881364107131958, -0.640022337436676, 0.8408242464065552, -0.7790305614471436, 1.438662052154541, -0.318041056394577, -0.9154379963874817, 0.041698768734931946, -1.5176607370376587, 0.7525742053985596, -0.11194267868995667, -0.529593288898468, -0.4569062888622284, 0.2448594570159912, 0.1226312518119812, -1.1823257207870483, 0.07640761882066727, -0.16890832781791687, 0.19987836480140686, -0.7726823687553406, -0.6785835027694702, -1.1391310691833496, -0.32203349471092224, -0.50006103515625, 1.1699936389923096, -0.018221445381641388, 0.973682165145874, 0.31734856963157654, 0.07277534902095795, 0.07912006974220276, 0.4327791929244995, 0.9739446640014648, -0.19086617231369019, 0.18339194357395172, 1.0089906454086304, -0.7894361615180969, -0.26547709107398987, -0.2707490026950836, -0.4144214987754822 ]
105
0704.0107
Igor Grabec
I. Grabec
Experimental modeling of physical laws
12 pages, 5 eps figures, uses svjour.cls
Eur. Phys. J. - B, 22, 129-135 (2001)
10.1007/PL00011130
null
physics.data-an
null
A physical law is represented by the probability distribution of a measured variable. The probability density is described by measured data using an estimator whose kernel is the instrument scattering function. The experimental information and data redundancy are defined in terms of information entropy. The model cost function, comprised of data redundancy and estimation error, is minimized by the creation-annihilation process.
[ { "created": "Sun, 1 Apr 2007 20:57:01 GMT", "version": "v1" } ]
2015-05-13
[ [ "Grabec", "I.", "" ] ]
07
[ 0.09481639415025711, 0.08634383231401443, -0.604393720626831, -0.7013540267944336, 0.05806860327720642, 0.3308306038379669, 0.7468316555023193, 1.4105459451675415, 0.21581532061100006, -0.2715662121772766, 0.21249359846115112, 0.11439729481935501, 0.4160095453262329, 0.4930882751941681, -1.9324017763137817, -0.6372859477996826, -0.2014887034893036, -0.6994619369506836, 0.49261534214019775, 0.5530336499214172, -0.10641884058713913, -0.7633950114250183, 0.6573075652122498, 0.4170110523700714, -0.14106322824954987, 0.6872657537460327, 0.003022816963493824, 0.8616383075714111, -0.5050994157791138, -0.2248704433441162, 0.4739941656589508, 0.729417622089386, -0.37653470039367676, 0.49558165669441223, 0.40239062905311584, 0.5339368581771851, 1.0985803604125977, -0.29482021927833557, -1.0926800966262817, -0.7874602675437927, -0.1125650554895401, -0.7801317572593689, 0.31601718068122864, 0.2938212454319, -0.004734579008072615, -0.20276843011379242, -0.0994318351149559, -0.11850104480981827, -0.6073622703552246, -0.480999231338501, -0.25987473130226135, -0.6696518659591675, 0.10832058638334274, 0.9583538770675659, 1.1989452838897705, 0.03407391160726547, 0.9475216865539551, -0.2704419791698456, -0.13168136775493622, -0.025496793910861015, -0.5181277990341187, -0.09763624519109726, 0.03879307582974434, -0.3998965620994568, -0.34637826681137085, -0.5209093689918518, 0.6954216957092285, 1.5729799270629883, 0.3320319950580597, -0.15230779349803925, -0.2498784363269806, -0.6096619367599487, -0.08091823011636734, -0.6632196307182312, 1.0065736770629883, 0.4255024790763855, -0.31801897287368774, -0.21786344051361084, 0.43196335434913635, -0.061769045889377594, 0.408640056848526, 0.31668585538864136, 0.19531838595867157, -0.948768138885498, -0.0396115779876709, 0.618645429611206, 0.7685544490814209, -0.38528627157211304, -0.5535875558853149, -0.028725724667310715, -0.041688211262226105, 0.7653564810752869, 0.4205021560192108, -0.4175782799720764, -0.528667688369751, -0.7409062385559082, -0.11772873997688293, 1.001426100730896, 0.1628493219614029, -1.117167353630066, -0.12557494640350342, -0.035857193171978, 0.04908652603626251, 0.30519014596939087, 1.3237090110778809, 0.9083791375160217, -0.0751393735408783, -1.227015733718872, -0.11201680451631546, -0.10923093557357788, 0.22132804989814758, -0.9377175569534302, -0.3454769253730774, 0.5756914615631104, -1.4637826681137085, 0.5790384411811829, -1.2451097965240479, -0.9304866790771484, -0.32941243052482605, 0.49423864483833313, -0.2385847121477127, -0.8794711232185364, 0.20505598187446594, -0.5867827534675598, 0.6700528264045715, 0.7632984519004822, 0.39471593499183655, -1.0449750423431396, 0.4775678813457489, -0.6584998965263367, 0.5113607048988342, -0.5517414212226868, -0.4026682376861572, -0.8046188950538635, -1.1633920669555664, 0.4649266004562378, -0.7901357412338257, 0.29310116171836853, -0.9737454056739807, -0.06703198701143265, 0.7697890400886536, -0.3278198540210724, -0.5116806626319885, -0.2234216183423996, -0.3540341258049011, 0.8283058404922485, -0.4894910156726837, 0.07103196531534195, -0.15307609736919403, -0.04384218901395798, -0.04036009684205055, -0.7452640533447266, -0.5966647267341614, 0.6261938214302063, -0.1465112268924713, -1.0310550928115845, 0.43344879150390625, 0.06960536539554596, -0.24332119524478912, -0.009934433735907078, 1.7289317846298218, -0.6303247809410095, 0.9322567582130432, -0.06193144619464874, -0.36245957016944885, 0.08233550190925598, 0.09705060720443726, 0.23250527679920197, 0.27328428626060486, 0.33648064732551575, -0.35215869545936584, -0.11790616810321808, -0.3637040853500366, 0.5658411979675293, -0.5221785306930542, -0.16068196296691895, 0.12143171578645706, 0.854614794254303, -0.22050385177135468, -0.11711281538009644, 1.8716442584991455, -0.47396376729011536, -0.9213578104972839, -0.5947592258453369, 0.3393636643886566, 0.07807394117116928, -0.8370521068572998, -0.4706428349018097, -0.16527801752090454, 0.4015677273273468, -0.7770808935165405, 0.09222327172756195, -0.3288169801235199, 0.6871793866157532, -0.7862339615821838, 1.678076148033142, -0.08404505997896194, 0.3559844493865967, -0.07171518355607986, -0.10983084887266159, 0.9908360838890076, -0.13151220977306366, 0.17099517583847046, -0.7191376090049744, -1.2920527458190918, -0.027787238359451294, 0.9103898406028748, -0.12410247325897217, -0.8420494198799133, -0.3764612078666687, 0.22830726206302643, -0.5403093099594116, -0.03353071212768555, -0.02460029162466526, 0.04776092618703842, -0.0525396466255188, -0.03424011915922165, -0.7803671956062317, 0.16764825582504272, -0.02963877283036709, 0.48300281167030334, 0.8289365172386169, -0.02940782904624939, 0.031094973906874657, -0.517812192440033, 0.6312656402587891, -1.1070189476013184, -0.03207908943295479, -0.06549321115016937, -1.171474575996399, 0.549961268901825, -0.6320381164550781, -0.36201852560043335, 0.293503999710083, 0.18593379855155945, 0.8107945322990417, -0.8281072974205017, -0.7650601267814636, 0.01019181590527296, 0.9682955741882324, -0.6728276610374451, 0.7772817611694336, 0.46310821175575256, 0.7031598091125488, -0.34663185477256775, -0.14845356345176697, -0.3074733316898346, 0.5731937289237976, -0.15371571481227875, -0.08294276893138885, -0.2786063849925995, 0.3491087853908539, -0.46994948387145996, 0.5126896500587463, -0.9318907260894775, -0.14362603425979614, -0.07994038611650467, -0.40325120091438293, 0.686126708984375, -0.03133726865053177, 0.4521839916706085, -0.7199118137359619, 0.3651111125946045, -0.0030994489789009094, -0.6179029941558838, -1.285531997680664, -0.48781663179397583, -0.16012322902679443, -0.16185793280601501, -0.8275824189186096, -0.7017963528633118, -0.0907829999923706, 0.04186265543103218, -0.8083778619766235, -0.04849670082330704, -0.8473585247993469, -0.4684925079345703, -0.03755103051662445, 0.2530520260334015, -0.21344095468521118, -1.1611628532409668, 2.004763126373291, -0.3277740180492401, 0.4811828136444092, 0.8541301488876343, -0.8127260804176331, 1.0145384073257446, -0.6286578178405762, 0.471480131149292, -0.22079429030418396, 0.1845349669456482, 0.05816065892577171, -0.23249194025993347, -0.3261810839176178, -0.46495234966278076, -1.106690764427185, 0.33746302127838135, 0.5162966847419739, -0.33185771107673645, -0.43206316232681274, 0.309633731842041, 0.2048480063676834, -0.49113619327545166, 0.51628577709198, 1.0398434400558472, -1.0473917722702026, -0.7387532591819763, 0.29339364171028137, -0.657324492931366, 0.38889092206954956, -0.45909595489501953, 1.2010573148727417, -0.3874826431274414, 1.2219678163528442, 1.1859033107757568, 0.4476432502269745, 0.9280834794044495, -0.5034259557723999, 0.41118645668029785, -0.5228453874588013, -0.6722934246063232, -0.17814895510673523, 0.4573288559913635, 0.6293612718582153, 0.16054639220237732, -0.005478262901306152, -0.44993820786476135, -0.5668206810951233, 2.062988519668579, -0.1398238092660904, 0.37211671471595764, -0.19101382791996002, 0.02659977786242962, 0.7593491673469543, 0.4949369430541992, -0.8830398917198181, -0.7526743412017822, -1.0516434907913208, 1.058485507965088, 0.22761407494544983, -0.8734040260314941, 0.6180967092514038, -0.1389199048280716, 0.2674599885940552, -1.3492158651351929, 0.18382802605628967, -0.188389390707016, -0.4434766173362732, -0.5191887617111206, -0.6819876432418823, 0.14015920460224152, 0.2785184681415558, -0.5619400143623352, 0.5944228172302246, 0.1306098997592926, -0.895354151725769, 1.0214176177978516, 0.9810594916343689, 0.5555593967437744, -0.1013021469116211, -0.32235443592071533, 0.6441619396209717, 0.7423095107078552, -0.6532285213470459, 0.4152945876121521, -1.3631576299667358, -0.3114267587661743, -0.42526939511299133, -0.931434690952301, 0.02889668196439743, -0.27659279108047485, 0.8983561396598816, 0.021068597212433815, -0.399840772151947, -1.1870579719543457, 1.4552253484725952, 1.2933086156845093, 0.19821661710739136, 0.3702702224254608, 0.12902240455150604, -0.615936815738678, 0.7110263705253601, -0.7205950021743774, 0.6586424112319946, -0.5764958262443542, 0.28815531730651855, 1.2030799388885498, 0.06849752366542816, 0.12614193558692932, 0.3397759199142456, 0.5747902989387512, -0.41067448258399963, -0.18923035264015198, 0.28030067682266235, -0.47375306487083435, -1.4069390296936035, -0.18909327685832977, -0.1835995465517044, 0.7254111766815186, -0.9412213563919067, -0.19602851569652557, -0.2630878686904907, 0.041050441563129425, -1.5111984014511108, 0.14769816398620605, -0.5497452616691589, 0.6214732527732849, -1.1304255723953247, -1.4678544998168945, -0.32321715354919434, 0.36386600136756897, -0.4771161675453186, -0.16738276183605194, 0.8056185245513916, 1.5432286262512207, -1.554560661315918, -0.49755436182022095, 0.13437889516353607, -0.48919007182121277, -1.6301180124282837, -0.29453733563423157, 0.28003981709480286, 0.027644462883472443, 0.18616169691085815, 1.2868200540542603, -0.7218701243400574, -0.3971821665763855, 0.4623728096485138, 1.0146937370300293, -0.026170169934630394, -0.1106579527258873, -1.2424196004867554, -0.229632169008255, -0.25331130623817444, 0.24737022817134857, -0.6543309092521667, -0.42381879687309265, -0.46078410744667053, -0.025364182889461517, -0.1339673399925232, -0.39806708693504333, 1.2661128044128418, 0.791987419128418, -0.1813172847032547, 0.09651286154985428, -0.1824524849653244, -0.09778901189565659, 0.5832206606864929, 0.2633601129055023, -0.09949001669883728, 0.28766754269599915, -0.7437090873718262, -1.0997339487075806, 0.5933569073677063, -0.5221298933029175, -1.0296190977096558, 0.464727520942688, -0.1845552921295166, -0.7444155812263489, 0.5769362449645996, 0.186933234333992, -0.29079172015190125, -0.2590830326080322, -0.38663923740386963, 0.2899670898914337, -0.48696380853652954, 0.051969364285469055, -0.48961904644966125, -1.0421425104141235, 0.4428812265396118, 0.9633637070655823, -0.1067877933382988, 0.16014286875724792, 0.3618351221084595, -0.3742470443248749, 0.8678104877471924, 0.8903201222419739, -0.2973196506500244, 0.2107122391462326, -0.25789353251457214, 0.8698690533638, 0.23692508041858673, 0.9317313432693481, -0.07598800957202911, 0.22088125348091125, -0.5870262384414673, -0.18376407027244568, -0.6943072080612183, -0.12194882333278656, 1.1142560243606567, 0.15664905309677124, -0.06809718161821365, 0.01929178088903427, -0.29135650396347046, -1.167681097984314, 0.33269795775413513, -0.5166988968849182, 0.2852608859539032, 0.5916730761528015, -0.0072257802821695805, -0.011475530453026295, -1.2134511470794678, 0.3223334550857544, 0.05503184720873833, 0.10327882319688797, 0.3364596664905548, -0.1366194784641266, -0.28896552324295044, -0.2201494425535202, 0.7605730295181274, -0.41798415780067444, -1.037392258644104, -0.10940004885196686, 0.4841747581958771, 0.18440032005310059, 1.2659802436828613, 0.04405532032251358, -2.807706832885742, -1.188399314880371, -0.2659000754356384, -1.1786761283874512, -0.6065359711647034, -0.857886791229248, -0.3081795573234558, 0.45819002389907837, 0.0011169854551553726, 0.31926727294921875, 0.5087596774101257, 0.7910217046737671, 0.6253433227539062, -0.40930435061454773, -0.7683037519454956, -0.5587541460990906, -0.18393923342227936, 0.21485929191112518, -0.3599787652492523, -0.6085445284843445, -0.5850428342819214, -0.4769558906555176, -0.15628087520599365, -0.7187739014625549, 0.4264802634716034, 0.05148877203464508, -0.41319912672042847, 0.3922262191772461, -0.17913708090782166, -0.10809481889009476, 0.2503713369369507, 0.6118981242179871, -0.5587709546089172, -1.0509405136108398, -0.10474061220884323, 0.374394029378891, 0.821677029132843, 0.43428224325180054, 0.23138022422790527, -10.889095306396484, 0.3245674669742584, -0.5117924213409424, -1.3300180435180664, 0.395189106464386, 0.03439611196517944, -0.10507897287607193, -1.0105668306350708, 0.9351359009742737, -0.6806806921958923, -0.502302885055542, 0.1774270236492157, -0.23135991394519806, 0.013352792710065842, 0.42007339000701904, -0.48901283740997314, 0.32861459255218506, 0.012174287810921669, -1.0423007011413574, -0.33446988463401794, -0.5826297402381897, 0.03219829499721527, 0.35164007544517517, -0.5229895710945129, -0.2466074377298355, 0.2797851860523224, 0.26891741156578064, -0.42690572142601013, -1.0669960975646973, 0.18261653184890747, 0.4964306652545929, 1.6341257095336914, 0.5770246982574463, 0.2212667614221573, 0.22811776399612427, -0.1669146567583084, 0.6545516848564148, 1.0961415767669678, 0.3677774965763092, -0.27584409713745117, 0.6605127453804016, 0.22701182961463928, 0.07113462686538696, -0.19485656917095184, -1.5291669368743896, 0.8094592690467834, -0.8798292279243469, -0.24457666277885437, -0.6229993104934692, -0.09368155896663666, -0.3707857131958008, -0.466043621301651, 0.29186293482780457, -0.010619531385600567, -0.8456740975379944, -0.023423995822668076, -0.32998958230018616, 0.007310983259230852, -1.0994231700897217, 0.2648278772830963, -0.20898158848285675, -1.0057295560836792, 0.19413162767887115, 0.12811657786369324, 0.026288339868187904, -0.2910342812538147, -0.37215885519981384, -0.2318485826253891, 0.49262234568595886, 0.16315393149852753, -0.7853624224662781, -0.6363349556922913, 0.304561972618103, 0.852618932723999, 0.08863118290901184, 0.04832647368311882, -0.16968388855457306, -0.13629908859729767, -0.3786577880382538, 0.2633611857891083, 0.09652063995599747, 1.9941972494125366, 0.39104166626930237, 0.7811128497123718, 0.6950490474700928, -1.3204513788223267, -0.6046139001846313, -1.4265081882476807, -0.12585008144378662, -0.4908509850502014, -0.12499423325061798, 0.4202292263507843, -0.9110736846923828, 0.42440497875213623, -0.5698109865188599, 0.6206851005554199, 0.6686279773712158, -0.2558448314666748, -1.226610779762268, -0.2571190595626831, 1.2050155401229858, 0.19024914503097534, 1.3242368698120117, -0.7647050619125366, -0.462274968624115, 0.592117428779602, -0.15388551354408264, 0.14138254523277283, 0.3071374297142029, -0.02464948780834675, 0.43815404176712036, 0.21243417263031006, 0.20440146327018738, -0.6895925402641296, -0.6029025316238403, -0.3106600046157837, 0.0396498404443264, -0.6122770309448242, -1.59401273727417, -0.2989634573459625, -0.31799808144569397, -0.362264484167099, -0.5366060137748718, -0.5564529895782471, -0.2460830807685852, -0.1067003384232521, -0.23451335728168488, -1.7635549306869507, 0.8805536031723022, -0.42888545989990234, 0.6041560769081116, 0.8093001842498779, -0.3918079733848572, 0.3123500645160675, 0.12558498978614807, -0.6630876660346985, 0.4563073515892029, 0.6653109788894653, -0.23157396912574768, 1.225070595741272, 1.3370091915130615, 0.40016815066337585, -0.21117259562015533, 0.15826629102230072, 0.3555898368358612, -0.4695515036582947, -0.3996240496635437, -0.008790723979473114, -0.25055232644081116, -0.5775104761123657, -0.6689026355743408, -0.8757520318031311, 0.704111635684967, 0.943014919757843, -0.6673643589019775, 0.3475385308265686, -1.079183578491211, 0.2653297185897827, 0.12869639694690704, -0.7802830338478088, 0.3626120388507843, -0.16759631037712097, 1.0328235626220703, 0.4155924618244171, 0.5129363536834717, -1.0071836709976196, 0.2103634476661682, -0.9070053696632385, 1.5704641342163086, -0.5495757460594177, 0.3233494162559509, -0.35750144720077515, -0.22547000646591187, 0.6610801815986633, 0.31946513056755066, -0.35292676091194153, 0.2880806624889374, 0.8622961640357971, 0.1408243179321289, -1.836138367652893, 0.24569791555404663, 2.2285690307617188, 0.3219185173511505, 0.6137816905975342, 1.3460214138031006, 0.1515832543373108, 0.6298590898513794, 0.8196852803230286, 1.0923618078231812, -0.3280552327632904, 0.4192138612270355, 0.14369268715381622, -1.1985692977905273, -0.13303165137767792, -0.9404454827308655, -0.5226075649261475, -0.5915220379829407, -0.32868969440460205, 0.3499801456928253, 1.0288299322128296, -0.10320478677749634, 0.5042465925216675, 0.9115613698959351, 0.7828450798988342, -0.4875863492488861, 0.7249176502227783, 0.46917423605918884, 0.6953811049461365, 0.3826625645160675, -0.6357776522636414, 0.6436302661895752, 0.3402358293533325 ]
106
0704.0108
Sergey Gubin
Sergey Gubin
Reducing SAT to 2-SAT
8 pages
null
null
null
cs.CC
null
Description of a polynomial time reduction of SAT to 2-SAT of polynomial size.
[ { "created": "Sun, 1 Apr 2007 23:16:27 GMT", "version": "v1" } ]
2007-05-23
[ [ "Gubin", "Sergey", "" ] ]
07
[ 0.3698655068874359, -0.2973681390285492, -1.0980525016784668, -0.567511260509491, 0.2607540786266327, 0.06755122542381287, -0.9096278548240662, -0.608664870262146, -0.03441464900970459, 0.3890407383441925, 0.4319186508655548, -0.6383490562438965, -0.31968632340431213, 0.44028738141059875, -0.5624956488609314, -0.054767198860645294, 0.2866765558719635, -0.023670939728617668, -0.3562503457069397, 0.09527286887168884, -0.54958575963974, -0.38163748383522034, -0.38414448499679565, -0.22446945309638977, 0.047022271901369095, 1.000377893447876, -0.3793703615665436, 0.7754151225090027, -0.6436224579811096, -0.004093666095286608, 0.941554844379425, -0.07004274427890778, -0.14894947409629822, 0.4051898717880249, 0.461686909198761, 0.46374011039733887, -0.12746667861938477, -0.4167376458644867, -1.603417992591858, 0.648692786693573, -0.7743973731994629, 0.40765467286109924, -0.07020500302314758, 0.3640870153903961, -0.0405522845685482, -1.147627830505371, -0.42282766103744507, 0.021672025322914124, 0.9739511013031006, 0.3726339042186737, -0.3961426317691803, 0.47911226749420166, -1.3038349151611328, -0.5927343368530273, -0.831096887588501, 0.21505217254161835, -0.6905580759048462, 0.06686054915189743, -0.15092065930366516, -0.2477964162826538, -0.1709262877702713, 0.1331399381160736, 0.17338134348392487, 0.09239545464515686, -0.5862924456596375, 1.1274856328964233, 0.4166942238807678, 0.7740375399589539, 0.8547607064247131, 0.01477253157645464, 0.6981227993965149, -0.4592464864253998, 0.03650043532252312, 0.2520469129085541, 0.24476639926433563, 0.562122642993927, 0.5717257857322693, 0.20992830395698547, 0.8947824239730835, -0.2676478922367096, 1.7413330078125, 0.13152697682380676, -0.3087221682071686, -0.29514119029045105, 0.813336193561554, 0.27513840794563293, -0.18625928461551666, 0.7459151744842529, -1.2908433675765991, 0.25029703974723816, -1.6837221384048462, -0.008402087725698948, 1.6760923862457275, 0.458365797996521, -1.327500581741333, -1.2608160972595215, -0.40548238158226013, 1.5157740116119385, -0.8633430600166321, 1.5397292375564575, -0.10961981117725372, -0.30499881505966187, -0.02910541743040085, -0.1634659320116043, -0.4475661814212799, -0.7778434753417969, 0.308479368686676, -1.1719774007797241, -1.3119443655014038, -0.3542363941669464, 0.735858678817749, -2.200875759124756, 0.22888097167015076, 1.0659966468811035, -1.0043861865997314, -0.06185118108987808, -0.6807934641838074, -0.1256963312625885, 1.1947022676467896, -0.7242718935012817, -0.17951075732707977, 0.12645268440246582, -0.694202721118927, -0.24665425717830658, 0.329888254404068, -0.02668805606663227, -0.01994246430695057, -0.15486858785152435, 0.06496890634298325, -0.25835978984832764, -0.39885738492012024, 0.12849736213684082, 0.5219084024429321, -1.0003997087478638, -0.7760300040245056, 0.6875231266021729, 0.4716431200504303, -0.38970229029655457, -0.0903024971485138, -0.014727639965713024, -0.23421862721443176, 0.0648249089717865, -0.025605909526348114, -0.18426863849163055, -0.3053000569343567, 0.08368012309074402, -0.3504467308521271, 0.08632111549377441, -0.5342123508453369, 0.38412272930145264, -1.164978265762329, 0.6624732613563538, 0.8217037916183472, 1.0900579690933228, -0.3915421664714813, -0.14242783188819885, -1.2810992002487183, 0.5034411549568176, -0.8190379738807678, 0.9329054355621338, 0.7218877673149109, 0.786890983581543, -0.19144661724567413, 0.9634114503860474, 0.1872655600309372, -0.12232955545186996, 0.5933331251144409, -0.8151681423187256, -0.010504236444830894, -0.6649516820907593, -0.9328567385673523, -0.4253098964691162, -0.008801654912531376, 1.4647151231765747, 0.5111574530601501, 1.247281551361084, -0.646822988986969, 0.025518810376524925, -0.013680440373718739, -0.3911697268486023, -1.1144112348556519, -0.11769673228263855, -0.6543887257575989, 0.05196254700422287, 0.32000038027763367, -0.257760614156723, 0.587967038154602, 0.20449262857437134, -0.8999585509300232, -0.5270652770996094, -1.3946716785430908, -0.26454293727874756, -2.8532493114471436, -0.8703383207321167, 0.20269173383712769, 0.1159847155213356, 0.11073456704616547, 0.5230616927146912, 0.2675389349460602, 0.4466370940208435, 0.10643378645181656, 0.514082133769989, -0.08725515753030777, 0.5052563548088074, -0.6836258769035339, -0.9285138845443726, 1.8603789806365967, -0.9955175518989563, 0.15394651889801025, -0.9542021751403809, -0.17062200605869293, 0.047597113996744156, -0.6128458976745605, -0.3049395978450775, 0.5165851712226868, 0.0201607346534729, -0.21957600116729736, -0.592914342880249, -0.4431923031806946, 1.7889137268066406, -0.41770026087760925, 0.5161304473876953, -1.0858579874038696, -0.5028031468391418, 0.11712971329689026, -1.5930254459381104, -0.15429241955280304, -0.9195243120193481, -0.49703097343444824, -1.1115055084228516, 0.47350868582725525, 0.9337390065193176, 0.6644189953804016, -0.9350313544273376, 0.012415595352649689, -0.44489607214927673, -0.646051824092865, -0.6679104566574097, 0.645265519618988, -0.3618720471858978, -0.3569459915161133, 1.2342008352279663, -0.570594310760498, -0.17202112078666687, -0.6684439182281494, -0.06807626038789749, -0.751171350479126, -0.002427218947559595, 0.810723602771759, 0.5834184288978577, 0.2283218652009964, -0.29281869530677795, -0.07671184837818146, 0.394758403301239, -0.8096408843994141, -1.1015466451644897, 0.6286640763282776, -0.15899349749088287, -2.1844310760498047, -0.9584940671920776, -0.8703374266624451, -0.7553139328956604, -0.5065507888793945, 0.7189176678657532, -1.2239353656768799, -1.1359777450561523, -0.759604275226593, -0.01869216188788414, -0.04236714541912079, -0.8565882444381714, 0.11184992641210556, -0.14181256294250488, -0.4786369800567627, 0.717702329158783, -1.175301432609558, -0.559567391872406, -0.48815715312957764, -1.9332609176635742, -0.8064077496528625, -0.5034431219100952, 0.4100459814071655, 0.6214708089828491, 0.577588677406311, -0.6480878591537476, -0.5368834137916565, -0.8895722031593323, -0.9733311533927917, 0.1592549830675125, -0.263172447681427, -0.7166580557823181, -0.2818690836429596, 1.0676870346069336, -0.31027767062187195, -0.24148708581924438, -0.7927875518798828, -0.11658546328544617, -0.08978903293609619, -0.6872532963752747, 1.0697935819625854, -0.12128856033086777, 0.31740906834602356, 0.8068031072616577, -1.550567865371704, 0.5913392305374146, 0.5878996849060059, -0.5275026559829712, -0.6675902605056763, -0.15242740511894226, 0.0639195367693901, -0.35709866881370544, 1.0657964944839478, 0.7668489813804626, -1.270007610321045, -0.15330824255943298, -0.46101635694503784, -1.183004379272461, 0.9360118508338928, -0.20361946523189545, 0.24088828265666962, -0.46234482526779175, -1.666094183921814, 0.3510715663433075, 1.231641173362732, -0.7204785943031311, -1.1865160465240479, -0.030869238078594208, -0.488916277885437, 0.07750125229358673, 1.4869359731674194, -0.6110692024230957, 1.6587042808532715, 0.8047040700912476, 0.30509498715400696, 0.5392523407936096, -1.7161052227020264, 0.6348239779472351, 0.39914146065711975, -1.0176905393600464, 0.22086447477340698, 0.1807580143213272, 1.3256893157958984, 0.5344346761703491, 0.680509626865387, 0.13810497522354126, 0.6966750621795654, 0.44935041666030884, -0.2840041220188141, 0.055571794509887695, -0.7690277695655823, 0.11033637076616287, 0.01003106590360403, -0.7191324234008789, -1.6164418458938599, -0.8845732808113098, 0.683954656124115, 0.1339898258447647, 0.3488691449165344, -0.5059514045715332, -1.0280976295471191, -1.3980683088302612, 0.563456118106842, -0.734600305557251, 0.6468351483345032, -0.36845386028289795, 0.13785400986671448, -0.6164670586585999, 0.46006545424461365, -0.12451902031898499, 0.011345773935317993, -0.289424329996109, 0.37634289264678955, 0.12363719195127487, 0.26885831356048584, -0.24780994653701782, -0.5687991976737976, 0.9548282027244568, 0.7421396374702454, 0.21612827479839325, 0.334046870470047, 0.11995986849069595, 0.7193819880485535, 0.4750620424747467, 0.18615184724330902, 0.4974651634693146, -0.6495919227600098, 1.068758487701416, 1.4110511541366577, -0.5838226079940796, -0.06071460619568825, 0.6450580954551697, 0.22857168316841125, -0.48169049620628357, -0.4981346130371094, 0.2814767062664032, -0.3558880090713501, 0.3238169252872467, 0.35546940565109253, -1.1901698112487793, -0.5842567682266235, 0.22049839794635773, 0.4363158643245697, -0.9518317580223083, -0.8611302971839905, 0.08379898965358734, 1.2386715412139893, -0.20499829947948456, -0.556210458278656, 0.12166305631399155, 0.08775278180837631, -0.7645757794380188, 1.569057822227478, -0.3631138503551483, -0.008252760395407677, 0.18292029201984406, 1.1312719583511353, -0.5253556966781616, 0.45350879430770874, 0.26577189564704895, 0.07999949157238007, -0.6634956002235413, -0.1537753939628601, -0.9533933997154236, -0.07752397656440735, -0.3139587342739105, -0.031771354377269745, -1.1720890998840332, -0.3667699098587036, -0.752816379070282, -0.07238796353340149, -0.5098581910133362, 0.32201775908470154, -1.6687803268432617, 1.2172406911849976, 0.10386742651462555, -0.02308448776602745, 0.10432470589876175, -1.2513856887817383, -0.015558348037302494, 0.0784049779176712, -1.2959743738174438, 0.022333811968564987, 0.3497946560382843, -0.9679954051971436, -0.9666584134101868, -0.41399332880973816, 0.9687594771385193, -0.3800237476825714, 1.5132282972335815, 0.2951202392578125, 0.2565423846244812, -0.5417236685752869, -0.40899860858917236, -0.014038337394595146, 0.19186778366565704, -0.28222373127937317, -0.47391557693481445, 1.7438932657241821, 0.429281622171402, -0.6315180063247681, -0.7254292368888855, -0.7162418961524963, -0.31611040234565735, 0.3094659447669983, 0.05001112446188927, -0.14310535788536072, -0.9996740818023682, 0.336466908454895, 0.5559048056602478, -0.7420076727867126, 0.21866317093372345, 0.6426311135292053, -0.12477375566959381, -1.1531867980957031, -1.399304747581482, 0.28541940450668335, 0.3276256322860718, -0.06674326956272125, 0.9676265716552734, 0.5143897533416748, -0.5321358442306519, 1.2026174068450928, 0.43797025084495544, 0.7050908803939819, -0.4732470214366913, 0.7316123247146606, -0.4617803692817688, 1.252223014831543, -0.3499915897846222, -0.46615058183670044, 1.0907775163650513, -1.1871817111968994, 0.1265803873538971, 0.336391419172287, 0.37157973647117615, -0.3924521803855896, 0.630687952041626, 0.6821444630622864, 0.605290412902832, -0.09227678179740906, -0.07372055947780609, 0.1825859397649765, -0.6455392837524414, -0.2992412745952606, 0.6187233924865723, -0.41367048025131226, -1.1060224771499634, -0.5085523724555969, 0.11901435256004333, 0.008297104388475418, 0.12102901935577393, 0.24070584774017334, 0.03730819746851921, -0.8275373578071594, 0.6882308721542358, 0.7619880437850952, 0.35553568601608276, -0.5743229985237122, -2.8189146518707275, 0.6868816614151001, 0.8856343030929565, 0.3343087136745453, -0.8796775937080383, -0.2770724296569824, -1.1733405590057373, 0.5372603535652161, 0.586463987827301, -0.0457821860909462, 0.04247886314988136, 0.36225032806396484, 0.5933279395103455, -0.7334891557693481, 0.5184956192970276, -0.561972975730896, 0.3467104136943817, -1.5145493745803833, 0.16675621271133423, -0.7092047929763794, 1.9615631103515625, -0.6425909399986267, -0.45381736755371094, 0.17127369344234467, 1.3193994760513306, 0.0417165569961071, -1.5812807083129883, 1.2775529623031616, -0.18380926549434662, 0.07315956801176071, -0.3579787015914917, -1.2238012552261353, -0.7573847770690918, -1.2722010612487793, -0.7244905233383179, 0.6408804059028625, 0.2929737865924835, -0.24063004553318024, 1.0439820289611816, -7.6775922775268555, 0.7431226968765259, 0.37888917326927185, 0.4305492043495178, 0.7080957889556885, 0.6634592413902283, -0.42456531524658203, -0.06530655920505524, 0.0506698377430439, -0.007973780855536461, -0.12008097767829895, 0.21487101912498474, 0.27655303478240967, -0.20331919193267822, -0.4290563762187958, -0.5232146382331848, -0.0756530910730362, 0.22637957334518433, -0.44191601872444153, 0.6622956395149231, 0.4547445774078369, -0.2728568911552429, 0.9790231585502625, -0.731769859790802, 1.2098110914230347, -1.23545503616333, 0.6554586291313171, -1.7058981657028198, 1.3438997268676758, 0.5327058434486389, -0.28606322407722473, -0.22715236246585846, 0.7872562408447266, -0.42176562547683716, 1.7209686040878296, -0.500934362411499, 1.5548776388168335, -0.39201441407203674, -0.9385566115379333, -0.27824875712394714, -0.4176013171672821, 0.45192623138427734, 0.3763329088687897, -0.03431622311472893, -0.8500525951385498, 0.36862337589263916, -0.31507301330566406, 0.9233570694923401, 0.18258681893348694, -0.206800639629364, -1.192656397819519, -0.05378267541527748, 0.26126599311828613, -1.0592353343963623, 0.42592936754226685, -1.0067058801651, 0.04773156717419624, 0.41578608751296997, -1.3281828165054321, -0.5986545085906982, 0.14405038952827454, -1.7016345262527466, 1.7851649522781372, 1.58870267868042, 1.0810415744781494, 0.1280878335237503, -0.1179470643401146, 0.6787641644477844, 1.439834713935852, 0.8534824252128601, -0.2908032238483429, 0.011581326834857464, -0.9743733406066895, 0.9775245785713196, -0.34082603454589844, -0.6256861686706543, -0.4463141858577728, 0.8214107155799866, -0.2525884509086609, -0.405823677778244, -0.4287504553794861, -0.44642505049705505, 0.4005267322063446, -0.5115289092063904, 0.8903627991676331, -0.0716099664568901, 0.4345441162586212, 1.2296143770217896, 0.724637508392334, 0.8860437870025635, -0.4241458773612976, 0.8077437877655029, -0.5692170262336731, 0.793776273727417, 0.45505762100219727, -0.8782007098197937, 0.5442754030227661, 0.15770989656448364, 0.8646934628486633, -1.0503860712051392, 1.2244188785552979, 1.6738182306289673, 1.1650265455245972, 0.5263935327529907, 0.3135318458080292, -0.44254106283187866, 0.15964241325855255, 0.17847228050231934, 0.4947359263896942, 0.2462579607963562, 0.8844846487045288, 0.7561858892440796, 0.43882596492767334, -0.813041627407074, -0.8198375701904297, 1.261546015739441, 0.4126041829586029, 0.638291597366333, -0.6250448822975159, 0.17703229188919067, -0.20947754383087158, -0.7344298362731934, 1.181449294090271, -1.194899082183838, -0.12352447211742401, -0.3186512291431427, 0.31739184260368347, -1.7843105792999268, 0.030908746644854546, -0.13050790131092072, 0.4282301068305969, 0.44300681352615356, 0.8737303614616394, 1.3891797065734863, 0.49891236424446106, -1.2390071153640747, -0.9212707877159119, 1.0137852430343628, 0.21366529166698456, -0.6238404512405396, -0.546310544013977, -0.16136975586414337, -0.07108958810567856, 1.1767046451568604, 0.5085113644599915, -0.3237604796886444, 0.29703301191329956, -0.6100531816482544, -0.9714101552963257, -1.2057080268859863, -0.025514448061585426, -0.12020056694746017, 1.1786690950393677, 0.7166927456855774, -0.42899367213249207, 0.5420044660568237, 0.6670383214950562, -0.14129944145679474, -0.8330582976341248, -1.049567699432373, -0.020256604999303818, 0.6804413795471191, 0.5347512364387512, -0.2982100248336792, 1.5365263223648071, -0.48493707180023193, 0.9645867347717285, 0.8366540670394897, 1.0873039960861206, 0.6779940128326416, -0.29879772663116455, -0.8469916582107544, -0.18750512599945068, -0.6156338453292847, 1.295505404472351, -1.2095363140106201, -0.3980637490749359, -0.1031813770532608, 0.5940426588058472, -0.40877196192741394, 0.06068221107125282, 0.6872275471687317, 0.475566565990448, -0.6160697937011719, -1.1660934686660767, -0.21536774933338165, 0.7226643562316895, 1.5490537881851196, 0.5201298594474792, -0.4591946601867676, 0.05035160854458809, -0.4681127071380615, 1.447027325630188, -0.3806858956813812, -0.4735530912876129, -0.05342452600598335, -0.45154938101768494, 0.8338779807090759, -0.3348556160926819, -1.5283777713775635, -1.0555882453918457, 0.4625513553619385, -0.7773571610450745, -0.4882958233356476, 0.08162821829319, -0.1962464600801468, -1.6962496042251587, -0.3336963951587677, 0.5774064660072327, 0.7844793200492859, -0.031882595270872116, -0.03983861207962036 ]
107
0704.0109
Engin Durgun
Engin Durgun, Deniz Cakir, Nurten Akman, and Salim Ciraci
Half-metallic silicon nanowires
5 pagesm 4 figures
null
null
null
cond-mat.mtrl-sci cond-mat.other
null
From first-principles calculations, we predict that transition metal (TM) atom doped silicon nanowires have a half-metallic ground state. They are insulators for one spin-direction, but show metallic properties for the opposite spin direction. At high coverage of TM atoms, ferromagnetic silicon nanowires become metallic for both spin-directions with high magnetic moment and may have also significant spin-polarization at the Fermi level. The spin-dependent electronic properties can be engineered by changing the type of dopant TM atoms, as well as the diameter of the nanowire. Present results are not only of scientific interest, but can also initiate new research on spintronic applications of silicon nanowires.
[ { "created": "Sun, 1 Apr 2007 22:10:53 GMT", "version": "v1" } ]
2007-05-23
[ [ "Durgun", "Engin", "" ], [ "Cakir", "Deniz", "" ], [ "Akman", "Nurten", "" ], [ "Ciraci", "Salim", "" ] ]
07
[ 0.8241815567016602, -0.32539448142051697, -0.05878537520766258, -0.9737890362739563, -0.20506249368190765, 0.6041265726089478, -0.6819875836372375, -0.8708690404891968, -0.8415321707725525, 0.14958272874355316, 0.004445431753993034, -0.8895819187164307, 0.7266219258308411, 0.5008237957954407, -0.4717411994934082, -1.5862672328948975, 0.842954158782959, -0.4636417031288147, 0.30699852108955383, 0.494611531496048, -0.2951415479183197, -0.14498695731163025, 0.22335274517536163, -0.48211759328842163, -0.5810272097587585, 0.2263593077659607, -0.32364383339881897, 0.14940552413463593, -0.053174737840890884, -0.6944438815116882, -0.2752174437046051, 0.7893492579460144, 0.5222423076629639, -0.2532764673233032, -0.30288901925086975, -0.9106634855270386, -0.47468966245651245, -0.3733898103237152, -0.7590152025222778, -0.7362585067749023, -0.13379162549972534, -0.43751466274261475, -1.2218183279037476, 0.3390141725540161, -1.4990512132644653, 0.6998518109321594, -0.7297560572624207, -1.1267896890640259, 0.2823103368282318, 0.3504303991794586, 0.7204848527908325, 0.5517253279685974, -0.7717760801315308, -0.07925763726234436, 0.6698837280273438, 0.8303880095481873, 0.14474718272686005, 0.1923586130142212, 0.4923635423183441, -1.8634239435195923, 0.06612914055585861, 0.9615930318832397, -0.19228188693523407, -0.4731082618236542, -0.4041544795036316, 0.8953307867050171, 0.4594593942165375, -0.41399073600769043, 0.6652398109436035, 0.8183395266532898, 0.7270636558532715, -0.756581723690033, -0.014556065201759338, 0.9464613795280457, -0.44738736748695374, -1.4673359394073486, -0.7598452568054199, -0.4557459354400635, 1.29608952999115, -0.7423809170722961, -0.4407505393028259, 1.129579782485962, -0.4224086403846741, -0.6298364996910095, 0.31136083602905273, 0.4687444567680359, 1.02510666847229, -0.2945300042629242, 0.5231702327728271, -1.134110689163208, 0.4233260452747345, -0.6028239130973816, -0.1895618885755539, -1.1724202632904053, 0.47110700607299805, -0.8266441822052002, -0.24628716707229614, -0.06311661005020142, 0.08375807106494904, 1.878244400024414, -0.14218886196613312, 0.35068100690841675, 0.20021595060825348, 0.011626354418694973, -0.19392378628253937, 1.0032230615615845, 0.16089580953121185, 0.08918166905641556, -1.0414031744003296, 0.3785400092601776, -0.823412299156189, -0.9004423022270203, -0.46146249771118164, 0.11516278982162476, -0.959762454032898, 0.7389214634895325, -0.3187546133995056, -0.950688898563385, -0.1795353889465332, -0.4985566735267639, -0.5099766850471497, -0.22438570857048035, -0.36732763051986694, -0.4538317322731018, 0.008518964983522892, 1.6512069702148438, 0.5737674832344055, -0.16104121506214142, 0.9940515160560608, 0.3058432638645172, -1.4026575088500977, -0.991584300994873, 0.009907282888889313, -0.9179834127426147, -0.3448379933834076, -1.2728358507156372, -0.5489813089370728, 0.1316196173429489, -0.31521159410476685, -0.593101978302002, 0.048367682844400406, 0.6471830010414124, -0.8437076210975647, 0.3036196827888489, 0.8425203561782837, -1.3601495027542114, -0.7390120029449463, 0.006228383630514145, 0.2171907275915146, 0.2023923695087433, -0.18551379442214966, 0.5930134057998657, 0.27953070402145386, 1.1069056987762451, -0.12275049835443497, -0.28385356068611145, 1.0922833681106567, 0.9162916541099548, -1.220961570739746, 0.5962949395179749, 1.878994345664978, -0.19289085268974304, 0.2964825928211212, -1.9089272022247314, -0.048328328877687454, 1.796420931816101, -0.05561009794473648, 0.04648793488740921, 0.23855049908161163, 1.0148571729660034, 0.34339839220046997, -0.27973881363868713, 0.021952470764517784, 0.995449423789978, 1.0390892028808594, 0.9515541195869446, 1.0166674852371216, 0.5433422923088074, -1.5676361322402954, 1.0718755722045898, 0.3080736994743347, 0.2016495317220688, 0.2946556806564331, 0.8861687779426575, 0.4297727048397064, -0.63140469789505, 0.9713449478149414, -0.39201098680496216, 0.26394492387771606, -1.1450293064117432, -0.8541410565376282, -0.07523112744092941, -1.0305616855621338, 0.26108071208000183, -0.05907544866204262, -0.6525930166244507, -0.1880643367767334, 1.2296382188796997, -0.46143320202827454, 0.3164958357810974, -0.7800562977790833, 0.7738876938819885, -0.5278365612030029, -0.09469981491565704, -1.5119425058364868, 1.5449843406677246, 0.523620069026947, 0.33684882521629333, -0.39513489603996277, -0.007146877236664295, 0.7577241659164429, -0.5571841597557068, -0.19377057254314423, 0.2007090449333191, -0.64573734998703, -0.8930833339691162, 0.6492829918861389, 0.12323015183210373, 0.2547153830528259, -0.10070636868476868, -0.07061246037483215, 1.1592772006988525, -0.42958688735961914, 0.3826039135456085, -0.22751249372959137, -0.3941248953342438, -0.41547951102256775, 0.48995596170425415, -0.6904670000076294, -0.7468467354774475, -0.618332028388977, -0.11710292845964432, -0.3550422787666321, -1.0664206743240356, 0.8980889320373535, -1.3685399293899536, -1.0855433940887451, -0.2630798816680908, -0.5296918153762817, 0.055574432015419006, -0.44095566868782043, 0.18415170907974243, 0.31751176714897156, 0.3434096872806549, 0.040900882333517075, -0.6745428442955017, 0.04969004914164543, -0.39365679025650024, 1.011938452720642, -0.1804138720035553, -0.05780617520213127, 0.8139081001281738, 0.00034635327756404877, 0.6692725419998169, 0.1910017430782318, -1.1253546476364136, 0.30984973907470703, -0.7784581184387207, 0.5014022588729858, -0.18529477715492249, -0.3714992105960846, -0.39907729625701904, 0.1478152573108673, -0.05498800799250603, 0.3048699200153351, 1.1729345321655273, 0.9165883660316467, 0.10786332190036774, -1.2328070402145386, 0.22812041640281677, 0.5458131432533264, -0.07531622797250748, -1.1923415660858154, -0.5085548162460327, 1.3905006647109985, 0.7497662305831909, -1.358763337135315, -0.6718623638153076, -0.3365524709224701, 1.1070128679275513, -0.055722326040267944, -0.012271820567548275, -0.0622352734208107, 0.541436493396759, -0.6001628041267395, -0.28356438875198364, -0.6662490963935852, 0.2763855755329132, -0.3245692849159241, 0.5443658232688904, -0.6371152997016907, 1.280650019645691, -0.34701070189476013, -0.781223714351654, 0.22383160889148712, -1.047256588935852, 0.19784124195575714, 0.07393929362297058, -0.1751999706029892, 0.3375292122364044, -0.02718021161854267, -0.0038809601683169603, 0.1552681028842926, -0.1259957253932953, -0.06602838635444641, 0.2971166670322418, 0.4561844766139984, -0.55181884765625, 0.5759672522544861, -0.9318153858184814, -1.0796751976013184, 2.505949020385742, -0.0625014677643776, 0.02901870757341385, 0.07977841049432755, -0.20400045812129974, -1.0890982151031494, -0.7168104648590088, 0.010029435157775879, -0.13222309947013855, 0.4131065011024475, 0.3713739812374115, -0.6673322319984436, 0.5216345191001892, 0.9016716480255127, -1.3277430534362793, -0.6718201637268066, 0.27741459012031555, 0.13500092923641205, -0.06871073693037033, 0.343936026096344, 0.11220036447048187, 0.3348012864589691, 0.5655236840248108, -0.7707581520080566, -0.40147605538368225, -0.2894492447376251, 0.33037877082824707, 0.07775916159152985, 0.1619112491607666, -0.4064658582210541, 1.0219203233718872, 0.33162882924079895, 0.2716529667377472, -0.47277945280075073, 0.020146619528532028, -1.6693100929260254, 0.057764191180467606, -0.6848540306091309, -0.8138307929039001, -0.33837419748306274, 0.5830219984054565, 0.7483034133911133, -0.4149915277957916, 0.684865415096283, -0.2871660590171814, 0.7385967969894409, 0.3204936683177948, 0.9480664134025574, 0.9899442195892334, 0.2614014446735382, 0.23415327072143555, -0.20774893462657928, 0.2650950253009796, 0.6074853539466858, -0.4967712163925171, 0.9401305913925171, 0.5327205657958984, -1.0801154375076294, 0.32544106245040894, 0.2572486996650696, 0.06635171175003052, 0.19263316690921783, -0.835521399974823, -0.6129763126373291, 0.5613166689872742, -0.7326734662055969, 0.46906647086143494, 0.26426804065704346, 0.18629886209964752, -0.6912708878517151, -1.3722164630889893, 1.3798317909240723, -0.3806743621826172, 0.23659001290798187, -0.8393732309341431, -0.5086358785629272, -0.23760801553726196, 0.914985716342926, 0.7613422274589539, -0.7887668609619141, 0.6220570206642151, 0.0636851117014885, -0.019139520823955536, -0.9654437899589539, 1.0373729467391968, 0.9162703156471252, -0.057580702006816864, 0.31825023889541626, -0.5493449568748474, -0.3527279496192932, 0.5994422435760498, 0.15112729370594025, -0.6656119227409363, -0.5140583515167236, 0.8503963351249695, -0.3963111639022827, 0.283191978931427, 0.08947910368442535, 0.4665680527687073, -0.15582001209259033, 1.1661990880966187, 0.17319223284721375, -1.609783411026001, 0.343229740858078, -0.8844926357269287, -0.5099581480026245, 1.2548892498016357, -0.21822774410247803, 0.17800599336624146, 0.432086318731308, -0.015139765106141567, -0.7223842144012451, 0.35370615124702454, -0.2437320202589035, 1.2360795736312866, -0.19196748733520508, -0.8523565530776978, 0.2862066328525543, -0.8338956832885742, 0.2045345902442932, -0.724621057510376, 0.05873526260256767, 0.6295748353004456, -0.609078586101532, -0.6587775945663452, -0.1450481116771698, -1.239173173904419, -0.057828664779663086, -0.7552037835121155, -0.8440477252006531, 0.029672350734472275, -0.3588816225528717, -0.3725694417953491, -1.198851227760315, 1.1510605812072754, -0.21794040501117706, 0.6952120661735535, -0.6986075639724731, 0.9544504880905151, -0.5254563689231873, -0.2492251992225647, 0.1767490804195404, 0.7053987979888916, 0.11469824612140656, -0.3172991871833801, -0.12057406455278397, 2.261673927307129, -1.5777101516723633, -1.2207111120224, -1.0927176475524902, -0.02824316918849945, -0.010112583637237549, -0.25003769993782043, 1.1518919467926025, 0.36502155661582947, 0.058802422136068344, -0.20219294726848602, -0.31773656606674194, 0.21091409027576447, 0.0864538922905922, -0.6248326301574707, -0.5336023569107056, -1.389775037765503, 0.5544102191925049, -0.5946503281593323, 0.4536716639995575, 1.1464507579803467, -0.22742480039596558, 0.06949340552091599, 0.41560667753219604, 0.428835928440094, -0.7335037589073181, -0.6687743067741394, -0.6064004302024841, -0.821295976638794, 0.4069766402244568, -0.5206140279769897, -0.07609785348176956, 1.336029291152954, 1.9699110984802246, -0.3346883952617645, -0.5183688998222351, 0.5379144549369812, -0.2707463800907135, 0.23000340163707733, -0.05151430517435074, 0.2970154285430908, 0.5531301498413086, -1.1306153535842896, 0.0882456824183464, 0.1794014871120453, 0.3277897238731384, -0.9339383244514465, -0.30811259150505066, -0.7527890801429749, -0.560786247253418, 0.3656303584575653, -0.07649528980255127, 1.2275310754776, 0.2662120461463928, -0.5546972751617432, -0.7700546383857727, 1.2308467626571655, -0.6168004870414734, 0.2895835041999817, -2.0281994342803955, -3.0573055744171143, 0.2908785343170166, 1.5898762941360474, -0.6859536170959473, -0.31775349378585815, 0.11507192999124527, 0.31435641646385193, -0.6511331796646118, -0.40263718366622925, -0.42847979068756104, -0.07872229069471359, -0.06110547482967377, 0.9570512175559998, 0.5036864876747131, -0.03471638262271881, 0.5387783646583557, -1.3327456712722778, 1.0103967189788818, -0.07238656282424927, -0.24253913760185242, -0.7638532519340515, -0.5190860033035278, 0.616127610206604, 0.5700810551643372, -0.1070212721824646, 1.0598530769348145, 0.218477264046669, -0.308982789516449, 0.5319132208824158, -0.40482097864151, -0.5414453148841858, -0.4246044456958771, -0.11738481372594833, 0.18547147512435913, -0.9164562821388245, 0.19050812721252441, -0.24488478899002075, -0.8641161322593689, -0.3456292152404785, -8.64622974395752, -0.6136443614959717, -0.22396574914455414, -0.5456663370132446, 1.0500963926315308, 0.3558441400527954, 0.692156970500946, -0.3891320824623108, 0.3790644407272339, 0.1354023516178131, 1.4070628881454468, 0.01905296929180622, -0.013715825974941254, -0.7934247255325317, 0.6179884076118469, -0.3760455548763275, 1.0086778402328491, -0.10206995904445648, 0.5459201335906982, -0.4185001254081726, -0.4350491464138031, -0.5970730185508728, -0.03731202706694603, -0.08477255702018738, 1.568228840827942, -0.6916791200637817, 0.012818165123462677, -1.0398198366165161, 1.177323341369629, 0.40359705686569214, -0.03794735670089722, 1.268781304359436, 1.251917839050293, -0.10050651431083679, 1.167389988899231, -0.6587361097335815, 1.2280765771865845, 0.8384396433830261, -0.2602441906929016, -0.6819216012954712, 1.1006845235824585, -0.4447918236255646, 0.22229616343975067, -2.3592073917388916, -0.560593843460083, 0.3266940414905548, -0.1425023376941681, -1.845212459564209, 0.4068058729171753, 0.1696913242340088, -0.6004412770271301, 1.8093774318695068, 0.9913728833198547, 1.2796317338943481, -1.5846631526947021, 0.15049174427986145, -1.5012377500534058, 0.26240450143814087, -1.8893394470214844, -0.26862016320228577, 0.046955715864896774, 0.19882391393184662, 0.7577820420265198, -0.766622006893158, -0.35339757800102234, 0.3781351149082184, -0.33561497926712036, -0.4392402172088623, 0.6407259702682495, 0.23725338280200958, -0.17848223447799683, -0.6395334601402283, -1.3114672899246216, 0.24577908217906952, -0.08371555805206299, -0.37223324179649353, 0.5214720368385315, 0.8030929565429688, -0.1249411329627037, -0.16924969851970673, 1.4447715282440186, -0.26900988817214966, 0.6762681007385254, -0.37782859802246094, -0.633725643157959, -0.6022249460220337, -0.5292469263076782, -0.315746545791626, 0.6681073307991028, 0.01065036654472351, -0.6381920576095581, -0.2034538835287094, 0.09874892979860306, 0.17044110596179962, -0.6401709318161011, -0.173684224486351, 0.18840159475803375, -0.44347822666168213, 0.6547306180000305, -0.48592814803123474, -1.9341330528259277, 0.330768883228302, -0.2976086139678955, 0.31533560156822205, 0.08451300114393234, 0.7221605777740479, -0.5216062664985657, 0.17410790920257568, 0.32058677077293396, -0.07682536542415619, -0.7810797691345215, 1.0713504552841187, -0.9023898243904114, -0.033467575907707214, 0.35548579692840576, -0.3226231336593628, -0.2580864429473877, -0.20197288691997528, 0.14640173316001892, 0.8461059331893921, -0.5184818506240845, 1.2767858505249023, -1.6178697347640991, -1.506932258605957, -0.4223726987838745, 0.35205137729644775, 1.9251211881637573, -1.050449013710022, 0.5588354468345642, 0.856627881526947, 0.5451602339744568, -1.2184761762619019, -0.8692302107810974, -0.6428614854812622, -0.6750771999359131, 0.15700294077396393, -0.6509017944335938, -0.27161383628845215, 0.13308891654014587, 0.05481322854757309, 1.369997501373291, 0.14095576107501984, -0.14629602432250977, 0.015670401975512505, -0.37293705344200134, -0.022140121087431908, -1.1428288221359253, 0.4843035340309143, -0.17793895304203033, -0.4003366529941559, -0.10632908344268799, -0.3914894461631775, -0.10863316804170609, 0.998995840549469, 0.41476771235466003, 0.30329132080078125, -0.6485300660133362, 0.42586153745651245, 0.34421318769454956, -0.5139954090118408, -0.35625579953193665, 0.6707617044448853, 0.46399906277656555, 0.02728542871773243, 0.02549893781542778, -0.85014808177948, 0.611301064491272, 0.3518759608268738, -1.585378646850586, -0.4876171946525574, 0.8029330372810364, 0.6882145404815674, -0.2684606611728668, -0.78069007396698, 0.12243420630693436, 0.5498897433280945, 0.35107097029685974, 0.2863011360168457, -0.3119015693664551, -0.7155649065971375, -0.4889076352119446, 0.46643558144569397, 0.5362428426742554, -0.9098727107048035, 0.002280698623508215, 0.8839776515960693, -0.2963806986808777, -0.9868772029876709, 0.8802429437637329, -0.7499939799308777, -0.6309429407119751, -0.1969873011112213, -0.37293440103530884, 0.09013761579990387, -0.48531731963157654, 0.3426114618778229, -0.45542773604393005, -0.2550126016139984, 1.1655480861663818, 0.09330186992883682, 0.36559945344924927, -0.2707888185977936, 1.1651344299316406, -0.16714130342006683, 0.4679381251335144, 0.9504658579826355, 0.25081387162208557, -0.5093513131141663, -0.4662143588066101, 0.31427448987960815, -0.28788861632347107, -0.3706444501876831 ]
108
0704.0110
Debashish Goswami
Debashish Goswami
On Equivariant Embedding of Hilbert C^* modules
revised substantially, by correcting a wrong argument, pointed out by an anonymous referee (thanks to him/her for this!)
null
null
null
math.OA
null
We prove that an arbitrary (not necessarily countably generated) Hilbert $G$-$\cla$ module on a G-C^* algebra $\cla$ admits an equivariant embedding into a trivial $G-\cla$ module, provided G is a compact Lie group and its action on $\cla$ is ergodic.
[ { "created": "Mon, 2 Apr 2007 00:46:51 GMT", "version": "v1" }, { "created": "Mon, 23 Jul 2007 19:16:25 GMT", "version": "v2" } ]
2007-07-23
[ [ "Goswami", "Debashish", "" ] ]
07
[ 0.21315285563468933, 0.5003581047058105, 1.994118094444275, -0.2508077025413513, 0.36543360352516174, 0.18103547394275665, 0.6382757425308228, 0.27208980917930603, -1.5548089742660522, 0.8416644334793091, 0.7807607054710388, 0.4396154284477234, -0.31084728240966797, -0.43873849511146545, -0.4352896213531494, -0.4371452033519745, 0.1356237232685089, -0.9083564281463623, -1.1559388637542725, -1.1934609413146973, -0.008133110590279102, 0.7595910429954529, -0.12180588394403458, -1.1894233226776123, -0.8748877644538879, 0.17590710520744324, -0.8076815605163574, 0.2124292403459549, -0.9334321618080139, 1.0683350563049316, -0.02039242535829544, -0.051835931837558746, -0.31415605545043945, -0.4150080978870392, -0.5189181566238403, -0.22065973281860352, -0.5101948976516724, -0.2142883688211441, -1.2265770435333252, -0.38326263427734375, 1.2305583953857422, -0.3044276833534241, 0.816839873790741, -0.25700071454048157, -1.9201494455337524, -1.0417338609695435, 0.9470394253730774, -0.4874096214771271, 0.5291813611984253, 0.24606798589229584, -1.2108433246612549, -0.5370606780052185, 1.2162052392959595, -1.1494389772415161, 0.21279823780059814, 0.046623263508081436, -0.8469407558441162, -1.349449872970581, 1.1226578950881958, 0.3725467622280121, -1.120840311050415, 1.2187530994415283, 0.6348252296447754, 0.9604134559631348, 0.24825093150138855, -0.5633629560470581, 0.5422454476356506, 1.3939688205718994, -0.16027362644672394, 1.1496260166168213, 0.3158433139324188, -0.5393852591514587, -1.0092109441757202, -1.160900592803955, -0.13129058480262756, -0.4125286340713501, 1.4854087829589844, 0.03891422599554062, 1.2346745729446411, -0.6033315658569336, 1.0454069375991821, 0.3386130928993225, -0.3999505043029785, 0.5256943702697754, -0.4125891327857971, -0.29588204622268677, 0.8568544387817383, 0.4012892544269562, 0.003074308391660452, 0.12772034108638763, 1.0764398574829102, 0.9986575841903687, 1.1720727682113647, 0.2447759509086609, 0.08044794201850891, -0.137974351644516, -0.1631166934967041, -0.6830306053161621, 0.11881822347640991, -0.6987534761428833, 0.006185685284435749, -0.08378346264362335, 0.18612022697925568, -0.4255979359149933, -0.19618991017341614, 0.28234753012657166, -0.47630128264427185, -0.43499821424484253, -0.36108556389808655, -0.28058961033821106, -0.5705792307853699, -0.5228686332702637, -0.3199094235897064, -0.47408902645111084, -1.969768762588501, 1.450745940208435, -1.3542900085449219, 0.5987580418586731, -0.3440454602241516, -0.7290516495704651, -0.3743118941783905, -0.23521220684051514, 1.3495560884475708, 0.32576659321784973, -0.5280485153198242, 0.9307641386985779, -0.23528048396110535, -0.20591560006141663, -0.7647424936294556, 0.27007508277893066, -0.41156110167503357, 0.0306650772690773, -0.8725080490112305, -0.7179180979728699, 0.9312429428100586, 0.6073073148727417, -0.9765192866325378, 1.0703561305999756, -0.10226339846849442, -0.38335925340652466, 0.23581963777542114, 0.2177293449640274, -0.06096268072724342, -0.018982132896780968, 0.46772703528404236, -0.09239872545003891, 0.19277571141719818, 1.020049810409546, 0.7245506048202515, -0.8023507595062256, -0.3117334544658661, 0.48496031761169434, 1.5238556861877441, -0.6645457744598389, 0.43133771419525146, -0.6889476180076599, -0.09828251600265503, 0.32049766182899475, -0.747633695602417, -0.48798632621765137, -0.09306331723928452, -1.042704463005066, -1.2555490732192993, -0.2795111835002899, -0.2590874433517456, 0.2749766707420349, 0.12586218118667603, -0.7349013686180115, 0.6462727189064026, 0.6677534580230713, -0.2804045081138611, 1.5482147932052612, 0.3416561484336853, 0.4877431392669678, -0.023005926981568336, 0.03808749094605446, -0.02413959614932537, 0.4919591248035431, 0.12439414113759995, -0.8682917952537537, -1.3059343099594116, -0.2723691761493683, -1.0809065103530884, 1.893523097038269, 0.4656253159046173, -0.7900799512863159, 0.8132303357124329, -0.9988492727279663, 0.13442088663578033, -0.7612960934638977, -0.3042386770248413, -0.9283957481384277, -0.7854821681976318, -0.7815148234367371, -0.04520071670413017, 0.127744659781456, 0.5510537624359131, 0.29753413796424866, 0.6993279457092285, -0.1803201287984848, -0.6311882138252258, -0.8770652413368225, -0.3797101676464081, 1.7311164140701294, -1.1498727798461914, -0.03319260850548744, 0.44944316148757935, 0.37603792548179626, 0.7074488997459412, 0.4346717596054077, 0.6788503527641296, 0.3146679997444153, -1.0436495542526245, -0.9193239212036133, 1.7358677387237549, -1.414123296737671, -0.3220610022544861, 0.0778815820813179, -0.29113665223121643, 0.4797878861427307, -1.0641229152679443, 0.7478880286216736, 0.39742738008499146, 0.3936159014701843, -0.9371514916419983, 1.443993091583252, 1.0488537549972534, -0.5476465225219727, -0.18248653411865234, -0.14828644692897797, -0.4962933659553528, -1.2352157831192017, 0.3816603720188141, -0.4694629907608032, -0.022081976756453514, -1.506591558456421, 0.5203821063041687, -0.5080454349517822, 0.47676926851272583, 1.0907773971557617, -0.16590556502342224, 0.7898243069648743, -0.30170169472694397, 0.6967136859893799, -0.6056119203567505, 0.12512582540512085, 1.4036245346069336, 0.0851256474852562, 0.7591148018836975, 0.138286292552948, -0.2705076336860657, 0.7012354731559753, -0.9986031651496887, 0.6502202749252319, -0.10215479880571365, 0.4580712616443634, -0.5880040526390076, -1.3320868015289307, -1.7870374917984009, 0.005109138321131468, -1.3838101625442505, -1.3162851333618164, 0.13775429129600525, 1.820844292640686, 0.09961245208978653, -1.1467455625534058, 1.2147166728973389, -0.4536142647266388, -0.5292683243751526, 0.036327559500932693, 0.33812662959098816, 2.715329647064209, 0.30039894580841064, 0.7950472235679626, -0.606946587562561, -0.08125696331262589, -0.6418766975402832, -0.6505187749862671, -0.4953174591064453, -1.3971449136734009, -0.21802040934562683, 2.506789445877075, -1.182603120803833, 0.6704776287078857, 0.03789382055401802, -0.23882320523262024, -0.5764120221138, 1.2619496583938599, 0.8038942813873291, 0.43948104977607727, 0.5025186538696289, -0.4603506028652191, -0.5433025360107422, -0.1336355358362198, -0.7258356809616089, 0.6610437631607056, -1.7728596925735474, -0.968445897102356, -0.632815420627594, -0.37368184328079224, -0.9401385188102722, -0.8298326730728149, 0.7475625276565552, 0.37626856565475464, -0.4975736737251282, 0.207591712474823, -0.7258601784706116, 0.14310802519321442, -0.9402808547019958, -0.3140747547149658, -0.27259400486946106, 0.3332423269748688, 0.5854060053825378, 0.661984384059906, -0.36757692694664, 0.7303791046142578, -0.5545652508735657, 0.07866528630256653, 0.3244996666908264, 0.5615723729133606, 0.35451292991638184, 0.6550838947296143, 2.1452383995056152, -0.3171166777610779, 0.6675100326538086, -0.18114088475704193, 0.225152388215065, -0.4630427658557892, 0.6279399991035461, -0.20733551681041718, 0.658117413520813, -0.16122262179851532, 0.3876040577888489, 0.3799362778663635, -0.7045470476150513, -1.1912376880645752, 0.23157058656215668, 0.6576537489891052, 0.30055558681488037, -0.17669525742530823, 0.24411462247371674, -0.12519268691539764, -0.6585221886634827, -1.0454031229019165, 0.6061851382255554, 0.36397919058799744, 0.2480963170528412, 0.361892431974411, -0.5507732033729553, -0.25794410705566406, 0.8931354284286499, -1.4971553087234497, -0.5107226967811584, -0.62122642993927, 0.5670626163482666, 0.42745518684387207, 0.6529154181480408, 0.6727755069732666, 0.4452519416809082, 0.3806529641151428, -0.6299166083335876, 0.8732258081436157, -0.3056706488132477, -1.7971121072769165, 0.9401775002479553, 0.402615487575531, 1.5129423141479492, -0.6103945970535278, 0.12408455461263657, -0.6857089996337891, -1.6940134763717651, 1.109156847000122, -0.17917974293231964, -0.4403526782989502, -0.48922601342201233, -0.03618919849395752, 0.04036099091172218, -0.19871774315834045, 1.4508088827133179, -0.7468184232711792, -1.0598622560501099, -0.20746362209320068, 0.7481220960617065, -0.4769003093242645, -0.6403696537017822, -0.7789461612701416, 0.06299497187137604, -0.4280662536621094, -1.1113855838775635, 0.1943666785955429, 0.33678585290908813, 0.2686628997325897, 0.44178080558776855, -0.1744786649942398, -0.6470522284507751, 0.4598778486251831, -0.15130217373371124, -1.360222578048706, -0.1286451518535614, 0.9328252673149109, -0.15600590407848358, -0.19523948431015015, -0.7278971076011658, 0.285083144903183, 1.0810481309890747, 0.6307500004768372, -1.276414394378662, 0.47547999024391174, -1.061143159866333, -0.10336295515298843, -0.7348671555519104, 0.9752975702285767, -0.02033388614654541, -0.21997934579849243, -0.7435345649719238, 0.5823961496353149, 0.0732041522860527, -0.8336122632026672, 0.7145547270774841, -0.1364366114139557, -0.4322931468486786, -0.254627525806427, 0.4775899648666382, 2.3924994468688965, 0.33039483428001404, -0.1654398888349533, -1.8532270193099976, -0.8058731555938721, -0.6250321865081787, 0.10107088088989258, 0.8017352223396301, -0.37319985032081604, -0.12598182260990143, -0.07954532653093338, 0.7593964338302612, 0.4783462584018707, 0.0014619401190429926, 0.7239989638328552, -0.46063947677612305, -0.02711757831275463, -0.7565885782241821, 1.1656877994537354, 0.21335025131702423, 0.1232202798128128, 0.7457349896430969, -1.562264323234558, 0.2635258436203003, 0.5962647795677185, 0.4757094979286194, 0.161972314119339, 0.8606361746788025, -0.6543281078338623, 0.027233267202973366, -0.42401596903800964, -0.2966553568840027, -0.7020053267478943, 0.10361570119857788, -0.17338654398918152, 1.840059757232666, 0.5732980966567993, 0.2599650025367737, 0.10802235454320908, 0.9518523216247559, -1.265723466873169, -0.2204289734363556, 0.7395017743110657, 0.3843877911567688, -0.14015471935272217, 0.743086040019989, 0.8395709991455078, -0.9177290201187134, -1.068682312965393, -0.39151203632354736, 0.18806777894496918, -0.6560110449790955, -0.7665734887123108, -0.7487112879753113, 0.7094465494155884, 0.840407133102417, -0.0961269810795784, 2.8271727561950684, 0.005130397155880928, 0.8058336973190308, 1.443689227104187, -0.35145410895347595, 0.8620373606681824, -1.23356032371521, -0.05526718497276306, 0.006233793217688799, -0.05122513696551323, 0.6194392442703247, -0.3516257107257843, 0.3531952202320099, -1.032407283782959, -1.7441309690475464, 0.8440456986427307, -0.7858911156654358, -0.564099907875061, -1.0880204439163208, 0.391758531332016, -0.8258039355278015, -0.14413774013519287, -0.9664708375930786, -0.15925240516662598, -1.9417176246643066, 0.2911759614944458, -0.34032610058784485, 0.7787722945213318, -0.37382346391677856, 1.2924563884735107, -0.7446399927139282, -0.6628814935684204, -0.0016587197314947844, 0.21766173839569092, -0.3094885051250458, -0.943710446357727, 0.6160085201263428, -2.1216366291046143, 0.12987291812896729, 1.8449876308441162, 1.1046137809753418, -0.4270237684249878, 0.018754195421934128, 0.43947601318359375, -0.1037382036447525, 0.26807525753974915, 0.11918086558580399, -0.8575010299682617, -1.0304620265960693, -0.5806599855422974, 0.3113854229450226, 1.2513597011566162, 0.15599657595157623, 0.3950377404689789, 1.060375452041626, 1.2199667692184448, -0.4929385185241699, 0.6361067891120911, -0.8053417801856995, 0.20488636195659637, 0.5437828898429871, -1.5586999654769897, -0.2178112417459488, -1.4893310070037842, -0.2816154360771179, -0.07805290818214417, -0.8472782969474792, 0.3119336664676666, -0.44734689593315125, 0.7962097525596619, -0.6786800622940063, -0.21351966261863708, 1.0680043697357178, 0.5399786233901978, 0.10315851122140884, 0.9272266030311584, -6.342690467834473, -0.45311492681503296, -0.3199821710586548, 0.299559086561203, 0.4249502718448639, 0.24126280844211578, -0.5853955745697021, -0.591268002986908, -0.6203026175498962, 0.27403339743614197, -0.15290620923042297, 0.4417155086994171, -1.1592601537704468, -0.43608859181404114, -0.5847340822219849, -0.43061941862106323, -0.34397464990615845, 0.5935065150260925, -0.06875578314065933, -1.0536764860153198, 0.5597581267356873, 0.002563103102147579, 0.05016450956463814, -0.16358983516693115, 0.44796234369277954, -0.6174365282058716, 0.22126616537570953, -0.052157845348119736, -0.39104774594306946, -0.12680020928382874, -0.5635846257209778, -0.21951864659786224, -0.21479052305221558, 0.22616054117679596, -1.2998138666152954, 0.20574241876602173, 0.6148897409439087, 0.31822124123573303, -0.5132803916931152, -0.6028527617454529, 0.31280380487442017, -0.5742559432983398, -1.1832027435302734, -0.17642952501773834, 0.5923086404800415, -0.8679922223091125, -0.009058406576514244, 0.45147567987442017, 0.20012599229812622, -1.1977874040603638, -0.3262007236480713, 1.0039368867874146, 0.8710554838180542, 1.1894652843475342, -0.060807004570961, -0.763582706451416, -0.7111227512359619, -0.9431265592575073, -1.1928892135620117, 0.6149839758872986, -0.5161109566688538, -0.9337255954742432, 1.010908603668213, 0.9699681401252747, -0.16595576703548431, 0.33222097158432007, -0.8926368355751038, -0.943386971950531, -0.178425595164299, 0.09610175341367722, -1.312049388885498, 0.032340798527002335, 0.6321365237236023, 0.1756911724805832, -0.8446927666664124, 0.04571789130568504, -0.38498222827911377, 1.8649179935455322, 0.13990063965320587, -0.9119774699211121, -0.48111701011657715, 0.4543461501598358, -0.4850956201553345, 0.08296550810337067, -0.42899951338768005, 0.17058204114437103, 0.11636368930339813, 0.22065092623233795, 0.7951707243919373, -0.35646846890449524, -0.454242467880249, 0.38820329308509827, -0.2817586064338684, -0.9443867206573486, 0.27773240208625793, -0.36656486988067627, -0.1931953877210617, 0.7230373620986938, -1.5013281106948853, 1.3113889694213867, 0.6776114106178284, 0.8111689686775208, 0.5791804790496826, 0.19877393543720245, 1.5126807689666748, -0.5528283715248108, -0.18368256092071533, 0.2929750382900238, -0.13262511789798737, 0.7290987968444824, -0.5257571339607239, -0.37967392802238464, -1.0773231983184814, -0.17225299775600433, 0.4873100817203522, 1.4931801557540894, -0.5974732637405396, -0.07731582224369049, 0.3915608823299408, -0.0819285437464714, 1.4276777505874634, -1.442854642868042, -1.505465030670166, 0.9346336126327515, 0.5806779861450195, -0.46116945147514343, -2.062978982925415, 0.059144526720047, -0.5535605549812317, -0.01831287145614624, -0.2076602578163147, 0.27649202942848206, -0.2135879397392273, 0.6018049120903015, -0.964103102684021, -0.36989349126815796, -0.9130435585975647, -0.990261435508728, -0.8892069458961487, -0.459138423204422, -0.3051523268222809, -0.8369150757789612, -0.5188806056976318, 0.5134001970291138, -0.6359784007072449, -0.47104769945144653, -0.15372970700263977, -0.5745497941970825, 0.24794316291809082, 1.2879139184951782, 0.45529383420944214, 0.6432326436042786, 1.0041441917419434, -0.6615579724311829, 0.08860935270786285, 0.6648005843162537, -0.2599782347679138, -1.1306953430175781, -0.609224796295166, 0.05858476832509041, 1.5550984144210815, 0.11408140510320663, 1.2710040807724, 0.2459409534931183, 0.05497531592845917, -1.6421904563903809, -0.5444009900093079, 0.2467903047800064, -1.521826148033142, 0.10481946170330048, 0.4389623999595642, 0.33168888092041016, 0.1481403112411499, -0.23747289180755615, 0.26112550497055054, -0.4128235876560211, -0.9451634287834167, 0.20917068421840668, 0.40298569202423096, -0.9650360345840454, -0.4766820967197418, -1.848863124847412, 0.15076448023319244, 0.6781967878341675, 0.0961449146270752, -0.022200865671038628, 0.3370608389377594, 0.6049681305885315, 0.2587549090385437, 0.0667257010936737, -0.3227272033691406, -0.3234740197658539, 0.14709123969078064, -0.3388051390647888, 1.0317476987838745, 0.03590730205178261, 0.8504688739776611, -0.4851249158382416, 0.2545005977153778, 1.6861279010772705, 0.16110125184059143, -0.031921058893203735, -0.1056906133890152, -0.36428102850914, 0.4863864779472351, -0.3276004493236542, -0.4542761743068695, -0.5814017057418823, 0.094098761677742, -0.5377804040908813, -0.2934143543243408, -0.97965008020401 ]
109
0704.0111
Debashish Goswami
Debashish Goswami
Invariance and the twisted Chern character : a case study
to appear in the proceedings of the conference `Traces in Geometry, Number Theory and Quantum Fields' held in MPI (Bonn), 2005.
null
null
null
math.QA math.KT
null
We give details of the proof of the remark made in \cite{G2} that the Chern characters of the canonical generators on the K homology of the quantum group $SU_q(2)$ are not invariant under the natural $SU_q(2)$ coaction. Furthermore, the conjecture made in \cite{G2} about the nontriviality of the twisted Chern character coming from an odd equivariant spectral triple on $SU_q(2)$ is settled in the affirmative.
[ { "created": "Mon, 2 Apr 2007 00:53:38 GMT", "version": "v1" } ]
2007-05-23
[ [ "Goswami", "Debashish", "" ] ]
07
[ -0.5451262593269348, -0.32810649275779724, 0.5900202393531799, 0.6184658408164978, 0.08865637332201004, 0.5172190070152283, -0.1690988838672638, -1.428655982017517, -2.0852973461151123, -1.0636718273162842, -0.02037765458226204, 0.47682318091392517, 0.9600854516029358, -1.4125605821609497, 0.10814246535301208, 0.40174734592437744, -1.6162201166152954, -1.7336006164550781, -0.7353622317314148, -0.4979623556137085, -0.3202561140060425, 0.8054667115211487, -0.4114043712615967, -1.5888665914535522, -0.8534797430038452, 0.92153000831604, -0.19353386759757996, 1.1558516025543213, -1.2060661315917969, -0.2483436018228531, -0.9551960825920105, -0.0736386850476265, -1.4750332832336426, -0.48656192421913147, -0.2433561384677887, 0.03962095081806183, -0.10828281193971634, -1.0224759578704834, 0.27034619450569153, -0.5527665019035339, 0.963803231716156, -0.8680127859115601, -1.0242503881454468, -0.30094459652900696, -0.7866480350494385, -0.29771003127098083, -0.05183214694261551, -0.2882331311702728, 0.6910414099693298, 0.24274975061416626, -0.029198074713349342, 0.31069308519363403, 0.60039222240448, -0.0323188453912735, 0.491176962852478, 0.9187934994697571, 0.36379683017730713, 0.23303058743476868, -0.7560199499130249, -0.833221971988678, -0.3696046769618988, 0.3381645977497101, 0.1007547527551651, 0.2432089000940323, 1.1134616136550903, -0.20008985698223114, -1.1162242889404297, -0.9412240982055664, 0.4629504978656769, 0.32208654284477234, 0.8468989133834839, 1.0777366161346436, -0.24146142601966858, -0.3620539605617523, 0.7229725122451782, -0.9096914529800415, 0.7902278304100037, -1.0133321285247803, 0.6817018389701843, 1.7223409414291382, -0.41403424739837646, 0.18720892071723938, -0.7278686761856079, -0.18153789639472961, -0.4138721525669098, -0.9685715436935425, 0.8139927983283997, 1.2844470739364624, -0.6069540977478027, -0.37274685502052307, 0.31445884704589844, -0.1414843499660492, 0.5013511180877686, -0.6215249300003052, -1.0965737104415894, -1.6866719722747803, 0.7592536807060242, -0.8932489156723022, -0.8094227910041809, -0.38968855142593384, -0.010270796716213226, -0.9288181662559509, -0.058438751846551895, 0.8128075003623962, -0.23507331311702728, 0.2780817151069641, 0.023356545716524124, 0.8648067712783813, 0.5163376331329346, -0.2550866901874542, 0.40803492069244385, -1.9420262575149536, 0.2808263301849365, -1.9082467555999756, -0.8298540115356445, 0.9415645003318787, -0.18118137121200562, -0.20255796611309052, -0.282646119594574, 0.2406153529882431, -0.9365391731262207, 0.09867816418409348, 1.8435487747192383, 0.8043860197067261, 0.7280056476593018, 1.5712610483169556, 1.3049557209014893, 0.19295385479927063, -0.30890896916389465, -1.1815688610076904, -0.2183186411857605, 0.634861409664154, 0.061836641281843185, 0.46623921394348145, 0.5416017770767212, 1.9801959991455078, -0.9789273142814636, 0.25813591480255127, -0.7317405939102173, 1.1503920555114746, 0.4076644480228424, -0.4076771140098572, -0.4727092385292053, 0.5836144089698792, 0.38127049803733826, -0.4749501645565033, 0.6821421980857849, 0.4018804430961609, 1.6463977098464966, -0.6161710023880005, 0.31935280561447144, -0.337650328874588, 0.5651814937591553, -1.0022765398025513, 0.1815042942762375, -0.9862554669380188, -0.2998003661632538, 1.2327218055725098, -0.5072336792945862, -0.23188720643520355, 0.4774147570133209, 0.6220464706420898, -0.35237520933151245, -0.7242095470428467, -0.20966099202632904, 0.1091267392039299, -0.5410839319229126, -0.3618561625480652, 0.9952638149261475, 1.4206751585006714, 0.3305601179599762, 0.2569865882396698, -0.07167844474315643, -0.5856563448905945, 1.2270680665969849, -1.0048191547393799, -0.04940712824463844, 0.6649499535560608, -0.08627640455961227, 0.8646684885025024, -0.7361697554588318, -1.4700870513916016, -0.03511786833405495, -0.007573938928544521, -0.19074928760528564, -1.3673081398010254, 1.0969325304031372, -1.1788009405136108, 0.1339808851480484, 0.33106642961502075, -0.40142202377319336, 0.46457046270370483, -1.90784752368927, -0.25095731019973755, -0.18132497370243073, 1.327988862991333, 0.9213179349899292, -1.3154547214508057, -0.03645194321870804, 1.087019681930542, -1.0762217044830322, 0.8964276313781738, -0.3929142653942108, 0.20925414562225342, 0.2592221200466156, 1.488327145576477, 0.9499477744102478, 0.3623153567314148, -0.388383150100708, 0.964188277721405, 0.9736552834510803, 0.24408237636089325, 0.1715269535779953, -0.8007467985153198, 0.8540156483650208, -0.02771376632153988, 0.07904414087533951, -0.40425291657447815, -0.3115210235118866, 1.0074533224105835, 0.34343963861465454, 0.776663601398468, -0.5636353492736816, 0.6469018459320068, 0.47310465574264526, 1.8649311065673828, 0.24097539484500885, -0.3405627906322479, -0.05540720373392105, -0.11352644860744476, -0.855057418346405, -0.733587920665741, -1.0616819858551025, 0.08061058074235916, 0.17909617722034454, -1.3594911098480225, 0.8092101216316223, -0.553048849105835, 0.027674781158566475, 0.5536786913871765, -1.2012112140655518, 1.0372931957244873, -0.8017933368682861, -0.4337639808654785, 0.5550798177719116, -0.3028854727745056, 1.4594030380249023, -0.4125165641307831, -0.5872511267662048, 0.7445065975189209, 0.15420053899288177, -0.48574304580688477, -0.18800237774848938, -0.8072426915168762, 0.9972689747810364, 0.14934998750686646, 0.08026190847158432, -0.4052368104457855, -1.1316072940826416, 0.22716911137104034, -0.40215086936950684, -0.19364923238754272, -0.7396965026855469, 0.5180953741073608, 0.11216256022453308, -0.552362322807312, 1.0878361463546753, 0.09957657009363174, 2.3841724395751953, -1.5960752964019775, 0.23759709298610687, 1.863294005393982, 0.49897149205207825, -0.8818849921226501, -0.3386177718639374, -0.3823387920856476, -0.08504095673561096, -0.8770449161529541, -0.31251028180122375, -0.04636787250638008, -0.1184302270412445, 2.6151790618896484, -1.2131099700927734, 1.4646750688552856, -0.9028875231742859, 0.0667291060090065, -1.012725830078125, -0.08991586416959763, 0.6989466547966003, -0.05573296546936035, 0.8661603331565857, 0.18567658960819244, -0.09670137614011765, -0.17104187607765198, -1.653488039970398, -0.6756089925765991, -0.42430856823921204, -0.6530406475067139, -0.22789038717746735, -0.5820032358169556, -2.088714122772217, -0.1433229148387909, -0.005120292771607637, 0.35386261343955994, -0.3815465271472931, 0.322990745306015, 0.7658945322036743, 0.43654757738113403, -0.40384039282798767, 0.40771540999412537, -1.909293293952942, -0.20789071917533875, 0.22370988130569458, -0.5728832483291626, -1.0804864168167114, 2.063539743423462, -0.640636146068573, -0.8958179950714111, -0.34919801354408264, -0.9697219729423523, -0.7715125679969788, 0.291289746761322, 1.3306605815887451, -0.29464566707611084, 1.0313612222671509, -0.48444217443466187, -0.19453179836273193, -0.30527418851852417, -0.0035615060478448868, -0.12726886570453644, 0.8630261421203613, -0.837982177734375, -0.4335973262786865, 0.7784735560417175, -0.5066540241241455, -0.820161759853363, -0.343752384185791, 0.4791914224624634, 0.11634980887174606, -0.5293252468109131, -0.7181475758552551, -1.6075972318649292, -0.23889169096946716, -0.37046462297439575, -0.7298532724380493, 0.09709776937961578, 0.4729907512664795, -0.33927518129348755, -1.0140798091888428, -0.086976058781147, 0.13379688560962677, -0.6715666055679321, 1.209860920906067, 0.7960984706878662, 0.6722858548164368, 0.18512022495269775, 0.2526116371154785, 0.6455574035644531, 0.2560237646102905, 0.3257255554199219, 0.40355587005615234, 1.4739264249801636, 1.009852409362793, -0.6298741102218628, 1.0946974754333496, 0.19775724411010742, -0.2116582691669464, -0.6412243247032166, 0.10687462240457535, 0.3695133626461029, -0.6954243779182434, 0.0411488339304924, -0.5706555843353271, 1.4369075298309326, -0.3938719928264618, -0.6522197723388672, -0.18364371359348297, 0.9967538118362427, 1.0997213125228882, -0.29712846875190735, 0.6474063992500305, 0.6171064972877502, -0.09854476898908615, -0.2733255624771118, 0.2642208933830261, -0.6279634833335876, 0.28707316517829895, 0.08450131863355637, 0.33887043595314026, 0.3519449234008789, -0.4573819041252136, -0.05702735856175423, -0.27803459763526917, -0.4447493255138397, -1.1574848890304565, -0.9307800531387329, -0.7203681468963623, -0.3412915766239166, -0.8967043161392212, 2.039560317993164, -0.7824221253395081, -0.8807435035705566, -0.6867775917053223, 0.04321780800819397, 0.43418073654174805, 0.12392377108335495, 0.25118643045425415, 0.12524941563606262, -0.5383013486862183, 0.19779933989048004, -0.32459551095962524, 1.7117654085159302, -1.116467833518982, 0.5725998282432556, -1.3511645793914795, -0.0808916762471199, -0.9788658022880554, -0.8853376507759094, 1.1610679626464844, -0.7244575023651123, 0.20802897214889526, -0.1329159289598465, 0.05308947712182999, 1.0458123683929443, -0.47250422835350037, -0.7586209774017334, -0.8886511325836182, 0.042131152004003525, -0.6865592002868652, -0.2869664430618286, 0.8658674359321594, -0.02459033764898777, -0.7273263335227966, 0.3727717995643616, -1.2141265869140625, 0.346632182598114, 0.7494015693664551, 1.4428884983062744, -0.22193309664726257, -1.1185142993927002, -0.5994977951049805, 1.3575018644332886, -0.38919758796691895, 0.6022617816925049, 1.0602879524230957, -1.348791480064392, 0.08081867545843124, 1.5317102670669556, 0.06831372529268265, -0.2121557593345642, 1.12308669090271, 0.6129244565963745, 0.05226488411426544, 0.260299950838089, 0.33156082034111023, 0.2268638163805008, -0.06601463258266449, 0.46076464653015137, -0.00447861896827817, -0.18390263617038727, -0.05507988855242729, 0.31008297204971313, 0.4548541307449341, -1.9750134944915771, -0.25135448575019836, -0.8880967497825623, 0.7600414752960205, -0.7259000539779663, -0.33819881081581116, 0.5711200833320618, 0.13109062612056732, -0.9481724500656128, 0.8736200332641602, -0.49958112835884094, -0.5170656442642212, -0.9910929799079895, 0.40499693155288696, 0.7477068305015564, 1.0166608095169067, 0.010712187737226486, 1.5646328926086426, 0.47310274839401245, -0.5839410424232483, 0.7834503054618835, -0.5248703956604004, -0.6410419940948486, 0.44483235478401184, -0.2147389054298401, -0.12540508806705475, 0.1476094126701355, 0.8422725796699524, -0.405955970287323, 0.3142528533935547, -0.8631120920181274, -1.4439773559570312, 1.7141145467758179, -0.5459271669387817, -0.8700798749923706, 0.21280941367149353, -0.23012079298496246, 0.03032459318637848, 0.6984754204750061, -0.23938977718353271, -0.11591843515634537, -1.2309247255325317, -0.2481079250574112, -1.2645189762115479, 1.0198687314987183, 0.04798947274684906, 0.4729929566383362, -1.1585885286331177, 0.5432298183441162, 1.115375280380249, 0.16911929845809937, -0.8434705138206482, -0.7888628840446472, -0.20981517434120178, -2.3217992782592773, 0.8083749413490295, -0.04353998601436615, 1.3920105695724487, -0.7458676099777222, 0.280424028635025, -0.4064584970474243, 0.5970492959022522, 0.058356378227472305, -0.32814785838127136, -0.7230167984962463, -1.226828932762146, -0.47650599479675293, 0.21098221838474274, 0.6032381057739258, 1.5282719135284424, 0.19930946826934814, 0.17587706446647644, 1.0081456899642944, 0.5391911864280701, 1.05674409866333, -1.366189956665039, 0.21256475150585175, 0.3282422125339508, -0.3356093466281891, -0.5100506544113159, -1.2764524221420288, -0.5148407816886902, 0.2870718538761139, -0.04175008833408356, -0.37791016697883606, -1.0068923234939575, -0.04054645448923111, -0.22118614614009857, 0.4113408029079437, 0.042590271681547165, 0.07403220981359482, -0.7357966303825378, 1.583528995513916, -6.51735258102417, 0.09667503833770752, -0.1431257277727127, -1.6446675062179565, 0.24013280868530273, 0.25857558846473694, 0.24504354596138, -0.6397337913513184, 0.14582706987857819, 0.7499970197677612, 1.5426552295684814, 0.16703757643699646, -1.3846884965896606, -1.0071063041687012, -1.7222673892974854, -0.7109388113021851, 0.16173499822616577, -0.3106904625892639, 0.6777599453926086, 0.810636579990387, -0.03774568811058998, 1.120890736579895, 0.1081508994102478, -0.33575600385665894, 0.4533660411834717, -0.4357945919036865, -0.08479925245046616, 0.5979029536247253, 0.3029724359512329, 0.2509585916996002, 0.6751425862312317, 0.6787810325622559, 0.11699036508798599, 0.28298357129096985, -0.8292808532714844, 0.5723767280578613, -0.2319355309009552, -0.30614158511161804, 0.10021273791790009, -0.4505416750907898, -0.46249884366989136, -0.07842414826154709, -0.22226554155349731, -0.7690861225128174, -0.7850109338760376, 0.10490477085113525, 0.03530709072947502, -0.15748754143714905, 0.9247320890426636, 0.07055382430553436, -0.656164288520813, -0.40958914160728455, -0.08593808859586716, -0.6257322430610657, 0.2848280966281891, -0.014339623972773552, 0.26922544836997986, -1.2046794891357422, -1.1076678037643433, -0.22434063255786896, -0.39913415908813477, -1.1361777782440186, -0.06354173272848129, 0.312175989151001, -0.9233875870704651, -0.554011881351471, -0.007986094802618027, -0.9931031465530396, -0.3489980697631836, 0.31173861026763916, -0.6502112150192261, -0.42831215262413025, -0.4164622128009796, -0.17012034356594086, -0.485097736120224, 0.10577627271413803, -0.6717171669006348, 0.4005267322063446, -0.06464686244726181, 0.9804547429084778, 1.3110170364379883, -0.29787927865982056, -2.209942102432251, -0.16902656853199005, -0.5562832355499268, -1.6594990491867065, -0.0706586241722107, -1.0307551622390747, 0.3800152540206909, -0.15945608913898468, 0.5950704216957092, 0.178182914853096, -0.7596423029899597, -0.33203643560409546, 0.159188374876976, 0.17054854333400726, -0.6959387063980103, -0.701836109161377, -0.8050118088722229, 1.4070446491241455, -0.7707563638687134, -0.48700258135795593, 0.6297863721847534, 0.32726746797561646, 0.4261438548564911, 1.758631706237793, 1.3472236394882202, 0.7178594470024109, -0.28100156784057617, 0.7004990577697754, -0.9398834705352783, -1.7590820789337158, -0.24890488386154175, -1.0292972326278687, 0.3394865393638611, 0.6028714179992676, -0.8389180302619934, -0.18812406063079834, -0.02204306609928608, -0.5420300960540771, -0.28454720973968506, -0.9700595140457153, -0.0972525104880333, 0.316012978553772, 1.3030319213867188, 0.6237578392028809, -0.7608093023300171, 1.2980419397354126, -0.5352165102958679, -0.09864703565835953, 0.058676619082689285, 0.714226245880127, -0.6000921130180359, 0.05831427499651909, -0.17710217833518982, -0.4478898048400879, -0.03900350630283356, -0.4934512972831726, 0.5700277090072632, -0.11758976429700851, 0.3284648358821869, -1.3964248895645142, 0.5549309849739075, 0.17554906010627747, 0.07371407747268677, -0.5390089154243469, 0.7485077381134033, -0.11158928275108337, 0.7914890646934509, 0.25928986072540283, -0.011025775223970413, 0.055701956152915955, 0.7801255583763123, -0.49763238430023193, -0.07063037902116776, -0.15281729400157928, 0.1795620322227478, -0.21509212255477905, -0.5236060619354248, 0.10626830905675888, 0.14869114756584167, 0.4127891957759857, 0.3011419177055359, 0.6165362000465393, -0.2276807427406311, -0.40035951137542725, -0.9940004348754883, -0.583808958530426, 0.456045001745224, 0.6771141290664673, 0.20151729881763458, -0.06858908385038376, 0.9181445837020874, 0.5867331624031067, 0.7109501361846924, 1.9878742694854736, -1.0780971050262451, -0.4003320038318634, -0.6907222270965576, -0.6984599232673645, 0.3219541609287262, 0.24727612733840942, 0.3988421559333801, 0.3631912171840668, -0.010239292867481709, 0.9342710971832275, -1.0197685956954956, -0.6459428668022156, -0.18504932522773743, 0.18807397782802582, 0.1015729233622551, -0.6619998812675476, -0.3380359709262848, -1.421362042427063, -0.1392706036567688, 0.862791895866394, 0.5104931592941284, -0.6820335984230042, 0.07803317159414291, 0.467643678188324, 0.044016264379024506, 0.7015489935874939, 0.280166357755661, 0.17416270077228546, -0.22098399698734283, 0.8117616176605225, -0.5662409663200378, 0.41801896691322327, 0.022681551054120064, -0.4329453110694885, 0.9651824235916138, -0.6960373520851135 ]
110
0704.0112
Robert P. C. de Marrais
Robert P. C. de Marrais
Placeholder Substructures III: A Bit-String-Driven ''Recipe Theory'' for Infinite-Dimensional Zero-Divisor Spaces
32 pp., 1 fig. Third of 3-part "theorem/proof" exposition of 78-slide Powerpoint from NKS 2006, available at http://wolframscience.com/conference/2006/presentations/materials/demarrais.ppt V2: small fixes, 2 new notes. V3: Added small number of corrections (pp. 8, 15-16), one long remark (pp. 21-22), RE: 2nd type of box-kite flow pattern
null
null
null
math.RA
null
Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches infinite, fractals -- and thereby,scale-free networks. Any integer greater than 8 and not a power of 2 generates a meta-fractal or "Sky" when it is interpreted as the "strut constant" (S) of an ensemble of octahedral vertex figures called "Box-Kites" (the fundamental building blocks of ZDs). Remarkably simple bit-manipulation rules or "recipes" provide tools for transforming one fractal genus into others within the context of Wolfram's Class 4 complexity.
[ { "created": "Mon, 2 Apr 2007 00:56:15 GMT", "version": "v1" }, { "created": "Sun, 8 Apr 2007 14:24:47 GMT", "version": "v2" }, { "created": "Thu, 22 Nov 2007 01:47:45 GMT", "version": "v3" } ]
2007-11-22
[ [ "de Marrais", "Robert P. C.", "" ] ]
07
[ 0.4758240282535553, -0.31539732217788696, 0.36199554800987244, 0.4813154637813568, -0.058640364557504654, -1.3518974781036377, 0.41776320338249207, -0.4114973843097687, 0.16090351343154907, -0.5784409046173096, 0.5193880200386047, 1.1802723407745361, -0.19955532252788544, 0.6567038893699646, -0.04862279072403908, -0.3821324408054352, -0.7083978056907654, -0.3348500430583954, -0.8477463722229004, -1.298378825187683, -0.554714024066925, -0.861102283000946, 0.2443118691444397, 0.1311221718788147, -0.06967312097549438, 1.3049753904342651, -0.0837903693318367, 0.9028515219688416, -1.117703914642334, -0.27016857266426086, -0.6097038984298706, -0.3053053915500641, 0.1915377378463745, 0.19034220278263092, 0.5441873073577881, -0.7908011674880981, -0.8897660970687866, 0.13538770377635956, -1.0919448137283325, 0.6181683540344238, -0.14538486301898956, -0.6092948317527771, -0.3227671980857849, -0.14178824424743652, 0.7875600457191467, 0.6270651817321777, 0.08016267418861389, -0.5167267918586731, 1.071089267730713, -0.1622384637594223, 0.9903304576873779, 0.04368600621819496, -0.3596762418746948, -0.40335333347320557, 0.3337726294994354, 0.45254984498023987, -0.316621333360672, -0.3649134039878845, 0.8447346687316895, 0.06639382243156433, 0.05301253870129585, -0.2570893168449402, -0.1359722912311554, 1.131529450416565, 0.02774840034544468, -0.5877386927604675, 0.36201000213623047, 0.905388355255127, 1.0886062383651733, 1.221152424812317, 0.49183210730552673, -0.9161039590835571, 0.28261110186576843, -0.8742276430130005, -0.821334958076477, 0.1467030793428421, -0.06880085915327072, 0.881858229637146, 0.40940356254577637, -0.6456261873245239, 0.4702255129814148, -0.49431112408638, -1.293725848197937, -0.5788967609405518, -0.026976484805345535, 0.66785728931427, -0.3657159209251404, 0.6055070757865906, -0.4720846712589264, 1.726150393486023, 1.4880414009094238, -0.6854466795921326, -0.4246383011341095, -0.24519190192222595, 0.3530103862285614, -0.10666939616203308, -0.33972448110580444, 0.9906294345855713, -0.22200433909893036, -0.36394593119621277, -0.010507430881261826, 1.0183602571487427, -0.051744647324085236, 0.5278925895690918, 0.2850382924079895, 0.6204875111579895, -0.356641560792923, 0.23591651022434235, 0.47671374678611755, 0.6452934145927429, 0.23866161704063416, 0.04467623308300972, 0.05689859390258789, 0.4228062331676483, -0.4922737181186676, 0.4734970033168793, -0.581824779510498, -0.2030576914548874, -0.10042079538106918, 0.8311072587966919, -0.14559823274612427, 0.4071849584579468, -1.0330162048339844, -0.12761005759239197, -1.0752291679382324, 0.0326862595975399, 0.8895758986473083, 0.09878649562597275, 0.5778564810752869, -0.6042130589485168, 0.3721213638782501, -0.20836679637432098, 0.24437399208545685, -0.843148410320282, -1.337207317352295, -0.28091371059417725, 0.04679371044039726, -0.9454355835914612, 0.06584066152572632, 1.4032602310180664, -0.5563817024230957, 0.2970721125602722, -0.03011774830520153, 0.43945544958114624, 0.6067559719085693, -0.23007570207118988, -0.9308700561523438, -0.26576483249664307, -0.8532131910324097, -0.5977925658226013, -0.06275393813848495, -0.9904971122741699, -0.3609914183616638, 0.997668445110321, -0.45822009444236755, 0.13729940354824066, 0.6011346578598022, 1.0907973051071167, -0.10354559868574142, -0.32984939217567444, -0.6780198216438293, 0.06663848459720612, 1.5452964305877686, -1.2951767444610596, -0.7624446153640747, -0.49429553747177124, -0.34588345885276794, -0.35011598467826843, -0.6309149861335754, 0.289840430021286, 0.7723444700241089, -1.055067777633667, -0.18732112646102905, 0.5322126746177673, 0.9280771613121033, -0.3078009784221649, 0.4181118309497833, 0.6388445496559143, -0.54816734790802, 0.07372032850980759, -1.216921091079712, -0.5509589314460754, 1.1303009986877441, -0.2116609364748001, 0.14419275522232056, -0.08460517227649689, 0.621673047542572, 0.6117368936538696, 0.4543224275112152, -0.7886500358581543, -1.0095432996749878, 0.5873145461082458, -1.8057125806808472, -0.8041183948516846, -0.919564962387085, 0.7927278876304626, -1.7618284225463867, 1.3372894525527954, 0.28150591254234314, 0.17533127963542938, 0.23986110091209412, -0.061044998466968536, -0.608955979347229, 0.0999339148402214, -0.8498748540878296, 0.1393779218196869, 0.039105188101530075, 0.6024434566497803, -0.37356510758399963, 0.006942978128790855, 1.0213041305541992, 0.09995254874229431, 0.1444784700870514, 1.3596477508544922, 0.32881417870521545, -0.004606430884450674, 0.2586272656917572, -0.0681467279791832, -0.8128455877304077, 0.9635198712348938, 0.46120747923851013, 0.5702149271965027, -0.11758614331483841, -0.58029705286026, 0.37358003854751587, -0.9987307190895081, 1.1434874534606934, 0.10345054417848587, 0.14371263980865479, -1.3212145566940308, 1.209122896194458, -1.1314271688461304, -0.4150339961051941, -1.4659353494644165, -0.022386500611901283, -0.30257296562194824, 0.4538470506668091, -0.40146002173423767, -0.21418827772140503, 0.7301429510116577, -0.617725133895874, 0.8428205847740173, -0.9709663987159729, -0.10770349949598312, -0.4954034090042114, 0.28054165840148926, -0.33194100856781006, 1.128563404083252, -0.1404397338628769, -0.4737873375415802, -0.6661902070045471, -0.33712321519851685, -0.19897742569446564, -0.1264454424381256, 0.2516044080257416, 0.7623911499977112, -0.0007917167968116701, -1.1213706731796265, -1.0107935667037964, -0.0351436547935009, 0.9580116271972656, -1.6169124841690063, -0.741969645023346, -0.44046878814697266, 0.2251424491405487, -0.8717263340950012, 0.4931883215904236, 0.21005123853683472, 0.09924491494894028, 0.26366326212882996, -0.9592517018318176, -1.3532044887542725, -0.8900236487388611, -0.20387302339076996, 0.8125194311141968, -0.1598374843597412, -0.37518227100372314, -0.9303186535835266, -0.4533022344112396, -0.6796035170555115, -1.0732190608978271, 0.3313475251197815, -0.2309013307094574, 1.946199655532837, -0.15611322224140167, -0.8322587609291077, -1.0154935121536255, 0.23835083842277527, 0.6684317588806152, 0.45677030086517334, -0.6195333003997803, -0.14618419110774994, 0.10562524199485779, 0.07818643003702164, -0.7393405437469482, -0.30500105023384094, 0.03308568894863129, -0.7926469445228577, 0.10394932329654694, 0.12143559753894806, -0.7623220682144165, 0.00259365513920784, 0.022872237488627434, 0.857694149017334, 1.8170952796936035, 0.25482967495918274, -1.3276453018188477, -0.4990294277667999, 1.196312665939331, -0.04576626792550087, -0.2745859622955322, 0.992721676826477, 2.162916660308838, -0.009691045619547367, 1.120671272277832, 0.09227828681468964, 0.8700656890869141, -0.546450674533844, 0.47840985655784607, -0.8930642008781433, 0.2520376741886139, -0.3826046288013458, 1.5858452320098877, -0.010970527306199074, -0.0953281819820404, -1.100650429725647, 0.1287611424922943, -0.5087063908576965, 1.1090837717056274, -0.40545764565467834, -0.4706772565841675, 0.34203460812568665, -1.2028357982635498, -0.2320653200149536, -1.6513690948486328, -0.6551675796508789, -0.46348726749420166, -1.275776982307434, -0.7037306427955627, -1.5683627128601074, -0.9490907192230225, 1.9487605094909668, 0.492398202419281, 0.4043842554092407, 0.4492192268371582, -0.19171282649040222, 0.21314628422260284, -0.48292845487594604, -0.012132507748901844, -0.39574018120765686, -0.0958656519651413, -0.5206238627433777, 0.04607749357819557, -0.3577720820903778, -0.5332069993019104, 0.4491060674190521, 0.7653688192367554, 1.3301825523376465, -0.08998934924602509, -0.18217483162879944, -0.04101812466979027, -0.4856182634830475, 1.4676817655563354, -0.47773978114128113, 0.34046459197998047, 0.5749647617340088, -1.1169483661651611, 0.07488405704498291, -0.16883991658687592, 0.24411213397979736, -0.3971579968929291, 0.9144303798675537, 0.4039844274520874, -0.35361120104789734, -0.25432342290878296, 0.923675000667572, 0.37316131591796875, 0.07644898444414139, -0.1615329384803772, 0.09555613994598389, -0.2323397994041443, -0.00619869539514184, 0.48743394017219543, -0.04788327217102051, 0.35019126534461975, 0.12354905158281326, -0.3578673303127289, -0.03095722757279873, 1.7303296327590942, 0.6163190007209778, 0.3466728925704956, 0.15873844921588898, 0.35156092047691345, 0.03273046761751175, -0.5331354737281799, -0.5046181678771973, -0.35874852538108826, -0.23909421265125275, -0.10902523249387741, -0.5848000645637512, 0.45188456773757935, 0.408118337392807, -0.4390159249305725, 0.5012701153755188, -0.5471371412277222, 0.334999144077301, 0.5596815943717957, -0.4709129333496094, 0.31262296438217163, 0.5686866044998169, 0.7272821664810181, 0.6215229034423828, -0.33952760696411133, 0.5205951929092407, -0.9839344024658203, -0.44224783778190613, -1.689001202583313, -1.2145459651947021, 0.4651661515235901, -0.5689063668251038, -0.3748743534088135, -0.5394631624221802, -0.20890989899635315, 0.10262180119752884, 0.0732850655913353, -1.3515970706939697, -0.8492740392684937, -0.8693642020225525, 0.11151428520679474, -0.17595607042312622, 0.6932926774024963, -0.18013674020767212, -0.8774029612541199, -0.23747830092906952, -0.25164350867271423, -0.026136860251426697, -0.8435938954353333, 0.5371469855308533, -0.43262213468551636, -0.6383106112480164, -0.29579252004623413, 1.0158576965332031, -1.0891187191009521, -0.6151463985443115, -0.04903775826096535, -0.0013007046654820442, 0.3289162814617157, 1.9898380041122437, -0.8419544696807861, -0.5346959829330444, -1.6434937715530396, -0.3928997814655304, -0.2795138955116272, 0.8548845052719116, -0.24675504863262177, -1.2394646406173706, 0.6954415440559387, -0.20369863510131836, -0.6285181641578674, -0.31379151344299316, -0.015105431899428368, -0.5129305720329285, 0.1088840588927269, -1.132258653640747, -0.3372880220413208, 0.13686582446098328, 0.33023446798324585, 0.7660900354385376, 0.6478198170661926, 0.9902041554450989, 1.122928261756897, 0.9210747480392456, -0.4685307443141937, -0.3051086962223053, 0.5485785603523254, 0.6985875964164734, 1.2570087909698486, 0.6937848925590515, 1.308584451675415, 1.3588486909866333, 0.7758244276046753, 0.8839728236198425, 0.514869213104248, 0.20884251594543457, 0.24803507328033447, 1.4736056327819824, -0.31201496720314026, 0.17680828273296356, 0.024304520338773727, -0.9545795917510986, -0.1702251434326172, 0.059844233095645905, -0.07958776503801346, -0.632647693157196, -0.8496098518371582, 0.34843069314956665, 0.02021670900285244, 0.07653950154781342, -0.3100173771381378, -0.030964484438300133, 0.18105918169021606, -0.7160038948059082, -0.8773691058158875, -0.12630102038383484, -1.6754570007324219, 0.9068041443824768, -0.652808666229248, 0.32555824518203735, 0.32606664299964905, 1.5519274473190308, -0.7418155670166016, -0.23884263634681702, -1.1482564210891724, -0.5161786079406738, 1.6653892993927002, 0.5755102038383484, -0.08979101479053497, -3.0276293754577637, 1.1493847370147705, -0.34574955701828003, 0.5729885697364807, -0.16884839534759521, -0.433480829000473, -0.6575580835342407, -0.19388943910598755, 0.4678288698196411, -0.03666142374277115, -1.0760077238082886, 0.13981129229068756, 1.701986312866211, -0.39738789200782776, 1.1104192733764648, -1.0596742630004883, 0.47804293036460876, 0.31784385442733765, -1.9326673746109009, -0.11182498186826706, -0.5253496170043945, -1.1931477785110474, 0.272919237613678, -0.22563321888446808, -0.12715381383895874, 0.21450529992580414, 0.03820626065135002, 0.6263505816459656, -0.9936163425445557, 0.5336185097694397, -0.7031117081642151, -0.8629071712493896, -0.2834678888320923, 0.009793659672141075, 0.15273122489452362, 0.005595758091658354, 0.734708309173584, 0.17278333008289337, -0.7319557666778564, -8.679497718811035, -0.03991912305355072, 0.018395772203803062, 0.6051324009895325, 0.7913433909416199, 0.550595760345459, -0.13288721442222595, -0.4836954176425934, 0.3653024435043335, -0.9086320996284485, 0.08819685876369476, 0.0015590795082971454, -0.20356397330760956, -1.0367884635925293, 0.9790033102035522, 0.14615391194820404, -0.059083905071020126, -0.2637858986854553, -1.159052848815918, -0.528981626033783, 0.024737663567066193, -0.7305461168289185, -0.20971253514289856, -0.9503507018089294, 2.0126843452453613, 1.0090124607086182, -0.06797435879707336, -0.42838725447654724, 1.2613184452056885, 0.005641603842377663, 0.19371680915355682, -2.09332275390625, 0.07968448847532272, -0.006559327244758606, -0.07701956480741501, -0.2339334487915039, -0.9822509288787842, 0.24028174579143524, -0.647114098072052, -0.4545135796070099, 0.3579493761062622, 0.31444400548934937, 0.7683860063552856, 0.023312991484999657, -0.6223527193069458, -0.6393340826034546, -0.4373524487018585, -0.7417328357696533, 0.22389604151248932, -0.8664142489433289, -0.7532050609588623, -0.147170290350914, 1.2337367534637451, -1.2463105916976929, -0.4877902567386627, -0.04096987098455429, 0.18313834071159363, -0.7313390970230103, -1.008434772491455, -1.2428228855133057, -0.6771230101585388, 0.5036479234695435, 0.4535142481327057, 0.34294337034225464, 0.40851885080337524, -0.5937790870666504, 0.041599828749895096, -0.2976076900959015, 0.7322601675987244, 1.1023595333099365, -0.18615049123764038, -0.530479371547699, 0.9746784567832947, -0.3315277099609375, -1.2167599201202393, -0.8878718018531799, -0.6694564819335938, 0.7362485527992249, -0.22400455176830292, 0.9970324039459229, 0.22774602472782135, -0.8241400718688965, -0.4523281455039978, 0.7815976738929749, -1.3123544454574585, -1.5948750972747803, -0.0698152631521225, -0.27984076738357544, -0.5361571907997131, 0.32654884457588196, -1.0019047260284424, -0.5302145481109619, -0.4301638901233673, 0.8659366369247437, -0.3452870845794678, 0.564765989780426, 0.12257647514343262, 0.04459147900342941, 0.21778017282485962, -0.46718963980674744, 0.21827688813209534, 0.33957165479660034, 0.29508844017982483, 0.14336566627025604, 0.7160568833351135, 0.6391181945800781, -0.9153566360473633, 1.2191250324249268, 0.39664605259895325, 0.9059026837348938, -0.5182895064353943, 1.1879754066467285, -0.19418098032474518, -0.8010716438293457, -0.021432960405945778, 0.7043429613113403, 0.10812312364578247, -0.07178476452827454, -0.44176554679870605, -0.6671022176742554, -0.31064239144325256, 0.6595128178596497, -1.1812652349472046, 0.8640666604042053, -0.21764890849590302, -0.22549554705619812, -1.2157738208770752, -0.3175419270992279, 0.26212674379348755, 1.036261796951294, -0.46958160400390625, 0.6440003514289856, 0.9628992080688477, 0.008087867870926857, -0.01985766552388668, -1.3575316667556763, -0.49265575408935547, 0.6105574369430542, 0.6194483637809753, -0.041915930807590485, 0.2943091094493866, 0.8821128606796265, -0.31899338960647583, 1.0124636888504028, -0.5651416778564453, 0.8172885775566101, -1.7072687149047852, 0.5710459351539612, -0.707001268863678, -0.5203500986099243, 0.7331123948097229, 0.21693484485149384, 0.03164561092853546, 0.7227023839950562, -0.16639426350593567, 0.6472681760787964, -0.2451111525297165, -1.318353295326233, -0.1896847039461136, 0.2969141900539398, 1.1818965673446655, 0.3305239975452423, 0.7598403096199036, 0.9675922989845276, 0.47495609521865845, 0.5691612958908081, 0.31168898940086365, 0.19352619349956512, 0.12289944291114807, -0.4941602945327759, -0.15002888441085815, -0.3458746671676636, -0.9461865425109863, 0.09218867868185043, -0.35990476608276367, -0.4876300096511841, -0.04517049714922905, -0.035907771438360214, 0.8019837737083435, -1.4866071939468384, 1.1164575815200806, 1.157952070236206, 0.6634756922721863, 0.5111948847770691, -0.526517927646637, 1.7021313905715942, -0.6258512735366821, -0.45527511835098267, -0.27166134119033813, 0.8893169164657593, 0.2823915183544159, 0.062127575278282166, -0.4953625798225403, -0.893689751625061, -1.8862866163253784, -1.2305762767791748, -0.14109091460704803, 0.6638005971908569, 1.2245051860809326, -1.3212662935256958, -0.47542256116867065, -0.364532470703125, 1.4239921569824219, 0.22025950253009796, 0.10753760486841202, -0.9754312038421631, -0.8017408847808838, 0.6068376302719116, -0.052263468503952026, -0.46613869071006775, 0.5222005248069763, 0.219534769654274 ]
111
0704.0113
Xiaolin Li
Xiaolin Li, Li Zhang, Xinran Wang, Iwao Shimoyama, Xiaoming Sun, Won-Seok Seo and Hongjie Dai (Department of Chemistry, Stanford University.)
Langmuir blodgett assembly of densely aligned single walled carbon nanotubes from bulk materials
3 pages, 3 figures. JACS, 2007, in press
null
10.1021/ja071114e
null
cond-mat.mtrl-sci
null
Single walled carbon nanotubes exhibit advanced electrical and surface properties useful for high performance nanoelectronics. Important to future manufacturing of nanotube circuits is large scale assembly of SWNTs into aligned forms. Despite progress in assembly and oriented synthesis, pristine SWNTs in aligned and close-packed form remain elusive and needed for high current, speed and density devices through collective operations of parallel SWNTs. Here, we develop a Langmuir Blodgett method achieving monolayers of aligned SWNTs with dense packing, central to which is a non covalent polymer functionalization by PmPV imparting high solubility and stability of SWNTs in an organic solvent DCE. Pressure cycling or annealing during LB film compression reduces hysteresis and facilitates high degree alignment and packing of SWNTs characterized by microscopy and polarized Raman spectroscopy. The monolayer SWNTs are readily patterned for device integration by microfabrication, enabling the highest currents 3mA through the narrowest regions packed with aligned SWNTs thus far.
[ { "created": "Mon, 2 Apr 2007 01:01:27 GMT", "version": "v1" } ]
2007-05-23
[ [ "Li", "Xiaolin", "", "Department of Chemistry, Stanford University." ], [ "Zhang", "Li", "", "Department of Chemistry, Stanford University." ], [ "Wang", "Xinran", "", "Department of Chemistry, Stanford University." ], [ "Shimoyama", "Iwao", "", "Department of Chemistry, Stanford University." ], [ "Sun", "Xiaoming", "", "Department of Chemistry, Stanford University." ], [ "Seo", "Won-Seok", "", "Department of Chemistry, Stanford University." ], [ "Dai", "Hongjie", "", "Department of Chemistry, Stanford University." ] ]
07
[ 0.540553629398346, -0.2698664665222168, 0.4980972111225128, -0.6658859848976135, 0.4848383665084839, 0.6649993062019348, 0.5712429285049438, 0.5398759245872498, 0.7855833172798157, -0.3891722559928894, 0.36646875739097595, 0.4126155376434326, 0.1294160783290863, -0.06875576823949814, -0.4899161458015442, -0.7858656644821167, 1.4291393756866455, -0.7772894501686096, -0.06202808767557144, 0.1760770082473755, 0.15339253842830658, -1.3210495710372925, -0.14673635363578796, -0.7532732486724854, -0.21069402992725372, 0.019759472459554672, -1.7424429655075073, -0.16247877478599548, 0.5198346376419067, -1.2496042251586914, 0.06569553166627884, 0.024475418031215668, 0.11705085635185242, -0.16697299480438232, 0.367786705493927, -0.5026825666427612, 0.6573553085327148, -0.32308971881866455, -1.212512731552124, -1.00505793094635, 0.32988590002059937, -0.971226155757904, -1.4093137979507446, 0.19381283223628998, 0.39987242221832275, 0.5870472192764282, 0.6025161147117615, -0.5230231285095215, -0.5951160192489624, -0.41731396317481995, 1.2346041202545166, 0.6228650212287903, -0.481861412525177, -1.3023852109909058, 1.522296667098999, 0.24070358276367188, -0.6458030343055725, -0.0016043081413954496, -0.0031289421021938324, -0.3095974624156952, -0.995060384273529, 0.9857731461524963, 0.24824415147304535, 0.028439151123166084, 0.11337272077798843, -0.1415829211473465, 0.4915604591369629, 0.5846337080001831, -0.4142838418483734, 0.3736790120601654, -0.12947867810726166, -0.7294849753379822, -0.510937511920929, -0.9444857835769653, -1.0534814596176147, 1.2592589855194092, 0.2766149938106537, -1.6560218334197998, -0.9904466867446899, 0.052617382258176804, -0.25352850556373596, 0.19399188458919525, -0.05825664848089218, -0.21076080203056335, 0.47744452953338623, -0.9617838859558105, 0.35819482803344727, 0.3319370746612549, -0.19535797834396362, 1.7864660024642944, 0.2614416778087616, 0.26317912340164185, 0.27104896306991577, 0.9440850615501404, -1.0573256015777588, -0.2614672780036926, 0.44758331775665283, -0.3349080979824066, -0.038849227130413055, 1.3228530883789062, -0.7626915574073792, -0.338140606880188, 0.4984147846698761, 0.011028134264051914, -0.3719879686832428, 0.5384637713432312, -0.9374417066574097, 0.6301222443580627, -0.8949374556541443, -0.218671515583992, -0.5119044184684753, -0.2960442304611206, -1.0512669086456299, -0.6781747937202454, -0.21657368540763855, 0.9632153511047363, -0.9977154731750488, -0.8931798338890076, -1.904829740524292, -0.3906487226486206, -0.19175177812576294, 0.42483779788017273, 1.142702579498291, -0.544360876083374, -0.30248162150382996, 1.4156140089035034, 0.08694109320640564, -0.015996992588043213, 0.21916016936302185, 0.46710091829299927, -0.8972184658050537, -0.7193156480789185, -0.5563627481460571, -0.5022881031036377, -0.8214177489280701, 0.39831504225730896, -0.07646375894546509, 0.6011767387390137, -0.1858823001384735, 0.6543665528297424, 0.22760634124279022, 0.570338785648346, -0.3590215742588043, 0.026619955897331238, -0.5238063335418701, -2.342446804046631, -0.5824627876281738, -0.44107717275619507, -0.027921440079808235, 0.31186285614967346, -1.0148696899414062, -1.1894389390945435, -0.5415544509887695, -0.1899864375591278, -0.44284695386886597, -0.40236496925354004, 1.1424955129623413, -0.40315982699394226, -1.8444353342056274, 0.6812117695808411, 0.02545873448252678, 2.403440475463867, -0.9239262938499451, -0.45665162801742554, 0.3155011236667633, -0.18486206233501434, 0.3831360936164856, 0.24154071509838104, -0.5405575037002563, 0.7719056606292725, -0.732923686504364, -0.5884268283843994, -0.4968898892402649, 0.004696579184383154, 0.5228126049041748, 0.7705159187316895, 0.07588206231594086, -1.9159867763519287, 0.241472065448761, 1.4730205535888672, -0.13674215972423553, -0.3647541105747223, -0.6220523118972778, 0.7223402857780457, 0.5439313650131226, 0.5600375533103943, 0.6995842456817627, 0.12989811599254608, -0.07797566801309586, -0.5667018294334412, -0.6757768392562866, 0.6888217926025391, 0.2591956853866577, -1.1104302406311035, -0.04149332642555237, -1.2152884006500244, 0.35563281178474426, 0.9390401840209961, -0.8186268210411072, 0.11593003571033478, -0.0331047885119915, 0.4168098568916321, 0.4625019133090973, 0.7566120028495789, -0.06779440492391586, -0.6141387820243835, 0.4094383418560028, 0.6527054905891418, -0.49834129214286804, -0.14452390372753143, -0.03421672433614731, -0.7880872488021851, -0.1069737896323204, -0.22670291364192963, 0.5320917367935181, 0.6641721725463867, 0.10067319869995117, -0.8494110107421875, -0.29526790976524353, 0.45480334758758545, -0.4780162274837494, 0.967975378036499, 1.1020258665084839, -0.252941370010376, 0.25330114364624023, -2.2169594764709473, -0.8827622532844543, 0.18385228514671326, -0.13048522174358368, -0.7908132672309875, -0.22203688323497772, 0.18043172359466553, 0.4973866939544678, 0.02913350611925125, 0.41539162397384644, -0.5554225444793701, 0.24148961901664734, 0.07719390094280243, 0.6045829057693481, -0.43417173624038696, -0.6239215135574341, 0.21934761106967926, -0.9698575735092163, -0.2278594970703125, -0.44472965598106384, 0.15669889748096466, 1.0861865282058716, 0.006069025956094265, 0.20720314979553223, -0.29522839188575745, -0.5292858481407166, -0.019556665793061256, -0.3915433883666992, -0.26032453775405884, -1.216441035270691, 0.6376094222068787, 0.050151046365499496, -0.20658308267593384, -0.23117074370384216, -0.16859331727027893, -0.051489558070898056, 0.5162127614021301, -0.23527497053146362, 0.7587828636169434, -0.4975557029247284, 1.2926599979400635, -0.1848406344652176, 0.09217546135187149, -0.015834854915738106, 0.06000301614403725, -0.08825349062681198, 0.37445250153541565, -0.49422135949134827, -0.28883859515190125, 0.9619292616844177, -0.04931526631116867, -0.5995688438415527, -0.3416064381599426, 0.290957510471344, -0.3130912482738495, 0.6617975831031799, 0.07129529863595963, -0.9286819696426392, 0.0872851312160492, 1.0826382637023926, 1.131226897239685, -0.060329046100378036, 1.2551491260528564, -1.9643778800964355, -0.6673315763473511, 0.9084290266036987, 0.5386835932731628, -0.7947121858596802, 1.6275666952133179, -0.6677234172821045, 0.43874824047088623, -0.23048485815525055, -0.012071975506842136, 0.24763894081115723, -0.06536510586738586, 0.163545161485672, 0.7096889019012451, -0.16885626316070557, 0.7275934219360352, 0.015408139675855637, -1.2045140266418457, -0.2401367872953415, -0.2564503252506256, -0.4046955406665802, 0.586329996585846, 0.3597862422466278, 1.193702220916748, 0.10027539730072021, 0.29278600215911865, 1.9582241773605347, 1.020719051361084, 0.031174270436167717, -0.5673520565032959, -0.8159958124160767, -1.8648414611816406, 0.9969971179962158, 0.4618716537952423, -0.5973150730133057, -0.26292744278907776, 0.019488275051116943, -0.7920140027999878, 0.4955233633518219, -0.4006456732749939, 1.7303603887557983, -0.657684326171875, -0.4975396990776062, -0.537581205368042, 1.1938042640686035, 0.5351803302764893, 1.3777477741241455, -0.8520410060882568, 1.0768712759017944, -0.9612631797790527, 1.1884914636611938, -0.5429831147193909, 0.06659465283155441, 2.8550899028778076, 0.2326916605234146, -0.6970745325088501, 0.7421756982803345, -0.6920207738876343, -0.24572959542274475, 0.5053479075431824, -0.1166604533791542, -0.39084598422050476, -0.00974291656166315, -0.5476424694061279, 0.3812660276889801, -0.3795738220214844, 0.9018782377243042, -0.014294082298874855, 0.3265138268470764, 1.0606964826583862, 0.5217958092689514, 0.32300814986228943, 0.21712230145931244, -1.4466536045074463, 0.4159788191318512, -0.2393992692232132, 0.6406450867652893, -0.862887442111969, 0.13047106564044952, -0.499835729598999, 0.8101874589920044, -0.2669992446899414, 0.9742798209190369, 0.0702916756272316, 0.6847037076950073, 0.7535992860794067, -0.8521718382835388, 0.8380224108695984, -0.05911342054605484, 0.9378215670585632, 0.04100383445620537, -0.6565583348274231, 0.16607488691806793, -0.4932791292667389, 1.4339052438735962, 0.6093522906303406, -0.604127824306488, 0.41269659996032715, -0.855719804763794, 1.415815830230713, -0.8588846325874329, 0.3305840492248535, 0.060203466564416885, -0.26109129190444946, 0.47790536284446716, -0.9951331615447998, -0.6083936095237732, 0.8835842609405518, -0.561431348323822, -0.022059738636016846, -0.19546985626220703, 1.1890764236450195, -0.2868201434612274, -0.31063830852508545, -0.9324005842208862, 0.4146040081977844, -1.5747298002243042, -0.21347950398921967, -0.02371864579617977, 0.009696823544800282, -1.2180027961730957, -0.06962612271308899, -2.9254229068756104, -0.898734450340271, 0.033396605402231216, -1.7560464143753052, -1.2721760272979736, 0.16520430147647858, -0.06819550693035126, 0.40811267495155334, 0.5277111530303955, -0.44321686029434204, 0.16863732039928436, 0.5935608744621277, -0.15948738157749176, 0.9733155965805054, 1.2358239889144897, -1.0614604949951172, -0.08067787438631058, -0.3606031537055969, -0.5007091760635376, 0.08712281286716461, 0.9570645689964294, 0.8379489183425903, 1.0161210298538208, 0.6612183451652527, -0.03681447356939316, -1.5947599411010742, -0.23206330835819244, 1.179464340209961, 0.2605074942111969, 0.3812679350376129, -1.146623969078064, -0.06414159387350082, -0.5682307481765747, -0.5069390535354614, 0.5592867136001587, 0.047837406396865845, -1.3733302354812622, 1.0994030237197876, -1.284316062927246, -0.5378193855285645, -0.8499280214309692, 0.2903880476951599, -0.1756586730480194, -0.19116105139255524, 0.5572442412376404, -1.3877860307693481, 0.09043961763381958, 0.35656222701072693, 1.0816367864608765, -0.7234476804733276, -1.1833081245422363, -0.19700351357460022, 1.0952551364898682, 0.07980699837207794, 0.18103963136672974, 0.23427608609199524, -0.07839595526456833, 0.16446880996227264, 0.0644824206829071, 0.5004193186759949, 0.6354847550392151, 0.2042514681816101, -0.18156437575817108, 0.8747974634170532, -0.4068603515625, -0.11521691828966141, -0.46507027745246887, 0.9036074280738831, -0.16559669375419617, 0.014879660680890083, -0.8480326533317566, -0.09556520730257034, 0.3386596441268921, -0.08626101166009903, 0.4307037591934204, 1.826772928237915, -0.05146798491477966, -1.1383233070373535, -0.1975361853837967, 1.5406616926193237, -0.00397533131763339, -0.7798693776130676, 0.5200122594833374, 0.08575107902288437, 1.5600887537002563, 0.24075117707252502, -0.7862762808799744, -0.625677227973938, -0.25332561135292053, 0.43912792205810547, -0.7350874543190002, 0.45663535594940186, 0.17114953696727753, 0.102249875664711, -0.3183177709579468, -0.3999054729938507, -0.19205264747142792, 0.25165727734565735, -0.09693991392850876, 0.9679874181747437, -0.34604108333587646, -0.5726403594017029, -1.5372837781906128, -1.3581523895263672, -1.1405168771743774, -0.8104614019393921, 0.1946868896484375, -3.2438409328460693, 0.2417384833097458, 0.5495909452438354, 0.9153834581375122, -0.47675958275794983, -0.1978515386581421, 0.29412198066711426, -0.23202551901340485, 0.39881959557533264, 0.16970261931419373, -0.7697588205337524, -0.016741320490837097, -0.9875380992889404, -0.20858900249004364, -0.20908603072166443, 1.440634846687317, -0.9582404494285583, 0.6044357419013977, -1.0583794116973877, 0.5083622932434082, 0.20325714349746704, -0.6526161432266235, -1.1807122230529785, -0.8902484178543091, -0.5144521594047546, -0.3956354260444641, -0.07212072610855103, 1.227178692817688, 0.0971890240907669, -0.048886582255363464, -0.8255734443664551, 1.1882578134536743, -0.34062233567237854, 0.3182295560836792, -0.924090564250946, -0.9780012369155884, -0.4404297173023224, -0.027659952640533447, 1.3673794269561768, -6.961217403411865, -0.8156024813652039, -0.5636456608772278, -0.15916362404823303, 0.06714427471160889, -0.8880610466003418, -0.8828571438789368, -0.3877023160457611, 0.8097583055496216, -0.4029737412929535, -0.18127569556236267, 0.18799522519111633, -0.17270365357398987, -0.08189612627029419, -0.29096919298171997, 0.24377082288265228, 0.5940293073654175, -0.17317505180835724, 0.13723503053188324, 0.33378496766090393, 1.1200658082962036, -1.8756803274154663, 0.794890284538269, 0.3393956422805786, 0.3121946454048157, 0.7233942747116089, 0.1710527241230011, -1.1621732711791992, 0.12250769138336182, 0.18963322043418884, 0.06491690129041672, 0.9915417432785034, 1.084402322769165, -1.4905200004577637, -0.28999388217926025, -2.018599510192871, 0.9259154200553894, 0.5993534326553345, 1.6368496417999268, -0.2797356843948364, 0.10740026086568832, 0.7300381660461426, 0.38504379987716675, -1.0868582725524902, 0.40745437145233154, 0.4318879246711731, 0.24726919829845428, -0.055622298270463943, 0.06650197505950928, 0.2789084017276764, -0.8695911765098572, 0.10310334712266922, 0.4076732397079468, 0.63442462682724, -1.4645072221755981, -0.24725154042243958, -0.7094364166259766, -0.6293300986289978, -1.3275007009506226, -0.8927998542785645, 0.3573414981365204, -0.2741847634315491, 1.4598430395126343, 0.7749413847923279, 0.4877919554710388, -0.08975866436958313, 0.5027863383293152, -0.7494564652442932, -0.19657576084136963, 1.7995779514312744, 0.714654266834259, 0.591190755367279, 1.557948112487793, 1.0336275100708008, -0.09575533121824265, -0.2075585275888443, -0.1438131034374237, -1.0607304573059082, 1.1627787351608276, -1.5006275177001953, -1.4219200611114502, 0.11647968739271164, -0.6659973859786987, -0.3648194968700409, 0.0976712554693222, -0.4600740671157837, 0.054074376821517944, 0.006083083339035511, -0.14961209893226624, 0.5989662408828735, 0.1182977706193924, 2.56994891166687, 0.3617295026779175, 0.7640708088874817, -0.5048657655715942, 0.21952402591705322, -0.7623060345649719, -1.031505823135376, 0.14830224215984344, 0.939932107925415, -0.43803930282592773, -1.5445319414138794, -0.18833205103874207, 0.4630008935928345, -0.3311658799648285, 0.3715904653072357, -1.0008559226989746, 0.532548725605011, 1.1315820217132568, -0.5110894441604614, 0.0446794368326664, 0.1619238555431366, -0.33691802620887756, 0.558220624923706, 0.3444598317146301, 0.706417977809906, -1.305862307548523, -0.8404029607772827, -0.9167446494102478, 0.056534767150878906, 0.14657148718833923, -0.08458931744098663, -1.179537296295166, 0.20577372610569, 0.6190972328186035, -0.4089092016220093, 1.6271029710769653, -0.23020042479038239, 0.5793602466583252, 0.4836280047893524, 0.733086884021759, -0.5827727317810059, -0.02438216097652912, -0.0030226309318095446, 0.5396280288696289, 0.5399594306945801, 0.7207563519477844, -0.3550892472267151, -0.11360233277082443, -0.48604774475097656, 0.1118912547826767, -0.6442093849182129, -0.47403985261917114, -0.03519821912050247, -0.04181678965687752, 0.2761017084121704, 0.8310965895652771, 0.5412957072257996, -0.9867767691612244, -0.16448169946670532, -0.21006157994270325, -0.30544355511665344, 0.02687430940568447, 1.3964669704437256, 0.45028406381607056, 0.9600731730461121, -2.411151170730591, 0.1151517927646637, -0.751761794090271, -0.8036339282989502, 0.3153391182422638, -1.0265403985977173, -1.1785763502120972, -0.5072090029716492, -0.648462176322937, 0.6675166487693787, -0.20215626060962677, -1.3278532028198242, 0.08450282365083694, -0.8688257932662964, 0.9644188284873962, -0.1985117644071579, -1.695015788078308, -0.4867054522037506, -0.655959963798523, -0.9869487285614014, -0.5591293573379517, -0.34388741850852966, 1.1042290925979614, -0.31572750210762024, 1.87142813205719, 0.40307939052581787, 0.5536252856254578, 0.7715819478034973, -1.1845039129257202, -1.62450110912323, 1.0858817100524902, 0.31758272647857666, -0.057154253125190735, 0.4298150837421417, 0.054560743272304535, 0.0893806740641594, 0.290658563375473, -0.059098340570926666, -1.243337631225586, -0.09332981705665588, -0.19320788979530334, -0.06730924546718597, -0.2483602911233902, 1.0767844915390015, -0.40426674485206604, 0.736354410648346, -0.3460524082183838, -0.0008969784248620272, 1.2838395833969116, -0.13876454532146454, -0.5409955382347107, -0.3111568093299866, -0.4529523551464081, 0.26945576071739197, -0.25139936804771423, -0.2553475797176361 ]
112
0704.0114
Valeri Kotov
Valeri N. Kotov, Dao-Xin Yao, A. H. Castro Neto, D. K. Campbell
Quantum Phase Transition in the Four-Spin Exchange Antiferromagnet
6 pages, 4 figures; published version
Physical Review B 80, 174403 (2009)
10.1103/PhysRevB.80.174403
null
cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the S=1/2 Heisenberg antiferromagnet on a square lattice with nearest-neighbor and plaquette four-spin exchanges (introduced by A.W. Sandvik, Phys. Rev. Lett. {\bf 98}, 227202 (2007).) This model undergoes a quantum phase transition from a spontaneously dimerized phase to N\'eel order at a critical coupling. We show that as the critical point is approached from the dimerized side, the system exhibits strong fluctuations in the dimer background, reflected in the presence of a low-energy singlet mode, with a simultaneous rise in the triplet quasiparticle density. We find that both singlet and triplet modes of high density condense at the transition, signaling restoration of lattice symmetry. In our approach, which goes beyond mean-field theory in terms of the triplet excitations, the transition appears sharp; however since our method breaks down near the critical point, we argue that we cannot make a definite conclusion regarding the order of the transition.
[ { "created": "Mon, 2 Apr 2007 19:09:29 GMT", "version": "v1" }, { "created": "Wed, 5 Aug 2009 01:05:58 GMT", "version": "v2" }, { "created": "Fri, 13 Nov 2009 23:05:42 GMT", "version": "v3" } ]
2009-11-14
[ [ "Kotov", "Valeri N.", "" ], [ "Yao", "Dao-Xin", "" ], [ "Neto", "A. H. Castro", "" ], [ "Campbell", "D. K.", "" ] ]
07
[ 0.7415648698806763, -0.38426870107650757, -0.40870529413223267, 0.4336191713809967, -0.3114725351333618, 0.13411086797714233, 0.16523557901382446, -0.0351744219660759, -0.21875962615013123, -0.44078096747398376, -0.7674275636672974, -1.037460446357727, 0.32641059160232544, 0.1023537665605545, 0.16146942973136902, -0.24478216469287872, -0.8160826563835144, -0.4973340332508087, 0.10085999220609665, 1.187680721282959, 0.017318282276391983, 0.5654825568199158, -0.710602343082428, -2.19329571723938, -1.2061026096343994, 0.29735615849494934, -0.34587329626083374, 1.558685064315796, -1.3941287994384766, 0.6070924997329712, 1.6196948289871216, 0.43366554379463196, 1.0510468482971191, -0.017271623015403748, 0.279859334230423, -1.0361766815185547, 1.3000870943069458, -0.047847930341959, -0.8300099968910217, -0.01667836122214794, 0.7054260969161987, 1.3873809576034546, -0.5486827492713928, 0.7120595574378967, -0.7128966450691223, -0.35012286901474, -1.3348959684371948, -1.4053635597229004, -0.990731418132782, 0.05506930500268936, -0.49605271220207214, -0.34802499413490295, -0.19904400408267975, 0.19277946650981903, 1.4568158388137817, 2.575141429901123, -1.3420326709747314, 0.7896588444709778, 0.3994597792625427, -0.1968103051185608, -0.286977618932724, -0.2954864799976349, 0.031961701810359955, 0.5261676907539368, 0.48919737339019775, 0.5297280550003052, -0.9748444557189941, -1.2861027717590332, 0.09182732552289963, -0.13192419707775116, 0.27320271730422974, -1.0051629543304443, -1.071647047996521, 0.5666623711585999, 0.36898812651634216, 0.7593989968299866, 0.40844234824180603, 0.656331479549408, 0.4948042631149292, -1.0380734205245972, 1.373545527458191, -0.3257962465286255, -0.5355597138404846, -0.8630984425544739, 1.1681318283081055, 0.5020229816436768, 0.5612178444862366, -0.13708104193210602, -0.8246476054191589, -0.03457297012209892, 0.019814737141132355, 0.031230779364705086, -0.1625830978155136, -0.46267637610435486, 0.2852613627910614, 0.8958375453948975, -0.41433078050613403, -0.8250209093093872, -0.6193604469299316, 0.7198997139930725, -0.38440176844596863, 0.8629768490791321, 0.15624001622200012, -0.1659718006849289, -0.4353928565979004, 0.9988765716552734, -0.44255006313323975, -1.0506622791290283, 0.1626645028591156, 0.4897456467151642, -0.6879781484603882, -1.1271785497665405, 0.3867640495300293, -0.36559799313545227, -1.0863020420074463, 0.05571713298559189, 0.287313312292099, 0.47503137588500977, -0.024950409308075905, 0.9464119076728821, 0.11106971651315689, 0.9555569291114807, 0.09418579936027527, 0.004447187762707472, -0.06987227499485016, -1.2188752889633179, -0.15746460855007172, -0.4407735764980316, -0.03686695545911789, -0.9256523847579956, -0.44542548060417175, 0.2031973898410797, -0.15802451968193054, 0.28411898016929626, 0.5027631521224976, 0.7312266826629639, -0.7829903364181519, -0.4239487648010254, 0.7183905243873596, -0.1757158488035202, -0.6318631768226624, -0.07459063082933426, 0.7528256177902222, -0.9923502802848816, 0.06489148736000061, -0.9806417226791382, -0.7425358891487122, -1.0571905374526978, 0.08384047448635101, -0.37286657094955444, 0.055097632110118866, -0.469728022813797, -0.3137381970882416, 0.493938684463501, -0.2970599830150604, 0.2957365810871124, 0.7610923051834106, 0.9777401089668274, 0.4988580644130707, 0.8035798072814941, 1.6258047819137573, -0.037121180444955826, 0.8380856513977051, -1.4327282905578613, 0.3867143988609314, -0.7048603892326355, 0.922783374786377, 0.007277921307832003, -1.0954594612121582, 0.40868258476257324, -0.017628444358706474, 0.22882939875125885, -1.472556471824646, -0.7264476418495178, 0.142120823264122, 1.1227946281433105, -0.3127846419811249, -1.197275161743164, -0.7133834362030029, 1.4223723411560059, 0.04168470948934555, -0.6248112916946411, -0.770944356918335, 0.05802495405077934, -0.5112605690956116, 1.212350606918335, 1.0663765668869019, -0.43415722250938416, -0.024721305817365646, -0.09997961670160294, -0.394325852394104, -0.056949470192193985, -1.4035630226135254, -1.9272561073303223, -0.12398487329483032, 1.617544174194336, 0.271785169839859, 0.3836527168750763, 0.18843989074230194, -1.3134357929229736, 1.0717663764953613, 0.6427168250083923, 0.12781676650047302, 0.3775317668914795, -1.0963493585586548, 0.18962760269641876, -1.0801860094070435, 0.5481128096580505, -0.8273111581802368, -0.16661539673805237, -0.39213845133781433, -1.409224271774292, -0.26843804121017456, 0.27246764302253723, 1.0337131023406982, -0.4267842769622803, -0.15694911777973175, -0.6153886318206787, 0.8845199346542358, -0.3157123327255249, -0.13277781009674072, -0.21728397905826569, 0.5109505653381348, -1.020749568939209, 1.876532793045044, 0.4586005210876465, -0.8946748375892639, -1.1129928827285767, 0.5003632307052612, -0.1375126838684082, -0.27068471908569336, -0.2672500014305115, 0.7187319993972778, -0.8737590909004211, -0.3174205422401428, 0.10464013367891312, -0.14405694603919983, -0.15522894263267517, -0.6825879216194153, -0.7958367466926575, -0.2779426574707031, -0.21002967655658722, 0.12676481902599335, -0.9469612240791321, 0.057826556265354156, 0.0005320224445313215, -0.33459213376045227, 1.8053503036499023, -1.2901229858398438, 0.4508620500564575, 0.07578960061073303, -0.8262217044830322, -0.8194376230239868, 0.296609491109848, -1.2456297874450684, 0.3665864169597626, 0.47009342908859253, 0.06572975218296051, -1.1155221462249756, 0.20385143160820007, 0.16443942487239838, 0.2908060550689697, 0.22259745001792908, -0.4167018234729767, 0.8369866013526917, -0.9178791046142578, -0.5759589672088623, -1.0376724004745483, 0.48726025223731995, 0.24716876447200775, 0.11711355298757553, 0.5855820178985596, -1.0145487785339355, 0.3433995544910431, 0.775122344493866, 0.6612725257873535, -0.23890286684036255, -1.169426441192627, -0.031456466764211655, 0.3199619948863983, 0.5348295569419861, 1.0819041728973389, 0.02398502454161644, 0.030665522441267967, -0.04115278273820877, 0.3498575985431671, 0.07644478231668472, -0.29321014881134033, -0.7505412101745605, 0.4512372314929962, -1.5455811023712158, -0.4649697542190552, 1.2667025327682495, -0.08478090167045593, -2.0322225093841553, -0.5470996499061584, -0.17990851402282715, -1.2520229816436768, 0.5605367422103882, -0.2816448211669922, 0.7421087026596069, 0.149576798081398, 0.8948289155960083, 0.6332342028617859, -0.11140602082014084, -0.31376031041145325, -0.2369013875722885, -0.5454288125038147, -0.20623019337654114, -0.3703310489654541, -0.3191995322704315, 0.12430954724550247, -0.10220467299222946, -0.5819161534309387, -0.2501637637615204, -0.9054543972015381, 0.31839993596076965, 0.8941394090652466, -1.135026454925537, -0.246243417263031, 0.06643769145011902, 0.9448131322860718, -0.12910613417625427, -0.22324387729167938, -1.1385515928268433, -0.6165768504142761, 0.13403835892677307, 0.22161851823329926, -0.3101980984210968, 0.6505132913589478, -1.1467607021331787, 1.054673194885254, -0.2894337773323059, -0.684198260307312, 0.39251405000686646, 0.9522725939750671, 0.4790004789829254, -0.1454882174730301, 0.48056739568710327, -0.485970139503479, -0.8012470006942749, 0.2648731470108032, 1.1628767251968384, 1.073936104774475, -0.7931109666824341, 0.7440681457519531, 0.024438288062810898, -0.08645476400852203, -0.02313906140625477, 1.5817735195159912, -0.49348390102386475, -0.09489757567644119, 0.5543839335441589, -0.6820577383041382, 0.3413616418838501, 0.18917915225028992, 0.5048132538795471, 0.6277807354927063, 0.40293675661087036, 0.53961181640625, 0.15561643242835999, -0.32847142219543457, 0.5795637965202332, 0.13701578974723816, -0.13634611666202545, -0.40392357110977173, -0.39472514390945435, -0.6825304627418518, -0.6690148711204529, -0.5582345724105835, -0.10624190419912338, -0.2636468708515167, 0.13971427083015442, -0.33345532417297363, -0.22810141742229462, -1.1400972604751587, 0.44275060296058655, 1.3287166357040405, -0.1396506428718567, 0.7836636900901794, 1.0058387517929077, 0.4276528060436249, 1.345681071281433, 0.09076526761054993, 1.064121127128601, 0.11636821180582047, 0.08515920490026474, 0.013453195802867413, -0.26105451583862305, 0.000585752772167325, 0.6860046982765198, 1.1513054370880127, -0.5577281713485718, 0.46205824613571167, -0.17063811421394348, 0.10149188339710236, 1.7964280843734741, 0.5154475569725037, 0.7208581566810608, 0.8407968878746033, 0.3161988854408264, -0.7567771673202515, -0.24406024813652039, 0.8859719038009644, -0.6891344785690308, 0.060527652502059937, -0.1872548758983612, -0.4959144592285156, 1.153993844985962, 0.19026009738445282, -1.1164156198501587, 1.9269218444824219, 1.6408641338348389, -1.1064724922180176, -0.5947480797767639, -0.7767326831817627, -0.5034555196762085, 0.32832613587379456, -1.0303418636322021, -0.4857250154018402, -0.529334545135498, -0.592578113079071, -0.10663668066263199, 1.348628282546997, 0.4724050462245941, 0.26035329699516296, -0.7012792229652405, -0.419437438249588, -0.042820435017347336, -0.7143222689628601, 0.44101274013519287, 0.053308919072151184, 0.0997890904545784, 0.3683824837207794, -0.8026416897773743, -1.133963704109192, -0.775310754776001, 0.5697380304336548, -0.020603714510798454, -0.5788207054138184, 0.7418948411941528, 0.6471747756004333, 0.18408077955245972, -1.5734508037567139, 1.423811912536621, -1.6227775812149048, -1.449747920036316, 0.9305643439292908, -0.3731847405433655, -0.6280556321144104, -0.1245695948600769, -0.3405841290950775, 0.13201190531253815, -0.5682146549224854, -0.3905040919780731, -0.832329273223877, -1.6708974838256836, 0.8552680015563965, -0.34992820024490356, 0.8132103681564331, -0.3709295690059662, -0.8546069860458374, 1.2959505319595337, -1.0841515064239502, 0.40212589502334595, -1.1839052438735962, 0.8339108824729919, -0.13141322135925293, -0.36801382899284363, 0.5278257727622986, 0.3871122896671295, 0.10680856555700302, 1.0847116708755493, -0.05764896050095558, -0.3720841705799103, -1.45654296875, 0.7574633955955505, 0.15702486038208008, 0.9584974646568298, 0.057974398136138916, -0.467446893453598, 0.6830949187278748, -0.05035599321126938, -0.34458211064338684, -0.1578197479248047, -0.9038965702056885, -0.6720799207687378, 0.5009056329727173, -1.343553066253662, 0.7593367695808411, -0.2519025206565857, 0.7340580821037292, -0.3587494194507599, 0.3708001375198364, 1.297628402709961, 1.4874433279037476, 0.1805652230978012, -0.6601142287254333, 0.3495132327079773, -0.8025777339935303, -0.18109920620918274, -0.3159387707710266, -0.6115657687187195, 0.594273567199707, -1.48935866355896, -1.0230077505111694, -0.30177754163742065, 0.4715780019760132, -0.4597731828689575, 0.4272359609603882, 0.597463071346283, 1.4444644451141357, -0.4102066457271576, 0.5761227011680603, 0.23624788224697113, -0.6789891123771667, -0.0416388176381588, -2.649207830429077, 0.2504289448261261, 0.07658059149980545, -0.7703990936279297, -0.1591825932264328, -0.12372066080570221, 0.016297291964292526, -0.40729495882987976, 0.13019075989723206, -0.17832572758197784, 0.5190739631652832, -0.35710471868515015, 1.2442535161972046, -0.9827877879142761, -0.17561621963977814, -1.0521076917648315, -0.13573171198368073, 1.6663228273391724, -0.014618687331676483, -0.6671696901321411, 0.538589596748352, -0.9495395421981812, 0.14800764620304108, 0.03328903764486313, -2.1190905570983887, -1.4459874629974365, -0.1358933448791504, -0.7227382063865662, 0.31286489963531494, -1.5465861558914185, -0.039934493601322174, -1.377069115638733, 0.21528330445289612, 0.5402842164039612, -1.1770609617233276, 0.13985686004161835, -0.6572914719581604, -1.805422067642212, 0.02003983035683632, -6.647210121154785, -0.35023045539855957, -0.28665104508399963, -0.21019576489925385, 0.22204680740833282, -0.9398760199546814, -0.6037638783454895, -0.6525245904922485, 0.015783382579684258, 0.3252149820327759, -0.6660118699073792, -0.12531748414039612, -1.0932573080062866, -0.04052259027957916, 0.2661915421485901, -0.4409993588924408, 0.577562153339386, 0.18636713922023773, 1.1603593826293945, -0.04227586090564728, 1.6672114133834839, 0.3168863356113434, -0.9490498900413513, -0.5909151434898376, 1.1641112565994263, 1.6125550270080566, 0.3706327974796295, -0.5683164596557617, 0.7997767329216003, 0.5984328985214233, -1.3244810104370117, 0.8760905265808105, -0.8146684169769287, 0.7789770364761353, 0.6222035884857178, -1.0075422525405884, 0.9989067912101746, 1.1639517545700073, 0.5584813952445984, 0.0822233036160469, 0.1855427622795105, 0.36417657136917114, 0.5244277715682983, -0.7202264666557312, -0.7098646759986877, 0.9705557823181152, 0.2275833636522293, -0.5031989812850952, 0.09865424036979675, 0.8114327192306519, 0.9770933985710144, -0.7610180974006653, 0.2527158260345459, 0.9564552307128906, -0.8212268352508545, -0.8087326288223267, -1.4345712661743164, -0.003907703794538975, -1.302228569984436, -0.943931519985199, 1.200640082359314, -0.1829971969127655, 1.3256866931915283, 0.5427976846694946, -0.6489905714988708, -0.5691350698471069, 0.20307716727256775, 0.01488790474832058, 0.06421535462141037, 0.8722290396690369, -0.04875724017620087, -1.5830059051513672, -0.7761378288269043, 0.19837647676467896, 0.10514263063669205, -0.3268126845359802, -0.17645159363746643, -0.8153479695320129, -0.08538258075714111, 1.152617335319519, -0.33446282148361206, -0.596523642539978, 1.054949402809143, 0.5594387650489807, 0.6018435955047607, -0.9354714155197144, 1.0042057037353516, -1.230938196182251, -1.3931974172592163, 0.34885844588279724, 0.20489206910133362, -0.35533198714256287, 0.4673842489719391, -0.11113105714321136, -0.7408787608146667, 1.0933760404586792, 1.3973153829574585, -0.36647701263427734, 0.7275964617729187, 0.40509483218193054, -0.38469624519348145, -0.9699607491493225, 0.35822156071662903, 0.6087151169776917, 0.36885127425193787, 0.5637356042861938, -0.8179729580879211, 0.1429208219051361, 0.2940707504749298, -0.698904275894165, -0.5795391201972961, 1.2718068361282349, -0.07279007136821747, -0.27017921209335327, -0.8844527006149292, 0.6266077756881714, -0.43649083375930786, 1.2300128936767578, -0.44311878085136414, 0.419089138507843, -1.0267333984375, -0.7089235186576843, 1.442728042602539, 0.21597658097743988, 0.7199054956436157, -0.8299193978309631, 1.033252477645874, -0.09247079491615295, -0.7936437726020813, 0.6650518178939819, 1.0917344093322754, 0.11781368404626846, -0.8591965436935425, 1.1157498359680176, 0.00018798183009494096, -0.08067962527275085, -0.1480875462293625, 0.5457508563995361, 1.2138293981552124, 1.0694714784622192, 0.790739893913269, 1.1208418607711792, -0.4612272381782532, -0.45549967885017395, 0.060371603816747665, -0.38755160570144653, 0.9186645746231079, -0.1655557006597519, -1.5945007801055908, 0.17010773718357086, -0.3492288589477539, 0.8839910626411438, -0.2117483913898468, 0.2237768918275833, -0.20973393321037292, -0.041136931627988815, -0.5156323909759521, 0.2973870635032654, -0.5876428484916687, -0.4863380193710327, -0.29563385248184204, 0.3021579682826996, 0.4363323450088501, 0.32638272643089294, -0.025198614224791527, 0.35790058970451355, -0.602847695350647, -0.555569052696228, -0.9377055168151855, -1.7971632480621338, 0.4166681170463562, 0.45806509256362915, 0.30687689781188965, -1.2111430168151855, 0.800948977470398, 0.9746160507202148, 0.2249811440706253, -0.21163378655910492, -0.28167271614074707, -1.3005177974700928, -1.593778371810913, -0.5926199555397034, -0.14690086245536804, 0.9327287077903748, -1.5029551982879639, 1.213664174079895, -0.012648128904402256, -1.3076567649841309, 0.19475746154785156, 0.4298812747001648, -0.5551280975341797, 0.48755088448524475, -0.23761747777462006, -0.5928782224655151, -0.8199113011360168, 0.45756784081459045, -0.1148436963558197, 1.0441240072250366, -0.198846697807312, -1.0191197395324707, -0.7091414928436279, 0.7017337083816528, -0.029772352427244186, -0.23117290437221527, 1.326026201248169, -0.704010009765625, -0.7772440314292908, -0.22217318415641785, 0.4849790334701538, 0.2961542010307312, 0.40803489089012146, -0.4849136471748352 ]
113
0704.0115
Yoshifumi Ando
Yoshifumi Ando
Smooth maps with singularities of bounded K-codimensions
Typographic errors are revised and several expressions are modified to better ones
null
null
null
math.GT
null
We will prove the relative homotopy principle for smooth maps with singularities of a given {\cal K}-invariant class with a mild condition. We next study a filtration of the group of homotopy self-equivalences of a given manifold P by considering singularities of non-negative {\cal K}-codimensions.
[ { "created": "Mon, 2 Apr 2007 02:00:15 GMT", "version": "v1" }, { "created": "Mon, 9 Apr 2007 05:12:30 GMT", "version": "v2" } ]
2007-05-23
[ [ "Ando", "Yoshifumi", "" ] ]
07
[ 0.639792799949646, 0.06840016692876816, 1.1214596033096313, 0.9272441864013672, 0.06674501299858093, -0.11614508926868439, 0.17327654361724854, 0.3644482493400574, -1.767886996269226, -0.7230604887008667, -0.33504363894462585, 0.4095953702926636, -0.6166333556175232, -0.06210683658719063, -0.0703437328338623, -0.22557424008846283, -0.7463327050209045, 0.3199920058250427, -2.033231258392334, 0.25961199402809143, -0.3668428063392639, -0.8116405606269836, -0.31237468123435974, -0.3939737379550934, -0.32460764050483704, -0.9174734950065613, -0.3416077196598053, 0.08223896473646164, -0.4123210906982422, 0.20882853865623474, 0.7235857844352722, 0.28403037786483765, -2.423593044281006, 0.2699737548828125, -0.11403460800647736, 0.2739917039871216, -0.507080078125, 0.49726375937461853, -1.3677325248718262, 1.3579314947128296, 0.7384251356124878, -0.13351556658744812, 0.5557620525360107, 0.13711173832416534, 0.07400579005479813, -1.50291907787323, -0.047952309250831604, 0.6675819754600525, 0.31835120916366577, 1.3120195865631104, 0.3079646825790405, 1.182492733001709, -0.08541984111070633, -1.44351327419281, 1.4172914028167725, 0.7319634556770325, 0.6466799974441528, 0.08090434223413467, -0.6622864007949829, -0.8560137748718262, -0.3472338318824768, 0.7238904237747192, 1.0956686735153198, 0.9274972081184387, -0.5972555875778198, -1.5362768173217773, 0.10547972470521927, 0.9265609383583069, 1.3412768840789795, -0.3293055295944214, -0.7384868264198303, -0.4157324731349945, -0.21487365663051605, 0.8158019185066223, -0.7389942407608032, 0.1274390071630478, 1.2892414331436157, 0.1676098108291626, 0.18706104159355164, -0.380689799785614, -0.28660348057746887, 0.5991330742835999, -2.4320485591888428, 1.4533807039260864, 0.2245834469795227, -0.5740922093391418, 0.2229422628879547, 0.10258407145738602, 1.3615199327468872, 1.9372185468673706, 0.07834163308143616, 0.9705349802970886, 0.3917200565338135, 0.19313830137252808, -0.9284788966178894, -1.7760429382324219, 1.043149709701538, -0.03174399584531784, -0.1567869633436203, -0.0321795791387558, -1.0355020761489868, -0.6578946113586426, -0.11441612988710403, 0.8783050179481506, -0.5193701386451721, 0.3881785273551941, 1.9101629257202148, 0.4776381850242615, 0.5789902210235596, -0.45528194308280945, 0.6204932332038879, -0.5009759664535522, -0.07590373605489731, -0.19899480044841766, -1.7829538583755493, -0.024063628166913986, -0.4742667078971863, -0.4314490556716919, -0.7221794724464417, -1.129588007926941, -0.7544288039207458, 0.8321667313575745, 0.3717368543148041, -0.07911580801010132, -0.36998531222343445, -0.12003470957279205, -1.216367483139038, -0.425229012966156, -0.44763028621673584, -1.6486384868621826, -0.906934916973114, -0.30033090710639954, 0.12949404120445251, -0.7516380548477173, -0.5951346755027771, -0.19313554465770721, -1.7128286361694336, -0.8949590921401978, -0.40788590908050537, -0.16519315540790558, 1.158567190170288, 0.7534050345420837, -1.3288918733596802, -0.3065895736217499, 0.4174030125141144, -1.3644287586212158, 0.6011042594909668, 1.101550817489624, 0.48980188369750977, 0.2451532781124115, 0.18318094313144684, -0.3740009069442749, 1.0005125999450684, 0.34643685817718506, 0.22490492463111877, -0.587615430355072, -0.39672258496284485, 0.4889814555644989, 0.08500005304813385, -0.6849068999290466, -2.00689697265625, -0.2706969082355499, 0.42885997891426086, -0.1201678141951561, 0.12367609888315201, -1.3866037130355835, -0.6022772789001465, -1.205227255821228, 1.0045229196548462, 0.8230330348014832, -0.8362493515014648, -0.01377150323241949, 1.043432354927063, 0.23060472309589386, -0.012643934227526188, -0.33836042881011963, 0.43344441056251526, -0.254372775554657, -0.4047459363937378, 0.17130692303180695, -0.7535433173179626, -0.21322345733642578, -0.45289620757102966, 0.9101504683494568, 0.5296506881713867, -0.8531015515327454, -0.29310593008995056, -0.39981529116630554, -0.06722107529640198, 0.09762167930603027, -0.04614032804965973, -1.31976318359375, -0.6224250197410583, -0.10172014683485031, -0.2181178778409958, 0.5532187819480896, 0.188747376203537, 0.046509355306625366, 0.1633472442626953, 0.5177472829818726, 0.6193831562995911, -0.6660174131393433, 0.0556105338037014, -0.5546991229057312, -0.7608454823493958, 1.282384991645813, 0.6141807436943054, 1.3367244005203247, -0.376905620098114, -0.3960559368133545, 0.8614919185638428, 0.4167990982532501, -0.5252509713172913, -0.29254424571990967, 0.3125193119049072, -0.08290771394968033, 0.13164383172988892, -0.22587136924266815, -0.5195979475975037, 1.1198607683181763, 0.8068331480026245, 0.24474744498729706, -0.7929696440696716, 0.9586677551269531, 0.18793410062789917, 0.8907453417778015, 0.06959329545497894, -1.0409709215164185, 0.1775842159986496, -1.094138503074646, -0.09443211555480957, 0.06961636990308762, -0.48645922541618347, -0.08719632029533386, 0.266823947429657, -0.4864072799682617, -0.7148533463478088, -0.6277881264686584, -0.7354444861412048, 1.77444326877594, -1.089698314666748, -0.1633298397064209, -0.11461171507835388, -0.24672755599021912, 0.32489439845085144, 0.5585393905639648, 1.009188175201416, -0.0680135041475296, 1.0495723485946655, 0.46835777163505554, 0.07455998659133911, -0.3891381025314331, -0.4141830801963806, -0.9326459765434265, -0.3682868480682373, 0.2806732952594757, -0.25621265172958374, -1.245993733406067, -0.658857524394989, -0.6148577928543091, 0.41846951842308044, -0.4097592234611511, 0.5590296387672424, 0.9687106609344482, 0.3099840581417084, -1.1383552551269531, 0.07528695464134216, 0.21346566081047058, 0.2906046211719513, -0.31092721223831177, -1.448188304901123, 0.8353170156478882, 1.3548450469970703, 0.5944244265556335, -1.0935378074645996, -0.9562790989875793, 0.3151676654815674, -0.5877008438110352, -0.17350831627845764, -1.565595269203186, 0.38499915599823, -0.06353899836540222, -0.5897775292396545, 0.605032205581665, 0.7447535395622253, -0.23377645015716553, -0.24112822115421295, 0.5423800349235535, 0.6376425623893738, -0.39547550678253174, 1.1494826078414917, -1.2611634731292725, -1.181698203086853, 0.2701016366481781, -1.0586905479431152, -0.9825375080108643, -0.8420752882957458, -0.24491915106773376, -0.054044414311647415, -1.2216767072677612, 0.0482717864215374, -0.2737937569618225, 0.06139087304472923, 0.37351754307746887, 0.30891627073287964, 0.3007194995880127, -0.26615381240844727, -0.8033041954040527, 0.5028748512268066, 0.5393667817115784, -0.6462088227272034, 0.536059558391571, 0.9496163129806519, -1.1489238739013672, -0.4987579882144928, 1.6197229623794556, 0.9638068079948425, -0.4184431731700897, 0.7168887257575989, -0.64375239610672, -0.041503921151161194, 1.4239134788513184, 1.1988415718078613, 0.9679683446884155, 1.170195460319519, 0.04948366433382034, 0.4392525255680084, 0.27884891629219055, -0.34857723116874695, -0.7943754196166992, 0.7380244731903076, -1.0987296104431152, -0.1548996865749359, 0.15578728914260864, -0.07936398684978485, -0.23059386014938354, 0.3605126142501831, -0.4588632881641388, 0.19675883650779724, -0.02495119534432888, 1.3795245885849, 0.05984896793961525, -0.8808566331863403, -0.08310837298631668, 0.0028347771149128675, -0.6318526268005371, 0.2280985563993454, -0.04091540724039078, -0.042674630880355835, 0.7838939428329468, 0.09307678788900375, -0.24506373703479767, -1.1322479248046875, 0.009869315661489964, -0.18595841526985168, -0.37338781356811523, -0.049826331436634064, 0.20259663462638855, -0.32296261191368103, -0.0238912645727396, 0.6828636527061462, -0.15554872155189514, 1.3990435600280762, -1.24945867061615, 0.6479349136352539, 0.42817264795303345, 0.23741845786571503, -0.7490516901016235, 0.023789791390299797, -0.264799028635025, -0.6103430986404419, -0.24973434209823608, -1.0707231760025024, 0.3863478899002075, -0.40674683451652527, 0.607157826423645, -1.252870798110962, -0.20683827996253967, 0.23472163081169128, 0.1597038209438324, 0.9613029956817627, -0.25267845392227173, -1.1470426321029663, -0.8572564721107483, 1.0509722232818604, -0.3491338789463043, 0.7851172685623169, 0.14783188700675964, 0.26697829365730286, -0.5114481449127197, 0.3093276023864746, 0.1358160525560379, 0.30858713388442993, -0.3892940282821655, -1.0005491971969604, -0.18588750064373016, 0.19199016690254211, -1.2072488069534302, -0.44231975078582764, 0.663979172706604, -1.2226732969284058, -0.2897547781467438, -1.0461832284927368, -0.6446059346199036, 0.48748841881752014, 0.5235087275505066, -0.49332404136657715, 1.019822597503662, -0.2372906506061554, 1.1382157802581787, -0.4436812102794647, -0.24632881581783295, 0.07858775556087494, 1.2767785787582397, -0.6839087009429932, -0.702295184135437, -0.20960260927677155, -0.23734407126903534, 2.0428030490875244, -1.1193400621414185, 0.4004301130771637, 0.32244086265563965, -0.10477067530155182, 0.36561697721481323, 0.32473018765449524, 0.38296934962272644, 0.8420904278755188, 0.4904825985431671, -1.1197024583816528, -0.0014424135442823172, -0.05636691674590111, -0.42479264736175537, 0.23208066821098328, 0.003475362667813897, -0.6854584813117981, 0.34228986501693726, 0.11112264543771744, 0.8307603001594543, -0.18409866094589233, 0.7710076570510864, -1.2423996925354004, 0.7643179297447205, 0.15841032564640045, -0.25714778900146484, -0.3383191227912903, -0.8024717569351196, 0.6669130325317383, 1.4229915142059326, -0.2695121169090271, -0.4281260073184967, 0.4542909562587738, 1.016338586807251, 0.95003741979599, 0.004162115510553122, -0.10756397992372513, 0.6859562397003174, 1.236035943031311, -0.5950637459754944, 0.6274123787879944, -0.011522422544658184, -0.9746774435043335, 0.9501521587371826, 0.8499245643615723, -0.1433027982711792, 0.8271239399909973, 0.20157480239868164, 0.22518087923526764, -0.3642323315143585, -0.3273794651031494, 1.737358808517456, 0.46946626901626587, -0.71913743019104, 0.2855697274208069, -0.4185825288295746, -0.18696270883083344, -0.10173095762729645, -1.0001640319824219, 0.2268599569797516, 0.18634137511253357, 0.6688979268074036, 1.1458300352096558, -0.8880510926246643, -0.020343542098999023, 0.1428644061088562, -0.3370094299316406, -0.2812916934490204, 0.7897308468818665, -0.7405478954315186, -0.5709375143051147, 0.6196310520172119, 1.6258540153503418, 0.7644645571708679, -0.19248077273368835, 0.42401939630508423, -1.6594055891036987, 0.9844637513160706, -0.5091601014137268, -0.9353370070457458, -0.6181047558784485, 0.06662928313016891, -0.3722294569015503, 2.5712664127349854, 0.6287391185760498, -1.3729711771011353, -0.6780791878700256, 0.028089726343750954, -0.08217831701040268, 2.2908003330230713, 0.3187274634838104, 1.6200617551803589, -0.38960593938827515, -0.41021913290023804, 0.929579496383667, 0.8656339645385742, 0.5487330555915833, -0.4410201609134674, 0.08502912521362305, -2.0507314205169678, 0.04157575964927673, 0.4395385980606079, -0.45596399903297424, -0.27178511023521423, -0.4853929877281189, -0.3824859857559204, 1.3564561605453491, -0.3529103398323059, -0.5364683270454407, 0.7486603260040283, -0.3764161169528961, -0.09032155573368073, 0.7235534191131592, -0.1346757709980011, 0.05478699505329132, 0.08906664699316025, -0.5452112555503845, -0.6964597702026367, -0.3069801330566406, -0.22371751070022583, -0.7975866198539734, -0.2788568437099457, 0.2877853214740753, -1.0117052793502808, 0.20244522392749786, -0.7608458995819092, 1.3576253652572632, -0.4329698383808136, 0.40220907330513, -0.33946463465690613, 0.1288120001554489, 0.5889787077903748, 0.5885676741600037, -0.2880394756793976, 0.77677321434021, -1.2398260831832886, 0.2200300544500351, 0.5746631026268005, -6.51927375793457, 0.8365015983581543, 0.381833553314209, 0.28760427236557007, 0.30437761545181274, -0.23948444426059723, 1.1298882961273193, -0.3208831250667572, -0.40136802196502686, -1.2105176448822021, 1.9482194185256958, -0.005284596234560013, 0.2788834571838379, -0.2238868772983551, -0.15587402880191803, -1.0955709218978882, -1.6548150777816772, 0.4678689241409302, -0.8813887238502502, -0.623032808303833, -1.1003261804580688, -0.0029939417727291584, 0.12411421537399292, -0.4758550226688385, 0.011303499341011047, -2.4489500522613525, 0.09119581431150436, -0.9469518065452576, -0.44365671277046204, -0.3193654417991638, 0.08049076795578003, 0.7164769172668457, -0.4290964901447296, 0.7029139399528503, -0.8864672183990479, -2.0550613403320312, 1.0204721689224243, -0.1303902119398117, -1.033137321472168, -0.4353315532207489, 0.05300265550613403, -0.5455348491668701, -1.1791404485702515, 0.12070384621620178, 0.47308871150016785, -0.8820016980171204, -0.9394456744194031, 0.9411494135856628, 1.0727466344833374, 1.2197072505950928, -1.3802149295806885, 0.5103868842124939, -0.6615716814994812, -0.23967386782169342, 0.18961922824382782, 0.11183436214923859, 0.6113297343254089, -1.311970829963684, 0.3076804578304291, 0.42823919653892517, -1.6267915964126587, -1.3537856340408325, -0.2908152937889099, 0.37033623456954956, 1.08108389377594, -0.35959863662719727, -0.24638709425926208, 0.3029501140117645, 0.5210537910461426, 0.4938454329967499, -0.2106705754995346, -0.4285447299480438, 0.8686044216156006, 0.9602367877960205, -1.619187593460083, -0.869681715965271, -1.0230287313461304, 0.3300410211086273, 0.281273752450943, 0.5485149621963501, -0.1617690920829773, -0.0434846505522728, -0.7043312788009644, -0.11587826907634735, -1.1392821073532104, -1.1836801767349243, -0.029200080782175064, 0.8600086569786072, 0.6129908561706543, -0.6377958655357361, 0.3443147838115692, 0.8064166307449341, 0.3285338878631592, -1.1274230480194092, 0.18255747854709625, 0.07273421436548233, 0.6346917152404785, -0.893787145614624, -0.8522061109542847, 0.9008647203445435, -0.8226410746574402, -0.972425639629364, 0.7663252949714661, 0.3786596655845642, 0.7857325077056885, 0.7337936162948608, 0.02630225569009781, 1.16489839553833, -0.7165399193763733, -1.1746022701263428, -0.4513751268386841, -0.13105984032154083, 0.7118400931358337, -1.0155718326568604, 0.34831365942955017, 0.3643994927406311, -0.1438714563846588, 1.1143890619277954, -0.535202145576477, 0.051415398716926575, 0.7863343358039856, -0.833066999912262, 0.11241970956325531, 0.41516444087028503, -0.06227685511112213, -0.7778136730194092, -0.8777254819869995, -1.0213631391525269, -0.8159750699996948, -0.46179166436195374, 0.30753812193870544, 0.48881447315216064, -0.21454541385173798, -0.306964635848999, -0.8401181101799011, -0.9726333022117615, -0.06779087334871292, -0.5845529437065125, -0.5740073919296265, -0.674430787563324, -1.0783987045288086, 0.5945185422897339, -1.1188067197799683, 0.08635163307189941, 0.11788798868656158, 0.4669727683067322, 0.57647705078125, -0.4478394687175751, 0.44905343651771545, -0.3490430414676666, 0.23494231700897217, -0.3259570002555847, 0.7230851054191589, -0.09535611420869827, -0.34620702266693115, -0.5586358904838562, 0.7602609992027283, -0.2399568408727646, -0.02541070431470871, 0.5397457480430603, 0.3253163993358612, -0.26729345321655273, 0.22051098942756653, 1.7670749425888062, 0.07487883418798447, -0.5346434712409973, -1.0586129426956177, -0.8850588798522949, -0.30260583758354187, 1.1691594123840332, -0.11696405708789825, 0.011496380902826786, 1.032866358757019, 1.151665210723877, -0.2911294400691986, -0.07276248931884766, -1.6952565908432007, -0.36009401082992554, 0.11755511909723282, 0.7869850397109985, 0.4901558756828308, 0.1807556301355362, -0.34999993443489075, 0.6128988265991211, -0.1728786826133728, 1.2951524257659912, -1.189520239830017, -0.6568290591239929, -0.3162507116794586, 1.4494423866271973, -0.15542209148406982, -0.07322288304567337, -1.150530219078064, 1.1907919645309448, -0.7933785319328308, -0.14865736663341522, -0.4081651568412781, -0.26724007725715637, 0.5007147192955017, -0.6550682783126831, 0.07881755381822586, 0.18198010325431824, -0.014816587790846825, 0.2572775185108185, -1.0542954206466675, -0.8077324628829956, -1.2257897853851318, 0.1908775120973587, 1.2651948928833008, -0.5364890098571777, -0.021695535629987717, 0.10448326915502548 ]
114
0704.0116
Soon-Tae Hong
Yong Seung Cho, Soon-Tae Hong
Stringy Jacobi fields in Morse theory
4 pages, more references are added
Phys.Rev.D75:127902,2007
10.1103/PhysRevD.75.127902
null
math-ph hep-th math.MP
null
We consider the variation of the surface spanned by closed strings in a spacetime manifold. Using the Nambu-Goto string action, we induce the geodesic surface equation, the geodesic surface deviation equation which yields a Jacobi field, and we define the index form of a geodesic surface as in the case of point particles to discuss conjugate strings on the geodesic surface.
[ { "created": "Mon, 2 Apr 2007 02:05:10 GMT", "version": "v1" }, { "created": "Mon, 21 May 2007 04:49:53 GMT", "version": "v2" } ]
2008-11-26
[ [ "Cho", "Yong Seung", "" ], [ "Hong", "Soon-Tae", "" ] ]
07
[ 0.5372211933135986, 0.30798661708831787, -0.3021823763847351, 0.1465156227350235, 1.1409085988998413, 0.45864489674568176, -0.06438777595758438, 0.4855005443096161, -2.224134922027588, -0.6267286539077759, -0.05919766426086426, -0.15168878436088562, 0.12193799018859863, -0.33090952038764954, 0.4635619521141052, 0.5440728068351746, -0.9073354005813599, -1.010717511177063, -0.458474338054657, 0.32924115657806396, -0.7823382019996643, -0.7504236102104187, 0.16892600059509277, 0.11132875829935074, -0.7087773680686951, -0.9074509143829346, -1.2716714143753052, 1.0746837854385376, 0.08194131404161453, 0.2918136715888977, -0.08243958652019501, 0.20160652697086334, -0.9248042702674866, -0.10361915826797485, -0.03200998902320862, 0.7892653942108154, -0.9095785021781921, -0.02665696293115616, -0.6415515542030334, 0.20034314692020416, -0.2380940020084381, -0.10866814851760864, -0.09914663434028625, 0.24476072192192078, -0.5197218060493469, -1.0604530572891235, -0.12873858213424683, -0.1734115183353424, 0.49003416299819946, -0.2180945873260498, 0.5532518029212952, 0.8421561121940613, 0.45419642329216003, 0.591403603553772, 0.28339123725891113, 0.3876969814300537, 0.2776715159416199, -0.5174145698547363, -0.21652062237262726, -0.6425580382347107, -0.5412955284118652, -1.6423369646072388, 0.2622586190700531, 1.2347794771194458, 0.21612107753753662, -0.547679603099823, 0.08497890084981918, -0.43027859926223755, 1.7234482765197754, 0.5801771283149719, 0.7436919212341309, 0.417388379573822, -0.38982370495796204, -1.283423662185669, 0.5643388032913208, -0.8396378755569458, 1.1136043071746826, -0.6457672715187073, -0.16347083449363708, 0.3410918414592743, 0.1895953267812729, -0.13745363056659698, -0.3363235890865326, -0.3094734251499176, 0.41842028498649597, 0.02700442634522915, 0.2083941400051117, 0.30400270223617554, 0.18019457161426544, -0.23408758640289307, -0.1331852525472641, -0.8862279653549194, 0.17998939752578735, -0.1471080482006073, 0.1822018176317215, -0.7430129051208496, -0.7192137241363525, 0.6311549544334412, -0.6820287108421326, -1.1585923433303833, 0.15383955836296082, -0.39242982864379883, 0.3850145637989044, 0.06905166804790497, -0.15992774069309235, 0.30316829681396484, -0.7402065992355347, 0.8194717764854431, 0.34702354669570923, -0.35214343667030334, -0.16109782457351685, -0.30359888076782227, 0.10947583615779877, -0.8614222407341003, -0.8481866121292114, 1.574230670928955, -0.7976397275924683, 0.9324477314949036, -0.7595881223678589, -1.5247448682785034, -0.21280105412006378, 0.2886509597301483, 0.6019924879074097, -0.9410237669944763, 1.1620539426803589, 0.5556493401527405, -1.2409225702285767, -0.6571100950241089, -0.21420420706272125, -0.502069354057312, 0.0008653381955809891, -0.3963969945907593, 0.5737692713737488, -0.9461830258369446, -1.0207102298736572, -0.888481080532074, -0.06035911664366722, -0.2977135479450226, -0.3581008315086365, 0.2752113342285156, 0.0854920819401741, -1.3686360120773315, -1.0877461433410645, 1.6368234157562256, 0.6678870916366577, 0.30688703060150146, -0.9304060339927673, 0.042414113879203796, 0.9266491532325745, -0.4146530330181122, 0.22572748363018036, -0.8996468186378479, 0.26759931445121765, -0.5380880832672119, 0.012782001867890358, -0.7417104840278625, -0.45818257331848145, 0.7806667685508728, -0.1827828288078308, -0.09314817935228348, 1.089487910270691, 0.0003403475566301495, 0.5178866386413574, -0.8372669816017151, -0.2562478482723236, 0.3749355971813202, 0.8126976490020752, 0.29842686653137207, 0.1251043826341629, 0.27122631669044495, -1.544702410697937, -0.6545429825782776, 0.16049760580062866, -0.6937982439994812, 0.8836185336112976, -0.5665901303291321, 0.4996092617511749, -0.13891088962554932, 0.6286693215370178, -0.6867707967758179, -0.13823314011096954, -0.4197477102279663, 0.10310220718383789, -0.7823257446289062, -0.3581002652645111, -0.6003615856170654, 0.9730463624000549, -0.268349289894104, -0.33365148305892944, 0.18383817374706268, -1.00455904006958, -0.028317689895629883, -0.6021410226821899, -0.0934821143746376, 0.03333020210266113, 1.061370611190796, 0.6826161742210388, 0.8423056602478027, -0.37694668769836426, 0.05098286271095276, 0.9201453328132629, 0.635002076625824, -0.4208707809448242, -0.7692256569862366, -1.7246501445770264, 0.5516862273216248, 0.7053464651107788, 0.7602044343948364, -0.48164042830467224, 0.37337610125541687, -0.9227113723754883, 0.5683634877204895, 0.4953792095184326, -1.3280184268951416, -0.4471115171909332, 0.5371170043945312, 1.0789637565612793, -1.2701494693756104, 0.519815981388092, 0.719512403011322, -0.5058126449584961, 0.19564810395240784, 0.08974481374025345, 1.0332388877868652, -0.6002188324928284, 0.6294490098953247, 0.3055550456047058, 0.0474824495613575, -0.09271182119846344, -0.6614411473274231, -0.4617377519607544, -1.5093841552734375, -0.05597670003771782, -0.3250425159931183, -0.4763032793998718, -0.3634399473667145, -1.335928201675415, 0.13806016743183136, -0.08718632161617279, 0.8136412501335144, -0.6943174600601196, 1.8841102123260498, 0.79439377784729, -0.356248140335083, -0.5052619576454163, 0.9212930202484131, 0.5301755666732788, -0.15828299522399902, 1.337138295173645, 0.2997705638408661, -0.9308202862739563, 0.10179045051336288, 0.37052926421165466, -0.09346242994070053, -0.7625271677970886, -0.16840852797031403, -0.1608349084854126, -0.9365555047988892, -0.3137147128582001, 0.9511820673942566, -0.2779536545276642, -0.13990236818790436, 0.5314936637878418, -0.15976206958293915, -0.039690569043159485, -0.8742037415504456, -0.023115379735827446, 0.8185530304908752, -0.31049206852912903, 0.6176032423973083, -1.5018092393875122, -0.06446939706802368, 1.224606990814209, 0.636688232421875, 0.4794868528842926, -0.29126009345054626, -0.09123700112104416, -0.18701153993606567, 0.0013513666344806552, 0.2111387699842453, -1.4547053575515747, 1.3561536073684692, -0.6014651656150818, -0.4592246115207672, 0.05527816712856293, 0.35187986493110657, -2.1255462169647217, -1.0534080266952515, 0.6499520540237427, -0.5021533370018005, 0.7133004665374756, -1.1088231801986694, -0.6789060831069946, -0.08020668476819992, -0.42738398909568787, -2.279367685317993, -1.1844005584716797, 1.8459429740905762, 0.07838810235261917, 0.40520212054252625, -0.20681412518024445, -0.6001765131950378, -0.7012171745300293, -0.11962562054395676, -0.1222287192940712, 0.3342658281326294, -0.49022409319877625, -0.6853399872779846, -0.443668931722641, -0.8123944997787476, -0.4710353910923004, 1.255050539970398, -0.9158033728599548, -0.12419307976961136, 0.5454677939414978, -0.8351587057113647, -0.2583543062210083, -0.05399008467793465, 0.916984498500824, -0.7676562666893005, 0.7729214429855347, -0.046386487782001495, 0.6445450186729431, -0.8188735246658325, 0.11899520456790924, -0.7841371297836304, 0.13889090716838837, 0.7019016146659851, 0.015828631818294525, 0.9061643481254578, 1.5357729196548462, -0.5036793947219849, 0.9295644164085388, 0.42034274339675903, -1.4659062623977661, -0.8545413017272949, -0.6974772214889526, -0.2115020453929901, 0.08887901157140732, 0.3020175099372864, -0.9108974933624268, -0.16670994460582733, -1.3315569162368774, -0.5039913654327393, -0.48131227493286133, 0.21303366124629974, 0.35587993264198303, -0.6444414854049683, -0.712243378162384, 0.17891722917556763, -0.18897368013858795, 1.2572416067123413, -0.5882397890090942, 0.9200031757354736, -0.22604762017726898, 0.25156208872795105, 0.24527369439601898, 1.6328767538070679, -0.05614423379302025, 0.6917493939399719, 0.18800081312656403, 1.5562664270401, 0.07395720481872559, -0.3718225657939911, -0.04162336885929108, -0.048790689557790756, -0.39891883730888367, -0.37192919850349426, 0.20401126146316528, 0.9016067981719971, -1.180609941482544, -0.09749946743249893, -0.1569792777299881, -0.20309053361415863, -0.15755954384803772, 0.17217615246772766, 0.6644109487533569, -0.7341753244400024, 0.21430690586566925, -0.2740427851676941, 0.3412242829799652, -0.32869845628738403, 0.46234020590782166, -0.8967961072921753, -1.1880390644073486, 1.467916488647461, -0.43749913573265076, 0.07983595877885818, -0.3059785068035126, -0.07578200101852417, -0.45441678166389465, -0.44247862696647644, 0.6660789847373962, 0.3274049460887909, -0.8154870867729187, 1.9922771453857422, -0.6393312811851501, -0.43241557478904724, -0.12113285809755325, 0.21259993314743042, -0.09088447690010071, -0.523499608039856, -0.6624293923377991, 0.4232195019721985, -0.009841383434832096, -0.625901997089386, 0.7491535544395447, 0.6959240436553955, -0.8423813581466675, 0.8204368352890015, 0.16052453219890594, 1.2448498010635376, -0.4246211349964142, 0.7019715905189514, 0.4077121317386627, -0.3739117980003357, -0.7652544379234314, -0.7497345209121704, 0.2787069082260132, -0.05064002424478531, 0.02894916571676731, -0.2570745050907135, -0.08764296770095825, 0.3658788204193115, 0.10735195875167847, -0.6016126275062561, 1.4903039932250977, -1.0691267251968384, 0.054403092712163925, -0.4260305166244507, 0.34206274151802063, 0.6737546324729919, -1.3814146518707275, -0.6104638576507568, 0.010616856627166271, -1.3840757608413696, -0.6915549635887146, 1.4918973445892334, -1.2013708353042603, -0.5368431806564331, -0.6739602088928223, -0.09657371789216995, 0.05279877781867981, -0.7933549284934998, -0.818899929523468, 0.7292473316192627, -0.3332543969154358, 1.8204485177993774, -0.26816147565841675, -0.2840147316455841, -0.14541462063789368, -0.3741494417190552, -0.0413765013217926, -0.0701146051287651, 0.5756645202636719, 0.3011023998260498, 1.154707431793213, 0.4698542654514313, 0.03078809566795826, 0.08010891824960709, -0.5269909501075745, 0.8427830934524536, 0.598440408706665, -0.765606164932251, 1.3963408470153809, -0.8837013244628906, 0.515665590763092, 0.06223103776574135, -1.5429446697235107, 2.2491183280944824, 1.0603110790252686, -2.4082937240600586, -0.4020763039588928, -0.6463541388511658, 1.5010229349136353, -0.5988070964813232, -0.4030267596244812, -0.4850853383541107, 0.17168588936328888, 0.7230997681617737, 2.5241811275482178, 1.029517412185669, 0.18784095346927643, -0.20956265926361084, 1.1432167291641235, 0.4513322710990906, 0.752032458782196, -0.2911418378353119, 0.3863256871700287, 0.6579922437667847, -0.27549538016319275, -0.33364278078079224, -0.31615638732910156, 2.1023242473602295, -0.8966596126556396, -0.05652184784412384, 0.3735418915748596, 0.5446849465370178, -0.34817808866500854, 0.45294997096061707, 0.5298318862915039, 2.3988521099090576, 0.5812209248542786, -0.5396356582641602, -0.3601968288421631, -0.1312442421913147, -0.002202058443799615, 0.8683227896690369, 0.0355549193918705, -0.06464102119207382, -0.9440335631370544, -1.23108971118927, 1.1203241348266602, 0.012364591471850872, -0.08488523215055466, 0.12057317793369293, -0.5898165106773376, -2.8244731426239014, -0.452290415763855, 0.22917892038822174, 1.0543971061706543, -0.5754470229148865, 0.16791293025016785, -1.621775507926941, 0.4935629963874817, 0.14051862061023712, -2.288097620010376, -0.45837947726249695, -1.073843002319336, 0.34598106145858765, 0.596001386642456, -0.02815454825758934, 0.4403991103172302, -0.0723452940583229, -0.6039837598800659, -0.7357683181762695, -0.04922694340348244, 0.4457109570503235, -1.5025310516357422, 0.4401070773601532, 0.331228643655777, 0.6470968723297119, -0.6708561182022095, -0.7178505659103394, 0.7443149089813232, -0.6328807473182678, 1.0858386754989624, 0.031841766089200974, 0.5120245218276978, 0.7973331212997437, -1.1293225288391113, 0.23565076291561127, -0.8755552172660828, -0.04752486199140549, 0.14424480497837067, -0.4315355718135834, -8.1073637008667, 1.4256808757781982, 0.6204497218132019, 0.20691876113414764, 0.613114595413208, -1.6011724472045898, 0.2714060842990875, -0.1667095571756363, 0.8740501403808594, -0.26371586322784424, 2.038984537124634, -0.15578898787498474, -1.2556606531143188, -0.574324369430542, -0.019165022298693657, 0.5122479796409607, -0.16019216179847717, -0.6287647485733032, -0.01825753226876259, 0.9153244495391846, -0.32249993085861206, 0.07926160842180252, 0.4365288317203522, 0.21959559619426727, 0.8468088507652283, -1.082770586013794, -0.1710500717163086, -0.5222644805908203, 0.2373478263616562, 0.05094309151172638, -1.1541699171066284, 0.8580090403556824, -0.47065961360931396, 0.8139330148696899, -0.30950620770454407, -0.6418907642364502, 0.4944680631160736, -0.6846150755882263, 0.6413183212280273, 0.3094770610332489, 0.7671723365783691, -1.3940316438674927, 0.8030811548233032, -0.7862097024917603, 0.19494420289993286, 0.8887246251106262, 0.3996627628803253, 0.036025870591402054, 0.41245076060295105, -0.8425940871238708, -0.23713098466396332, -0.1363326758146286, 0.2727797329425812, -1.4864044189453125, 0.5790072083473206, 0.6093435287475586, -0.32607829570770264, 0.08419658988714218, -0.15856987237930298, 0.41000762581825256, 0.7007612586021423, -0.049879249185323715, 0.40637731552124023, 0.6865792870521545, -0.3304368257522583, -0.49022147059440613, 0.31985604763031006, -0.26335200667381287, 0.15285535156726837, 1.0023587942123413, -0.8052554726600647, 0.15929511189460754, -0.0279416311532259, 0.5576262474060059, -0.18284642696380615, -0.826932966709137, 1.061975359916687, 2.392223358154297, -0.23998872935771942, 0.40176302194595337, 0.8653005361557007, -0.9388212561607361, -0.01757070980966091, 0.465211421251297, -0.9116901159286499, -0.21253575384616852, -0.2576097548007965, 0.7205629348754883, 0.31109488010406494, -1.1858774423599243, -0.2847141623497009, 0.34660804271698, 0.1575436294078827, 0.1356288492679596, -0.0009771232726052403, 0.06131031736731529, -0.8359143137931824, -0.6293854713439941, -0.47540128231048584, -0.5890832543373108, -1.157395362854004, -0.9560300707817078, 0.7135953307151794, 0.26138028502464294, 0.5474931001663208, -0.05850105732679367, -0.674531102180481, -0.9325859546661377, -0.504385232925415, 2.0422677993774414, -0.6604416966438293, -0.7484855651855469, 0.3766099810600281, 0.07446669042110443, 0.059065744280815125, -0.3944454789161682, -0.5497267842292786, 0.4416727125644684, 0.8967713117599487, -1.3533748388290405, 0.37425947189331055, 0.6268287301063538, 0.9324489831924438, -0.6038931608200073, -0.9188691973686218, -0.16862888634204865, -0.12609660625457764, -0.2559354603290558, 0.28302618861198425, -0.29249975085258484, 0.4945969581604004, -0.3324356973171234, -0.6275631785392761, 0.2168344259262085, 0.025565797463059425, 1.1998158693313599, 0.4398975074291229, -0.23462027311325073, 0.7063086032867432, -1.0483720302581787, 0.0019273075740784407, -0.029215140268206596, 0.9459331631660461, 0.4855140149593353, 0.44462811946868896, -0.3026444911956787, -0.4818035960197449, -0.6036218404769897, -0.3092246353626251, -0.31693416833877563, 0.4766748547554016, 0.07827679067850113, 0.38257431983947754, -0.08764372020959854, -0.569783091545105, -0.25829562544822693, -0.005467114970088005, -0.04932316392660141, -0.32745081186294556, -0.6461578607559204, -0.6895037889480591, -0.10233892500400543, 0.12543636560440063, 0.9302214980125427, 0.8417526483535767, -0.4979546070098877, -0.28339987993240356, 1.074371099472046, -0.15670840442180634, -0.8033424615859985, 0.07175318896770477, 0.4808851480484009, -0.47907790541648865, 0.4808778464794159, -0.3206518590450287, 0.35565415024757385, -0.07902145385742188, -1.077825665473938, -0.025082863867282867, -1.6211588382720947, 0.2711378335952759, 0.20992861688137054, 0.43399590253829956, 0.6003387570381165, -0.08062253147363663, -0.16214825212955475, -0.2916015684604645, 0.343295156955719, 0.4668557941913605, 0.5107746124267578, -0.1515151709318161, 0.5932507514953613, -0.7028905153274536, 1.4313117265701294, -0.6764430999755859, -0.7016011476516724, -0.4389484226703644, 0.24468611180782318, 0.10021087527275085, -0.5121356844902039, -0.2406097650527954, -0.3092062473297119, -0.14427851140499115, -0.8203421831130981, -0.4726347327232361, -0.2250395566225052, -0.32052308320999146, 0.23375730216503143, 0.09482915699481964, -0.8581948280334473, -0.06806493550539017, 0.21164365112781525 ]
115
0704.0117
Mang Feng
T. Liu, K.L. Wang, and M. Feng
Lower ground state due to counter-rotating wave interaction in trapped ion system
Complete solution of a trapped ion in both strong and weak excitation regimes and beyond Lamb-Dicke limit. Also applicable to JC model relevant problems
null
10.1088/0953-4075/40/11/002
null
quant-ph
null
We consider a single ion confined in a trap under radiation of two traveling waves of lasers. In the strong-excitation regime and without the restriction of Lamb-Dicke limit, the Hamiltonian of the system is similar to a driving Jaynes-Cummings model without rotating wave approximation (RWA). The approach we developed enables us to present a complete eigensolutions, which makes it available to compare with the solutions under the RWA. We find that, the ground state in our non-RWA solution is energically lower than the counterpart under the RWA. If we have the ion in the ground state, it is equivalent to a spin dependent force on the trapped ion. Discussion is made for the difference between the solutions with and without the RWA, and for the relevant experimental test, as well as for the possible application in quantum information processing.
[ { "created": "Mon, 2 Apr 2007 03:04:49 GMT", "version": "v1" } ]
2009-11-13
[ [ "Liu", "T.", "" ], [ "Wang", "K. L.", "" ], [ "Feng", "M.", "" ] ]
07
[ 0.5502567887306213, -0.2950475513935089, -0.24904993176460266, -0.6558642983436584, -0.6469131708145142, 0.9163077473640442, 0.6567798852920532, -0.13567624986171722, -0.3204469382762909, -0.23002071678638458, 0.6555432677268982, -0.09694601595401764, -0.38805583119392395, 0.5722721815109253, -0.8725776076316833, -0.6255549788475037, -0.31861284375190735, -0.08150029182434082, 0.029803218320012093, 0.3654787540435791, 0.5022629499435425, 0.29648393392562866, 0.47721391916275024, -0.8551734089851379, 0.06375280767679214, 0.2337520867586136, 0.4821092486381531, 0.6483046412467957, -1.5323326587677002, 0.9048842191696167, 0.21585167944431305, -0.1029810681939125, -0.574417769908905, 0.24016770720481873, -0.5638667941093445, 0.17423710227012634, 0.6298000812530518, -0.43356090784072876, 0.14444373548030853, -0.014495805837213993, -0.9665372967720032, -0.009983217343688011, 0.4835929572582245, 0.08513513207435608, -0.2914159893989563, 0.1325758844614029, -0.636001706123352, -0.6783357858657837, -0.2598513066768646, 0.37690842151641846, 1.0594236850738525, 0.4887920320034027, 0.7615724205970764, -0.5909683108329773, -0.7248810529708862, -0.30670204758644104, -0.15603378415107727, 1.2900562286376953, -0.264971524477005, -1.0833979845046997, 0.3336218297481537, -0.11860684305429459, -0.5680710673332214, -1.8027247190475464, 0.3383055329322815, 0.31611934304237366, 1.7010607719421387, 0.4044920802116394, 2.047495126724243, 1.2189689874649048, -1.058577537536621, 0.23695825040340424, -0.08990155905485153, -1.018502116203308, 0.536493182182312, -0.2517540454864502, 0.04464947432279587, -0.5781259536743164, 1.728799819946289, -0.18965114653110504, 0.6292839050292969, 0.22248823940753937, -0.6574857234954834, -0.838088870048523, -0.07616964727640152, -0.8343487977981567, 0.6225478649139404, -0.27712252736091614, 0.23845753073692322, 0.7119240760803223, 0.486708402633667, -0.3405231237411499, 0.38100573420524597, 0.611580491065979, -0.01602158136665821, -0.15346679091453552, -0.4033294916152954, -0.8454403281211853, 0.07649828493595123, -1.2879596948623657, -0.12060952186584473, 0.0564112663269043, 0.6189865469932556, -0.2671036720275879, -0.17316189408302307, 0.7381723523139954, 0.12265010178089142, -0.23710834980010986, -2.3285140991210938, -0.2641865909099579, 0.9316700100898743, -1.746795415878296, 0.8847453594207764, -0.2522747218608856, 0.23420923948287964, -0.041726626455783844, -1.401010274887085, 1.377556562423706, 0.705939531326294, -0.32109135389328003, -0.010834598913788795, -0.4639013707637787, -0.6309386491775513, -0.05317680165171623, 0.24029092490673065, 0.24208471179008484, 0.39229556918144226, -0.3680097162723541, -0.3555139899253845, 0.11868355423212051, -0.41145581007003784, -0.4045247435569763, -0.0019321395084261894, 0.2059195190668106, 0.21007126569747925, -0.39319390058517456, -0.9245336055755615, 0.14333142340183258, 0.2842843532562256, -0.5412483215332031, 0.6957910656929016, 0.438454270362854, -0.6226301789283752, -1.1188359260559082, -0.5250992774963379, -0.666608452796936, -0.10619065910577774, 0.5548300743103027, 0.6517199873924255, 0.7040840983390808, -0.6963667869567871, -0.05386719852685928, 0.7035324573516846, -0.5403763055801392, -0.2791406214237213, 0.17719745635986328, -0.09651684761047363, 1.3646048307418823, -0.566127359867096, -0.08244829624891281, 0.6739476919174194, -0.4702983498573303, 0.6093601584434509, -0.8301584720611572, -0.9985783100128174, 0.3858860433101654, 0.20379796624183655, 0.7308645844459534, 0.03649928793311119, -0.04766793176531792, -0.6299089193344116, 0.8551596999168396, -0.8250875473022461, 0.9863762259483337, -1.276661992073059, 0.6241518259048462, 1.1102913618087769, -0.6165593266487122, -1.5125610828399658, 0.6496132612228394, 1.4972636699676514, -0.9287565350532532, -0.1862756460905075, 2.5421621799468994, -0.4629252851009369, -0.2578095495700836, 0.2982276976108551, -0.7975212931632996, -0.21330973505973816, 0.4930415153503418, 0.2822820246219635, -0.5835978388786316, -0.7321788668632507, 0.9843106865882874, -0.8801664113998413, 0.13737161457538605, 0.9060581922531128, 0.7265631556510925, -0.3845432698726654, 0.1861756443977356, 0.1301574409008026, -0.15672795474529266, -0.24092808365821838, 1.5461506843566895, 0.48244205117225647, -0.2135941982269287, -0.6013186573982239, -0.012679629027843475, -0.6993618607521057, -0.5724993944168091, -0.9454821944236755, -1.024287462234497, -0.7824888825416565, -0.05174023658037186, -0.9416927099227905, 0.38669687509536743, 0.0584099143743515, 0.09698324650526047, -0.5201447010040283, 1.045340657234192, -0.8187946081161499, 0.3204653859138489, -0.2618139684200287, 0.2609502673149109, -1.0092755556106567, 0.3952057957649231, 0.19265365600585938, 0.39589521288871765, -1.069836139678955, 0.10929781198501587, 0.4915958344936371, 0.12738841772079468, 0.932905375957489, -0.7397584319114685, 0.018233099952340126, -0.4492367208003998, -0.01446572970598936, -0.024737868458032608, -0.14151759445667267, -0.09410195052623749, -0.23342373967170715, -1.2996214628219604, 0.5379942655563354, -0.5072342753410339, 0.3722570836544037, -0.500117301940918, 0.4188888967037201, 0.09031195938587189, 0.533628523349762, 0.7285436987876892, -0.06691943109035492, -0.408834308385849, 1.202794075012207, 0.17991523444652557, 0.18275295197963715, 0.26763075590133667, -0.385256290435791, -0.12153206020593643, 0.06728707998991013, 0.5872747302055359, 0.33521080017089844, 1.3844738006591797, 0.7663908004760742, -0.43111565709114075, 0.6197906136512756, 0.31403040885925293, 0.8939927816390991, -0.9193296432495117, 0.34622785449028015, -0.5327524542808533, -0.010866902768611908, -1.2039703130722046, 0.047033850103616714, 0.24545493721961975, 0.1567499339580536, 1.8849048614501953, -0.18862761557102203, -0.8880478143692017, -1.2498891353607178, -0.9326551556587219, -0.010113810189068317, 1.7868083715438843, -0.9720408916473389, -0.405362993478775, -0.6446220874786377, -0.07612784206867218, 0.4391952455043793, 0.2656082808971405, 0.8609035015106201, -0.0037433872930705547, -0.05889264866709709, 0.8823165893554688, -1.1540147066116333, -0.6146306991577148, 1.2172974348068237, -1.4434329271316528, 0.28869539499282837, 0.08392159640789032, -0.797781765460968, -0.5508680939674377, -0.05534777045249939, -0.17354784905910492, -0.042144525796175, -1.433547019958496, 0.7618699073791504, -0.19077374041080475, 0.8245116472244263, 0.10462573170661926, -1.3390191793441772, -0.4873226284980774, -0.2941659688949585, 0.5488541126251221, -1.1523494720458984, -0.6244160532951355, -0.05375256389379501, -0.6767773628234863, 0.057200949639081955, -0.3186835050582886, -0.2719360888004303, -0.05234308913350105, -0.48786550760269165, 0.9924103617668152, 0.30578088760375977, 0.3726698160171509, -1.1417579650878906, 0.07143846154212952, 0.036478105932474136, 0.19093483686447144, 1.056656837463379, 0.12381339073181152, -0.11205898970365524, 0.7766351699829102, -0.5947028398513794, 0.4216378331184387, -0.4551488757133484, -1.2446998357772827, -0.4063202440738678, -0.2937549948692322, 0.7008605003356934, 0.3329103887081146, -0.3222940266132355, 0.9767113327980042, -0.10098578035831451, 0.518926203250885, -0.7964732050895691, 0.16646577417850494, -1.268387794494629, 0.1426466554403305, 0.3201828598976135, -0.5648913979530334, -0.9483265280723572, -0.7661806344985962, -0.39584535360336304, -0.42303529381752014, 0.8537883162498474, -0.4402617812156677, 0.8932220339775085, 1.569402813911438, 0.37927234172821045, -0.04540255293250084, 0.33092495799064636, 0.5736894011497498, 0.19751667976379395, -0.35008424520492554, 0.4379067122936249, 0.5453368425369263, -0.04965978115797043, -0.13172954320907593, -1.0783315896987915, -0.2342926561832428, -0.4477030634880066, 0.5155810713768005, -0.4810260832309723, 0.5490337610244751, -0.20499904453754425, -0.4233969748020172, -1.6162383556365967, 0.19953110814094543, 0.804305374622345, 0.5010825991630554, -1.508032202720642, 0.736980140209198, 0.3384004831314087, -0.44055479764938354, -0.1402081847190857, 0.9865391850471497, -0.0873076468706131, 0.2771852910518646, -0.5215165615081787, 0.26190805435180664, -1.0040420293807983, 0.027622388675808907, -0.3627152144908905, -0.25923293828964233, -0.7166563868522644, -0.1680401712656021, 2.7101247310638428, 0.38063058257102966, -1.0634890794754028, -0.43533599376678467, -0.9044108390808105, 0.9702767133712769, -1.2366682291030884, -0.3836319148540497, 1.789326548576355, 0.9268659949302673, -0.6308520436286926, -1.020900845527649, 0.454296737909317, 0.19958949089050293, 0.09325584024190903, 0.16022783517837524, 0.09998220205307007, -0.22754016518592834, 1.4246783256530762, -0.6778480410575867, -0.3906276822090149, 0.5196107029914856, 0.24368372559547424, 1.0854806900024414, -0.0021585188806056976, -1.2012906074523926, -0.3567180335521698, 0.6809272766113281, -0.020313242450356483, -0.013695229776203632, -0.5364298820495605, 0.024476487189531326, -0.8175668120384216, 0.07917515933513641, -0.20925948023796082, 0.4192541539669037, 1.048443078994751, 1.2253937721252441, 0.2860269844532013, -0.6102814078330994, 1.076645016670227, -0.4640595018863678, -0.23034247756004333, -0.032662324607372284, -1.0882554054260254, 1.3178411722183228, -1.0727193355560303, 0.13875257968902588, -1.8327884674072266, -0.9893686175346375, -0.6495709419250488, 1.315116047859192, 0.28802379965782166, 0.07543746381998062, 0.7984868884086609, 1.107432246208191, -0.12258540093898773, -0.7567353844642639, 0.28433462977409363, -0.927132248878479, -0.9117438197135925, 1.6369510889053345, -0.4818447530269623, 0.37238651514053345, -1.897940993309021, 0.5902541875839233, 0.6274349093437195, -1.092320442199707, -0.6054335236549377, -0.34441375732421875, 0.7727096676826477, -0.6995818018913269, -2.0143954753875732, 1.0121674537658691, 0.52254319190979, 0.48022323846817017, -0.8262174725532532, -0.06281624734401703, -1.2997236251831055, 0.5914456248283386, 0.9628196358680725, -0.7268798351287842, -0.6922758221626282, 0.588204562664032, 0.7578455805778503, 1.912505030632019, 0.4758208096027374, -0.5213168859481812, 0.35525184869766235, 0.5742010474205017, 0.24987755715847015, 0.37046685814857483, -0.8595882058143616, 0.8736787438392639, 0.711915135383606, -1.110110878944397, -0.4296741187572479, 0.03151204064488411, -0.10389920324087143, -0.33994388580322266, 0.08944819867610931, -0.3233644962310791, -0.6955424547195435, -1.031909704208374, 0.4591810405254364, 0.508497416973114, 0.035988952964544296, -0.6503773927688599, -1.3117297887802124, -0.27364450693130493, 0.051793456077575684, 0.11780224740505219, -0.14346355199813843, 0.6929025053977966, -0.4150499999523163, -0.566040575504303, 1.0013599395751953, 0.6531649827957153, 0.5684666633605957, -0.6203901767730713, 0.697437047958374, -3.070388078689575, 0.016940036788582802, -0.23860381543636322, 1.9266376495361328, 0.07095352560281754, 0.05208960548043251, 0.0835641622543335, -0.560352623462677, 0.3043871521949768, 0.4712783396244049, -0.7775713801383972, -1.004370093345642, -0.2113005667924881, -0.8318943381309509, -0.409545361995697, 0.20747388899326324, -0.44205600023269653, -0.1424899399280548, 1.5176737308502197, -0.2973502278327942, 1.7216417789459229, -2.421464443206787, -0.7916793823242188, 0.7466224431991577, -0.014889544807374477, -0.24470476806163788, -0.8350442051887512, -0.9825276732444763, -0.4318619966506958, -0.07532919943332672, 0.1921258419752121, -0.45241841673851013, -0.43355801701545715, -0.9501975178718567, 0.07165602594614029, -0.5415009260177612, -0.22194886207580566, -0.10154454410076141, 0.12938213348388672, -6.857954978942871, 0.13404257595539093, -0.5856287479400635, -0.5896617770195007, 0.10476149618625641, -0.25891512632369995, -0.2056376188993454, -0.18565377593040466, -0.05455516651272774, 1.122342586517334, 0.8050292134284973, 0.2373977154493332, -1.5830135345458984, -0.3184957206249237, -1.4466150999069214, -0.8860639333724976, 0.05426109954714775, 0.5201347470283508, -0.14786651730537415, 1.6137231588363647, -1.1021950244903564, 0.6749193668365479, -0.44250795245170593, -0.678276777267456, 1.5458537340164185, -0.13064582645893097, -0.05921918898820877, 0.568111002445221, -0.7195237874984741, -0.4646310806274414, 0.12934866547584534, 1.5727605819702148, -1.5077375173568726, 0.7693748474121094, -0.5481255650520325, -0.10078994929790497, 1.582092523574829, 0.4119628667831421, -0.16706091165542603, -0.755195140838623, 0.7335673570632935, -0.855226993560791, 0.7894819378852844, 0.8632722496986389, 0.25719115138053894, -0.005252308212220669, 0.4233705997467041, -0.7478190660476685, -1.0479892492294312, 0.2345597892999649, -1.298067331314087, 0.572476863861084, -0.16142626106739044, 1.0134649276733398, -1.437137484550476, -1.2544105052947998, -1.2594971656799316, -0.30820366740226746, -0.5126654505729675, -0.9656330943107605, -0.08962744474411011, -0.34980008006095886, -0.019559718668460846, -0.10772860050201416, -1.5758384466171265, -0.18867412209510803, -0.08634386956691742, 0.16554266214370728, 0.447738379240036, 0.843891441822052, 0.20464864373207092, -1.5724520683288574, -0.8973328471183777, 0.18638695776462555, -0.8126906156539917, 0.039160773158073425, -0.39251554012298584, 0.28298214077949524, 0.1399158537387848, -0.01067867036908865, 0.8890849947929382, 1.7759240865707397, 0.17304934561252594, 1.8479080200195312, -0.05303897336125374, -1.210152268409729, -0.35700732469558716, 1.0635954141616821, 0.11306644976139069, 0.16633370518684387, -0.11052826792001724, -0.18374471366405487, 0.2910786271095276, -0.5306358337402344, 1.3906890153884888, 1.295986294746399, 1.2451329231262207, -0.2444826066493988, -1.7635043859481812, 0.027156304568052292, -1.8396321535110474, -0.9149461388587952, -0.7958391904830933, 0.8709819912910461, 0.8137037754058838, 0.2678403854370117, -0.9021494388580322, 0.2701503336429596, -0.143916055560112, -0.6636030077934265, 0.8644493818283081, -0.5354401469230652, -0.09701067209243774, -1.0790202617645264, -0.11002041399478912, -0.6930529475212097, -0.38401177525520325, 0.08707759529352188, 0.3508712351322174, 0.037234656512737274, 0.8478900194168091, -0.43528124690055847, -0.5023772716522217, 1.224271297454834, 1.7194255590438843, -0.5192853212356567, 0.4662790596485138, -0.539673388004303, -0.9345694780349731, 0.04358880594372749, -0.22588787972927094, -1.055359125137329, -0.5391520261764526, -0.4074628949165344, -1.313706636428833, -0.26399558782577515, -0.8276962637901306, 0.47265303134918213, -0.04279524087905884, 0.2676912248134613, 0.2392081767320633, -0.03580194711685181, -0.3891902565956116, -0.07231566309928894, 0.3468204140663147, -0.8679466247558594, 0.2982460558414459, 0.44655078649520874, -0.10034877061843872, 0.7855618596076965, 0.9017046689987183, 0.293287068605423, 0.11539164930582047, 1.4433962106704712, -0.15616604685783386, 0.23920808732509613, 0.10009302198886871, -0.46464425325393677, -0.6222724318504333, -0.845252275466919, -0.15882565081119537, 1.0986051559448242, 0.5538359880447388, 0.7051806449890137, -0.5376790761947632, -1.6547759771347046, 0.1461961567401886, 0.629703164100647, -0.35209929943084717, -0.3077225089073181, -0.22480948269367218, 0.4811244308948517, -0.7194992899894714, -0.7559130191802979, -0.12498535960912704, 1.4427114725112915, -1.713112711906433, 0.5044466853141785, 0.3833155333995819, -1.0569779872894287, 0.42659592628479004, -0.16002368927001953, -0.10235854238271713, -0.02240413799881935, 0.43768197298049927, 1.0884450674057007, 0.40938928723335266, -0.4344508945941925, -0.2231123298406601, -0.3596290946006775, -0.6778262853622437, -1.0391005277633667, 0.8273288011550903, -0.09487035125494003, -0.3218371570110321, 0.7326524257659912, -0.04394711181521416, 0.48812413215637207, -1.2843525409698486, -0.4503931999206543, -0.11009238660335541, 0.15635238587856293, 1.3039021492004395, -0.2852576971054077, 0.2656154930591583, 0.29630863666534424, -0.04241034761071205, 0.9307015538215637, -0.4829181134700775, 1.3409537076950073, -0.7740392684936523, -0.8372923135757446 ]
116
0704.0118
Paul Welander
Paul B. Welander and James N. Eckstein
Strained single-crystal Al2O3 grown layer-by-layer on Nb (110) thin films
4 pages, 4 figures, submitted to Appl. Phys. Lett.
null
10.1063/1.2747675
null
cond-mat.supr-con cond-mat.mtrl-sci
null
We report on the layer-by-layer growth of single-crystal Al2O3 thin-films on Nb (110). Single-crystal Nb films are first prepared on A-plane sapphire, followed by the evaporation of Al in an O2 background. The first stages of Al2O3 growth are layer-by-layer with hexagonal symmetry. Electron and x-ray diffraction measurements indicate the Al2O3 initially grows clamped to the Nb lattice with a tensile strain near 10%. This strain relaxes with further deposition, and beyond about 5 nm we observe the onset of island growth. Despite the asymmetric misfit between the Al2O3 film and the Nb under-layer, the observed strain is surprisingly isotropic.
[ { "created": "Mon, 2 Apr 2007 04:31:34 GMT", "version": "v1" } ]
2009-11-13
[ [ "Welander", "Paul B.", "" ], [ "Eckstein", "James N.", "" ] ]
07
[ -0.5039843916893005, 0.5513743758201599, -0.281721293926239, -0.7664533257484436, 0.7499468922615051, 0.5927022695541382, 1.0577309131622314, 0.6077780723571777, -0.7478309273719788, -0.8366609811782837, -1.0651144981384277, -0.31564760208129883, 0.5356932878494263, -1.1121217012405396, -0.0016264006262645125, -1.2477418184280396, 0.09237142652273178, -1.1345824003219604, 0.0908636823296547, 1.2724714279174805, 0.561659574508667, -0.6518115401268005, 0.22017444670200348, -0.579042375087738, 0.14301703870296478, -1.1770087480545044, -0.9019140005111694, 0.08297603577375412, 0.17963285744190216, -0.13328950107097626, 1.1703050136566162, 0.13365130126476288, 0.4594879150390625, -0.34426349401474, -1.04774010181427, 0.09898865222930908, -0.2565178871154785, 0.16581334173679352, -0.8076035976409912, -0.6471699476242065, 0.23625564575195312, -0.8208646178245544, -0.6877592206001282, -0.67519611120224, 0.5651687383651733, -0.012348221614956856, -0.16625022888183594, 0.5126150250434875, 0.2217141091823578, 0.6579819917678833, 1.0657877922058105, 1.1985844373703003, 0.35611629486083984, -1.5335891246795654, -0.4587566554546356, 0.005439211614429951, -0.26645758748054504, 0.011439353227615356, 0.36624085903167725, -0.3462856411933899, 0.05868915840983391, -0.263830304145813, -0.3625161647796631, 0.4117913544178009, 0.4574850797653198, -0.5299853086471558, 0.19473481178283691, 1.0066452026367188, -1.2474299669265747, 0.46369653940200806, -0.3464055061340332, -0.41378796100616455, 0.29167404770851135, 1.6036208868026733, -0.4734037518501282, 0.29800984263420105, -0.5581679940223694, 0.4476150870323181, 0.771386981010437, -0.40006154775619507, -0.9161679744720459, 0.3094821274280548, 0.8653459548950195, -0.42526888847351074, 1.2853765487670898, -0.42052578926086426, 0.5207081437110901, 0.17947202920913696, -0.5881579518318176, 0.26665109395980835, 1.2571494579315186, -1.5754988193511963, -0.22515162825584412, 0.061846017837524414, -0.7337333559989929, 0.8092443346977234, 0.28707659244537354, -0.8651474118232727, 0.10128246247768402, 0.44571366906166077, -0.5888281464576721, -0.6794784665107727, 0.07530108839273453, -0.16051840782165527, -0.36115825176239014, 0.3680824339389801, 0.06282845139503479, 0.22255174815654755, -0.93166583776474, 0.8474755883216858, -0.37113359570503235, -0.2780122756958008, 0.21360360085964203, 0.6787181496620178, -0.8493289947509766, 0.4414909780025482, -0.3576584458351135, -0.4329391121864319, 0.29884475469589233, -0.8888302445411682, -0.6933618783950806, 0.18537183105945587, 0.5789009928703308, -0.159792959690094, 1.0649505853652954, 0.830197274684906, -0.4875316023826599, 0.4006158709526062, 0.8115850687026978, -0.8755099773406982, -0.19828487932682037, -0.8939658999443054, -0.23448581993579865, 0.45040029287338257, -0.2823919951915741, 0.14806437492370605, 0.2019519954919815, -0.6797865033149719, -1.3479819297790527, 1.0120943784713745, 0.6748793125152588, 0.7245578169822693, -0.3992807865142822, -1.0474271774291992, -1.1827549934387207, -1.5925692319869995, 0.16704033315181732, -0.03961043804883957, -0.8149816989898682, -0.9356139898300171, 1.2988526821136475, -0.9870613813400269, 0.9133762717247009, -0.03371945023536682, 1.2534469366073608, -0.3481358289718628, 0.3955833613872528, 0.6136211156845093, -1.3285424709320068, 0.3187364935874939, 1.828874111175537, 0.592871367931366, -0.3771510422229767, 0.17776326835155487, 0.16963966190814972, 0.7048259377479553, 0.34752073884010315, 1.0472590923309326, 0.7428920269012451, 1.189834713935852, -0.4041726291179657, 0.33995091915130615, -0.8011953830718994, -1.296282172203064, 0.9330718517303467, -0.06319685280323029, 0.8249865770339966, 0.5018572211265564, 0.0319664403796196, -0.08386451005935669, -1.8980135917663574, -0.03869691863656044, -1.0372668504714966, 0.0036537772975862026, 0.2747431993484497, -0.44845178723335266, -0.35889601707458496, -1.4705735445022583, 0.2669897973537445, 0.8905717730522156, -0.17220261693000793, -0.36339664459228516, -0.5547677278518677, 0.30824267864227295, 0.2736499607563019, 1.1889113187789917, 0.8408597111701965, 1.2414060831069946, -0.6653786897659302, -1.2391680479049683, 0.3862856328487396, 0.8612707257270813, -1.6228364706039429, 0.43676280975341797, -0.8041396141052246, -0.3221891522407532, 0.07221495360136032, 1.1524335145950317, 0.14310911297798157, -0.5352104306221008, -0.3414795398712158, -0.01608126610517502, -0.6010351181030273, 0.34319785237312317, 0.4873828589916229, 0.5550938248634338, -0.3097345232963562, -0.27280816435813904, -0.7755236029624939, -0.8866819739341736, 0.40057072043418884, 1.3516868352890015, 1.331704020500183, -0.8674827814102173, -0.7247567772865295, -0.8482975959777832, -0.09849320352077484, -0.38342639803886414, -0.2963874638080597, -1.7958500385284424, 0.7075791954994202, 0.011798730120062828, 0.8113669753074646, -0.37750178575515747, 0.714045524597168, 0.4515079855918884, -0.6931121349334717, 0.23690703511238098, 0.061693694442510605, 0.017395196482539177, -0.4188326895236969, 0.23493337631225586, 0.1408001035451889, 0.8889840245246887, 0.08092741668224335, -0.7523468732833862, 0.02455027773976326, -0.10097136348485947, 0.23514997959136963, -0.08001352101564407, -1.7531099319458008, -0.8120527267456055, 0.9004771709442139, -0.6360783576965332, 0.06784793734550476, -0.8190465569496155, 0.6153823733329773, -1.2623335123062134, 1.1384581327438354, 0.7315226197242737, 1.2831096649169922, -0.19024775922298431, 0.8310933113098145, -0.08241916447877884, -0.14715781807899475, 0.13983957469463348, 1.0594817399978638, 0.33332762122154236, 0.7566107511520386, -0.09293967485427856, -0.41040152311325073, -0.4590805768966675, -0.6269656419754028, 0.5473423600196838, 1.276732087135315, 0.22442299127578735, -0.49426379799842834, 0.30789914727211, -0.11933499574661255, -0.054603297263383865, -0.1832328885793686, -1.691177487373352, 0.1540748029947281, 0.24908201396465302, -0.40399184823036194, -0.8241363167762756, -0.021853309124708176, -0.5881741046905518, -0.5897716879844666, -0.6342583894729614, 0.5786002278327942, 0.6791853904724121, 0.38037624955177307, -0.32085004448890686, 0.29340898990631104, 0.9591728448867798, 0.2936796545982361, -0.35553979873657227, 0.5457329750061035, 0.0018896042602136731, -0.6406017541885376, -0.010367603972554207, 0.3585096299648285, 1.1770950555801392, -0.4978986382484436, -0.6714837551116943, 1.3057690858840942, 0.7708455324172974, -0.18321233987808228, -0.18513619899749756, 0.15242844820022583, 1.5711889266967773, 0.383954793214798, 0.2133088856935501, 1.4197280406951904, -1.222097635269165, -0.652926504611969, -0.5601263642311096, -0.41223013401031494, -0.6748116612434387, 1.1350762844085693, 0.4283514618873596, -0.7115567326545715, 0.7210994958877563, -1.4732370376586914, -1.4246636629104614, 0.9670329093933105, 0.18468143045902252, 0.5188618302345276, 0.01641850732266903, -0.10560397058725357, -0.5824200510978699, 0.547457754611969, 1.1627399921417236, 0.7460386753082275, -0.33875834941864014, 0.41104137897491455, -0.3730500042438507, 1.0649982690811157, -0.5889866352081299, 0.36262279748916626, 0.8929095268249512, -0.5177204012870789, 0.8432285785675049, -0.2794229984283447, 0.026379479095339775, -1.715921401977539, 1.00404953956604, -0.9584672451019287, 0.32020285725593567, -1.0494803190231323, 2.0167365074157715, -0.3459819257259369, 0.46245697140693665, -0.19303759932518005, -0.15341509878635406, 0.5395010113716125, 0.9050050377845764, 0.017811935395002365, 0.1294611394405365, -1.0171618461608887, -0.5581172108650208, 0.32152730226516724, -0.6726198196411133, 1.134676456451416, -0.47026634216308594, -0.34507301449775696, -0.33134526014328003, 0.0035136507358402014, -0.1650618314743042, -0.7373311519622803, 0.27091991901397705, 0.17270401120185852, -0.2094031125307083, -0.24758851528167725, -0.5115114450454712, -0.6033523082733154, -0.21022899448871613, -0.1616353690624237, -0.3364405930042267, -0.3821338415145874, 0.41400158405303955, 0.9935356378555298, 0.13656525313854218, -0.5087450742721558, 0.3313583433628082, -1.2866185903549194, 0.6866386532783508, -0.6898995041847229, 0.4541222155094147, -0.6942287683486938, -0.5958575010299683, -0.014633101411163807, -0.6779883503913879, -0.46900248527526855, 0.6500001549720764, 0.6280016303062439, 1.150933027267456, 0.4195800721645355, -0.12452301383018494, -0.0928780734539032, -0.009222528897225857, 0.28320571780204773, -1.5746486186981201, 0.4398145377635956, -0.23206816613674164, -0.30075597763061523, 1.2007505893707275, -1.043786883354187, -0.93386310338974, -1.0414305925369263, -0.534650444984436, -0.23054297268390656, -0.08930180221796036, 0.19900979101657867, 0.1039683148264885, -0.29976141452789307, -0.0814519077539444, -0.07825956493616104, -0.3866555690765381, -0.0021262045484036207, 0.7246310710906982, -0.26480716466903687, -0.4027474820613861, -0.1501023918390274, -0.07847437262535095, -0.10335511714220047, 0.24198666214942932, 1.4693453311920166, 0.1670406013727188, -0.6880075335502625, -0.7049014568328857, -0.9752066135406494, -0.2731833755970001, -0.1856849640607834, -0.0030070936772972345, -0.18458180129528046, -0.3679264783859253, 0.18640334904193878, 1.1257864236831665, -0.8380373120307922, -1.0056860446929932, -0.7584330439567566, -2.0838589668273926, 0.4181837737560272, 0.06594692170619965, -0.19082440435886383, 0.6043798327445984, -1.222017765045166, -0.3164927065372467, -0.6572104096412659, 0.30173689126968384, 0.22751611471176147, -1.7361618280410767, -0.04055838659405708, 0.23968783020973206, -0.8277212977409363, 0.31616348028182983, -0.9294751882553101, 0.4149959087371826, -0.17931562662124634, -0.1108807846903801, -0.27442532777786255, -0.12672929465770721, 0.158463254570961, 0.040767621248960495, 0.1701602190732956, -0.2860684096813202, 0.558653712272644, 0.04450331628322601, -0.12636281549930573, -0.28985729813575745, 0.6574444770812988, 1.5812499523162842, 0.15151886641979218, 0.12051738053560257, 0.7205307483673096, -0.7344323992729187, -0.7990661859512329, 0.38978397846221924, -0.8097127079963684, 0.4233114719390869, -0.42440861463546753, -1.1191201210021973, 0.1355701982975006, 0.4335286021232605, -0.7790476679801941, -0.6836640238761902, 0.023245900869369507, 0.20057444274425507, -0.8700063228607178, 0.09716105461120605, 0.3132643401622772, 0.6568300127983093, 0.6580283045768738, -0.48528507351875305, 0.5880377292633057, 0.1363983303308487, 0.34911414980888367, 0.20383639633655548, 0.04000226408243179, 0.24709728360176086, 0.3547598421573639, -0.04169182479381561, -0.9471490979194641, -1.2875691652297974, -0.9338659048080444, -0.18797728419303894, -0.15726488828659058, 0.3328588902950287, -0.5689384937286377, -0.2249869406223297, 0.28985098004341125, 0.11242256313562393, -0.7904249429702759, 0.14677958190441132, -1.0467523336410522, -3.0551934242248535, 0.8371884226799011, -2.0551836490631104, 0.3061249852180481, 0.08630401641130447, -0.7349649667739868, 1.348591685295105, -0.6076265573501587, -0.2562956213951111, 1.6216044425964355, 0.11027839779853821, 0.240931436419487, -0.665122926235199, -0.04485294595360756, 0.35466134548187256, 0.4527299404144287, -0.14120233058929443, 0.16687984764575958, -0.4640917479991913, 0.15378281474113464, -0.6045697331428528, 0.35248279571533203, -0.6589231491088867, -0.4213815927505493, 0.2647356390953064, -0.13386283814907074, -1.0911529064178467, -0.8221546411514282, 0.7485508918762207, -0.40308642387390137, -0.3639245629310608, -1.1549992561340332, 0.007335787173360586, 1.6673673391342163, -0.9726747274398804, 0.5143321752548218, 0.4775364398956299, 0.38265514373779297, -0.06566829234361649, -7.951936721801758, -1.4942436218261719, -0.0026132173370569944, -1.9937646389007568, 0.7376164793968201, -0.44711536169052124, -1.2221580743789673, -1.0201773643493652, 0.45895203948020935, 0.2801157832145691, 0.6167894601821899, -0.1384524405002594, 0.6738935708999634, -0.12385667115449905, -0.419405460357666, -0.4426785707473755, -1.1206552982330322, 0.18660080432891846, -0.3170474171638489, 1.698164939880371, -0.8767989873886108, -0.15702728927135468, 0.14833879470825195, 0.3593650162220001, 0.7536920309066772, 0.6939107179641724, -0.540188193321228, -1.5393701791763306, -0.34619542956352234, 1.1389796733856201, -0.42428454756736755, -0.48680201172828674, -0.30142655968666077, 0.2827368676662445, 2.090790271759033, 0.038395434617996216, -0.43973591923713684, 1.5629843473434448, 0.17307038605213165, -0.4960685074329376, 0.16234996914863586, 0.349286824464798, 0.2454829066991806, -1.747035026550293, -0.5815232992172241, -0.22375868260860443, -0.17551878094673157, 0.2625177204608917, 0.5257217884063721, 0.3398868143558502, 0.42695051431655884, 0.49638521671295166, -0.718585193157196, 0.7459278702735901, -0.547119677066803, 0.1552603393793106, -1.5700949430465698, 0.20729811489582062, -0.755216658115387, -0.10005653649568558, -1.030407190322876, 0.2532079219818115, -0.4405630826950073, 0.4536616802215576, 0.920420229434967, 0.02707475610077381, 0.6294363141059875, 0.18938350677490234, 0.7642914056777954, 0.1691732108592987, -0.3007694184780121, -0.7298927903175354, 0.0173067394644022, 0.22084753215312958, -0.8575601577758789, 0.7383477091789246, 0.8198168873786926, 0.8558376431465149, 0.6071350574493408, 1.8430732488632202, 1.436648964881897, 1.776142954826355, -0.463837593793869, -0.8151350617408752, -0.29020917415618896, -1.741963505744934, -0.34867119789123535, 0.38750147819519043, 0.17490866780281067, 0.21027764678001404, 0.3261370360851288, 0.34439510107040405, -0.6103799343109131, 0.8612337112426758, 0.4677382707595825, -0.14504140615463257, -0.13653211295604706, -0.2870888113975525, 0.46692633628845215, 0.024045569822192192, -0.0673050731420517, -0.1391855925321579, -1.3820949792861938, 0.1673983633518219, -0.2253863662481308, -0.35296109318733215, -0.3645976185798645, -0.40144282579421997, 0.018320584669709206, 0.607772946357727, 0.7716695666313171, 0.6163650155067444, -0.0908399373292923, 0.9011214375495911, 0.09573512524366379, 0.9804612994194031, -0.47973623871803284, 0.2425566166639328, -0.0909782350063324, 0.8088148832321167, 0.6700796484947205, -0.3266139626502991, -1.1561124324798584, -0.19333994388580322, -0.029737910255789757, -0.5011881589889526, 0.5981107950210571, -1.0287578105926514, 0.20990201830863953, 0.2600601613521576, 0.06992632150650024, -0.06545747816562653, -1.1903799772262573, 0.6297200918197632, 0.8047462701797485, -0.6654796600341797, -0.6560735702514648, 0.06237718090415001, 0.07033698260784149, -1.7876306772232056, 0.020158033818006516, 1.3651847839355469, 0.9960355758666992, -1.482563853263855, -0.35703393816947937, -1.1360198259353638, 0.15634050965309143, 1.0895965099334717, -0.9033735990524292, -0.588493287563324, -0.22787320613861084, -0.8873572945594788, 0.3633940517902374, 0.2319260686635971, 0.39622795581817627, 0.6787548661231995, -0.050268322229385376, -0.5937865376472473, 0.26335933804512024, 0.10166056454181671, -0.2377179116010666, -0.3287298381328583, 0.4569505453109741, -0.5881444811820984, -0.6534817218780518, 0.3221147656440735, 0.5971153974533081, -0.49751168489456177, -0.08678930997848511, -0.677259624004364, -0.11600310355424881, -0.8852065205574036, -0.6046136021614075, -0.25304922461509705, 0.02900136075913906, 0.04310137778520584, -1.0255969762802124, -0.40204259753227234, -0.20108400285243988, -1.240609049797058, -0.19004975259304047, 0.5287647247314453, -1.1278252601623535, -0.02821401320397854, -0.18370051681995392, 1.1640427112579346, 0.9305101037025452, 0.1911863386631012, -0.6278905868530273, 0.6986714601516724, 0.966101348400116, -0.09473174810409546, -0.6338653564453125, 0.9457666277885437, -1.0252118110656738, 0.9447378516197205, -0.42141255736351013, 0.060353830456733704, -0.1392054706811905, 0.3430468738079071, -1.1818432807922363, 1.910841464996338, -0.5127066969871521, 0.3507188856601715, -0.3463991582393646, 0.9013396501541138, -0.19471997022628784, -0.32196491956710815, 1.067322850227356, 0.6363116502761841, -0.40786322951316833, -0.7162818312644958 ]
117
0704.0119
Arumugam Thamizhavel
A. Thamizhavel, R. Kulkarni and S. K. Dhar
Quasi-quartet crystal electric field ground state in a tetragonal CeAg$_2$Ge$_2$ single crystal
2 pages, 2 figures, Submitted to the proceedings of SCES-07, Houston
null
10.1016/j.physb.2007.10.244
null
cond-mat.str-el
null
We have successfully grown the single crystals of CeAg$_2$Ge$_2$, for the first time, by flux method and studied the anisotropic physical properties by measuring the electrical resistivity, magnetic susceptibility and specific heat. We found that CeAg$_2$Ge$_2$ undergoes an antiferromagnetic transition at $T_{\rm N}$ = 4.6 K. The electrical resistivity and susceptibility data reveal strong anisotropic magnetic properties. The magnetization measured at $T$ = 2 K exhibited two metamagnetic transitions at $H_{\rm m1}$ = 31 kOe and $H_{\rm m2}$ = 44.7 kOe, for $H \parallel$ [100] with a saturation magnetization of 1.6 $\mu_{\rm B}$/Ce. The crystalline electric field (CEF) analysis of the inverse susceptibility data reveals that the ground state and the first excited states of CeAg$_2$Ge$_2$ are closely spaced indicating a quasi-quartet ground state. The specific heat data lend further support to the presence of closely spaced energy levels.
[ { "created": "Mon, 2 Apr 2007 04:25:54 GMT", "version": "v1" } ]
2009-11-13
[ [ "Thamizhavel", "A.", "" ], [ "Kulkarni", "R.", "" ], [ "Dhar", "S. K.", "" ] ]
07
[ -0.7057289481163025, 0.1836124211549759, 0.4981415569782257, 0.5287718176841736, 0.02174941822886467, 1.0333601236343384, 0.5014070868492126, 0.7879613637924194, -0.555992066860199, 0.49353691935539246, -0.7823625802993774, -1.0850838422775269, 0.8878999352455139, -0.32623058557510376, 0.06087319180369377, 0.6660647392272949, 0.1614646166563034, 0.4272683262825012, 0.8181263208389282, 1.4001176357269287, 0.6700873374938965, 0.16458259522914886, 0.09057918190956116, -1.4870195388793945, -0.5162729620933533, -0.5684873461723328, -0.17098447680473328, 0.05390503257513046, -0.44897350668907166, 1.0615174770355225, 0.5874479413032532, -0.4683679938316345, 1.1982749700546265, 0.4460321366786957, 0.2498132735490799, 0.18815621733665466, -0.1218838021159172, 0.20429624617099762, -1.4226821660995483, 0.24646776914596558, 1.2481439113616943, -0.1462659388780594, -0.8347092270851135, 1.116873860359192, -0.6354627013206482, -0.30965131521224976, -0.03747549280524254, -0.5736815929412842, -0.5056716799736023, -0.8607503771781921, -0.30416056513786316, -0.3844010829925537, 0.03491343930363655, -0.41919997334480286, 0.7460823655128479, 1.0304522514343262, -0.2265145629644394, -0.1469697207212448, -0.2491113543510437, 0.7957130074501038, 0.3706398904323578, -1.035445213317871, 0.14633049070835114, 0.9085369110107422, -0.6018424034118652, 0.5789175033569336, -0.5525233149528503, -0.7444220185279846, 0.7815477252006531, -0.49253928661346436, -0.34314170479774475, -0.13284637033939362, 0.4836755394935608, -1.2014092206954956, -0.24847017228603363, 0.43589261174201965, -1.1896950006484985, 1.1035712957382202, 0.37120863795280457, -0.3555120527744293, 0.1681331843137741, 1.3962312936782837, -0.047355324029922485, -0.5264615416526794, 1.3451343774795532, -0.014338336884975433, 0.8424559831619263, 0.02365952916443348, 0.6241663098335266, -0.17059102654457092, -0.2320767641067505, 0.05383280664682388, -0.06103646755218506, 0.23742397129535675, 0.3478184640407562, 0.7942361831665039, -0.897727370262146, -0.7160824537277222, -0.07990684360265732, 0.3616026043891907, -0.42604658007621765, 1.2451739311218262, -0.4438275992870331, -0.36969098448753357, 0.13349947333335876, 0.25511375069618225, 0.04585312306880951, -2.4556891918182373, -0.8010843992233276, 1.2677278518676758, -0.3071533143520355, -0.9112226963043213, 0.4031318426132202, 0.10166625678539276, -0.8826839327812195, 1.3697905540466309, -0.0566367469727993, 0.6639276742935181, 0.33102667331695557, -0.14965635538101196, 0.31441813707351685, 0.25874432921409607, 0.0031066073570400476, -0.8383421301841736, 0.06253666430711746, -0.41529014706611633, -1.1726176738739014, -0.8717032074928284, 0.5536132454872131, -2.4846091270446777, 1.0212352275848389, -0.9435084462165833, -0.1430627703666687, -0.14103735983371735, -0.7123553156852722, 0.7133537530899048, -0.3204739987850189, 0.13747522234916687, -0.011835575103759766, 0.3450659215450287, 0.5976620316505432, -0.4341723322868347, -0.5554736256599426, -1.1546566486358643, 0.4211045205593109, -0.24393388628959656, -0.9486140012741089, -0.3669539988040924, -0.052492473274469376, -0.610419750213623, 0.4866679608821869, 1.2028321027755737, 0.9433165192604065, 0.7414969801902771, 0.11938439309597015, -0.03439992666244507, 0.9301688075065613, -0.5863881707191467, -0.5083805322647095, 1.985256314277649, 0.1121344119310379, 1.2317609786987305, -1.0600813627243042, -1.1045151948928833, -0.7185713052749634, -0.8220545053482056, 0.17218603193759918, -0.5152629017829895, 0.46803876757621765, 1.0113385915756226, 0.8746681809425354, -0.3723090589046478, -0.8101590275764465, -0.792463481426239, -0.5850581526756287, 0.5432233810424805, 0.6753011345863342, -0.33866140246391296, 0.2304358333349228, -0.05714952573180199, -0.7155606746673584, -0.32793134450912476, -0.19906601309776306, 0.3056892156600952, 0.5615177750587463, -0.010160991922020912, -0.4559372067451477, -2.132258892059326, -0.4237901270389557, 0.19744396209716797, 0.24058182537555695, -0.5516385436058044, -1.714756965637207, -1.0580765008926392, -0.4546372592449188, 1.6339881420135498, 1.6027852296829224, 2.4306304454803467, -0.8029592037200928, -1.3000322580337524, -0.5347197651863098, 0.45273154973983765, 0.44904324412345886, -0.27625468373298645, -2.093134641647339, 0.6873193979263306, 0.2567853331565857, -0.9552077054977417, 0.36664557456970215, 1.122902512550354, -0.3023969829082489, 0.7060713171958923, -1.2960654497146606, 0.034826911985874176, 1.3485939502716064, -0.9077545404434204, 1.0465480089187622, -1.0989900827407837, -0.28294771909713745, 0.3629061281681061, 0.17691655457019806, 0.8066458702087402, 0.01106050331145525, 0.4704466164112091, 0.8063222169876099, 0.7014794945716858, -0.1016436442732811, -0.32236549258232117, -0.4467081129550934, 0.36131390929222107, 0.4690161645412445, 0.008089209906756878, -0.26853203773498535, -0.5168611407279968, -0.9947144389152527, -0.3072030544281006, 0.12903718650341034, -0.4418695271015167, 0.36150214076042175, 0.8842406272888184, -0.4017409086227417, 0.6895541548728943, 0.20617416501045227, 0.832099199295044, -1.344267725944519, -0.5117524266242981, -0.14977210760116577, 0.2652546465396881, 0.5299825072288513, 0.11129254847764969, 0.07825397700071335, -0.0520331896841526, 1.2224498987197876, -0.30615174770355225, -0.41637006402015686, 0.07068204879760742, 0.2849137783050537, -0.3445720970630646, -0.23707227408885956, 0.7500934600830078, -1.0447884798049927, -0.9656841158866882, 0.32809415459632874, 1.0466784238815308, -0.25309988856315613, -0.10522899031639099, 0.40768861770629883, -0.6770064234733582, 0.290259450674057, -1.186505913734436, -0.4721996486186981, 0.27758386731147766, -0.13939379155635834, 1.06443452835083, 1.3791441917419434, -1.08965003490448, -0.7431954741477966, -0.19570417702198029, -0.24488729238510132, 0.4096662104129791, 0.8054749965667725, 1.134162425994873, 0.15157967805862427, -0.29272449016571045, 1.137664556503296, -1.14292311668396, -0.22346100211143494, 0.18287047743797302, -0.11767762154340744, 0.024230100214481354, -0.8198947906494141, -0.11798088252544403, 0.1461620181798935, -0.826915442943573, 0.2777692377567291, -0.0888148620724678, -0.12120371311903, -1.8433388471603394, 0.5976377129554749, 0.7790861129760742, 0.031771253794431686, -0.28128746151924133, 0.4528460204601288, 0.15195024013519287, -0.15350230038166046, 0.3345475494861603, 0.8722062706947327, -0.12784446775913239, 0.07841717451810837, 0.3550111949443817, -1.4168728590011597, 0.10067610442638397, 1.1360138654708862, -0.21776358783245087, 0.903795599937439, -1.5791467428207397, -0.11256281286478043, -1.0823241472244263, -1.344533085823059, -0.010616553016006947, 0.13262395560741425, 0.6586535573005676, 0.8975412249565125, -0.2506072223186493, -0.7633569240570068, -1.3204853534698486, -2.121403932571411, -0.2424149215221405, -0.967703104019165, 0.6200314164161682, -0.4413262605667114, 0.37699002027511597, 0.21884684264659882, -0.2368539273738861, 0.7141114473342896, 0.12097454816102982, -1.6671582460403442, 0.323379784822464, 0.1424601674079895, -0.5448311567306519, -0.30808186531066895, 1.9790985584259033, 0.5598681569099426, -0.5245348811149597, 0.5398825407028198, 0.22288388013839722, 0.24950282275676727, 0.7081146836280823, -0.29030129313468933, -0.8797105550765991, -0.41822388768196106, -0.5838518738746643, 0.3566887080669403, 0.15575143694877625, -0.3792807459831238, 0.12475346028804779, 0.1153469979763031, 2.818171739578247, 0.7184014916419983, -0.0983719527721405, -1.0437690019607544, -0.4451228380203247, 1.103563904762268, 0.06757579743862152, 0.7852503061294556, 0.31698864698410034, -0.6664055585861206, 0.025853747501969337, -0.5021144151687622, -0.2144535928964615, -1.0148450136184692, -0.41359609365463257, 0.11263792961835861, 0.5125945806503296, -0.20190922915935516, -0.0707327350974083, -2.255669355392456, 0.48597225546836853, -0.23843562602996826, -0.7243077754974365, 0.34195876121520996, -0.6961926817893982, 1.2220700979232788, 0.39871957898139954, 0.9635054469108582, 0.37436383962631226, 0.9732691049575806, -0.3185599446296692, 0.08265946805477142, 0.3196031153202057, -0.46236005425453186, 0.46935608983039856, 0.26665109395980835, -0.2645740211009979, -0.5818723440170288, 1.56197190284729, 0.8257226347923279, 0.12939658761024475, -0.8273212909698486, 0.559819757938385, -0.001522038597613573, 0.7273753881454468, 0.2625144422054291, 0.3816086947917938, 0.6923952698707581, 0.597740888595581, 0.7939344048500061, 0.2500687539577484, 1.3123247623443604, 0.04410421475768089, -1.1718329191207886, 0.6794191598892212, 0.364129900932312, -0.6403411626815796, 0.5759484171867371, -1.556470274925232, -0.5927351713180542, 0.30883243680000305, -0.25503361225128174, 1.434571385383606, 0.05190270021557808, -0.5098500847816467, -0.8483723998069763, 0.39296600222587585, -1.691178560256958, 0.10324829071760178, -0.6937897801399231, -0.7591302990913391, 0.647650957107544, -0.09667256474494934, 1.7904999256134033, 0.7514075040817261, -0.8984549045562744, -1.1191833019256592, -0.2114584743976593, -0.22330054640769958, 0.2501565217971802, -0.09040102362632751, 0.44180238246917725, 0.00453841220587492, 0.8942430019378662, -0.18247932195663452, -1.0947091579437256, -0.9365494251251221, 0.20519213378429413, 0.9500507712364197, -1.3630540370941162, 0.6017194986343384, -1.6327273845672607, -0.6600488424301147, -0.09002412110567093, 0.36747366189956665, 0.34125128388404846, -0.2613369822502136, 0.8620041608810425, -1.1972646713256836, 0.3378002345561981, 1.5699083805084229, -0.10674044489860535, -0.06637901067733765, -0.21914269030094147, -0.4192356765270233, -0.09426920115947723, -0.3986876606941223, -0.10754067450761795, -0.4494200348854065, -0.04892721399664879, -0.7018049955368042, 0.19605131447315216, 0.7267941832542419, 1.1808154582977295, -0.8063700199127197, 0.9546757340431213, 0.9659844040870667, -0.41657930612564087, -0.696153998374939, -0.6210256814956665, -0.3617765009403229, 0.22109104692935944, -0.5669696927070618, -0.2399653196334839, -0.3281906247138977, 0.7206348180770874, -0.5839778780937195, -0.24107924103736877, 1.493691325187683, -0.28209540247917175, 0.24381200969219208, -0.9022899866104126, 0.21798525750637054, 0.9954005479812622, 0.3441813886165619, 0.22546593844890594, -0.34597572684288025, -0.19829685986042023, 0.5953115820884705, 0.6670377850532532, -0.49856728315353394, -1.0686484575271606, -0.6555447578430176, 0.17745694518089294, -0.519322395324707, 0.12392114847898483, -1.028853178024292, -0.5650632977485657, -0.9069896936416626, 0.1724148541688919, -1.2793025970458984, -0.17166583240032196, 0.5120491981506348, 0.5659931302070618, 0.49288028478622437, -0.5986968874931335, -0.15424488484859467, -0.8007804751396179, -0.5208573341369629, -1.2350139617919922, -2.648700714111328, 0.4918804466724396, 0.7719447612762451, -0.9294027090072632, -0.33404380083084106, -0.2080468088388443, 0.39440739154815674, 0.07568590342998505, 0.18641924858093262, -0.0943148285150528, -1.0725489854812622, 1.6244046688079834, 0.8292935490608215, -0.33040210604667664, -0.26158469915390015, 1.419133186340332, -0.07896371930837631, 1.3049389123916626, 0.8685771226882935, 0.1361163854598999, 0.07700946182012558, -1.0126709938049316, 0.5180739760398865, 0.5114474296569824, -0.6444836258888245, -0.9285653233528137, -1.0644993782043457, -0.48686686158180237, -0.0902610644698143, -0.9094476103782654, -1.0285245180130005, 0.1431410312652588, 1.1607494354248047, -0.1683855652809143, -1.1004831790924072, -0.1109209656715393, 0.07017478346824646, -0.53155118227005, 0.5530036687850952, -6.376314640045166, -0.09837117046117783, 0.7091710567474365, -0.12044236809015274, 0.44222521781921387, -0.14927780628204346, 0.5024158358573914, -0.4808424711227417, 0.6897211074829102, 0.5623313188552856, 0.2516857385635376, -0.19729682803153992, -0.4133261442184448, 0.18669633567333221, -0.30708327889442444, 0.7185972332954407, 0.11336979269981384, -0.1739901900291443, 0.609880268573761, -0.08051329106092453, 0.4212552011013031, -1.2433890104293823, -0.9029279947280884, 0.501213788986206, 0.07596421986818314, 1.241462230682373, -0.24826456606388092, -1.3672152757644653, -0.8444101214408875, 0.14021717011928558, -0.9722467064857483, 0.6906406879425049, -0.3898419141769409, 0.37767142057418823, 0.8328374624252319, -0.9194306135177612, 0.025396019220352173, -0.2288990616798401, 0.3055993318557739, -0.183745875954628, 0.9871708750724792, 0.06800276786088943, -0.1231081560254097, -0.7779719829559326, -0.8215380311012268, -0.08575169742107391, -0.38848915696144104, -1.6141397953033447, 0.0008718231110833585, 0.22746087610721588, 0.40483400225639343, -0.08738533407449722, -0.42281007766723633, 0.26718854904174805, -0.4441518783569336, 0.18063746392726898, -0.6120069026947021, -0.15924474596977234, -0.9891258478164673, 0.5482166409492493, 0.13429315388202667, -1.3126683235168457, -0.04642979055643082, -0.13110661506652832, -0.6762546896934509, 1.5648688077926636, -0.17606903612613678, -1.0145752429962158, 0.3498426377773285, 0.9629546999931335, -1.6186790466308594, -1.8333277702331543, -1.2846180200576782, 0.05544396489858627, -1.2064253091812134, 0.3300078511238098, 0.3573295772075653, 0.5785494446754456, -0.21014200150966644, 0.8483914136886597, 0.37135088443756104, -0.38740813732147217, -0.2639244496822357, 1.0317236185073853, 1.4168047904968262, -0.22040343284606934, 0.10444925725460052, -0.16524340212345123, 0.7000632882118225, 0.27050289511680603, 0.12692388892173767, 0.044095102697610855, 0.43121302127838135, -0.21187420189380646, 0.5248425602912903, -0.07714693248271942, -0.5640096664428711, -1.5824790000915527, 0.038331035524606705, -0.12288028001785278, 0.4340052902698517, 0.20603151619434357, -0.4056432545185089, 0.5099821090698242, -0.1724693924188614, 0.5573102831840515, -0.7777559161186218, 0.009956425987184048, -0.11632058769464493, 1.4577871561050415, -0.5906163454055786, 0.5312665104866028, -0.9872570633888245, -0.4278082847595215, 0.7059062123298645, 0.5949916243553162, -0.2728694677352905, 1.96077561378479, 0.9060977101325989, 0.5188138484954834, -0.38431161642074585, 1.0448474884033203, 0.4254496693611145, -0.7626023292541504, -0.0745839923620224, 1.1064887046813965, -0.22786875069141388, 0.3797987103462219, 0.3472824692726135, -0.1368875950574875, 0.25446441769599915, -0.08383458852767944, -1.614130973815918, 0.8522891402244568, -0.5718976855278015, -0.1855776458978653, 0.3972020447254181, 0.5309187769889832, 0.5257827639579773, -0.4153880774974823, -0.02297286130487919, 0.045712269842624664, 0.1767822951078415, -1.0189138650894165, 0.06457516551017761, 0.5089441537857056, -0.8438093662261963, -0.6119865775108337, -0.11320217698812485, 0.13492803275585175, -0.5097500085830688, -1.2395613193511963, -0.34810441732406616, -0.30741041898727417, 0.46325746178627014, -0.414944052696228, -0.5437622666358948, -0.7800021767616272, -0.47454312443733215, 0.5524259209632874, -0.21063384413719177, 0.13762706518173218, 0.4536171555519104, 0.008786044083535671, -1.2200441360473633, -1.8598166704177856, 0.09671927243471146, 0.4406471848487854, 0.036712657660245895, -1.6850028038024902, -0.5028505921363831, -0.21825864911079407, -0.13831152021884918, -0.9697219133377075, 0.7062596678733826, -1.706774115562439, -0.6686839461326599, -0.10603062808513641, -1.1088510751724243, -0.5511559844017029, -0.315390944480896, -0.5580850839614868, -0.48244422674179077, 0.1829836219549179, -0.17540164291858673, 1.9912856817245483, 0.7843557000160217, -1.361703872680664, -0.19684238731861115, -0.03316851705312729, -0.38669660687446594, -0.412291020154953, 1.1374213695526123, 0.22536763548851013, -1.0792361497879028, 0.1761244386434555, -0.3239304721355438, -0.29603955149650574, 0.6217312812805176, -1.2232203483581543, 0.37915995717048645, 1.7116841077804565, -0.17388008534908295, 0.17440757155418396, 1.7430405616760254, -0.1645846664905548, -1.1624417304992676, 0.1484464704990387, -2.059525728225708, -0.33013075590133667, 1.4798115491867065, -2.0478575229644775 ]
118
0704.0120
Haibo Li
Xiao-Dong Cheng, Kang-Lin He, Hai-Bo Li, Yi-Fang Wang, Mao-Zhi Yang
Strong Phase and $D^0-D^0bar$ mixing at BES-III
6 pages, 1 figure, a typo fixed, add more reference and a few corrections
Phys.Rev.D75:094019,2007
10.1103/PhysRevD.75.094019
null
hep-ex hep-ph
null
Most recently, both BaBar and Belle experiments found evidences of neutral $D$ mixing. In this paper, we discuss the constraints on the strong phase difference in $D^0 \to K\pi$ decay from the measurements of the mixing parameters, $y^\prime$, $y_{CP}$ and $x$ at the $B$ factories. The sensitivity of the measurement of the mixing parameter $y$ is estimated in BES-III experiment at $\psi(3770)$ peak. We also make an estimate on the measurements of the mixing rate $R_M$. Finally, the sensitivity of the strong phase difference at BES-III are obtained by using data near the $D\bar{D}$ threshold with CP tag technique at BES-III experiment.
[ { "created": "Mon, 2 Apr 2007 10:09:43 GMT", "version": "v1" }, { "created": "Tue, 3 Apr 2007 02:15:30 GMT", "version": "v2" }, { "created": "Wed, 18 Apr 2007 06:50:11 GMT", "version": "v3" } ]
2008-11-26
[ [ "Cheng", "Xiao-Dong", "" ], [ "He", "Kang-Lin", "" ], [ "Li", "Hai-Bo", "" ], [ "Wang", "Yi-Fang", "" ], [ "Yang", "Mao-Zhi", "" ] ]
07
[ 0.02265641652047634, 0.9201563000679016, 0.8577336668968201, 0.23086169362068176, -0.37678685784339905, -0.34673675894737244, -0.02830331400036812, -0.39069411158561707, -1.2864364385604858, -1.0122207403182983, -0.6316125988960266, -0.3326566219329834, 0.7977122664451599, 0.23873688280582428, -0.7485507130622864, -1.123252272605896, -0.8644251227378845, 0.47571611404418945, 1.258449912071228, -2.4676787853240967, 0.5583586692810059, -0.2474256455898285, -0.31295493245124817, -1.7864670753479004, -0.5348565578460693, 0.5809353590011597, -0.17054934799671173, 0.0028805031906813383, -1.5272210836410522, 1.799232840538025, -1.3491517305374146, -0.024915581569075584, -0.47114136815071106, 0.22355642914772034, 0.5484799146652222, -0.4039759933948517, 0.9482186436653137, -0.7237488627433777, -1.493692398071289, -1.1351319551467896, -0.42803001403808594, 0.16011087596416473, 0.4674474596977234, 0.4155799150466919, 1.009402871131897, -0.05040571838617325, -0.007156055886298418, 0.24647825956344604, 0.17440061271190643, 0.3773536682128906, 0.26200512051582336, 1.4523648023605347, 0.3305093050003052, -0.030378825962543488, 0.04725093021988869, 0.27305516600608826, 0.12414363026618958, -0.14800915122032166, 0.07668780535459518, -0.123743437230587, -0.289002001285553, -0.5864615440368652, 0.06796868145465851, -0.28225699067115784, -0.5706289410591125, -0.6365641355514526, -1.2772998809814453, 0.6592608690261841, 0.19489619135856628, 0.4463518559932709, -0.5677693486213684, -0.5393909811973572, -0.41007694602012634, -0.07668625563383102, -1.750667691230774, 0.20364050567150116, 0.021954171359539032, 0.7735282182693481, -0.052703481167554855, 1.3218042850494385, -0.5224034190177917, 0.4549064636230469, 0.10077273845672607, -1.0181878805160522, 0.11080415546894073, -0.8097530007362366, -0.17173343896865845, 0.1323014497756958, -0.8530175089836121, 0.8411188721656799, 0.5637025237083435, -0.06161053851246834, -0.2207295447587967, 0.8206780552864075, 1.683943271636963, -0.08282912522554398, 0.07541301101446152, -0.4444662034511566, -0.2622043490409851, 1.460871696472168, -0.456525057554245, 0.21788404881954193, 0.26481446623802185, 0.3915709853172302, -0.8527929782867432, -0.06984592229127884, -0.29727739095687866, -0.8961155414581299, -1.3822530508041382, 0.4961331784725189, -0.44879016280174255, -0.8372189402580261, 0.04407522827386856, -0.40779078006744385, -1.0323125123977661, 0.4410119950771332, 0.31843510270118713, -0.5597180724143982, 0.8297381401062012, -0.08900168538093567, -0.022461455315351486, 0.6918677687644958, 0.45441341400146484, -0.133665069937706, 0.4752310812473297, 1.0851669311523438, 0.17051877081394196, -0.878319501876831, 0.25490984320640564, -0.24124738574028015, -0.7292311787605286, -1.0486068725585938, -0.20015068352222443, -0.07301195710897446, -0.5395512580871582, -0.47778642177581787, 0.46244069933891296, -0.00438301544636488, -0.7206566333770752, -0.157528817653656, 0.06888777017593384, -0.7668502926826477, -0.5744168162345886, -0.36896517872810364, -0.21814368665218353, 0.17085504531860352, 1.2909616231918335, 0.12017296999692917, 0.38508275151252747, 1.2198768854141235, 0.05769389495253563, -0.5921627283096313, -0.23637655377388, 0.2072867602109909, -0.08039390295743942, -0.37258604168891907, 0.33201372623443604, 0.3651740550994873, -0.330906480550766, 0.7363440990447998, 0.9228262901306152, 0.1112571656703949, 0.17678336799144745, -1.1910700798034668, -0.21720702946186066, -1.5393080711364746, -1.301686406135559, 0.27321314811706543, 0.3054608404636383, -0.27966737747192383, -0.30192139744758606, 0.042469847947359085, -1.5685466527938843, 1.4999797344207764, -1.5915619134902954, 1.3805840015411377, -0.2595677077770233, -0.7611929774284363, 0.28907081484794617, 0.9693930149078369, 0.3711748421192169, 0.29083770513534546, 0.007294427137821913, -0.11024334281682968, 0.3015700876712799, 0.004000413231551647, -0.6799455285072327, -1.4886088371276855, -1.321687936782837, -0.857059895992279, -0.14536438882350922, -0.966080904006958, -0.6689550280570984, 0.811278223991394, -0.7329245209693909, 1.054988980293274, 0.14742429554462433, 0.14255304634571075, -0.158998504281044, 1.4218389987945557, -0.8191205263137817, 0.04204604774713516, 1.2497657537460327, -0.255443811416626, 0.9369982481002808, -0.6924316883087158, -0.8347418904304504, 0.857453465461731, -0.21696825325489044, 0.35292619466781616, -1.2125364542007446, -0.09273183345794678, 0.15465836226940155, 1.4510045051574707, 1.8583070039749146, -0.026564914733171463, -0.40633097290992737, -0.538672685623169, -0.041870709508657455, -0.5215458869934082, 0.5503559708595276, 0.8524181842803955, 0.7599760293960571, 0.515511155128479, -0.39715516567230225, 0.7918533086776733, -0.6325671672821045, -0.3010629415512085, 0.7495648860931396, -0.5040727257728577, -0.47743043303489685, -0.05515580251812935, -0.2923220098018646, 0.14396168291568756, 0.9406784176826477, 0.00521268742159009, -0.8109657168388367, 0.060012731701135635, -0.2810591757297516, 1.2765326499938965, 0.7231861352920532, 0.6523652672767639, 0.553683340549469, -0.5521280765533447, 0.33756136894226074, -0.3168969452381134, 0.6110595464706421, 0.6365225911140442, -0.6462135314941406, -0.2066129893064499, -0.07643909752368927, -1.0368775129318237, 0.112021803855896, -0.12146991491317749, -0.026144037023186684, -0.7234622240066528, 0.318467378616333, -1.869360089302063, 0.0762934535741806, -0.48339393734931946, -0.8441382050514221, -0.06673061847686768, 0.6572548747062683, 0.4063502550125122, 0.3543027341365814, -0.3619248867034912, -0.26707693934440613, -0.7212280631065369, -0.4766632914543152, -0.421750009059906, -0.31366604566574097, -0.11206984519958496, 0.1479608714580536, 1.372252106666565, -0.2807570695877075, -1.4703733921051025, 0.40052109956741333, 0.19503304362297058, -1.0367605686187744, -0.7754931449890137, -0.3444580137729645, 0.3974580764770508, 0.35540518164634705, 1.6857105493545532, 0.5257748365402222, -1.01472008228302, 0.8534459471702576, -0.05481724068522453, 0.4318059980869293, -0.013554539531469345, 0.2146569937467575, -0.5706276297569275, 0.25504738092422485, -1.7818959951400757, -0.09178494662046432, -0.44460538029670715, 0.021355921402573586, -0.8366413712501526, 0.45182162523269653, -0.29703807830810547, -0.5337128043174744, 0.4763491153717041, 0.07758930325508118, -0.0014257043367251754, -0.37330061197280884, -0.24972161650657654, 0.20362500846385956, 0.642859935760498, 0.35990139842033386, -0.19086101651191711, 0.39439257979393005, -0.13578374683856964, 0.5604166984558105, -0.13039708137512207, 1.4778099060058594, 0.6881179809570312, 1.1612608432769775, 0.729751706123352, -0.44851621985435486, 0.44495469331741333, 0.3115527629852295, 1.642476201057434, -0.2671705186367035, 1.116341471672058, 0.5902535915374756, 0.29783809185028076, 0.410291463136673, -1.1737951040267944, 1.1299651861190796, -0.7305302619934082, -0.28002041578292847, 0.25227081775665283, -1.2103488445281982, -2.7211110591888428, -0.07573078572750092, -0.7561556696891785, -0.04630852863192558, 0.6013971567153931, -0.1860731691122055, -0.4214239716529846, 0.11871607601642609, -0.2206192910671234, 0.4649965763092041, 1.1959818601608276, -1.08854079246521, -0.3048456311225891, -0.16051501035690308, 0.3633941411972046, -0.08885512501001358, 0.42556077241897583, 0.047486286610364914, 0.13780055940151215, 0.5827918648719788, 0.1902478039264679, 0.18019945919513702, -0.29056087136268616, 0.5909445881843567, -0.07377529889345169, 0.2626946270465851, 0.4344557225704193, -0.04476654902100563, -0.5517606139183044, -0.4195563495159149, -0.15593525767326355, -0.19072677195072174, -0.9567128419876099, -1.165163516998291, 1.4928944110870361, -0.5631319880485535, 0.5424627661705017, -2.010958671569824, -0.2993234097957611, -1.0780130624771118, 0.7152328491210938, -0.22329221665859222, 0.2278260439634323, 0.47329115867614746, 0.05268515646457672, -0.09838134050369263, 0.1222662478685379, -0.9274953603744507, -0.07485297322273254, -0.40243372321128845, -0.35976365208625793, 0.5686686038970947, -0.378602534532547, 0.08205796033143997, 0.4060318171977997, -0.9664545059204102, -0.3035581707954407, -1.2062958478927612, 0.4547457993030548, 0.033868879079818726, -0.48572245240211487, -1.9139658212661743, 0.23670509457588196, -0.3390137553215027, 1.084408164024353, -0.31685885787010193, 1.8535659313201904, -0.2673124670982361, 0.5699802041053772, 0.06765301525592804, -0.6952325701713562, 0.8129063248634338, -0.619472086429596, -0.7572570443153381, -0.6367931365966797, -0.682735025882721, 1.2133793830871582, -0.3387516140937805, -0.1076069101691246, 0.42485058307647705, 0.9581393599510193, -0.21699567139148712, -0.39055395126342773, 0.47179800271987915, 0.11226638406515121, 0.5309446454048157, 0.4206572473049164, 0.19124391674995422, -0.16815026104450226, 0.34155282378196716, -0.3113495707511902, -0.1536553055047989, -1.011749267578125, -1.71829092502594, 0.6388932466506958, 0.9717232584953308, 0.09625733643770218, -0.29125308990478516, -0.5638397932052612, -1.0240668058395386, -0.4266888499259949, 0.919102132320404, 0.8400539755821228, -0.06692034751176834, 0.10762752592563629, -0.03699763864278793, 0.22467638552188873, 0.7132236957550049, -0.2082906812429428, 0.17399640381336212, 0.978853702545166, -1.6584707498550415, -0.563894510269165, 1.11916184425354, 0.5659359693527222, -1.4514241218566895, 0.6885585188865662, -0.5097931623458862, -0.5909774303436279, -0.13192296028137207, 1.0118576288223267, 0.6950830817222595, -0.2087422013282776, -0.04206041619181633, 0.0523076169192791, -0.9745635986328125, 0.4957077205181122, 0.12248807400465012, -0.47001636028289795, 0.5420964956283569, 1.1371337175369263, -0.416878879070282, -0.7155814170837402, 0.4643876850605011, -0.14582283794879913, 0.055007971823215485, 0.17051465809345245, 0.004117293283343315, -0.3891192078590393, 0.4260704517364502, -1.1862722635269165, -0.907397985458374, 0.8786712884902954, 1.940269947052002, 0.9201176762580872, -0.41402578353881836, -0.46201401948928833, -0.5246009826660156, 1.2921202182769775, -1.521552562713623, -0.31397107243537903, -0.9684305191040039, 0.050936006009578705, 0.1378909945487976, -1.2059303522109985, -0.7864029407501221, -0.46335723996162415, 0.1986323595046997, 0.6386179327964783, 0.28450724482536316, 2.395664930343628, -0.15809266269207, 0.3072989284992218, 0.4465433359146118, -0.42370423674583435, 0.9849228858947754, -0.0226324200630188, 0.5454095602035522, -1.6483454704284668, 0.45525118708610535, -0.18107031285762787, -1.020002007484436, 0.1279340386390686, -0.8645071983337402, 0.34314921498298645, -0.8972964882850647, 0.6824615001678467, -0.3688509464263916, 1.0421912670135498, -0.7177642583847046, 0.9454500675201416, 1.726336121559143, 0.4856000542640686, 0.9209117889404297, -1.7413729429244995, 0.09505481272935867, -1.279586911201477, -0.032821252942085266, 0.15099318325519562, -0.8767203092575073, -0.775368869304657, -0.15270288288593292, -0.5515701770782471, 0.3946036100387573, 1.1928483247756958, 0.21831001341342926, 0.08660153299570084, -0.9627617597579956, -0.45205003023147583, 0.3162933886051178, -0.3276626467704773, 0.30343130230903625, 0.2082846313714981, -0.7251570224761963, -1.5039690732955933, -0.18601100146770477, 0.9520413279533386, 0.24062463641166687, -1.0166206359863281, 0.6191863417625427, -0.9149677157402039, 0.02357371151447296, -0.63767009973526, -0.26339706778526306, -0.015078693628311157, -0.5198066234588623, 0.010957094840705395, 0.8946927785873413, 0.3230918347835541, -0.09019071608781815, -0.46770045161247253, 0.5753145217895508, -1.0502917766571045, -7.029999256134033, 0.018851231783628464, 0.049451712518930435, -0.6886136531829834, 0.36061927676200867, 0.9271101355552673, 1.1366736888885498, 0.45420920848846436, 0.09342440217733383, 0.07061835378408432, 0.9224936366081238, 0.226480633020401, -0.9249374866485596, -0.17332004010677338, 0.24693025648593903, -0.33301231265068054, -0.6564339995384216, -0.2821502685546875, -0.6015732884407043, 0.7995253801345825, -1.316758632659912, 0.15338093042373657, -0.10389445722103119, -0.26546725630760193, -0.648253321647644, -0.639613151550293, -0.1515897959470749, 0.05596677586436272, -1.2706152200698853, 1.1130305528640747, -0.04930935427546501, 0.9925034642219543, 0.3604969084262848, 0.26367267966270447, -0.23480817675590515, 0.2230040729045868, -0.5084807872772217, 0.458535373210907, -0.4300161898136139, -1.398140788078308, 1.1621778011322021, -0.2470068484544754, -0.6904770731925964, -1.3864226341247559, -1.481986403465271, 0.15814675390720367, -0.09910038858652115, -0.8012304306030273, 0.09079080075025558, 1.2629910707473755, -0.395399272441864, -0.8788261413574219, -0.29748618602752686, 0.9491136074066162, -0.5957288146018982, -0.8920251727104187, -0.20286765694618225, 0.013058451004326344, 0.32920122146606445, -0.30238497257232666, 0.4745270609855652, -0.7923514246940613, -2.2598888874053955, 0.026523884385824203, -1.104898452758789, -1.3051197528839111, 0.40387606620788574, -0.9597777724266052, 1.023060917854309, -0.40219128131866455, 1.0825872421264648, -0.9000611305236816, 0.6633914113044739, -0.2230461686849594, 0.7588972449302673, -0.06146254390478134, -0.190128892660141, 1.0682319402694702, 0.5769248008728027, 0.2132655382156372, 0.03941836580634117, 1.3556852340698242, -0.16116349399089813, -1.0852453708648682, 0.12798717617988586, -0.8292068243026733, -0.6783959269523621, 0.02550256811082363, 0.6902568936347961, -1.2873384952545166, 0.8585940599441528, -1.1892669200897217, 0.4433309733867645, 0.4572979807853699, 0.8915647864341736, 0.6435259580612183, 1.782725214958191, -0.3465401530265808, -1.30663001537323, 0.7568449974060059, 0.21699464321136475, 0.23519335687160492, -1.0977306365966797, -0.3255167603492737, 0.33240026235580444, 0.9950469732284546, 0.9590407609939575, -0.43646031618118286, 0.5538419485092163, -1.1899027824401855, 1.2047405242919922, -0.20811781287193298, -0.571321964263916, -0.03640419617295265, -0.005646176170557737, -0.5893513560295105, 0.8798457384109497, -0.32493895292282104, -0.40034836530685425, -0.32106977701187134, -0.35439327359199524, -0.07119596749544144, -0.17510175704956055, 1.3125288486480713, 2.367130994796753, -0.4503099024295807, -0.14311692118644714, 0.5928584933280945, 0.0006306388531811535, -0.15937386453151703, -0.7492455244064331, -1.3679847717285156, 0.22705142199993134, 0.6340713500976562, -1.296457290649414, 0.6145610213279724, -0.7626819610595703, 0.783580482006073, -0.8629271984100342, -0.8290034532546997, 0.06474661082029343, -1.1918652057647705, 0.6777932643890381, 1.0685899257659912, 0.15821528434753418, 0.5601853132247925, -0.17689235508441925, 0.46046218276023865, 0.07663526386022568, -0.05167355760931969, -0.9085890054702759, 1.7952237129211426, 1.345723032951355, 0.01338261365890503, 0.2664552330970764, 0.4329276978969574, -0.6056605577468872, -1.2070406675338745, 0.1615653932094574, -0.0011877288343384862, 0.008097773417830467, 0.04256792739033699, -1.0145699977874756, -1.158316731452942, 0.6906023025512695, 0.9248059988021851, 0.21087206900119781, -0.15068784356117249, 0.8276221752166748, 0.4628051221370697, -0.46710169315338135, -0.24308480322360992, 1.4324315786361694, 0.10904227942228317, 0.9893167018890381, 0.07220441102981567, -0.16042697429656982, 1.6871532201766968, 0.9769101738929749, -2.158841609954834, 0.14495059847831726, -0.5177979469299316, 0.6820393204689026, 0.4557393491268158, -0.23182573914527893, 0.48846328258514404, -0.4368610084056854, -0.6066274642944336, -0.6718775629997253, 0.44340595602989197, 0.23138603568077087, -0.488307386636734, -0.04189807176589966, -0.023582465946674347, -0.3701685070991516, -0.6344528794288635, -0.03791575878858566, -0.7735176682472229, -1.0597624778747559, -0.6119166016578674, -1.0488805770874023, 0.7110609412193298, 0.9947226047515869, 0.35212936997413635, 0.7533257007598877, 0.002468306804075837, 0.4009094834327698, -0.2986059784889221, -2.126426935195923, -1.3474770784378052, 0.8395982980728149, -0.8106979131698608 ]
119
0704.0121
Changhyun Ahn
Changhyun Ahn
Meta-Stable Brane Configuration of Product Gauge Groups
27 pp; 7 figures; Pages 8, 17 and 18 improved and figure 7 corrected; the abstract and introduction improved and to appear in CQG
Class.Quant.Grav.25:075001,2008
10.1088/0264-9381/25/7/075001
null
hep-th
null
Starting from the N=1 SU(N_c) x SU(N_c') gauge theory with fundamental and bifundamental flavors, we apply the Seiberg dual to the first gauge group and obtain the N=1 dual gauge theory with dual matters including the gauge singlets. By analyzing the F-term equations of the superpotential, we describe the intersecting type IIA brane configuration for the meta-stable nonsupersymmetric vacua of this gauge theory. By introducing an orientifold 6-plane, we generalize to the case for N=1 SU(N_c) x SO(N_c') gauge theory with fundamental and bifundamental flavors. Finally, the N=1 SU(N_c) x Sp(N_c') gauge theory with matters is also described very briefly.
[ { "created": "Mon, 2 Apr 2007 05:02:33 GMT", "version": "v1" }, { "created": "Thu, 31 May 2007 13:00:29 GMT", "version": "v2" }, { "created": "Fri, 15 Feb 2008 15:37:24 GMT", "version": "v3" } ]
2008-11-26
[ [ "Ahn", "Changhyun", "" ] ]
07
[ 0.08441721647977829, -0.3493565618991852, -0.3679424822330475, -0.09172475337982178, 0.351298987865448, 0.12677858769893646, -0.11080111563205719, -0.03250513970851898, -0.6035248637199402, -0.688739001750946, 0.5365617275238037, 0.7211910486221313, 0.9719243049621582, -0.3552955985069275, -0.7851830720901489, 0.11324098706245422, -0.8408576250076294, -0.22875750064849854, -0.4299660325050354, 0.22684210538864136, 0.38844984769821167, -0.35291415452957153, -0.8498547673225403, -0.2716880440711975, -0.11407569795846939, 1.547186255455017, 0.2125183343887329, 0.5586640238761902, -1.1177153587341309, -0.3233157694339752, 0.7328705787658691, 0.6387330889701843, 0.8328471779823303, -0.40247732400894165, 0.3631134033203125, 0.46533653140068054, -0.02038724720478058, -0.8117932677268982, -0.26961374282836914, 0.9469968676567078, 0.3796893060207367, 0.6797077655792236, -0.5979697108268738, 0.026765309274196625, -0.15977628529071808, -0.2836531400680542, -0.8432420492172241, 0.5589783787727356, -0.555997908115387, 0.14147858321666718, -0.604623556137085, 0.6470990777015686, -0.1664961278438568, 0.46851131319999695, -0.04754229262471199, 1.454811930656433, 0.5918151140213013, -0.217558354139328, -0.13759782910346985, -0.7331276535987854, 0.13072273135185242, -0.3800845444202423, 0.7809717655181885, 0.10562700033187866, -0.004054675344377756, -0.6497882008552551, -0.756056547164917, -0.6169592142105103, -0.4197982847690582, 0.4428001642227173, -0.12931643426418304, 1.2179591655731201, -0.38035473227500916, -0.051841843873262405, -0.5994159579277039, -1.1817957162857056, 0.8535714745521545, -1.4051281213760376, -0.8154877424240112, -1.1052924394607544, 0.4670085310935974, -0.7671295404434204, -0.1462348848581314, -2.0412466526031494, -0.5382236242294312, -0.07016747444868088, -0.3154934048652649, 0.4748969078063965, -1.1149530410766602, 1.4232299327850342, 0.5674059987068176, 0.10663604736328125, -0.09897005558013916, 0.0764056146144867, 0.11372062563896179, -0.77713942527771, -1.247498631477356, 0.09161132574081421, -0.41087207198143005, 0.621330976486206, 0.6629351377487183, -0.013721207156777382, 0.04613904282450676, 0.17951133847236633, -1.0775915384292603, -0.13713708519935608, 0.04507754370570183, 0.9147992134094238, 0.15609169006347656, 0.5788359045982361, -0.5291479825973511, -1.4009833335876465, -0.027448952198028564, -0.3189484179019928, -1.68317711353302, 1.5925551652908325, -0.3372173607349396, 0.2850654125213623, 0.1144222766160965, 0.7748679518699646, -0.34293222427368164, -0.009197353385388851, 2.25972056388855, -0.7172962427139282, 0.038403820246458054, -0.5951575040817261, 0.2825869917869568, 0.1529555767774582, 0.9366975426673889, -0.8453822135925293, 1.0051954984664917, -0.31270599365234375, -0.6340284943580627, 0.2725226879119873, -0.10985144227743149, -0.1059027761220932, -0.48850059509277344, -0.3123165965080261, 0.8718885779380798, -0.43987640738487244, 0.1334000825881958, -0.3365103304386139, -0.6851174235343933, 0.31627073884010315, -0.04343457147479057, -0.2415482997894287, -0.09664079546928406, -1.600708246231079, -0.16183824837207794, 1.11160147190094, 0.4672752618789673, -0.9946178793907166, -1.297979474067688, -0.4369351863861084, -1.504710078239441, -0.04917209967970848, -0.3578619360923767, 0.3726547062397003, -1.2994285821914673, 1.0068092346191406, -0.24465541541576385, -0.4540739059448242, -0.36476197838783264, -0.033428601920604706, 0.34142667055130005, 1.2458422183990479, 1.3640955686569214, 0.06242629140615463, -1.1582667827606201, 0.7199958562850952, 0.6962874531745911, -0.9942535161972046, -1.6983929872512817, -0.7243494391441345, 0.7999269366264343, 0.9511847496032715, -0.8212919235229492, 0.23537853360176086, -0.13670822978019714, -0.41902977228164673, -1.3301444053649902, -0.4625151753425598, -0.2563331127166748, 0.17795932292938232, 0.4202168881893158, -0.9938037991523743, 1.3259938955307007, -1.5191909074783325, -0.44785448908805847, -0.3304409980773926, -2.02870512008667, 0.16153495013713837, -1.3460038900375366, 0.2282169610261917, 1.4086064100265503, 1.280367136001587, -0.10500264912843704, 0.5778631567955017, -0.13416427373886108, -0.21608294546604156, 0.08153082430362701, 1.197177767753601, -0.8817339539527893, 0.9336011409759521, -1.2071300745010376, 0.8692201972007751, 0.5719152092933655, -0.3072988986968994, 0.04646700248122215, 1.5186439752578735, 0.2942667007446289, 0.7448692917823792, 1.4501845836639404, -0.6229337453842163, 0.9456119537353516, 0.4595412611961365, 0.41866472363471985, -0.9683111310005188, -0.5657435059547424, 0.3938916325569153, -0.8716492056846619, 0.6796703338623047, 0.3757789134979248, -0.627413809299469, 0.01916542463004589, -0.7251526117324829, 0.9055511951446533, 0.34301382303237915, 0.3547407388687134, 0.4291253089904785, 0.08186796307563782, 0.11803581565618515, 0.29982876777648926, -0.3482666313648224, 0.7895442843437195, 0.6293628811836243, -0.0945712998509407, 0.26256057620048523, -0.22224955260753632, -0.1909731775522232, -0.08428297191858292, 1.1873974800109863, -0.46881988644599915, -0.34501680731773376, -0.9596671462059021, 0.2225159853696823, -0.9130061268806458, 0.7758942246437073, 0.15597638487815857, 0.2944999933242798, 0.48976442217826843, -0.9316886067390442, 0.30326494574546814, -1.0795663595199585, 0.308986097574234, -0.6506971716880798, 0.030560553073883057, 0.051538776606321335, -2.1952030658721924, -0.059103578329086304, -1.1857764720916748, -1.019235610961914, -0.6344149708747864, 0.2212328463792801, 0.2542285919189453, -0.810642421245575, 0.12760943174362183, -0.14909864962100983, 0.6009181141853333, -0.3848133981227875, 0.530499279499054, -0.39434322714805603, -0.16337722539901733, -1.5512546300888062, 1.3863861560821533, 0.5822529792785645, 0.903129518032074, 0.03419458121061325, -1.6058462858200073, -0.8926033973693848, 0.4066864848136902, 1.9511363506317139, -0.09397025406360626, -0.5199605822563171, 0.7283325791358948, -0.9477132558822632, -0.4777785837650299, -1.4895212650299072, -0.6160808801651001, -0.9878237843513489, 0.5881757140159607, 0.12816107273101807, 1.430698037147522, 0.3387042284011841, -0.43686750531196594, -0.6851763725280762, 0.4221034049987793, -0.6150525212287903, 0.5003356337547302, 0.045220889151096344, -2.3157448768615723, -1.0886999368667603, 0.6493386626243591, 0.048095542937517166, -0.32591092586517334, -0.6380330920219421, -0.7395862936973572, -0.016159333288669586, -0.23335321247577667, 0.4368720054626465, 0.5852254033088684, -1.4254193305969238, 1.1627777814865112, 0.4162130355834961, -0.2062964290380478, 0.165700763463974, -0.4508872330188751, -0.3168044686317444, -0.9469483494758606, 0.6630893349647522, 0.012690311297774315, -0.47606855630874634, 1.8810006380081177, -1.1717456579208374, -1.240532636642456, -1.4221497774124146, -0.25463008880615234, -0.3862319886684418, -0.6143659949302673, 0.2988261878490448, 1.03323233127594, 0.4102069139480591, 1.7847425937652588, 0.6877815127372742, -0.5577693581581116, -0.05769634246826172, 0.11815265566110611, -0.9499134421348572, 0.9771504998207092, -0.7259422540664673, -0.9105561375617981, 0.17238689959049225, 0.23787686228752136, 0.9135700464248657, -0.19965682923793793, 0.5996319651603699, 0.7496449947357178, 0.15869051218032837, -1.0027059316635132, 0.8578757643699646, -0.35165897011756897, -0.8261361718177795, 0.9092421531677246, 0.33554401993751526, -0.8348426818847656, 0.2951306700706482, 0.562309980392456, 1.3448337316513062, 0.4675648510456085, 1.2289690971374512, -0.8374830484390259, 1.0019104480743408, 0.11385192722082138, -0.36432620882987976, 0.8407541513442993, 0.49055299162864685, -0.6618682146072388, -1.149141550064087, -0.331343412399292, 0.8260326385498047, -0.4418090581893921, 0.15014076232910156, -0.4488128423690796, -0.23147492110729218, -1.7843340635299683, 0.26781415939331055, -0.45870932936668396, -0.6091912984848022, -1.140473484992981, -0.341148316860199, -0.26197972893714905, 1.119492769241333, 0.010954674333333969, 0.6296483278274536, -0.2875269055366516, 1.4175817966461182, 0.31424906849861145, -0.2556486129760742, -0.4729621708393097, 0.1196676641702652, 0.8201162815093994, -0.5670742392539978, 0.4013289511203766, -0.47443991899490356, -1.8144367933273315, 0.04441045969724655, -0.4459435045719147, -0.2579156458377838, 1.3969900608062744, 1.213294267654419, -0.4469306170940399, -0.08743560314178467, 0.08662831783294678, 0.3852517902851105, -0.9307491183280945, -0.022760681807994843, -0.1295512616634369, 0.9722589254379272, -0.02751762419939041, -1.2740329504013062, 1.1122552156448364, 1.5267245769500732, -1.017157793045044, 0.5735259056091309, -0.1425931602716446, 0.12430542707443237, -1.2381227016448975, 0.739060640335083, -0.7257739901542664, -0.23137852549552917, -0.5946058630943298, -0.10896908491849899, -0.5836965441703796, 1.7916733026504517, -0.37710270285606384, 0.18271076679229736, -0.6477720737457275, -0.013171317055821419, -0.33015456795692444, 1.2068828344345093, -1.4283205270767212, -0.4277924597263336, -0.21621938049793243, -0.644589900970459, -0.7498266696929932, -0.3789103329181671, -0.5436607599258423, 0.6193840503692627, -0.17223183810710907, 0.3970740735530853, 0.44455209374427795, 0.004084961488842964, 0.30478763580322266, -0.5263345241546631, -0.23497064411640167, 1.1540244817733765, -0.298361212015152, 0.43481969833374023, -1.3023688793182373, -0.285543292760849, -0.8990246653556824, 0.22980214655399323, 0.28499895334243774, 0.7638403177261353, -0.022941939532756805, -1.3172086477279663, 1.133156418800354, 0.6732344627380371, -0.5717087388038635, 0.3650401830673218, 0.4053657650947571, 0.9913767576217651, 0.6077858209609985, -1.9747425317764282, 0.48245829343795776, -0.6363164782524109, 0.26531338691711426, 0.03944489732384682, -1.948225498199463, 1.114691972732544, 0.18515948951244354, -0.49581125378608704, 0.8661898374557495, 1.1161608695983887, 0.024138782173395157, -1.6600894927978516, 0.9107216000556946, 0.7589288353919983, 0.8313992023468018, 0.4885921776294708, 0.8067759275436401, 0.041938066482543945, -0.897865891456604, 0.19053226709365845, 0.4650406837463379, 0.9207371473312378, -0.9862040281295776, 0.5185759663581848, -0.95784592628479, 0.612064778804779, -0.004583233967423439, 0.5785941481590271, 0.2678816020488739, 0.7015753984451294, 0.30686330795288086, 0.4645548164844513, -0.9300348162651062, -0.44719845056533813, -0.395047664642334, 0.9416617155075073, -0.21691842377185822, -0.6494749188423157, 0.2026820033788681, -0.45918139815330505, -0.25337252020835876, -0.3566872477531433, -0.052383020520210266, 0.10853000730276108, -0.411490261554718, 1.3661919832229614, -1.2116012573242188, -0.7401784658432007, 1.1471290588378906, -0.6621730327606201, 0.8115602731704712, -0.5374922752380371, -0.9481696486473083, -2.203395366668701, -0.6609470844268799, 0.18197332322597504, -0.0768790990114212, -0.7061039209365845, -0.35951942205429077, -0.4596876800060272, 0.5896915793418884, 0.05419868230819702, 1.3443647623062134, 0.1783365160226822, -0.7422118186950684, 0.45627790689468384, 0.9557849168777466, -0.7466482520103455, 0.8626261353492737, -0.7809814810752869, -0.23270677030086517, 0.02728065475821495, -0.5008050799369812, -0.43050140142440796, -0.9087967276573181, -0.13119404017925262, -0.044212520122528076, 0.908489465713501, -0.8415868878364563, -1.2643789052963257, -1.0352246761322021, 0.3976518213748932, -0.14454320073127747, -0.3949022591114044, -1.3129040002822876, 1.0266273021697998, 0.6784013509750366, -0.5704355239868164, -0.33857741951942444, -0.43611836433410645, -0.5748948454856873, 0.45246654748916626, -6.436286449432373, -0.16290025413036346, 0.3656618893146515, 0.12065580487251282, -0.34169092774391174, -0.7640531659126282, -0.32650789618492126, -0.5834423899650574, 0.21069565415382385, 1.7637625932693481, -0.15793432295322418, 0.14454878866672516, -0.6960036754608154, -0.37206724286079407, -0.369045227766037, 0.04196089133620262, -1.0582083463668823, 0.6142348647117615, -0.4722370207309723, 0.9541274309158325, -0.5423628687858582, -0.3482501208782196, -1.4023696184158325, -0.2718690037727356, 0.873572051525116, 0.7400206327438354, 0.9669095277786255, -0.8251824378967285, 0.36046624183654785, -0.27509596943855286, -1.4427902698516846, 0.30788666009902954, -1.3052146434783936, 0.042494334280490875, -0.09811734408140182, -1.2717065811157227, -0.6539974212646484, -0.21688316762447357, -0.03805749863386154, -1.2370761632919312, 0.18840400874614716, 0.11682965606451035, 0.21838735044002533, -0.3774346709251404, -0.7447730898857117, 0.46749699115753174, 0.18249300122261047, -0.42692768573760986, -0.7796066403388977, 0.4515514373779297, 0.2590094208717346, -0.4346628487110138, 0.20451045036315918, 0.04667698219418526, 0.02636689506471157, 0.48369815945625305, -0.7201516628265381, 0.005284805782139301, -0.8874232769012451, -1.1267375946044922, 1.1290868520736694, -1.07253098487854, 1.4134944677352905, 0.6404528617858887, -0.8358044028282166, -0.8896960020065308, -0.7154620885848999, 0.5775080919265747, 0.40554600954055786, 1.2052021026611328, 0.18061362206935883, -0.11254768073558807, -0.8620955944061279, -1.2021721601486206, -0.2805556058883667, -0.2144775539636612, 0.09724359959363937, 0.5836965441703796, 1.5967504978179932, 0.7378126978874207, -0.909295916557312, 1.0548784732818604, -0.029459338635206223, -0.06496795266866684, 0.1435806006193161, -0.37145331501960754, -0.3100363612174988, 0.6815731525421143, 0.450435608625412, 0.6273483633995056, -0.4284168779850006, 1.132242202758789, -0.3299071788787842, -0.12205995619297028, -0.22121575474739075, -0.8247405886650085, -0.2385541796684265, -0.8613331913948059, -0.6292294263839722, 0.5547186136245728, -0.5734903812408447, -0.41284680366516113, 0.350796103477478, 0.48430973291397095, 1.1162524223327637, -0.9808183908462524, -0.22224539518356323, -0.3987550139427185, -0.9367948770523071, 0.04920194298028946, -0.42991402745246887, -0.15999485552310944, 0.012603959068655968, -0.5154261589050293, 0.6450204849243164, 0.22211621701717377, 0.18565088510513306, 0.809508740901947, 1.0827057361602783, -1.0169283151626587, 0.1460423767566681, -0.42029646039009094, 0.4993167817592621, -1.0794764757156372, -0.14304745197296143, -0.5437638163566589, -1.231619954109192, -0.6365428566932678, -0.5689065456390381, 1.861796498298645, -0.6448758244514465, 0.603297770023346, -1.0188047885894775, -0.17056754231452942, -0.6299033164978027, 0.5894367694854736, 0.6817190647125244, 0.6422799825668335, 0.9379574060440063, 0.4315851628780365, 1.0513756275177002, -0.1147906482219696, 0.8981839418411255, -0.14289632439613342, -0.016378706321120262, 0.3271484971046448, -0.6396165490150452, -0.937035083770752, 0.0009157434105873108, 0.8125132918357849, -0.20959272980690002, 0.42877623438835144, 0.2949703335762024, 0.07980511337518692, -0.29202863574028015, 0.3609359562397003, -0.7611024379730225, 0.5428087115287781, 1.0722672939300537, -0.6163222193717957, 0.5972652435302734, -0.2379242181777954, 0.47716620564460754, 1.7991020679473877, 0.2590496838092804, 0.18372447788715363, 0.27047085762023926, -0.7924891114234924, 1.4851009845733643, 0.14047890901565552, 0.19243404269218445, -0.9329631924629211, -0.7722278237342834, -0.43293437361717224, 1.0475473403930664, 0.9045894742012024, -1.0919606685638428, -0.3041802942752838, 1.1828408241271973, -1.4717414379119873, -0.02983693592250347, 0.6625418066978455, 0.8341566324234009, 0.1740536242723465, -0.14109832048416138, 1.6552246809005737, 0.0629173293709755, -1.172693133354187, 0.2779282331466675, 1.8712546825408936, -0.39147892594337463, 0.2742316424846649, -0.2644805610179901, -0.526813805103302, 0.10120775550603867, 0.6933571696281433, -0.617692232131958, 2.1416983604431152, -1.0248759984970093, 0.40184685587882996, 0.2642303705215454, 0.9390653371810913, -0.09518496692180634, -0.24425113201141357, 0.5392767786979675, 0.48437759280204773, -0.35761895775794983, 0.37315863370895386, 0.45302116870880127, -0.910026490688324, -0.19454744458198547, -0.724913477897644 ]
120
0704.0122
Masahiro Takahashi
M. Takahashi, Sankalpa Ghosh, T. Mizushima, K. Machida
Spinor dipolar Bose-Einstein condensates; Classical spin approach
5 pages, 5 figures
Phys. Rev. Lett. 98, 260403 (2007)
10.1103/PhysRevLett.98.260403
null
cond-mat.other
null
Magnetic dipole-dipole interaction dominated Bose-Einstein condensates are discussed under spinful situations. We treat the spin degrees of freedom as a classical spin vector, approaching from large spin limit to obtain an effective minimal Hamiltonian; a version extended from a non-linear sigma model. By solving the Gross-Pitaevskii equation we find several novel spin textures where the mass density and spin density are strongly coupled, depending upon trap geometries due to the long-range and anisotropic natures of the dipole-dipole interaction.
[ { "created": "Mon, 2 Apr 2007 05:15:28 GMT", "version": "v1" }, { "created": "Wed, 4 Apr 2007 04:30:54 GMT", "version": "v2" } ]
2009-11-13
[ [ "Takahashi", "M.", "" ], [ "Ghosh", "Sankalpa", "" ], [ "Mizushima", "T.", "" ], [ "Machida", "K.", "" ] ]
07
[ 1.080198049545288, -0.15908633172512054, -0.7020166516304016, -0.12863291800022125, 0.4880744218826294, 0.012889663688838482, -0.32653918862342834, -0.46066901087760925, -0.7303285002708435, -1.3188906908035278, 0.32121407985687256, 0.7283504009246826, 0.45832890272140503, -0.48633694648742676, -1.3191946744918823, -0.35584115982055664, -0.5904991626739502, -1.0983524322509766, 0.08341531455516815, 1.077865719795227, -0.34003835916519165, 0.37759828567504883, 0.12844450771808624, -0.5065762996673584, 0.15113577246665955, 0.9995496273040771, 0.6253747940063477, -0.9243258833885193, -0.27013930678367615, 0.8736585974693298, -1.3616665601730347, 0.3775530755519867, -0.5257982015609741, -0.20407015085220337, -0.6094587445259094, -0.3883044123649597, -1.1240413188934326, -0.41980811953544617, -0.03796873986721039, 0.12959997355937958, 0.5151730179786682, 1.4470726251602173, -0.3715395927429199, -0.11821695417165756, 0.05112488940358162, 0.12196211516857147, -1.567368984222412, -0.7892212271690369, -0.2966117560863495, -0.19145852327346802, 0.27429521083831787, 0.5569113492965698, 0.8095977902412415, -0.5866456031799316, 0.9965410828590393, 0.612179696559906, -0.0737249031662941, 0.6997827887535095, -0.3612334132194519, -0.5107320547103882, -0.25955379009246826, -0.9705655574798584, 0.23316887021064758, -0.6301294565200806, -0.3827497363090515, 0.08648767322301865, 1.392356038093567, -0.26749229431152344, -0.19852767884731293, -0.38414937257766724, 0.15016895532608032, -0.3447512984275818, -0.05704217404127121, 0.3393115997314453, 0.13373993337154388, -1.3446097373962402, 0.6710458993911743, -0.8847824931144714, 0.7712279558181763, 0.14956386387348175, 0.18033134937286377, 0.17295636236667633, 0.27045875787734985, -0.673812210559845, -0.271844744682312, 0.2133072018623352, 0.3942648470401764, 0.0698252022266388, 0.2086140662431717, 0.18555153906345367, 0.06077682226896286, -0.462881475687027, 0.7984215617179871, 0.3672209680080414, -0.17906329035758972, -0.3654690682888031, -0.044218551367521286, 0.08056528121232986, -0.29033079743385315, 1.6203043460845947, -0.11164169013500214, 2.100188970565796, 0.4780615568161011, 0.4353926479816437, -1.0256379842758179, 0.12312304228544235, -0.3099924325942993, -0.1747930347919464, 0.5139161348342896, 0.8381289839744568, 1.1794652938842773, -0.291778564453125, -0.2653036415576935, -0.259202241897583, 0.3773019313812256, -0.38596111536026, 0.7554873824119568, -0.4178701639175415, -0.949946939945221, -1.1479171514511108, 0.5602020621299744, -0.5060343146324158, -0.19416970014572144, -1.2161861658096313, 0.20997494459152222, -0.24550370872020721, -0.018124237656593323, -0.09008003026247025, -0.10682731866836548, 1.3357257843017578, 0.02606533281505108, -0.18030640482902527, 1.5358206033706665, 0.7301796078681946, 0.09942362457513809, -0.6434046030044556, -0.6184559464454651, 0.41732367873191833, -0.599030077457428, -0.939547598361969, -0.8301123976707458, -1.0310360193252563, -0.3663066327571869, -0.026284001767635345, -0.7127109169960022, 0.2552887201309204, -0.8691998720169067, -0.3641098141670227, 0.7986332178115845, 1.1217405796051025, 0.968289852142334, 0.5237158536911011, 0.6809805035591125, 0.45602697134017944, 0.30954915285110474, -1.953413963317871, 0.7302820682525635, -0.5657764077186584, 0.5703444480895996, 0.14817923307418823, 0.9994941353797913, -1.6489977836608887, 0.6873851418495178, -0.9558508992195129, 0.5261484384536743, 0.4395269751548767, 0.8010015487670898, 0.37229153513908386, 0.3513775169849396, 0.23689304292201996, -0.994289755821228, 0.36463838815689087, -0.7225204706192017, 0.8813472986221313, 0.6291045546531677, 0.14588141441345215, 1.0455251932144165, -0.45358261466026306, -0.6788475513458252, 0.7665928602218628, -0.36424121260643005, -1.1375705003738403, 0.6412918567657471, 0.7700806856155396, -0.4600374400615692, 0.18397213518619537, 0.23304791748523712, -1.312233805656433, 0.24289162456989288, -0.317064493894577, -0.5925666689872742, 0.5659101605415344, -0.7199705839157104, -0.8996930718421936, -0.3361121118068695, -0.6754509210586548, 0.30290520191192627, -0.17029473185539246, -0.3782849609851837, 0.5629338026046753, -0.7436982989311218, 1.5409427881240845, 0.16210035979747772, -0.3117193877696991, 0.25246864557266235, 0.36054226756095886, 0.0016351195517927408, -1.9661709070205688, 0.7106667160987854, -0.4969457983970642, 0.6186370849609375, -0.129452645778656, 0.09098687022924423, 0.33054763078689575, 0.3687931001186371, -0.8983081579208374, -1.3612219095230103, 1.121895670890808, -0.138942152261734, 1.0478538274765015, 0.6502266526222229, 0.4161437451839447, -0.5431018471717834, -0.031878016889095306, 0.19678296148777008, 1.5162863731384277, -0.5062581300735474, -0.017106181010603905, 0.083628810942173, -0.5199894309043884, -0.8298678994178772, -1.350071668624878, -0.6049142479896545, -0.6082887053489685, 1.438834309577942, 1.0897202491760254, -0.45570772886276245, -0.9513746500015259, -0.6106632947921753, 0.6607392430305481, 0.034322697669267654, -0.6406764984130859, 0.37671539187431335, -0.14342251420021057, 0.06711243093013763, -0.23175646364688873, -0.7560001015663147, -0.6105859279632568, 0.36538514494895935, -0.011302399449050426, -0.4655289053916931, -0.635541558265686, 0.2147340327501297, 0.7009776830673218, 0.3430085778236389, -0.181563138961792, -0.07732187211513519, -1.585046648979187, -0.6078060865402222, 0.3405323028564453, -0.42588111758232117, 0.4119303822517395, 0.5200050473213196, 0.11226999014616013, 0.5499984622001648, -0.32669347524642944, -0.9181882739067078, 0.32901760935783386, -0.976128876209259, 0.6459386348724365, -1.484779953956604, 0.19010275602340698, -1.0198653936386108, -0.19403962790966034, 0.9316222667694092, -0.4696791172027588, -0.11399827152490616, -1.1560840606689453, -1.3704512119293213, 0.5104027390480042, 0.1666010171175003, 0.6179827451705933, 0.3614998161792755, 1.2322711944580078, 1.5797357559204102, 0.17980219423770905, 0.5107772350311279, 0.14197292923927307, 0.973819375038147, -0.15006279945373535, -0.2285671830177307, 0.06010108068585396, -0.3891426920890808, -1.7621474266052246, 0.11789177358150482, -1.4588329792022705, 0.05886669084429741, 1.1279246807098389, 0.11831638962030411, -0.5759834051132202, -0.32636377215385437, -0.13918010890483856, -0.03688516467809677, -0.20573991537094116, 0.41452306509017944, 0.7847549915313721, -0.21195296943187714, -0.3599984049797058, -0.26188111305236816, -0.6914030313491821, -0.5600450038909912, 1.0703953504562378, -0.5210771560668945, -0.19031216204166412, -0.2002425491809845, -0.677730143070221, -0.8952882885932922, -0.8384194374084473, 0.6526801586151123, 0.35490667819976807, 0.5554254055023193, -0.6454368233680725, 0.5163959264755249, 0.9926035404205322, 0.04452214390039444, 0.2680889070034027, -0.18389780819416046, 0.1665843278169632, 0.22689048945903778, -0.887647807598114, 0.12252488732337952, 0.3471256196498871, 0.07980416715145111, -0.04982251301407814, -1.4252084493637085, -0.3762113153934479, -0.7700585126876831, -0.6888748407363892, 1.2208473682403564, -0.2745409309864044, -0.47005948424339294, 1.645448923110962, 0.6044870018959045, 0.8427360653877258, -2.734591245651245, -0.6141737103462219, 0.6992968916893005, -0.7336803078651428, -0.7375373840332031, 0.7307767271995544, -0.05067569762468338, 0.01826963573694229, 0.1959911435842514, 1.3535370826721191, 0.8927193880081177, -0.5722905993461609, 0.34196987748146057, 1.0498385429382324, 0.5203771591186523, 0.9692261219024658, 1.0922459363937378, 0.36829379200935364, 0.4807421863079071, 0.5217522978782654, -0.49762117862701416, -0.8343075513839722, -0.31256139278411865, -1.0375890731811523, -1.1836822032928467, 0.21317586302757263, -0.6145346760749817, -0.6793943643569946, -0.7489633560180664, -0.2748779356479645, -1.0595016479492188, -0.6058033108711243, 0.567222535610199, 0.5313475131988525, 0.4120630919933319, 0.5596255660057068, 0.3648352026939392, 0.32673224806785583, 0.7946282625198364, 0.21405029296875, 2.086914539337158, 2.0807044506073, 1.1510000228881836, 0.14128811657428741, -0.8738795518875122, -0.2847822308540344, -1.5995506048202515, -0.006784485187381506, 0.542223334312439, 0.6051279902458191, -1.5667474269866943, 0.7599110007286072, 1.20272696018219, 0.46022093296051025, 0.02791207656264305, 2.3117661476135254, -0.07740002125501633, 0.020566735416650772, -0.4695349633693695, 0.30124419927597046, -0.09479366987943649, 1.0504748821258545, -0.15199480950832367, -1.4577785730361938, 0.054186057299375534, 0.2985205054283142, -0.34964224696159363, 0.2857758104801178, 0.3241289258003235, 0.2594808340072632, 1.635725498199463, -0.020498843863606453, -0.7552567720413208, 0.9912289977073669, -0.8708770275115967, 1.2874218225479126, 0.46917951107025146, -0.594003438949585, 0.5528451800346375, 0.7026816606521606, -0.11492374539375305, 1.3331780433654785, -0.13482841849327087, 0.269307941198349, -0.35547059774398804, 0.22789406776428223, 0.7508156299591064, -1.3321160078048706, -0.3902133107185364, 0.9825440645217896, -0.43115758895874023, -1.398167371749878, 0.2990906834602356, -0.49225446581840515, -0.5251895785331726, -1.600415825843811, -0.30238521099090576, -0.6495168805122375, -1.10915207862854, 0.9760701060295105, -0.7429752349853516, -0.005130421835929155, -1.1461272239685059, 1.751004934310913, 0.23879295587539673, 0.4726687967777252, -0.4203789234161377, -0.8806560039520264, 0.4075104892253876, -0.19375815987586975, -0.04085751995444298, -0.22857359051704407, -0.914473295211792, 1.8625408411026, -0.5570681095123291, -0.21014158427715302, -0.9978283643722534, 0.1928311139345169, 1.2626980543136597, -1.4939476251602173, 0.2399187535047531, 0.018094975501298904, 0.1647471785545349, -0.7420096397399902, 1.164140224456787, 0.560265064239502, 0.8579837083816528, -0.7848160266876221, 0.19489678740501404, -2.1707215309143066, -1.0062285661697388, -1.0613722801208496, 0.098579540848732, 0.8597156405448914, 0.2354201227426529, 0.26192188262939453, 0.5100157856941223, 2.1456480026245117, -1.1673437356948853, -0.21836625039577484, -0.9459555745124817, -0.2807140350341797, -0.6684427857398987, 0.062218062579631805, 0.04966573417186737, 0.06419625133275986, -0.1313285231590271, 0.006932167802006006, -0.8477597832679749, 0.7536756992340088, -0.17037075757980347, -0.34252801537513733, 1.0420501232147217, -0.12572966516017914, -0.5761366486549377, -0.9285786747932434, 1.3015878200531006, -0.1894390732049942, 0.7093876004219055, -2.470663070678711, 0.47608670592308044, -0.23155245184898376, -0.4203072190284729, 0.21045906841754913, -0.9443711638450623, 0.43968692421913147, -0.20780342817306519, -1.1026734113693237, 0.43945565819740295, 0.7717344760894775, -0.33768755197525024, 0.35679540038108826, -0.4950284957885742, -2.200594902038574, 0.26666709780693054, -0.45040637254714966, 0.12396864593029022, 0.0707714781165123, -0.14727559685707092, -0.30799400806427, -0.15430395305156708, -0.020312348380684853, 0.36025214195251465, 0.1492203325033188, 1.0432853698730469, -0.0022695676889270544, -0.5467023253440857, 0.29299309849739075, -0.9469524621963501, -0.844635009765625, -0.5575765371322632, 1.3773410320281982, -0.22556909918785095, -0.03330840542912483, -0.9851309657096863, 1.2479792833328247, -0.7777954339981079, -0.3330511152744293, 1.044842004776001, 0.8172028064727783, 0.18199531733989716, -0.366624653339386, -0.5878199338912964, 0.46564725041389465, 0.672447681427002, 0.7288665175437927, -0.4265686273574829, -0.0913551077246666, -0.6557181477546692, -0.9795711636543274, -1.5364785194396973, -0.8750115036964417, -5.821717739105225, 0.38029325008392334, -0.1206381544470787, 0.42662709951400757, 0.8082032203674316, 0.016942225396633148, 0.21512524783611298, -0.19135725498199463, 0.054997898638248444, 0.7560496926307678, 1.643076777458191, 0.14344513416290283, -0.34439411759376526, -0.9847227931022644, -0.27235740423202515, -0.48631566762924194, 0.4601159989833832, 0.062126755714416504, -0.9886881709098816, -0.06352647393941879, -0.01950453780591488, 0.8789882659912109, -0.6615299582481384, 0.08057895302772522, -0.7006791234016418, -0.642487108707428, -0.1919127106666565, 0.2196141928434372, -0.568017303943634, -0.34704744815826416, -0.03223339840769768, 1.3657137155532837, -1.2873517274856567, 1.667019009590149, 0.13597612082958221, 0.2727099359035492, 0.6533275842666626, 0.9126827716827393, 0.03456137329339981, -0.8364789485931396, 0.8416855931282043, -0.43553677201271057, -0.3219769299030304, -0.6963043808937073, -0.6739392876625061, 1.6626535654067993, 0.12036856263875961, -1.4903056621551514, -1.4994100332260132, 0.12264451384544373, -1.278569221496582, -0.15099641680717468, -0.6184889078140259, 0.5787268280982971, -0.26354068517684937, -0.0008633725810796022, -1.2098636627197266, -0.4262408912181854, -0.3677985668182373, -0.18691173195838928, -0.04258161038160324, -1.064191460609436, -0.19435538351535797, -0.9598747491836548, -2.309737205505371, -0.20577417314052582, 0.5580320954322815, -0.05045844987034798, -0.08804076164960861, -1.4555128812789917, -0.844024658203125, -1.0119554996490479, -1.5174760818481445, 0.19192412495613098, 0.4012778103351593, -0.6658658385276794, -0.20164170861244202, 1.3799012899398804, -0.30497995018959045, 0.05959496274590492, 1.2108958959579468, 0.1702239215373993, 0.745566189289093, -0.3319961130619049, -0.12618225812911987, -0.3925600051879883, 0.14515572786331177, 1.2306855916976929, -0.23214603960514069, -0.17941613495349884, 0.20623165369033813, 0.9995756149291992, 0.7105684876441956, -0.12273111194372177, 0.23123836517333984, 0.678836464881897, 0.37624457478523254, -0.15197990834712982, 0.09103880077600479, 0.16244767606258392, -1.0111716985702515, -1.0545618534088135, -1.1832606792449951, 1.2016966342926025, -0.7328991293907166, -0.8860093355178833, -2.3888087272644043, 0.6535270810127258, 0.7020129561424255, -0.5152756571769714, -0.2003490924835205, -0.14987285435199738, -0.04024740308523178, 0.11990849673748016, 0.45913681387901306, -0.7236456871032715, 0.2737683653831482, -0.37105846405029297, -0.29715919494628906, -0.40891435742378235, -0.3169991075992584, 0.27531808614730835, 1.1008713245391846, 0.6740131974220276, 0.6751775741577148, -0.27315205335617065, -0.5161588191986084, 0.3528577983379364, -0.5175113677978516, 1.2215622663497925, 0.29404786229133606, -1.1961843967437744, -0.7311155796051025, 0.4875652492046356, -1.1017380952835083, 1.6583842039108276, -0.4273605942726135, 0.24196195602416992, 0.3337061405181885, 1.1666711568832397, 0.5563964247703552, 0.5061724781990051, 0.048683103173971176, -0.05958540365099907, 0.2842962145805359, -0.5290114283561707, -0.7400263547897339, 1.3451086282730103, -0.1509285718202591, -0.15279462933540344, 0.015823854133486748, 0.904174268245697, 0.8622798919677734, 0.8683707118034363, -0.024609331041574478, 0.04245975613594055, -0.18702873587608337, 0.07867897301912308, -0.29837125539779663, -0.5667607188224792, -0.1559758335351944, -0.030089685693383217, 0.4945216774940491, 0.9411701560020447, -0.23246139287948608, -1.909321904182434, 0.07353337109088898, -0.33572569489479065, -1.5162488222122192, -2.1957530975341797, -0.48898404836654663, 0.5178603529930115, -0.4283847510814667, -0.8582683801651001, -0.8701719641685486, -0.2739022970199585, -0.37679535150527954, 0.983769416809082, 0.51664799451828, -1.6453417539596558, -0.687411904335022, -0.09518960863351822, 0.18214908242225647, -0.1558053195476532, -0.37665751576423645, 1.0153052806854248, -0.3893755376338959, -0.966609537601471, 0.833747148513794, 0.3728717267513275, -0.44488900899887085, -0.23288767039775848, -0.12649160623550415, 0.4464208483695984, -0.8100520968437195, 1.4058884382247925, 0.26976725459098816, -0.04214245453476906, -0.6176742911338806, 0.21537236869335175, -0.7900359034538269, 0.048471562564373016, -0.3907400667667389, -0.36353519558906555, 1.0341835021972656, -0.46393442153930664, 0.7185909748077393, 1.0036120414733887, -0.7222859859466553, 0.6450612545013428, -0.0009596711024641991, -1.3121854066848755 ]
121
0704.0123
D. N. Makovetskii
D. N. Makovetskii
Nonlinear Dynamics of the Phonon Stimulated Emission in Microwave Solid-State Resonator of the Nonautonomous Phaser Generator
15 pages, 5 figures. Translated from Russian. Originally published in: Radiofizika i Elektronika (Kharkov), 2001, vol.6, no.1, pp.124-134
null
null
null
nlin.CD cond-mat.other physics.optics
null
The microwave phonon stimulated emission (SE) has been experimentally and numerically investigated in a nonautonomous microwave acoustic quantum generator, called also microwave phonon laser or phaser (see previous works arXiv:cond-mat/0303188 ; arXiv:cond-mat/0402640 ; arXiv:nlin.CG/0703050) Phenomena of branching and long-time refractority (absence of the reaction on the external pulses) for deterministic chaotic and regular processes of SE were observed in experiments with various levels of electromagnetic pumping. At the pumping level growth, the clearly depined increasing of the number of coexisting SE states has been observed both in real physical experiments and in computer simulations. This confirms the analytical estimations of the branching density in the phase space. The nature of the refractority of SE pulses is closely connected with the pointed branching and reflects the crises of strange attractors, i.e. their collisions with unstable periodic components of the higher branches of SE states in the nonautonomous microwave phonon laser.
[ { "created": "Mon, 2 Apr 2007 05:32:43 GMT", "version": "v1" } ]
2009-06-25
[ [ "Makovetskii", "D. N.", "" ] ]
07
[ 0.06738418340682983, 0.10639386624097824, -0.02551133930683136, 0.7795255184173584, 0.4606595039367676, -0.2410668134689331, 1.9760524034500122, 0.4854834973812103, 0.45912885665893555, -0.6187608242034912, 0.4657118320465088, 0.1644984632730484, -0.44342222809791565, 1.1569948196411133, 0.2025129348039627, 0.4983522891998291, 0.9684095978736877, -0.23733478784561157, -0.5074059963226318, -0.577265739440918, 0.046382755041122437, -0.09927473217248917, 0.9264863133430481, -0.181899756193161, -0.6049098372459412, 0.8574666380882263, -0.2557845115661621, 1.503894329071045, -0.36571985483169556, -0.49567919969558716, -1.015734076499939, -0.06476510316133499, 0.5819681286811829, 0.23340977728366852, 0.041321802884340286, -0.030647622421383858, 1.107445478439331, 0.7618956565856934, -0.36681005358695984, 0.4575977325439453, -1.2449873685836792, 1.3224427700042725, -0.37907299399375916, -0.24563556909561157, -0.26227521896362305, 0.35419556498527527, -1.2201049327850342, -0.9162524938583374, -0.4354551434516907, 0.24632346630096436, 0.38246265053749084, 1.1102540493011475, 0.24708037078380585, -0.5272662043571472, -0.1456185281276703, 0.6791535019874573, 0.46648871898651123, 0.7618650197982788, 0.13018882274627686, -0.6746945381164551, 0.3027932345867157, 0.6522115468978882, 0.8854941129684448, -0.42163848876953125, -0.5562585592269897, 0.5102025270462036, 0.5173407196998596, -0.37887805700302124, -0.2575224041938782, 1.3872907161712646, -0.03927602991461754, 0.2985829710960388, -1.198689341545105, -0.6860582828521729, -0.5134838819503784, 0.2690119445323944, 0.22186674177646637, 0.36588138341903687, 1.4913561344146729, 0.785634458065033, 0.32809367775917053, 0.5238407254219055, 0.16820253431797028, -0.28444400429725647, -0.40045276284217834, -0.04626613110303879, 1.039123773574829, 0.13247959315776825, 0.0570467934012413, -0.9631611704826355, 0.6018598675727844, -1.0652254819869995, 0.1683560311794281, -0.8908689022064209, 0.05028267577290535, -0.377154678106308, -0.4706742465496063, -0.10119584947824478, 0.05843082442879677, -0.462472528219223, 0.5480481386184692, 1.3533772230148315, 0.86468905210495, 0.7634021639823914, 0.9614902138710022, 0.22515463829040527, 0.6357588171958923, -0.6176230907440186, -1.200637936592102, 0.8071872591972351, 0.48150914907455444, 0.036033473908901215, 0.4302491247653961, 0.3899654150009155, -0.8944337964057922, 0.34469303488731384, -0.1765037626028061, -0.028226852416992188, 0.28424587845802307, -0.21781477332115173, 0.6249454021453857, 1.0553653240203857, 1.4785908460617065, 0.6597140431404114, 1.005824089050293, -1.0768588781356812, -0.0442424900829792, -1.2714207172393799, -1.545764684677124, 0.17962540686130524, 0.37231940031051636, 0.4908899664878845, -0.9639983773231506, -0.09427794069051743, 0.07533246278762817, 1.2262072563171387, 0.23302626609802246, -0.8412861227989197, -0.6160696744918823, -0.35421472787857056, 0.03666503727436066, 0.7318686842918396, -1.3645926713943481, -0.18217553198337555, 0.9402683973312378, -0.3427600562572479, 0.3086067736148834, -0.7268858551979065, 0.3107159435749054, 0.09039086848497391, 1.1773656606674194, 0.12226489186286926, 0.41201066970825195, 0.8360816836357117, -0.42954790592193604, -0.4894988238811493, 0.689693033695221, 1.9591926336288452, -0.06181894987821579, 1.45171058177948, 0.594844400882721, 0.2930746078491211, 0.9021163582801819, -0.749904453754425, -0.197085902094841, -1.0755832195281982, 0.7278651595115662, -0.4693397581577301, -0.194365456700325, -0.015651902183890343, -0.3473355770111084, 0.6935943365097046, 0.5036286115646362, -0.16921019554138184, -1.406894326210022, -0.25077560544013977, 1.1336429119110107, 0.23310130834579468, -1.021671175956726, -0.16161464154720306, 0.15621238946914673, -0.8847276568412781, 0.28886517882347107, 1.0725077390670776, -0.045844241976737976, -0.5813679695129395, 1.4640032052993774, -0.5304245352745056, 0.7981488108634949, -0.5193097591400146, 0.4946470260620117, 0.4182461202144623, 0.3334345519542694, -0.6764549612998962, -0.7733490467071533, 0.2928227484226227, 0.8189284801483154, 0.795804500579834, -1.0752482414245605, -0.025137830525636673, -0.44987913966178894, -0.4466681480407715, -0.502964973449707, 0.49487951397895813, 0.08786370605230331, 1.097524881362915, -2.803284168243408, -0.9219749569892883, -0.05472981929779053, 0.21044215559959412, -0.8279093503952026, -0.1413886994123459, -1.142783284187317, 0.6035069823265076, 0.6107173562049866, -0.5807457566261292, -1.7176427841186523, -0.43726634979248047, -1.3088361024856567, 0.09027815610170364, -0.5021042227745056, 0.49038708209991455, -0.5593641996383667, 0.733446478843689, 1.0228567123413086, -1.7449345588684082, -0.46892544627189636, -0.14078883826732635, -0.5578662753105164, -0.5730240941047668, 1.5798686742782593, -0.5601524114608765, -0.3479806184768677, 0.15669694542884827, -0.003982062451541424, 0.06414580345153809, -0.2312627136707306, 0.0841534212231636, -0.6432482004165649, 0.36041080951690674, -1.1941765546798706, 0.3750881552696228, 0.23577278852462769, 1.0465291738510132, 0.20068365335464478, -0.34960129857063293, 0.7294771671295166, 0.3412458002567291, -0.5703411102294922, -0.3716605007648468, 0.7652483582496643, 0.30835944414138794, 1.374542474746704, -1.3622075319290161, -0.2796429693698883, -0.6505376100540161, 0.9179720282554626, -1.5852866172790527, 0.4100901186466217, 0.6489657163619995, -0.2536514103412628, -0.7067857980728149, 0.2814444601535797, 0.24883033335208893, 0.022041620686650276, 0.5215902924537659, 1.2995480298995972, 0.41220906376838684, -0.00002648149529704824, -0.016805555671453476, 0.22934269905090332, -0.21572090685367584, 0.48592880368232727, 1.027307391166687, 0.9281108975410461, -0.5738959908485413, -0.4560129940509796, -0.1488000601530075, -1.110257863998413, -0.7746439576148987, 0.030245905742049217, 0.20090250670909882, 0.7770314812660217, 1.163021445274353, 0.19682413339614868, -0.4958067536354065, 0.8730091452598572, 0.2697080969810486, 0.06765121221542358, 0.29343166947364807, -0.1612899899482727, -0.20789603888988495, 0.5043537616729736, 0.7023422122001648, -1.7870317697525024, -0.4999460279941559, -0.165276899933815, -0.4036199450492859, 0.464015930891037, -0.7556947469711304, 0.5578814148902893, -1.4974132776260376, 0.0259755440056324, -0.19938874244689941, 1.4985523223876953, -0.1781819760799408, 0.752183198928833, -0.18072597682476044, 0.8846467137336731, 1.2524744272232056, -0.23481768369674683, 0.732179582118988, 0.675144374370575, 0.15332531929016113, 1.0559090375900269, 0.5635638236999512, -0.30267876386642456, -0.2572447955608368, -0.7297669053077698, -0.7056701183319092, -1.3409444093704224, 0.5614429712295532, 0.4451356828212738, -0.8158257603645325, -1.1038038730621338, 0.19500449299812317, -0.31113842129707336, -0.2330629974603653, 0.5392584204673767, 0.6957753896713257, -0.427592396736145, -0.3946670591831207, -1.3615814447402954, 0.2571181654930115, -0.026572462171316147, -0.543786883354187, -1.2375788688659668, -0.5629316568374634, 1.1381150484085083, -0.3478986918926239, -0.6900063753128052, 1.2586584091186523, 0.8747541308403015, -0.1091608926653862, -0.7234900593757629, 0.04453389346599579, -0.017528610303997993, 0.06360632181167603, 0.3364033102989197, -0.778605580329895, -0.6136571168899536, -0.5302245020866394, -0.3710199296474457, -0.6171960234642029, -0.39899182319641113, 1.157478928565979, 0.500281035900116, 0.048580922186374664, 1.0045865774154663, -0.6150093078613281, 0.3704793453216553, -1.467168927192688, -0.765683650970459, -0.4458347260951996, 0.15078109502792358, -0.27449551224708557, -0.22729623317718506, -0.22070664167404175, 0.44560205936431885, -0.386508584022522, -0.5886584520339966, 0.8650057315826416, -0.12294860929250717, 0.14298173785209656, -1.4992976188659668, -0.4514732360839844, -1.5310038328170776, 0.07282065600156784, 0.3558250069618225, 0.2402864694595337, -0.7962384819984436, 0.31574174761772156, 1.5880379676818848, -1.226143717765808, -0.3562663197517395, -0.6387287974357605, -0.6629918813705444, 0.9315451979637146, -0.5475591421127319, 0.8405101895332336, -0.8814390301704407, -0.24315623939037323, 0.3970557153224945, 0.2945253551006317, 0.07473965734243393, -0.7904091477394104, 1.3405120372772217, -0.05595552176237106, 0.7653768658638, 0.07660593092441559, 1.1001694202423096, 0.03264505788683891, 0.08895596861839294, -0.5236058235168457, 0.159286767244339, 0.7586876749992371, -0.11176329106092453, 0.19160617887973785, 0.7189083099365234, -0.5152614712715149, 0.15909957885742188, -1.217034935951233, -0.07862161099910736, -1.2579760551452637, 1.657841444015503, -0.955989420413971, -1.248878002166748, 0.6224753260612488, 0.3283769488334656, 0.37092578411102295, 0.6549723148345947, 0.3090765178203583, 0.42569389939308167, 0.5876713395118713, 0.6407501101493835, 0.19369953870773315, -1.0257115364074707, -1.0729131698608398, -0.891851544380188, -0.7807166576385498, -0.42468589544296265, 0.9740681052207947, -0.7224869728088379, 1.7414597272872925, -0.24112020432949066, 0.07073509693145752, -0.10771752893924713, -0.07273517549037933, -0.3585532009601593, 0.09449753165245056, -0.04109074920415878, 0.1161503791809082, 0.385494202375412, -0.8538215756416321, 1.1918766498565674, -1.1508575677871704, -0.47118616104125977, 0.4857737123966217, 0.12206082791090012, -0.7634910941123962, -0.4505535364151001, 0.6347569227218628, -0.6340015530586243, -0.8558449745178223, -0.045470450073480606, -1.3163104057312012, -0.2788372039794922, -0.24865448474884033, -1.3984365463256836, -0.10096342116594315, -0.11981073766946793, -0.47210821509361267, 0.28950440883636475, -1.860855221748352, -0.6391777396202087, -0.7525720596313477, 0.5923659801483154, 0.11303254961967468, 0.026361344382166862, -0.5918051600456238, -0.4977472126483917, -0.13573436439037323, 0.5931476950645447, 0.05485464259982109, -0.1670060157775879, -0.22558404505252838, 0.020059384405612946, -0.14795172214508057, 1.0299293994903564, -0.3137306272983551, 0.9092621803283691, 0.5668624639511108, -0.9940373301506042, -0.47699174284935, -0.7702916264533997, 0.5131582021713257, -0.17901763319969177, 0.4048399329185486, -0.4324965476989746, -0.15073713660240173, -0.6497710347175598, -0.294794499874115, 0.19899284839630127, 0.05389440059661865, -0.9677665829658508, -0.2804696261882782, 0.2919277548789978, -0.31023451685905457, -1.4457005262374878, -0.6660735011100769, 0.6623094081878662, -1.412168025970459, -0.4570615589618683, -0.6428744196891785, -1.4569787979125977, 0.1954931765794754, -0.24500000476837158, 0.6314754486083984, -0.8636398911476135, 0.4732913076877594, 0.8058526515960693, 0.31071385741233826, 0.7068105340003967, 1.5734491348266602, -0.08347932994365692, -1.1422661542892456, -0.02387353405356407, -3.107107400894165, 1.0001602172851562, 0.4052843153476715, 0.4777944087982178, 0.9130224585533142, 0.32577818632125854, 0.06231013685464859, -1.0970191955566406, 0.33008265495300293, 1.195840835571289, -0.6491740345954895, 0.21682868897914886, -1.3830293416976929, -0.5236177444458008, 0.6011077761650085, -0.0065310243517160416, 0.1051371768116951, 0.6601932644844055, -0.00934620387852192, 0.6575467586517334, -0.26721063256263733, -1.1978482007980347, -0.5834879279136658, -0.31235238909721375, -0.38335981965065, 0.5729761719703674, -0.3821171224117279, -0.03467675670981407, -0.036260902881622314, -1.0735254287719727, -0.03730015829205513, -0.07838913053274155, 0.3340819478034973, -0.4048614203929901, -0.8936066031455994, -1.2088990211486816, 0.05648898705840111, 0.863063395023346, -0.2716664671897888, -6.9274516105651855, 0.5102049112319946, -0.44139599800109863, 0.24969078600406647, 0.33416637778282166, 1.6308784484863281, 0.849959671497345, -0.09127788245677948, -0.4906765818595886, 0.2580881118774414, 0.27825602889060974, -0.12450599670410156, -0.7751106023788452, -0.8746322989463806, -0.13664735853672028, -0.3608624041080475, -0.6372207403182983, 0.4784614145755768, -0.06900350004434586, 0.4264833629131317, -0.6634259819984436, 0.7556507587432861, 1.1259138584136963, -0.30194368958473206, -0.255271852016449, -1.4289376735687256, -1.0168555974960327, 1.1347967386245728, -1.2656188011169434, 0.4908287525177002, -0.08951431512832642, 1.4040966033935547, -0.1614881008863449, 0.19189564883708954, -0.4261937141418457, 0.4773532450199127, 1.0953304767608643, 1.8388879299163818, 0.39288830757141113, -0.5038238763809204, -0.09326446801424026, -0.9109067320823669, -1.0461171865463257, -0.600932776927948, -0.3017066419124603, 0.6489471793174744, -1.070884346961975, 0.7359396815299988, 1.26766836643219, -0.27103638648986816, -0.029902052134275436, -1.1248764991760254, -0.07895806431770325, 1.7437806129455566, -0.29388681054115295, -1.0558574199676514, -1.0929858684539795, -0.9931322932243347, 0.6850956082344055, 0.9871916174888611, -0.5303215980529785, -0.7372229099273682, -1.2926771640777588, -1.7584627866744995, -1.9913110733032227, 0.6237821578979492, -1.261073112487793, -1.379935622215271, -0.03334619104862213, -1.0104091167449951, -0.4809602200984955, -2.140988349914551, -1.1544487476348877, 0.18369291722774506, 0.79733806848526, -0.5325562357902527, -0.33910641074180603, -0.42501479387283325, -1.099700689315796, -0.31906819343566895, -0.4390348494052887, 1.5487492084503174, -0.10215286165475845, 0.4796414375305176, 0.9925795197486877, -0.11047632247209549, -0.5195075273513794, 0.0585721880197525, -0.37385690212249756, -0.05609660595655441, 0.6015231013298035, -0.08085749298334122, -0.2941013276576996, 0.3152333199977875, 0.17616990208625793, 0.8788731098175049, 0.7941205501556396, -0.7177684307098389, -0.15611468255519867, -1.6897355318069458, 0.10714536905288696, -0.06048925593495369, -0.7561870217323303, 1.0106158256530762, -0.13377700746059418, -0.43221813440322876, -0.3376151919364929, -0.39013671875, 0.31310781836509705, 0.44098445773124695, 0.28391754627227783, 0.5172356963157654, -0.6994589567184448, 0.21692150831222534, -1.0369093418121338, 0.8926016688346863, -0.045204658061265945, 1.1272999048233032, -0.4032711684703827, 0.06031132489442825, -0.12528613209724426, 0.13617628812789917, -0.6840247511863708, 2.395656108856201, -0.5959761738777161, -0.19381798803806305, -1.2080607414245605, -0.4857423007488251, 0.15346863865852356, -0.25002339482307434, 0.35347816348075867, -0.5611609220504761, 0.15624485909938812, 0.5376293659210205, 0.20899230241775513, 0.24664783477783203, 0.1148160919547081, -0.42705902457237244, 0.18474481999874115, -1.0011204481124878, 0.7400704622268677, -0.22103102505207062, -0.690616250038147, 0.6610880494117737, 0.2818141579627991, -1.3007431030273438, -1.0192031860351562, -0.19012971222400665, -0.6361358165740967, -0.409389853477478, 0.6960000991821289, -0.04423880577087402, -0.7646164894104004, -0.25524449348449707, 0.3237709105014801, -0.8405582308769226, 0.5979785919189453, -1.7178839445114136, -0.20394960045814514, -0.025084197521209717, -0.07215361297130585, -0.09266567975282669, 0.3179875910282135, 0.09512791037559509, -1.0764397382736206, -0.7537971138954163, 0.17589890956878662, 1.1126604080200195, 0.667944073677063, -1.2218151092529297, -0.3141631484031677, 0.43986886739730835, 0.9802946448326111, -0.3357752859592438, -0.1848384439945221, -0.14868775010108948, -0.6428164839744568, -0.43973830342292786, 0.19469164311885834, -1.3770290613174438, 0.49713194370269775, 0.7661588191986084, 0.43934500217437744, 1.4374490976333618, 0.5355634093284607, -0.23217976093292236, -0.6852656006813049, 1.0687347650527954, -0.7404500246047974, -0.6993699669837952, 0.14286378026008606, 0.5136963129043579, 0.30952855944633484, -0.37880727648735046, -0.8254234194755554, -0.9420120120048523, 0.5587029457092285, -1.798776388168335, -0.6685174703598022, 0.4051409959793091, 1.173474907875061, 1.2891415357589722, -0.1905515491962433, -0.00433892710134387, 0.953000009059906, -0.4233713150024414, -0.627305805683136, 0.5835673809051514, -0.8390629291534424, 0.703521192073822, 0.6527799367904663, -1.6065711975097656 ]
122
0704.0124
Alexander Tumanov
Bernard Coupet, Alexandre Sukhov, and Alexander Tumanov
Proper J-holomorphic discs in Stein domains of dimension 2
22 pages; corrected typos, updated list of references
null
null
null
math.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove the existence of global Bishop discs in a strictly pseudoconvex Stein domain in an almost complex manifold of complex dimension 2.
[ { "created": "Mon, 2 Apr 2007 05:55:19 GMT", "version": "v1" }, { "created": "Thu, 3 Jan 2008 01:59:35 GMT", "version": "v2" }, { "created": "Sun, 5 Oct 2008 04:31:23 GMT", "version": "v3" } ]
2008-10-05
[ [ "Coupet", "Bernard", "" ], [ "Sukhov", "Alexandre", "" ], [ "Tumanov", "Alexander", "" ] ]
07
[ 0.9006969332695007, -0.45402929186820984, 0.21030272543430328, -0.940495491027832, 0.2679281234741211, -0.9999398589134216, 0.27009230852127075, -0.6493998169898987, -0.6866394877433777, -0.445010244846344, -0.11017601191997528, -0.38979965448379517, 0.061497051268815994, -0.39493244886398315, 0.4940390884876251, -0.019256703555583954, 1.1052169799804688, 0.05767445266246796, -1.0921329259872437, 0.7552812695503235, 0.0486978180706501, -0.6846618056297302, 0.47338971495628357, 0.07049219310283661, 0.21353664994239807, -0.9376631379127502, -0.20393693447113037, 0.6971237659454346, -0.2771621644496918, -0.6060642004013062, -0.2514999806880951, 0.08100446313619614, -1.395471453666687, -0.2568119466304779, 0.05373772978782654, 0.3495683968067169, -0.4923011064529419, 0.37023016810417175, -0.4492509365081787, -0.1521868258714676, -1.020939588546753, 0.13826380670070648, -0.4963252544403076, -0.20983316004276276, -0.9245396852493286, -0.4660140573978424, -0.2713828384876251, -0.37735405564308167, -0.05340942367911339, 0.22611917555332184, 0.994218111038208, 0.30525171756744385, 0.823426365852356, -1.325925350189209, 0.03669202700257301, -0.6539572477340698, -0.7753405570983887, 0.12694767117500305, 1.4737664461135864, -1.1931198835372925, -0.422546923160553, 0.027241114526987076, 0.047341205179691315, 0.7736631035804749, -0.6607678532600403, -0.35316771268844604, 1.2788695096969604, 1.3603004217147827, 0.5621005892753601, 0.15789805352687836, 1.0035839080810547, -0.3341626524925232, -0.5415344834327698, -0.6281583309173584, -0.7907294631004333, 0.23411338031291962, 0.10760072618722916, 1.7994953393936157, -0.2489989995956421, 0.33719250559806824, 0.03876156359910965, 0.892585277557373, -1.1987788677215576, 0.4645933210849762, -0.4529750347137451, -1.5458385944366455, 0.9549306035041809, 0.009664317592978477, -0.13497667014598846, 0.25419262051582336, 0.8561303615570068, -0.6893334984779358, 0.03336941823363304, 0.272881418466568, 0.7426894307136536, -1.0097593069076538, -0.10885979980230331, 0.9402117729187012, 0.6354928612709045, -0.26518383622169495, 0.8408299684524536, 1.269447684288025, 0.18769069015979767, 0.6456038951873779, 0.1385508030653, -0.876122236251831, 0.6011592745780945, -0.8878638744354248, 1.3946681022644043, 0.13584676384925842, -0.0007152307080104947, -0.7896410822868347, 0.3964604437351227, 0.7498304843902588, -1.7620941400527954, -0.7357098460197449, -0.7772447466850281, 0.6019671559333801, -0.19553285837173462, -1.3913567066192627, 0.09159089624881744, -0.1283167153596878, -0.34399130940437317, -0.12295759469270706, -0.17334631085395813, 0.013241457752883434, -0.7714264392852783, -0.4509226977825165, -0.44018039107322693, -0.3338227868080139, 0.17983853816986084, 0.44755616784095764, 0.48566049337387085, -0.18127375841140747, 0.005286409519612789, -0.8222575783729553, -1.2879146337509155, -0.40369606018066406, -0.5963355898857117, -0.9142038226127625, -0.7907159328460693, 0.1875537931919098, -0.24842284619808197, 0.24886652827262878, 0.14532405138015747, 1.1369162797927856, 0.23866544663906097, -0.3618222773075104, 0.24444012343883514, 0.35776424407958984, 0.9623036980628967, -0.8671475648880005, -0.49043169617652893, 0.22597286105155945, -0.040085483342409134, 0.5591299533843994, -0.0015141644980758429, 0.41570577025413513, 0.5767512321472168, 0.15383832156658173, 0.8226230144500732, 0.25347572565078735, -0.6639710068702698, -0.4454062283039093, 0.23211774230003357, 0.4287681579589844, -0.14593741297721863, -0.12779037654399872, 0.8385499119758606, -0.039313703775405884, -0.7814862728118896, -0.38553041219711304, -0.30299127101898193, 0.48102521896362305, 0.3329820930957794, 0.39014410972595215, 0.2482306957244873, 0.19309157133102417, 0.13414740562438965, -0.18065975606441498, -1.0590741634368896, -0.7051258683204651, 0.1322227120399475, 0.8159511685371399, -0.1339101642370224, -1.4388216733932495, -0.5731214284896851, -0.10842087119817734, 1.4670963287353516, -0.3972761034965515, -0.6239671111106873, 1.7945915460586548, -1.1509935855865479, -1.2918620109558105, 0.0578932985663414, 0.7979912161827087, -0.9474895000457764, 0.6709129214286804, -0.15810753405094147, 0.27882248163223267, 0.21779854595661163, 0.2968020439147949, -0.9820852875709534, 0.11013776063919067, -0.05682314932346344, 0.6280836462974548, -0.26843786239624023, 0.10548283904790878, 0.9775338172912598, -0.49933892488479614, -1.029643177986145, 1.0829627513885498, -0.41969892382621765, 0.5651833415031433, 1.3089944124221802, 0.08239705115556717, -0.516029953956604, 0.07804207503795624, 0.04087337106466293, 0.19203829765319824, -1.0279375314712524, 1.0165462493896484, -0.15362603962421417, 0.2222660481929779, 0.5284605622291565, -0.05332687869668007, 0.9014945030212402, -0.1008043885231018, -0.7900824546813965, 0.4828032851219177, 0.16102911531925201, 0.2828565537929535, -0.6602663397789001, -0.8451706767082214, 0.27632248401641846, -1.1968944072723389, -0.4611276388168335, 0.08184364438056946, 0.23615266382694244, 0.6057899594306946, 0.04708728939294815, 0.6075918078422546, -0.5105892419815063, -0.733521044254303, -0.9647911787033081, 0.357282817363739, -0.5061050057411194, 0.4744335412979126, 0.2377377450466156, 0.7971052527427673, -1.0493600368499756, 0.8511431813240051, -0.6658666729927063, -0.688656210899353, -0.40263980627059937, 1.2801076173782349, 0.01329624280333519, -1.294812798500061, -2.389313220977783, 0.20796619355678558, 0.5102055072784424, -0.6689772009849548, -0.0004878464387729764, 0.08090300112962723, 0.20557038486003876, -0.08586297184228897, 1.6702524423599243, -0.46244457364082336, -0.011362376622855663, 1.0140864849090576, -0.10795442014932632, 0.3399832844734192, 0.3862811326980591, -0.521542489528656, -0.4391136169433594, -1.1158417463302612, 0.0189181100577116, -0.3395932614803314, -0.23812557756900787, 0.15709581971168518, 0.7812852263450623, 0.005551583599299192, 0.3710223436355591, 1.9087973833084106, 0.8746143579483032, 0.7298718690872192, -0.12876610457897186, 1.530479907989502, 0.08698835968971252, 0.045549388974905014, -1.19716477394104, -0.4831857979297638, 0.32821425795555115, 0.32734882831573486, -0.2837027311325073, -0.23553013801574707, -0.2519330382347107, 0.747515857219696, 0.13945449888706207, 0.4906040132045746, 0.6675087809562683, -0.2695731520652771, -0.8721138834953308, 0.7529346346855164, 0.2118748426437378, -0.07231263816356659, -1.1062874794006348, 0.5670245289802551, -0.9447148442268372, 0.06538654118776321, -0.2801153063774109, -0.132837176322937, 0.40804386138916016, -1.5575995445251465, 0.3795004189014435, 0.43596142530441284, 0.6858497858047485, -0.25444090366363525, 0.3748472332954407, -0.8454021215438843, 1.288587212562561, -0.9505061507225037, 0.366224080324173, -1.0246331691741943, -0.2707589864730835, -1.038435459136963, -0.41743186116218567, 0.45260271430015564, -0.6324581503868103, 0.9775691032409668, 0.08622221648693085, -0.10166438668966293, 0.657256007194519, 0.5281080007553101, -1.4307379722595215, -1.011536955833435, -1.9011640548706055, 0.39342793822288513, 0.6708231568336487, -0.5203161835670471, -0.36423537135124207, 0.7285731434822083, -0.5396630764007568, -0.009161395952105522, -0.9825756549835205, -0.18001317977905273, 0.480371356010437, -0.5227516889572144, -0.46114417910575867, 0.7846176028251648, 0.8302258849143982, -1.0497772693634033, -0.5265658497810364, 1.416831612586975, 0.6817719340324402, 0.3101123571395874, -0.14392197132110596, 0.8462696671485901, -0.6173512935638428, -0.3063598573207855, 0.3823368549346924, 0.055745936930179596, 1.1530579328536987, -0.5033711791038513, 0.2577618658542633, 0.3290415406227112, -0.652654230594635, -0.2966488003730774, 1.702102541923523, 0.14221563935279846, 0.40537241101264954, -0.6430304646492004, -0.9582410454750061, 0.07076562941074371, -0.6647154092788696, 0.175632044672966, -0.49185681343078613, 0.5807157754898071, -0.7904852628707886, 0.518476665019989, 0.4773050546646118, 0.6612720489501953, 0.9054659008979797, -0.4137606620788574, 0.8957253098487854, 0.28990641236305237, -0.464349627494812, -0.405058890581131, -0.5142170190811157, -0.7678788304328918, 0.22484034299850464, 0.5718770027160645, 0.4484347105026245, 0.8807653784751892, -0.25308170914649963, 0.6277546882629395, -0.07958833873271942, -0.404631644487381, 1.454306960105896, 1.4024211168289185, -1.2519174814224243, -0.396799236536026, -1.1863114833831787, 0.9387876987457275, -1.462715983390808, -0.34936633706092834, 0.275678813457489, 0.824560284614563, 0.15731966495513916, 1.408630609512329, -0.9378368258476257, 1.316561222076416, -1.360260009765625, 0.001057568471878767, 0.27769097685813904, 0.6822990775108337, -0.4946495294570923, 0.7075403928756714, -0.2892727851867676, -0.7684093713760376, 0.3480963408946991, -0.4901488721370697, 0.6490665078163147, -0.7740938067436218, -1.3295058012008667, 0.0931304469704628, -0.10914825648069382, -0.5022293329238892, 0.3832688629627228, 0.2174309939146042, 0.4005809724330902, -0.28780514001846313, 0.41621285676956177, -0.4628537595272064, 0.013236472383141518, -0.5356365442276001, 0.36889657378196716, 1.2798994779586792, 0.19481174647808075, -0.19587074220180511, -1.5170146226882935, 0.21621130406856537, -0.31965476274490356, -0.023437755182385445, -0.200364887714386, -0.8410739302635193, -0.9075883626937866, 0.7393630146980286, -0.15926532447338104, 0.09500586241483688, 0.23048225045204163, -0.7278994917869568, 0.5604077577590942, -0.36873719096183777, 0.9959247708320618, 0.3617349863052368, -0.8043215870857239, -0.06160518154501915, 0.44005993008613586, -0.5777196884155273, -1.3508321046829224, -0.315687894821167, -0.7704577445983887, -0.1555255949497223, 0.32562255859375, -0.2676381766796112, 0.5342464447021484, 0.9373551607131958, 1.0255694389343262, 1.26264226436615, 0.4834231734275818, -1.2301996946334839, -0.1846245676279068, -0.8815776705741882, 1.1961482763290405, -1.3790024518966675, -0.934212863445282, 0.5591409206390381, 1.2346413135528564, 1.4509189128875732, 1.4119428396224976, -1.2288063764572144, -0.11476773768663406, -0.3449820280075073, -0.7100254893302917, 0.15582558512687683, 1.136439561843872, 1.3696141242980957, 0.776846706867218, -0.12115322053432465, -0.6395583748817444, -0.10532362014055252, -1.0560476779937744, -1.5787581205368042, -0.2792746126651764, 0.4868447780609131, -0.24960865080356598, -0.586294949054718, -0.6061474084854126, 0.8732073903083801, 0.4715118110179901, 1.7048654556274414, 0.16717909276485443, 0.4169629216194153, -1.8316551446914673, 0.2141447514295578, -0.5741773247718811, 0.9551973938941956, -0.23029807209968567, 0.3897721469402313, -1.4945752620697021, -0.08103436976671219, 1.4502654075622559, -0.8398306369781494, 0.029495734721422195, 0.18588271737098694, 0.4369337260723114, -2.593339443206787, 0.1323075294494629, 0.09125908464193344, -1.9966191053390503, 0.2155589610338211, 0.297409325838089, -0.18383821845054626, -0.2298995703458786, -0.2852232754230499, 0.37810781598091125, -0.8225212693214417, 0.01539828721433878, -0.11862793564796448, -0.6745370030403137, 0.5391606092453003, 0.7162947058677673, 0.9747180342674255, -0.2504023611545563, -2.127506971359253, 0.9418054819107056, -0.15238018333911896, -0.14208510518074036, 0.03651037812232971, 0.4225061237812042, -0.5156392455101013, -0.012836428359150887, 1.3568943738937378, 0.26011645793914795, 0.049058374017477036, 2.03208065032959, -0.7787042856216431, 0.2429206669330597, 0.1601785123348236, -0.7570421099662781, 1.085246205329895, -0.2923409938812256, 0.1610424667596817, -1.4345022439956665, -1.0434836149215698, -7.538742542266846, 0.19625414907932281, 0.022897634655237198, 0.9937521815299988, 0.33387359976768494, 0.32102125883102417, -0.3811017870903015, 0.2941141724586487, 0.3640707731246948, 1.8440457582473755, 0.029470689594745636, -0.0988934189081192, 0.9569467902183533, -0.2379971295595169, -0.15805001556873322, -1.3597149848937988, 0.45938006043434143, 0.6777877807617188, 0.20918504893779755, -0.7323649525642395, -0.18493454158306122, -1.0500863790512085, 1.2228989601135254, -0.9903349876403809, 0.5345449447631836, -0.1173408254981041, -0.16338881850242615, -0.25716549158096313, -0.5162937045097351, 0.592548668384552, -0.6476060152053833, 1.3482131958007812, -0.24502766132354736, 0.02233852818608284, 0.06592350453138351, -0.14941570162773132, -0.1779041886329651, 0.010783067904412746, -0.13958026468753815, -0.5859754085540771, -0.11370242387056351, 0.23459050059318542, -0.06453006714582443, -0.30682066082954407, -0.9851170778274536, 1.0258756875991821, -0.5043579936027527, 0.621902585029602, 1.3366923332214355, -1.8904097080230713, -0.13392958045005798, -0.3036634027957916, 0.29684320092201233, -0.6186577677726746, -0.04138415679335594, 0.416767954826355, -0.46114081144332886, -0.02979176491498947, 0.07212430983781815, 0.19990037381649017, -1.2583684921264648, -0.7287367582321167, -0.5156493186950684, 0.06912055611610413, 0.1129310205578804, 0.10732563585042953, 0.19351711869239807, -0.4426424503326416, 0.8391068577766418, -0.35835129022598267, -0.13712458312511444, 0.0917258933186531, -1.5056160688400269, 0.17945370078086853, -0.9169211387634277, -0.836439847946167, -0.5467468500137329, 1.0757942199707031, -0.26372483372688293, -0.2772500216960907, -1.351778507232666, -0.8574981689453125, 0.025131024420261383, 0.8032978177070618, -1.3437882661819458, 0.19763590395450592, -0.22625112533569336, 0.7163959741592407, -0.414150595664978, 0.10143263638019562, -0.20690976083278656, -0.804745614528656, -0.28663960099220276, 0.10962298512458801, 0.3891184628009796, -0.6734535098075867, -0.504766583442688, -0.4170078635215759, 0.09254428744316101, -0.22105084359645844, -0.16263271868228912, 1.0346647500991821, 1.2299860715866089, 0.6566919088363647, 1.089477777481079, -0.08597598224878311, -1.5197972059249878, -0.21579355001449585, 1.1004940271377563, 0.8100760579109192, 0.02719438448548317, 0.2494049221277237, 0.7338947653770447, -0.6667197942733765, -0.328053742647171, 1.2224347591400146, 0.15164786577224731, 0.607544481754303, -0.8412247896194458, -1.1438357830047607, -0.03261687979102135, -0.7232196927070618, -1.5108668804168701, 0.9387949109077454, -0.3860989809036255, 0.9833779335021973, -0.965350329875946, -0.3494725525379181, -0.7600845098495483, -1.9669110774993896, 0.2142670452594757, 0.08218153566122055, -0.37786129117012024, -0.4008926749229431, 0.016935398802161217, -1.3546440601348877, -0.06176284700632095, -1.6624412536621094, 0.21716849505901337, -0.3601584732532501, -0.019482769072055817, 0.06627322733402252, 0.4191288948059082, 1.156833529472351, 0.5407090783119202, 0.603537917137146, -0.6455817818641663, -0.24589012563228607, 0.40569984912872314, -1.2068477869033813, 1.5722737312316895, -0.28923729062080383, 1.0661777257919312, 0.38524436950683594, -0.6155906319618225, -1.022618293762207, 1.7785025835037231, -0.747809648513794, -0.27657651901245117, 0.10020516067743301, 0.021415166556835175, -0.9413722157478333, 1.203764796257019, 1.2961195707321167, -0.2813459038734436, 0.23375765979290009, 0.10606907308101654, -0.6465789079666138, 0.3799384832382202, 0.34471097588539124, -0.043637339025735855, 0.11631765961647034, -0.13159744441509247, 0.08775456249713898, 0.21294113993644714, -0.7769110202789307, -0.25209304690361023, -0.6338707804679871, 0.18377548456192017, -0.6782454252243042, -0.1324707716703415, -0.11943484097719193, -0.1223151758313179, -0.6019402146339417, -1.013988733291626, 1.1657164096832275, -1.5128473043441772, 0.2447638213634491, 0.5033018589019775, 1.634963870048523, 0.06515873223543167, -0.7074832320213318, -1.5244355201721191, 0.260151743888855, -1.7727835178375244, 0.6546799540519714, -0.9942173361778259, -1.1023354530334473, 0.4094870984554291, -0.5891084671020508, -0.9687355160713196, 0.5636782050132751, -0.8970502614974976, 0.31523415446281433, 0.09629750996828079, -1.0250327587127686, -0.053978342562913895, 0.9271321296691895, 1.0640546083450317, -0.6919390559196472, 0.06615668535232544, -0.3910515308380127 ]
123
0704.0125
Jens Wirth
Michael Reissig and Jens Wirth
Anisotropic thermo-elasticity in 2D -- Part I: A unified approach
22 pages;
Asymptotic Analysis, 57 No. 1-2, 1-27, 2008
10.3233/ASY-2008-0863
null
math.AP
null
In this note we develop tools and techniques for the treatment of anisotropic thermo-elasticity in two space dimensions. We use a diagonalisation technique to obtain properties of the characteristic roots of the full symbol of the system in order to prove $L^p$--$L^q$ decay rates for its solutions.
[ { "created": "Mon, 2 Apr 2007 06:09:31 GMT", "version": "v1" }, { "created": "Tue, 21 Aug 2007 09:54:35 GMT", "version": "v2" }, { "created": "Thu, 15 Nov 2007 13:32:24 GMT", "version": "v3" } ]
2008-04-10
[ [ "Reissig", "Michael", "" ], [ "Wirth", "Jens", "" ] ]
07
[ 0.8725814819335938, -0.017199652269482613, -1.4023851156234741, -0.22284381091594696, -0.5424947142601013, -0.35646742582321167, 0.3051970601081848, 0.1300884634256363, -1.3725264072418213, 0.3840741515159607, -0.07059499621391296, -0.6340680122375488, 0.40941083431243896, -1.4363775253295898, -0.676216721534729, -0.7850804924964905, -0.4377979338169098, -0.2039610594511032, 0.7347339987754822, 0.6584596633911133, 0.2160530686378479, 0.33217352628707886, 0.39219483733177185, -0.24612100422382355, -0.19420339167118073, -0.8529102802276611, -1.372214674949646, 2.7799010276794434, 0.8063609600067139, 0.26971492171287537, 1.3271129131317139, 0.22371263802051544, 0.41822850704193115, -0.7797117233276367, -1.0741796493530273, 0.4802812337875366, 1.1400166749954224, 0.16568928956985474, 0.300189346075058, -0.33762428164482117, 0.10999778658151627, 0.1444314867258072, -1.0320258140563965, 0.9288491010665894, -0.41604194045066833, -1.4945025444030762, 0.07913555204868317, -0.5320269465446472, 0.31162121891975403, 0.016166726127266884, 0.8376532196998596, 0.9257649183273315, 0.27351105213165283, 0.2913380265235901, 0.9618499279022217, 0.7631250619888306, -0.8120356202125549, 0.5089919567108154, 0.8343567848205566, -0.16657654941082, -0.25956371426582336, 0.12718318402767181, -0.18375347554683685, 0.9275064468383789, -0.39035364985466003, -0.5403377413749695, 0.5279327034950256, 1.0217437744140625, 0.3787645995616913, 0.48983660340309143, 0.666405975818634, -0.8345419764518738, -0.2258385419845581, -1.1148728132247925, -0.5533620119094849, -0.7625520825386047, -1.0290933847427368, 0.30669495463371277, 1.2304339408874512, -0.42118486762046814, -1.1512713432312012, -0.01943597011268139, -1.0109150409698486, -0.7051903605461121, 0.3434242308139801, 0.2599887549877167, 0.7319355607032776, 0.6486428380012512, -0.5504706501960754, 0.35730960965156555, 0.2709372341632843, -1.7957632541656494, 0.6443410515785217, 0.2478380799293518, 0.4096131920814514, -0.5976060032844543, -0.4172836244106293, -0.026975754648447037, 0.3424311578273773, -1.5796583890914917, -0.43128305673599243, -1.2879722118377686, 0.09016551077365875, -0.9744043946266174, 0.08875694870948792, 0.11068214476108551, 0.8293607831001282, -1.0924161672592163, 0.18240979313850403, 0.021057236939668655, -0.26200219988822937, -0.9225766062736511, -1.2808729410171509, 0.6676705479621887, 0.19086946547031403, 0.9808116555213928, -0.4621537923812866, 0.688507080078125, -0.9737064242362976, -1.371108055114746, 1.3776060342788696, -0.47084158658981323, 1.04653799533844, 0.9881154894828796, 1.3484265804290771, 0.9729201197624207, -1.3755921125411987, -0.7426396608352661, 0.29241833090782166, 0.029163837432861328, -0.703924834728241, -0.2542697489261627, 1.4798988103866577, 0.5456573367118835, 0.6574963927268982, 0.03395848721265793, 0.40873661637306213, 0.33839187026023865, -1.0646370649337769, -0.015312707982957363, 1.4537802934646606, -0.2559499740600586, -0.18454304337501526, -0.21078398823738098, 0.04752091318368912, -1.0732293128967285, -0.4563566744327545, 0.527671754360199, 0.2799311876296997, 1.0680004358291626, -0.8128602504730225, -0.9407448768615723, 0.11203639954328537, -0.2667160630226135, -0.28215476870536804, -1.4384968280792236, 0.0451708547770977, 1.070932149887085, 0.4196436405181885, 0.6931406259536743, 1.1694440841674805, -1.2616740465164185, 0.9267491698265076, -1.2596087455749512, -0.4671788215637207, -0.3480333089828491, 0.6160324215888977, 0.6519156098365784, -0.09720870107412338, 0.04399561882019043, -0.7974900603294373, 0.10447882115840912, 0.6599696278572083, -1.3016318082809448, -0.35257846117019653, -0.36392027139663696, 0.15150941908359528, 0.8826252222061157, -0.1526668816804886, -0.9372894167900085, -0.6718745827674866, -0.4163357615470886, -0.9749284386634827, 1.564077615737915, -0.10820238292217255, 0.9526076912879944, 0.4978199303150177, -1.29499351978302, 0.4051052927970886, 1.0626641511917114, 0.09214732050895691, -0.37607288360595703, -0.6600907444953918, -0.7040080428123474, 0.0849345475435257, 0.19880905747413635, -0.10520216077566147, 0.2534286081790924, -1.0959372520446777, 0.9204960465431213, 0.2485986202955246, 0.10618840903043747, 0.2864910960197449, -0.8043621182441711, -1.5332260131835938, -0.07911970466375351, 0.40708860754966736, -0.6608669757843018, -0.7087608575820923, -0.26291510462760925, -0.48711514472961426, -0.8487451672554016, -0.02825712412595749, -0.07655325531959534, 1.2449151277542114, 0.2653692662715912, -0.9028561115264893, -0.5955545902252197, -0.4399259686470032, 0.43225303292274475, 1.0578635931015015, 0.3711491823196411, -0.45420050621032715, -0.25321125984191895, -0.1270211935043335, 0.24080389738082886, -1.0257254838943481, -1.8985929489135742, -0.6660850644111633, -0.1441100388765335, 0.5010786652565002, -0.6281872987747192, 0.8761230707168579, -0.9253893494606018, 0.34247955679893494, 1.1933377981185913, -0.4135943055152893, -0.056311868131160736, 0.7530648708343506, -0.7729604840278625, 0.09099267423152924, -0.6762825846672058, -0.39174625277519226, -0.6865583062171936, -0.29190632700920105, 0.15477821230888367, 0.7198688983917236, 0.4652131199836731, 0.27464061975479126, 0.6932109594345093, -0.3127928078174591, 0.9933355450630188, 0.25389474630355835, -0.5431891679763794, -0.37618181109428406, 0.12743163108825684, -0.31829768419265747, 0.9041486978530884, -1.5891309976577759, 0.6264719367027283, 0.8351072669029236, 0.49901697039604187, 1.3050014972686768, 1.07406485080719, -0.3673992455005646, 1.2406796216964722, -0.0015380739932879806, 0.23090146481990814, 0.0001709940261207521, -1.3000465631484985, -0.8082773685455322, 0.2824587821960449, 0.4925011098384857, -0.8967123627662659, -0.19430193305015564, -0.00947415642440319, -0.9820938110351562, 0.8088161945343018, 0.715886652469635, 0.19548095762729645, 1.3265475034713745, 0.8893036842346191, -0.9528302550315857, 0.24408233165740967, 1.9847785234451294, -0.3105936348438263, 0.0406293049454689, -0.35198238492012024, 0.27025580406188965, -1.070791482925415, 0.048701394349336624, 0.4693806767463684, -0.40541306138038635, -0.030560461804270744, -1.0374534130096436, 0.22729207575321198, 0.27851685881614685, 0.7432765960693359, 0.8638109564781189, 0.25543275475502014, -0.9695708155632019, 0.8165422081947327, -1.0040470361709595, -1.0871453285217285, 1.022879719734192, -0.569622814655304, -0.18681378662586212, -0.06833145022392273, 0.23035140335559845, 0.038052815943956375, -0.38578352332115173, -0.5932496190071106, -0.24093498289585114, -0.22316451370716095, 0.830186665058136, -0.8275611996650696, -0.3432307541370392, 0.6847041249275208, -0.4512068033218384, -0.030669646337628365, -0.9145567417144775, -0.36568737030029297, -0.3393987715244293, 0.1685202568769455, 0.012648693285882473, 0.3018975853919983, -0.004427967593073845, 0.4700148403644562, 0.7683073282241821, 0.19386833906173706, 0.018826819956302643, -0.7486989498138428, 0.35629576444625854, 1.3540925979614258, 0.5736901164054871, -1.4529467821121216, -0.24509792029857635, -1.286440372467041, 0.941035270690918, -1.2160063982009888, 0.75482177734375, 0.7518771290779114, -0.7213588356971741, -0.43152445554733276, 0.2745821177959442, 0.23660244047641754, 1.1233384609222412, -0.723689615726471, -0.34870070219039917, 0.9449357390403748, -0.9556243419647217, -0.7050662040710449, -0.09988115727901459, 0.5321465730667114, 0.46419766545295715, -0.6429032683372498, 0.4615522027015686, 1.358615517616272, 0.27396360039711, -0.4073714017868042, -0.350239634513855, 0.11814018338918686, 1.0139877796173096, -0.45777443051338196, 0.4093380272388458, 1.4412922859191895, -0.1333872675895691, -0.45710593461990356, 1.116894245147705, -0.24855120480060577, -1.218449592590332, -0.5947827100753784, 0.41543805599212646, -0.2527660131454468, -1.090294361114502, -0.7614600658416748, -0.27045711874961853, 0.31159061193466187, -0.04278997704386711, -0.775217592716217, 0.37322163581848145, -0.5490452647209167, -0.6102257966995239, -0.6246798038482666, 0.4612773656845093, 0.2753777503967285, -0.3860287666320801, 0.687122106552124, 0.8897259831428528, -0.10113665461540222, -1.4802219867706299, 0.2185436636209488, 0.46947017312049866, 0.3942316472530365, 0.561811625957489, 0.5012454390525818, 1.442586898803711, -1.3402642011642456, 1.0625635385513306, 0.7015925049781799, 0.37068426609039307, -0.9096827507019043, -0.5251639485359192, -0.02529328502714634, 1.2264270782470703, -0.4043322503566742, 0.15607872605323792, 0.1491456925868988, 0.29227975010871887, -0.0641278326511383, -0.45768147706985474, 1.135156273841858, -0.4174651801586151, -0.863246738910675, 1.1730130910873413, -1.0389772653579712, -0.7649804353713989, -0.5675409436225891, 0.02116619609296322, -1.3672828674316406, 0.38259589672088623, -0.3961852490901947, 0.07706085592508316, -0.9258789420127869, 0.25148898363113403, 0.3084273636341095, 0.5711153745651245, 0.07443466782569885, -0.11474346369504929, -0.2588113844394684, 1.479387640953064, 0.12492082267999649, -1.3618042469024658, 0.4707905352115631, 0.6368806958198547, -1.3555331230163574, -0.26746323704719543, 1.0266209840774536, -0.8684860467910767, -0.995790421962738, 0.6030184626579285, 0.12169200927019119, -0.9643914103507996, 0.0716552734375, 0.8383751511573792, -0.3658173978328705, 0.2510596811771393, 0.47777223587036133, 0.22460995614528656, -0.8015572428703308, 0.11028610914945602, 0.4203563332557678, 0.04568125680088997, -0.8796638250350952, 0.5509644746780396, -0.24476975202560425, 0.26075461506843567, 2.033092975616455, -0.006015317514538765, -1.0196309089660645, -0.2848493158817291, -0.3264654576778412, 0.8262959718704224, -1.7088273763656616, 0.8248441815376282, -0.6441980600357056, 0.5971798300743103, 0.7252755165100098, -0.17231644690036774, 0.2663602828979492, 0.9008176326751709, -0.6622524857521057, 0.7948412895202637, -1.0550634860992432, -0.19832050800323486, -0.520455002784729, -1.5548688173294067, -1.4131677150726318, -0.7539511919021606, 0.40713509917259216, 0.43813958764076233, 0.9918468594551086, 0.6355985403060913, -0.10106818377971649, -0.25224733352661133, 0.11287926882505417, -1.1728215217590332, 0.318379670381546, -0.9770065546035767, 1.2566802501678467, -0.4064694046974182, 0.5510892868041992, 0.06303118914365768, 0.2139255851507187, -0.22166188061237335, 0.014370812103152275, 1.5452431440353394, 0.24722743034362793, 0.2447616308927536, 1.0923658609390259, 1.5229910612106323, 0.43881186842918396, -0.5432272553443909, -0.31947818398475647, -0.9393953084945679, 0.05846533924341202, 0.2808837592601776, -0.35161474347114563, 0.23827700316905975, 0.7054858207702637, -1.1936967372894287, -0.3436219096183777, 0.08975613117218018, 0.34477025270462036, -0.01029802206903696, 0.3825332522392273, -0.5824089050292969, -3.217916488647461, -1.2652711868286133, 0.7454997301101685, 0.23434622585773468, 0.6424384117126465, 0.3991774618625641, -1.5809321403503418, 0.2201612889766693, -0.7263755798339844, -1.1790820360183716, 0.9516724944114685, -0.8387148380279541, -0.5950196385383606, 0.07583117485046387, -0.06998983770608902, 0.19548296928405762, -0.38102516531944275, -0.6587139964103699, 0.195795476436615, 0.4851539134979248, 0.20439788699150085, -0.9186389446258545, 0.10235993564128876, 0.5013488531112671, -0.0778486505150795, 0.2650640606880188, -0.7548060417175293, -0.6810606122016907, -0.17194804549217224, 0.17104394733905792, -0.4700455963611603, 0.011174115352332592, -0.2169497013092041, -0.8757231831550598, -0.1532585173845291, -1.4482436180114746, -0.09004408121109009, 0.40919962525367737, -1.2477097511291504, -6.569812774658203, -0.09668026119470596, 0.33874717354774475, 0.07458293437957764, 1.4513490200042725, -1.2046818733215332, -0.5366767644882202, 0.38653379678726196, 1.1844267845153809, 0.46552756428718567, 1.476638913154602, 0.04309992492198944, -0.44560015201568604, 0.1410854309797287, -0.6269913911819458, 0.043522704392671585, 1.2760987281799316, -1.4343538284301758, -0.4138215184211731, 0.3415709435939789, -0.3262638747692108, -1.889269232749939, -0.415262371301651, 0.8233277797698975, 0.47656315565109253, 0.08897260576486588, -0.0008925144793465734, -0.9599276781082153, -0.33784762024879456, -0.5151497721672058, -1.1912879943847656, 1.0685003995895386, 0.39693084359169006, 0.4777555763721466, -0.018761906772851944, 0.15860989689826965, 0.2766437828540802, -1.234623670578003, -0.2916982173919678, -0.46327832341194153, 0.11508805304765701, -1.1497993469238281, -0.49185359477996826, 0.5111084580421448, -0.4727274477481842, 2.038025140762329, -0.3934544622898102, -0.33205050230026245, 0.907692551612854, -0.7049030065536499, -0.22681041061878204, -0.6439948081970215, -0.6909629702568054, -0.04745040461421013, -0.17845846712589264, -0.030904484912753105, -0.5459638237953186, -0.03244614973664284, 0.30041566491127014, 0.23632700741291046, -1.3952161073684692, 0.3446213901042938, 0.30298665165901184, -0.6948807239532471, -0.5975875854492188, 1.2796612977981567, 0.4450112283229828, -0.5338356494903564, -0.7350574135780334, 0.12045451253652573, -0.9435464143753052, -0.6805126667022705, -0.45792773365974426, -0.05483053997159004, -0.09825324267148972, -0.03565065935254097, 0.7791761159896851, 0.18320512771606445, -0.40078306198120117, 1.6399669647216797, 0.2276235967874527, 0.53098064661026, -0.5211818814277649, 0.7833979725837708, -1.0447463989257812, 0.11342571675777435, -0.5800018310546875, 0.0555550791323185, 0.5462855696678162, 0.28464755415916443, -0.11877484619617462, -1.3849098682403564, 0.5421744585037231, -0.4833875000476837, 0.48993611335754395, 0.10201027244329453, -1.2381833791732788, -0.5659773349761963, 0.01596451736986637, 0.6880474090576172, -1.1713783740997314, -0.5508828163146973, 0.3342365622520447, 0.41594991087913513, 1.0780479907989502, 0.31517812609672546, -1.4849499464035034, 0.5210805535316467, 1.2312185764312744, -0.06548339873552322, -0.7081106901168823, 1.3839267492294312, 1.376342535018921, -0.10293947160243988, 1.3479939699172974, 1.0887796878814697, -0.6468719244003296, 1.0498836040496826, -0.30117958784103394, -0.554158627986908, 0.5818706154823303, 0.9631881713867188, 0.42045530676841736, 0.20364458858966827, -0.35128524899482727, -1.0653226375579834, -0.46603071689605713, -0.39313796162605286, 0.4544037878513336, -1.9876350164413452, -1.853100061416626, -0.43885451555252075, -0.8986713886260986, 0.4731919765472412, 0.24136404693126678, 0.09620023518800735, 0.7827701568603516, -0.7273169755935669, 0.11375537514686584, 0.6032330989837646, -0.7477626800537109, -0.14692391455173492, 0.47634950280189514, -0.15456321835517883, 0.9555966854095459, 0.04475841298699379, 0.8970443606376648, 0.431430459022522, -0.4837207496166229, -0.527053952217102, -0.35005542635917664, -0.032566651701927185, 1.5212031602859497, -0.20559170842170715, -0.9214572906494141, -0.5200620889663696, 0.24133339524269104, -1.4141228199005127, -0.7160285115242004, -0.8278951644897461, -0.6854698061943054, 0.09087447077035904, 0.25699853897094727, 1.0926306247711182, -0.0012220661155879498, 0.5306569337844849, 0.7092806696891785, 0.21166881918907166, -0.737717866897583, -0.5795072317123413, -0.5422781705856323, 1.073532223701477, 0.1161106750369072, -0.07526946812868118, -0.08609241992235184, -0.045275963842868805, -0.1732051521539688, -0.5048074722290039, -0.21852461993694305, 0.06178450956940651, -0.932500958442688, 0.44590434432029724, -0.26106029748916626, -1.3965715169906616, -0.3413722813129425, -0.018856359645724297, -0.8715960383415222, -0.14250651001930237, 0.04538349807262421, -0.6187336444854736, -0.1834113597869873, -0.9620770215988159, -1.9282162189483643, -0.12184805423021317, 0.6644219756126404, -0.5705695748329163, -0.3375377058982849, 0.29260095953941345, -0.20108714699745178, -0.42411190271377563, 0.8200590014457703, 1.7275530099868774, 0.9893893003463745, 0.12195737659931183, 0.20398591458797455, 0.5055707097053528, -1.2729923725128174, 0.34560534358024597, 0.42715686559677124, -0.3442589342594147, -0.21136300265789032, -0.6432628631591797 ]
124
0704.0126
Huan Yang
Huan Yang, Ying Jia, Lei Shan, Yingzi Zhang, Hai-Hu Wen, Chenggang Zhuang, Zikui Liu, Qi Li, Yi Cui, Xiaoxing Xi
I-V characteristics of the vortex state in MgB2 thin films
7 pages, 9 figures
Phys. Rev. B 76, 134513 (2007)
10.1103/PhysRevB.76.134513
null
cond-mat.supr-con
null
The current-voltage (I-V) characteristics of various MgB2 films have been studied at different magnetic fields parallel to c-axis. At fields \mu0H between 0 and 5T, vortex liquid-glass transitions were found in the I-V isotherms. Consistently, the I-V curves measured at different temperatures show a scaling behavior in the framework of quasi-two-dimension (quasi-2D) vortex glass theory. However, at \mu0 H >= 5T, a finite dissipation was observed down to the lowest temperature here, T=1.7K, and the I-V isotherms did not scale in terms of any known scaling law, of any dimensionality. We suggest that this may be caused by a mixture of \sigma band vortices and \pi band quasiparticles. Interestingly, the I-V curves at zero magnetic field can still be scaled according to the quasi-2D vortex glass formalism, indicating an equivalent effect of self-field due to persistent current and applied magnetic field.
[ { "created": "Mon, 2 Apr 2007 14:01:00 GMT", "version": "v1" }, { "created": "Tue, 30 Oct 2007 03:07:52 GMT", "version": "v2" } ]
2008-09-08
[ [ "Yang", "Huan", "" ], [ "Jia", "Ying", "" ], [ "Shan", "Lei", "" ], [ "Zhang", "Yingzi", "" ], [ "Wen", "Hai-Hu", "" ], [ "Zhuang", "Chenggang", "" ], [ "Liu", "Zikui", "" ], [ "Li", "Qi", "" ], [ "Cui", "Yi", "" ], [ "Xi", "Xiaoxing", "" ] ]
07
[ -0.05145061016082764, 0.9203810691833496, 1.4092859029769897, 0.29356881976127625, -0.5494885444641113, -0.2908783257007599, 0.5345523357391357, 0.4792175590991974, -0.2561860978603363, -0.9082365036010742, -0.26631081104278564, -0.5094830393791199, 0.1924189329147339, -0.2969633936882019, -0.5468283295631409, -0.46152547001838684, 1.284430980682373, -0.19795086979866028, 1.6276942491531372, 0.5717508792877197, 0.5432520508766174, -0.29871249198913574, 0.1531871110200882, -0.2873489260673523, -0.28666141629219055, -0.6914548277854919, -0.34145596623420715, -1.2623258829116821, 1.0296138525009155, 0.7476625442504883, 0.7313842177391052, 0.3568953573703766, 0.8083751201629639, 0.2640707194805145, 0.2989853620529175, 0.3757178485393524, -0.14279580116271973, -0.9139010906219482, -0.5673691034317017, -0.07484686374664307, -0.19962701201438904, -0.15766093134880066, -0.3300562798976898, 0.360658198595047, 0.5055032968521118, 0.3317527174949646, -1.0796136856079102, 0.2836078107357025, -0.2970021069049835, 0.3977832794189453, 0.5861079096794128, 0.8394902348518372, 0.6336736679077148, -0.052250951528549194, 0.32842299342155457, -0.32571280002593994, 0.2081751823425293, -0.01754455268383026, 0.5063777565956116, -0.5592117309570312, 0.5581077933311462, -0.19611112773418427, -0.5180913805961609, 0.44911321997642517, 0.22860147058963776, 0.1456429660320282, 0.35704511404037476, -1.196738839149475, 0.08598310500383377, 0.05061262473464012, -1.3473479747772217, 0.9832558035850525, 0.7094648480415344, -0.567729651927948, 0.1605425775051117, 0.747636616230011, -1.0251660346984863, -0.5927813053131104, 0.1859544813632965, -0.2065710872411728, -0.3693453371524811, 0.7426556348800659, 0.3130713999271393, -1.3178719282150269, 0.6995657682418823, 0.45736783742904663, 0.48618194460868835, 0.9662370681762695, 1.568414568901062, -0.28501182794570923, 0.9412326812744141, -1.966426134109497, 0.00010704789747251198, -0.8287012577056885, 1.1153484582901, -0.5205679535865784, -0.28340354561805725, -1.064666748046875, -0.42238882184028625, 0.4660891592502594, 0.5293577909469604, 0.7468604445457458, 0.42102447152137756, -0.8810582160949707, -1.6436570882797241, 0.8658505082130432, -1.1909853219985962, -0.2907550036907196, -0.0373414121568203, 0.6896880269050598, -0.0348808616399765, -1.4780597686767578, -0.042463336139917374, -0.966581404209137, -0.31125763058662415, -0.5128511190414429, -0.5754689574241638, 0.1378488540649414, 0.3716246783733368, -0.17352168262004852, -1.7016879320144653, 0.03731793910264969, -0.208566814661026, 0.2807469964027405, 1.192118525505066, 0.15487967431545258, -0.8348181247711182, -0.616244912147522, 0.988398551940918, 0.09135347604751587, 0.6560784578323364, -0.6058933734893799, 1.2720268964767456, 0.7706894874572754, -0.7121830582618713, 0.891647219657898, 0.5508882999420166, -0.8020009398460388, 0.6669366955757141, 0.778565526008606, -0.5475812554359436, -0.6294801831245422, -0.6022331118583679, -1.3760685920715332, -0.4778830111026764, -1.2047070264816284, -0.3840331733226776, -0.6667536497116089, -0.6902094483375549, 0.21717341244220734, 0.6634630560874939, -0.3080541491508484, 0.4685734510421753, 1.4456312656402588, 0.13927221298217773, 0.41551658511161804, 1.7088741064071655, 1.035298228263855, -0.052436720579862595, 1.1743779182434082, 0.005291814915835857, 0.6813628673553467, 0.05209958180785179, 0.32568544149398804, -0.05713685601949692, 0.1853889673948288, 0.21431460976600647, -0.7790921330451965, -0.998012363910675, 2.8905227184295654, -0.0431736558675766, 0.0014135887613520026, -1.5274786949157715, -0.593859076499939, -0.3201287090778351, 0.18892626464366913, 0.7502924799919128, -0.4752523601055145, -0.23742689192295074, 0.378059059381485, -0.1013089120388031, -1.0484777688980103, -0.010902592912316322, 0.4135383367538452, 0.4084796607494354, -1.1182242631912231, 0.20952755212783813, -0.9920889139175415, 0.5195509791374207, -0.5568892359733582, -1.5922795534133911, 0.6734198927879333, -0.5663573145866394, -0.824033796787262, 0.6510209441184998, 1.2127355337142944, 1.1851648092269897, 1.943210482597351, -0.3015662133693695, -0.29119133949279785, -0.8266187906265259, 0.7071976661682129, 0.15602754056453705, -0.10398141294717789, -1.2303828001022339, -0.516989529132843, 1.0309704542160034, 1.0119075775146484, 0.32650452852249146, -0.43774864077568054, 0.16678929328918457, 0.8777377009391785, -0.40034812688827515, 0.2259865403175354, 0.12888982892036438, -0.21148520708084106, 0.4938688278198242, 0.0217197947204113, -0.8909644484519958, 0.9952806234359741, -0.3657054007053375, 0.2642081379890442, 1.1114088296890259, 1.3622642755508423, -0.4459080398082733, -0.009684380143880844, -0.21750016510486603, -0.20332586765289307, -0.8763856291770935, -0.3820647597312927, 0.8214810490608215, -0.47587114572525024, -1.0024104118347168, -0.9421730041503906, -1.269848108291626, -0.30744123458862305, 0.6205074787139893, 0.26597142219543457, -0.22504618763923645, -0.8417136073112488, -0.16934651136398315, -0.05091768503189087, 0.748887300491333, -0.16517741978168488, 0.3010368347167969, -0.17355841398239136, 0.26144084334373474, -0.7354660630226135, 1.0017825365066528, -0.004980087745934725, -0.85175621509552, 0.3975854814052582, -0.18436649441719055, -0.3334072530269623, -0.27803659439086914, 0.6563937664031982, 0.03485604003071785, -0.6729696393013, 0.16216647624969482, -0.1965121030807495, 0.17491453886032104, -0.787883996963501, 1.854791283607483, -1.2367264032363892, -0.9529987573623657, -0.45654797554016113, 0.06072288006544113, 0.5847232341766357, 0.11152581125497818, 0.6111148595809937, -1.2414546012878418, -0.5595185160636902, 0.23679864406585693, 0.3000963628292084, 0.18527215719223022, -0.8199358582496643, -0.5879725217819214, -1.0424524545669556, 0.6135889291763306, 1.1839017868041992, 0.8523901104927063, -0.7662027478218079, 0.41895008087158203, -0.07052700966596603, 0.3790358006954193, 1.1923140287399292, 1.053385853767395, -0.9124493598937988, 0.48492562770843506, 0.5621610879898071, 0.04422794282436371, 0.05716941878199577, -0.5861696600914001, 0.06906643509864807, -0.8819503784179688, 0.10338161885738373, 0.010667789727449417, -0.639350414276123, 0.5063958764076233, -0.6403878927230835, -1.1225380897521973, 0.21807965636253357, -0.27048471570014954, 0.5636215209960938, 0.27005618810653687, -0.0899350643157959, -0.11055861413478851, -0.530247688293457, 0.15812787413597107, 0.4041929841041565, 0.3168807923793793, 1.2547169923782349, 1.8421951532363892, -1.103114128112793, 0.35547468066215515, -1.614422082901001, -0.23806096613407135, -0.6482364535331726, 0.23081636428833008, 0.31636765599250793, 0.10661919414997101, -0.1741068810224533, -0.15244720876216888, -0.8597604036331177, -0.538124144077301, -0.8252580165863037, -0.189731165766716, -0.5948684811592102, 0.337599515914917, -1.9607385396957397, -1.5009459257125854, 1.1562464237213135, -0.19374465942382812, 0.6084194183349609, 0.3521416485309601, 0.6017706990242004, -0.6499148607254028, -1.010322093963623, 1.111575722694397, -1.0380403995513916, -0.2686319351196289, 2.7145578861236572, -0.7879840731620789, -0.9370971322059631, 0.3585110604763031, -0.43805521726608276, -0.21420615911483765, 0.680885910987854, -0.4198700785636902, 0.537344753742218, -1.1024118661880493, -0.35292848944664, 0.6385864615440369, 0.31921863555908203, -0.5987482666969299, -0.3805012106895447, 0.09634855389595032, 1.4600954055786133, -0.3756744861602783, -0.9790065884590149, 0.6203398704528809, -1.3054072856903076, 1.0062278509140015, -0.36706018447875977, 0.35960620641708374, -1.62812077999115, 0.42443329095840454, 0.25481680035591125, -0.10198928415775299, -0.5440418720245361, -0.31853267550468445, 0.38035187125205994, 0.7384203672409058, -1.248501181602478, 0.043329015374183655, -0.8966090083122253, -0.8346154093742371, 0.18212364614009857, 0.1432764083147049, -0.20254535973072052, -0.24135255813598633, -1.2385063171386719, 0.15366750955581665, 0.3805740177631378, 0.018922973424196243, 0.05525302141904831, -0.5692892670631409, -0.3009802997112274, -1.1562724113464355, 0.8710248470306396, -0.5877866744995117, 0.42953014373779297, 0.40026599168777466, 0.33889636397361755, 0.13606591522693634, -0.10622761398553848, -0.8891994953155518, 0.3961176574230194, -0.5454160571098328, 1.5666013956069946, 1.1145684719085693, 0.4467177987098694, -0.2642548382282257, 1.1286110877990723, 0.052293889224529266, 0.36527323722839355, 0.6094626188278198, 1.7354100942611694, 0.07509013265371323, -0.8664605617523193, -1.3031501770019531, 0.1789931207895279, 0.28093719482421875, -0.08487211167812347, 0.5919941067695618, -0.20785024762153625, 0.27477946877479553, 0.35157182812690735, -0.11227165907621384, 0.7406155467033386, -0.11114944517612457, -0.14667998254299164, -1.1017053127288818, 0.000686757848598063, -0.49944910407066345, 0.1644836962223053, -0.12098842859268188, -0.3776998817920685, 1.0395638942718506, 0.3544304072856903, 1.1828749179840088, -0.7087675333023071, -0.7563855648040771, 0.8141754865646362, -0.07819168269634247, -0.7817525267601013, 0.7744768857955933, 0.1589031219482422, 0.04877063259482384, -0.5994678735733032, 1.1402785778045654, 0.046407438814640045, -1.3008928298950195, -0.06671302020549774, -0.02234991453588009, -0.717059850692749, -0.1417137086391449, 0.15071938931941986, -1.412384271621704, -0.19086778163909912, -0.6325750946998596, 1.1457607746124268, 0.153082937002182, -1.0740642547607422, -0.12987224757671356, 0.0869772881269455, 0.9769343733787537, 0.8107195496559143, -0.3158913254737854, -1.2687246799468994, 0.4023229479789734, 0.41067734360694885, -1.178230881690979, 0.32240208983421326, -0.12246565520763397, -0.05017969012260437, -0.290759414434433, 0.15041190385818481, 0.7886066436767578, -0.7633460760116577, -0.1976206749677658, 0.9341458678245544, 0.7960596680641174, 0.40138790011405945, 0.014026138000190258, -0.6581839323043823, 0.9448248744010925, -1.1820060014724731, -0.05230046436190605, 0.23121041059494019, -0.5694284439086914, -0.8947476744651794, 0.46456843614578247, -1.3199386596679688, -0.5918898582458496, 0.8365166187286377, 0.04806327074766159, 0.2535320818424225, -0.08135351538658142, -0.1957172304391861, 0.7650523781776428, -0.7681577801704407, -1.0304996967315674, 0.22546689212322235, 0.06679610908031464, 0.07258197665214539, 0.8723703622817993, 1.354689121246338, 0.6398825645446777, -1.144992709159851, 0.5151888728141785, -1.3407247066497803, 1.273133635520935, 0.23085454106330872, 0.26311445236206055, 0.2939341366291046, -1.6499040126800537, -0.43014347553253174, 0.1002286747097969, -0.044536106288433075, 0.08984042704105377, -0.6864949464797974, 1.9005157947540283, 0.6440958976745605, -0.18693964183330536, -0.5871304273605347, -1.5138922929763794, -2.5769522190093994, -0.33748859167099, -1.9318828582763672, -1.7472641468048096, 0.40912309288978577, -0.1592857986688614, -0.37368303537368774, 0.5043378472328186, 0.9220887422561646, 0.3262636959552765, -1.82459557056427, 0.40862998366355896, 1.4649099111557007, -0.40173715353012085, 0.1711709201335907, -0.41756561398506165, -0.07319939136505127, 0.1915053129196167, 0.05741449072957039, 0.47425875067710876, -0.19796600937843323, -0.7059034705162048, 0.7542113065719604, -0.6887078881263733, -0.49250856041908264, -0.144448921084404, -0.13273997604846954, 0.949296772480011, -0.15368710458278656, 0.5762014985084534, -0.12610508501529694, 0.3987642526626587, 0.4078703820705414, -0.2618180811405182, -0.41382110118865967, -0.8784132599830627, 0.7357322573661804, 0.31882694363594055, 0.06940356642007828, -5.888129711151123, -0.32516515254974365, -0.37858620285987854, -1.479838252067566, 0.7895974516868591, -0.5492892265319824, -0.780797004699707, -0.48018187284469604, 0.6452571153640747, -0.1330912560224533, 1.1301823854446411, -0.16559098660945892, -0.08033137768507004, 0.5971160531044006, 0.6474864482879639, -0.6353224515914917, 0.5161916017532349, 0.6231284141540527, -0.6890010833740234, 0.614508330821991, -0.9222407937049866, 0.2331717610359192, 0.03813713416457176, 0.10270307958126068, -1.441311240196228, 0.6413742899894714, -0.4291342496871948, -1.5930583477020264, 0.7142415642738342, 0.09337816387414932, -0.002090966096147895, -0.2093670666217804, -1.1043922901153564, 0.5575935244560242, -0.23448807001113892, -0.7396522164344788, 0.24632658064365387, 1.29874587059021, -0.6992970108985901, -1.3095396757125854, 1.2646901607513428, 0.30039119720458984, 0.8060510754585266, -0.6626116633415222, -1.3385841846466064, 0.0904642641544342, -0.7238169312477112, -0.8609533309936523, -1.1760897636413574, -0.19618862867355347, -2.124476909637451, -0.29491159319877625, -0.17203333973884583, -0.4667809307575226, -0.718276858329773, 1.6798540353775024, -0.6837134957313538, 0.22495104372501373, -0.4478777050971985, -0.09452877193689346, -0.09513681381940842, 0.6275132894515991, -0.14341947436332703, 0.7729742527008057, 0.820766031742096, -0.4234415292739868, -1.504174828529358, 0.02463918924331665, 0.10887042433023453, -0.6163487434387207, 0.2819172739982605, -1.494413137435913, 1.9469672441482544, -0.07985550910234451, 0.162246435880661, 0.2471165508031845, 0.8271588087081909, 1.1618107557296753, -1.0122841596603394, 1.09315025806427, 1.2465441226959229, -1.6591559648513794, -0.6971959471702576, 0.10364595055580139, -0.3386861979961395, -0.46972185373306274, -0.011760955676436424, 0.44936254620552063, -1.3967639207839966, -1.595274806022644, 0.17890571057796478, 1.069632887840271, -0.10029497742652893, 0.5449604392051697, -0.27232298254966736, -0.4688536524772644, -0.6085770726203918, -0.24816051125526428, -0.5704795122146606, 0.2721886932849884, -0.39440739154815674, -0.5759962201118469, -0.6500840783119202, 1.4266586303710938, 0.7684290409088135, 0.19754785299301147, 1.1178022623062134, -1.3679581880569458, 0.5209420919418335, 0.7055822610855103, 0.007264279760420322, -0.3474551737308502, -0.3828054964542389, -0.721402108669281, 0.6200056672096252, -0.8268229365348816, 0.14439406991004944, 1.3244836330413818, -1.348175048828125, -0.7506220936775208, -1.2220344543457031, 0.024946680292487144, 0.7489938735961914, -0.4078703820705414, -0.04919249936938286, 0.6447435617446899, -0.03108181618154049, -0.023443354293704033, 0.8902856111526489, -0.16026344895362854, 0.6083688139915466, -1.6343038082122803, 0.5343818664550781, 1.4095665216445923, -0.37209010124206543, 1.1202024221420288, 0.777276337146759, -0.5681266188621521, -1.0222256183624268, 0.24859769642353058, -1.4044387340545654, 0.6111853122711182, 1.1562014818191528, -0.2077835202217102, 0.13603241741657257, -0.09300653636455536, 0.23684543371200562, -0.617709219455719, 0.08199990540742874, -0.30718106031417847, 0.36772745847702026, -0.02896561101078987, 0.7825605273246765, -0.2726985812187195, 0.136935293674469, 0.013523860834538937, -1.0082975625991821, 0.3800051212310791, -0.45149701833724976, -0.8116194605827332, -1.2934736013412476, 1.1777971982955933, -1.7294886112213135, 0.42900189757347107, -0.1883246749639511, -0.07077294588088989, 0.059533361345529556, -0.042286038398742676, 0.6580925583839417, -0.23293007910251617, -0.6713869571685791, -0.4939548373222351, -0.1366906315088272, -0.3878074884414673, -0.8916717171669006, -0.527326226234436, 0.16383786499500275, -0.7841949462890625, -0.45051687955856323, 0.2209678292274475, 0.5527921319007874, 0.1585964560508728, -0.15600700676441193, 0.9639241695404053, -0.5178713798522949, 1.3380770683288574, 0.17531000077724457, -0.2849881947040558, -1.6475168466567993, 0.3796526789665222, -0.16686128079891205, -0.9873165488243103, -1.54741370677948, 1.0345652103424072, -0.6195811629295349, -1.1092103719711304, -0.28587332367897034, 0.003426123410463333, -1.1431938409805298, -0.6106531023979187, 0.15344198048114777, 1.9406708478927612, -0.9851108193397522, -0.2718302607536316, -0.040706854313611984, 0.07592953741550446, 0.5048158764839172, 0.14466632902622223, -0.5458728671073914, 0.08495206385850906, 0.6292142868041992, -0.6675083637237549 ]
125
0704.0127
Kai Liu
Randy K. Dumas, Chang-Peng Li, Igor V. Roshchin, Ivan K. Schuller and Kai Liu
Magnetic Fingerprints of sub-100 nm Fe Nanodots
19 pages, 4 figures, to appear in PRB
Phys. Rev. B 75, 134405 (2007).
10.1103/PhysRevB.75.134405
null
cond-mat.mtrl-sci
null
Sub-100 nm nanomagnets not only are technologically important, but also exhibit complex magnetization reversal behaviors as their dimensions are comparable to typical magnetic domain wall widths. Here we capture magnetic "fingerprints" of 1 billion Fe nanodots as they undergo a single domain to vortex state transition, using a first-order reversal curve (FORC) method. As the nanodot size increases from 52 nm to 67 nm, the FORC diagrams reveal striking differences, despite only subtle changes in their major hysteresis loops. The 52 nm nanodots exhibit single domain behavior and the coercivity distribution extracted from the FORC distribution agrees well with a calculation based on the measured nanodot size distribution. The 58 and 67 nm nanodots exhibit vortex states, where the nucleation and annihilation of the vortices are manifested as butterfly-like features in the FORC distribution and confirmed by micromagnetic simulations. Furthermore, the FORC method gives quantitative measures of the magnetic phase fractions, and vortex nucleation and annihilation fields.
[ { "created": "Mon, 2 Apr 2007 06:14:30 GMT", "version": "v1" } ]
2007-05-23
[ [ "Dumas", "Randy K.", "" ], [ "Li", "Chang-Peng", "" ], [ "Roshchin", "Igor V.", "" ], [ "Schuller", "Ivan K.", "" ], [ "Liu", "Kai", "" ] ]
07
[ 0.4861871302127838, -0.6346450448036194, -0.09912464022636414, 1.0998417139053345, -0.25252455472946167, 0.3863919973373413, 0.27925848960876465, 0.6202104091644287, -0.2911485731601715, -0.6607959866523743, -0.9924014210700989, 0.2536393404006958, 0.41135355830192566, 0.0860537588596344, -0.8949470520019531, 0.07988368719816208, -0.5910787582397461, -1.0431993007659912, -0.2815861701965332, 1.3430814743041992, -0.2762632668018341, -0.8861501812934875, -0.19284237921237946, -0.3179769515991211, 0.022977687418460846, 0.6023588180541992, -0.38168302178382874, 0.46357154846191406, -1.0184465646743774, 0.5031073689460754, 0.46615302562713623, 0.23085562884807587, -0.17938187718391418, -0.42577996850013733, 0.25633737444877625, -0.36983534693717957, -0.6347756385803223, 0.0885990709066391, -1.3756282329559326, 0.7577089071273804, 0.482774019241333, 0.37777769565582275, -0.5842984914779663, 0.5962185263633728, -0.17994941771030426, 0.6152507662773132, -0.4579789340496063, -0.04285341501235962, 0.48095831274986267, 0.08756913989782333, 0.1752951592206955, 1.146672248840332, -0.745082676410675, -0.32021966576576233, 0.9782654047012329, 0.5168474912643433, 0.2502845823764801, 0.6789745688438416, 1.4467062950134277, -1.2960976362228394, 0.6467396020889282, -0.1396132856607437, -0.12677323818206787, 0.9490614533424377, 0.11328423023223877, -0.03821771219372749, 0.7204610109329224, -0.8229397535324097, -0.1579056829214096, 0.06379462778568268, -1.0410908460617065, -0.4284578561782837, 0.5700639486312866, 1.1831010580062866, 0.76289302110672, -0.25216445326805115, 0.2559475004673004, 0.35879337787628174, -0.31780359148979187, 0.06332457810640335, 0.17563830316066742, 1.046303153038025, -0.17120981216430664, -1.924500584602356, 0.9989411234855652, 0.6040107011795044, 0.27528613805770874, 0.20714977383613586, -0.14417201280593872, -0.4039005637168884, 0.6481063365936279, -0.6693687438964844, -0.7376334071159363, -0.789944589138031, 0.6674638986587524, -0.36114561557769775, -1.1833248138427734, -1.417693853378296, 0.1321406215429306, 1.6005433797836304, -0.13142052292823792, 1.1727650165557861, -0.9971959590911865, 0.400544673204422, -0.08071127533912659, 0.7655356526374817, -0.4287508726119995, -0.3195187449455261, -0.7340385317802429, 0.3547597825527191, -0.17995356023311615, -0.37050768733024597, 1.2215644121170044, -0.5137109160423279, -0.5364163517951965, -0.48482003808021545, -0.16807667911052704, -1.046308994293213, 0.2895013093948364, 0.48278331756591797, -1.114464282989502, -0.42756402492523193, -0.867874264717102, -0.2722322642803192, 0.591420590877533, 0.06472630798816681, -0.6222347617149353, -0.9351819157600403, 1.0095670223236084, -1.2274760007858276, -1.4839760065078735, -0.39034396409988403, 0.8571962714195251, -1.281958818435669, -0.8105741739273071, 0.5728288888931274, -1.5362215042114258, -0.5335988998413086, -0.18830148875713348, -0.965819239616394, -0.43189406394958496, 0.6174992918968201, -0.6027622818946838, 0.19070042669773102, -0.2867259383201599, -0.7403857707977295, -0.2683999240398407, 0.35677602887153625, -0.17397671937942505, -0.4998122751712799, -0.33554452657699585, 0.1474163979291916, 0.6203087568283081, 1.1203935146331787, 1.1368499994277954, -0.07250913232564926, 0.3423340320587158, -0.41460078954696655, -0.710465669631958, 0.3356485366821289, 0.7369009852409363, 2.236544609069824, -0.2460770606994629, -1.1075762510299683, 0.14891037344932556, 0.7380465865135193, -0.48346492648124695, 0.27954551577568054, 0.6998134255409241, 1.1918443441390991, -0.9287124276161194, -0.8183590769767761, -0.04707429185509682, 0.24084177613258362, 1.0953131914138794, 0.03379237651824951, 1.359724760055542, -0.3537832200527191, -1.197275996208191, 1.7357991933822632, -0.12317049503326416, -0.9502474665641785, -2.0528666973114014, -0.3404245972633362, -0.008367466740310192, -0.7312372326850891, 0.004254731349647045, -0.018648279830813408, -0.2167011797428131, -0.38864395022392273, -0.09818675369024277, 0.5974668264389038, -1.641594409942627, -1.4776825904846191, -0.7980986833572388, 0.8231723308563232, -0.5704240202903748, 2.517848014831543, -0.19542957842350006, -1.3732646703720093, -0.17336927354335785, 1.0141520500183105, -0.2405196726322174, -0.47943446040153503, -0.41296136379241943, -0.17694096267223358, -0.37036195397377014, 0.7349604368209839, -0.2969784736633301, -0.05877812206745148, 0.7441383004188538, 0.8982369303703308, -0.3757372498512268, -0.15488597750663757, 0.1284198760986328, -0.6593970060348511, 0.7591318488121033, 0.6617780923843384, -0.5859549641609192, 0.1700957864522934, -0.5741937160491943, 1.0018223524093628, -0.3331899642944336, 0.22694817185401917, 0.13674111664295197, -0.4687756896018982, -0.17943237721920013, 0.030689653009176254, -0.05377546697854996, -1.8757946491241455, -0.7540816068649292, -0.585965633392334, 0.6993315815925598, -1.011305332183838, -0.2383790910243988, -1.1246025562286377, -0.2287966012954712, -0.5165247917175293, -0.5508590936660767, -0.4404766857624054, -1.0826635360717773, 1.6504961252212524, 1.0754003524780273, 0.3807942271232605, -0.21841900050640106, 0.37896019220352173, 0.7349488735198975, 0.26193082332611084, 1.6310234069824219, 0.03249247744679451, 0.31289032101631165, -0.42479920387268066, -0.578542947769165, -0.519148588180542, 0.27904173731803894, 0.4488316774368286, 0.2897498905658722, -0.8700098991394043, -0.36553075909614563, 0.31422844529151917, 0.01954042725265026, -0.8439317345619202, 0.7357103824615479, -0.7301609516143799, -0.8276900053024292, 0.8116639256477356, -0.35962021350860596, 0.22905300557613373, -0.0030498839914798737, 0.9288424849510193, 0.7837234139442444, -0.07509664446115494, -1.78263521194458, 0.5967193841934204, 0.0974893644452095, 0.10027168691158295, -0.2493518888950348, -0.19910754263401031, -0.4241207242012024, 0.5370921492576599, -0.5043121576309204, -1.2370609045028687, 0.033869609236717224, 0.010236332193017006, -0.3354603052139282, 0.21516188979148865, -0.705823540687561, -0.913799524307251, -0.011387255042791367, -0.7351003885269165, -0.49817174673080444, 1.114533543586731, -1.5133410692214966, -0.9178764820098877, -0.43303975462913513, -0.532524585723877, -0.3019798994064331, 0.05430925637483597, -0.5914387106895447, 0.19880741834640503, 1.1223766803741455, -0.30193108320236206, 0.3721352517604828, 1.541943907737732, 0.6402612924575806, -0.15134449303150177, -0.6850695610046387, -0.5818873643875122, 0.6522714495658875, -0.5875762104988098, 0.37755489349365234, 1.9202669858932495, 0.8613536357879639, -1.395918607711792, 0.5445120930671692, 0.049269549548625946, 0.1800091713666916, -0.4837343394756317, 0.2025306224822998, 0.0009201680077239871, 0.27523958683013916, -0.7908098101615906, 0.9014003276824951, -0.4568415582180023, -0.5022430419921875, 0.5928879976272583, 0.18976940214633942, 0.1519768387079239, 0.15244916081428528, -0.39784732460975647, -1.3724912405014038, 0.6581968069076538, -0.8087815046310425, -0.8232278227806091, -0.3752104938030243, -0.5078600645065308, 0.13467073440551758, -0.522161066532135, 0.44868406653404236, -0.37521132826805115, 0.7700827121734619, 2.602588415145874, 1.685516119003296, 0.6225007176399231, -0.8416335582733154, -0.6656695604324341, 0.42100828886032104, 1.0884066820144653, -0.7361803650856018, 0.2055000364780426, -0.4263400733470917, 0.4825993478298187, 1.0206594467163086, -0.4588998556137085, -0.9485540390014648, -0.05573572218418121, 0.5784381628036499, 0.9338575005531311, -0.3372480571269989, 0.9805644154548645, 1.3427321910858154, 0.22866958379745483, 0.6699514985084534, -0.3982912003993988, 0.3848332464694977, -1.1691759824752808, -0.26851192116737366, -0.651980459690094, -0.29060494899749756, -0.5410606265068054, 1.0851858854293823, 0.29362624883651733, 0.35100317001342773, -0.4656906723976135, -0.6150436401367188, 1.0578968524932861, -0.49973395466804504, 0.8755346536636353, 0.5585763454437256, -0.3728749454021454, 0.2744547128677368, -0.6820738315582275, 1.211910605430603, -0.4339383542537689, 0.9876192212104797, 0.2602921426296234, -0.4905068874359131, -1.043308138847351, -0.8704714179039001, 0.10001830756664276, -0.9878230690956116, 1.3216679096221924, 0.7699663043022156, -0.6436753869056702, 0.42469844222068787, -0.03886399418115616, -1.0793286561965942, 1.0741899013519287, -1.508753776550293, -0.4378315806388855, 0.45034343004226685, 0.28744545578956604, -0.7069798707962036, 1.6303359270095825, -1.94326913356781, 0.05193484574556351, 0.6142503619194031, -0.20915374159812927, -0.3110904395580292, 0.7918173670768738, -2.063483238220215, -1.3666155338287354, 1.3755145072937012, -0.512782096862793, 0.5468318462371826, -0.17961861193180084, -0.41583845019340515, -0.8392569422721863, -0.18072454631328583, 0.7611314058303833, -0.553512454032898, -0.10693368315696716, -0.9158548712730408, 0.6212275624275208, 0.5880521535873413, 0.9480882287025452, -0.4727981388568878, -0.021817585453391075, -0.26744550466537476, 0.3001845180988312, 1.0017372369766235, -0.9164698123931885, -1.604629635810852, 0.07899139076471329, -0.404217004776001, -0.920810878276825, -0.5165054798126221, -0.1420406997203827, -0.055438026785850525, 0.06459718197584152, -0.6709036231040955, 0.6561177968978882, -1.5347652435302734, -0.7551276087760925, -0.013399290852248669, -0.9125774502754211, -0.7448782324790955, 1.33289635181427, -0.6994584202766418, -0.09614146500825882, -0.7827439904212952, 0.42513251304626465, 0.07260217517614365, 1.8787400722503662, -0.39157581329345703, -0.47249796986579895, -0.4319441318511963, 1.3791258335113525, -0.36523738503456116, -0.9239760041236877, -0.12996642291545868, -0.4931221902370453, -0.08137562870979309, -0.7785937786102295, 0.6056113839149475, 0.018541190773248672, 0.25933584570884705, -0.5806671977043152, 1.5826157331466675, 0.10341630131006241, 1.5522123575210571, 0.28460362553596497, -0.5727065801620483, 0.3459708094596863, -0.37496501207351685, 0.3639105260372162, 0.30146878957748413, 1.0467157363891602, 0.8108788728713989, -0.025461800396442413, -0.22460098564624786, -1.2147101163864136, 1.2931956052780151, -0.47272446751594543, 0.5800279974937439, -0.5202984809875488, -0.7945066690444946, -0.3184237480163574, -0.13876153528690338, 0.8793277740478516, 0.3531832993030548, -0.5385379791259766, -0.26773104071617126, 0.435417115688324, 0.6411115527153015, -0.24544242024421692, 0.7144914865493774, -0.25258949398994446, 0.7205759882926941, -0.2906520664691925, -0.29911214113235474, -1.5144765377044678, 0.35126808285713196, 0.9316741824150085, 0.6061906218528748, -0.3031142055988312, -1.0475841760635376, 0.5123063325881958, -0.3145001530647278, 0.7905368804931641, 0.3900717794895172, -0.46740299463272095, -1.1354577541351318, 0.3969455659389496, -0.6545775532722473, -1.159445881843567, -0.8976991772651672, -3.4310786724090576, -1.5732636451721191, 0.019185269251465797, -0.07676920294761658, -0.17626254260540009, -0.5644658207893372, 1.0617755651474, -0.39962974190711975, 0.43746069073677063, 0.14564993977546692, -0.7342842221260071, 0.538821816444397, 0.6389526724815369, 0.12784820795059204, 0.2542981505393982, -1.0622079372406006, -0.435350626707077, -0.13826163113117218, -0.6656454205513, -1.2098175287246704, -0.8029174208641052, 0.10470084846019745, 0.5385897755622864, -0.35461312532424927, -0.09036406129598618, -0.11830313503742218, -1.0727273225784302, -0.29808124899864197, 0.7626790404319763, -0.2681155502796173, 0.7333365082740784, -0.11067613959312439, 0.6354957222938538, -0.7370631694793701, -0.26070696115493774, 0.343143492937088, -0.24085982143878937, 0.5788449048995972, 0.2321447879076004, -7.120741367340088, 0.0068642450496554375, -0.2780899405479431, -0.042299482971429825, 0.04023926705121994, -0.0806242898106575, -0.2592081129550934, -0.35587143898010254, -0.5781031847000122, -0.01585507020354271, 1.9755734205245972, 0.48531055450439453, -0.1601758897304535, -0.14071117341518402, 0.5477724671363831, 0.22059710323810577, 0.4912738800048828, 0.5713390707969666, -0.7320676445960999, -0.5134080648422241, -0.06919899582862854, -2.019977569580078, 0.08863098174333572, -0.26498568058013916, 0.1337796300649643, 0.5995699763298035, -0.7150998711585999, -0.775595486164093, -0.6776590347290039, -0.0579800009727478, -0.05606536194682121, -0.988370418548584, 0.8962484002113342, 0.7670528888702393, 0.12706097960472107, 0.26001426577568054, 0.7825450301170349, 1.2202457189559937, -0.4130111038684845, -0.54844731092453, 1.710123896598816, 0.15877078473567963, -0.6738492846488953, -0.9683855175971985, 0.13864290714263916, 0.7413249015808105, -0.8512004613876343, -0.3929329514503479, -0.02456313744187355, -0.4114283323287964, -0.9193511605262756, 1.3847590684890747, 0.7685796618461609, 0.5832042694091797, -1.463743805885315, 0.5901063084602356, -0.6938188076019287, 0.2974444627761841, -0.5082301497459412, -0.6243488192558289, -0.6163970828056335, 0.2380710393190384, 0.3730488717556, -0.48082154989242554, 0.5120461583137512, 0.2798433005809784, 0.11969264596700668, 0.9670577049255371, -0.40948352217674255, 0.6069125533103943, 0.06910844147205353, -2.0359277725219727, 0.8383303880691528, 0.5964133143424988, -0.24842597544193268, -0.33455944061279297, 0.20962905883789062, 1.1338882446289062, 0.38056647777557373, -0.3376486003398895, 0.7698664665222168, -1.1781229972839355, -0.8157607316970825, -0.44293543696403503, -1.1032294034957886, 0.3292306363582611, -0.6631753444671631, 0.0677623376250267, -0.2738715708255768, -0.14517347514629364, 0.45312798023223877, 0.9917203783988953, -0.25324755907058716, 0.8074488043785095, 0.47200945019721985, -1.02354896068573, 1.1755075454711914, -1.2893872261047363, 0.37416744232177734, 0.23904210329055786, 0.08458427339792252, -0.8106637597084045, -1.0523381233215332, 0.5902497172355652, 0.18217061460018158, 0.3914566934108734, -1.002919316291809, 1.1577444076538086, -0.025263816118240356, -0.1847153902053833, 1.26662278175354, 1.3717008829116821, -0.4759218990802765, 0.33507630228996277, 1.378210186958313, 0.22559179365634918, 0.006227579433470964, 1.608458161354065, -0.5287938117980957, 0.17853443324565887, -0.8610252141952515, -0.6580135822296143, -0.44130685925483704, 0.9984148740768433, 0.1848699152469635, -0.2560042142868042, 1.0593615770339966, -0.7781420946121216, -0.673477828502655, 0.357388436794281, 1.0973591804504395, 0.9090306758880615, -0.4633266031742096, 0.3228603005409241, -0.14039039611816406, -1.0334564447402954, 0.3041594922542572, -0.4404149055480957, 0.8359677195549011, -0.4806918501853943, 0.3971083462238312, 0.30628353357315063, -0.544479250907898, -0.42751988768577576, -0.6375702619552612, -0.0784962996840477, 0.1721828579902649, 0.7999529838562012, -0.9138376712799072, -0.06374704092741013, 0.6105554699897766, -0.25219863653182983, -0.07900729030370712, 0.8868578672409058, 1.0120527744293213, 0.15815718472003937, -0.8624641299247742, 0.5115876197814941, 0.5913943648338318, -1.0720232725143433, 0.421104371547699, 0.7515578269958496, -1.091995120048523, 0.08404067158699036, -1.5516984462738037, -0.24972902238368988, -1.0901241302490234, -0.09305362403392792, -1.2912514209747314, -1.3823739290237427, 0.6346174478530884, -1.004717230796814, 0.1780080497264862, -0.9533088803291321, -0.10854805260896683, -0.6626837849617004, -0.4309017062187195, 0.5054252743721008, -0.09624990820884705, -0.10956422984600067, 0.22949308156967163, 0.7054404616355896, -0.34973615407943726, 1.0636930465698242, 0.17731204628944397, -0.3274095356464386, 1.2260900735855103, -0.6406330466270447, -0.42383426427841187, 0.016960494220256805, 0.0701630562543869, 1.2286721467971802, 0.5532135963439941, -0.06715193390846252, -0.9866291284561157, 0.719131350517273, -0.18491573631763458, 0.08894426375627518, 0.1261022686958313, -0.5495613813400269, -1.1935571432113647, 1.0031204223632812, 0.13427691161632538, -0.4226384162902832, 1.2394944429397583, -0.7917286157608032, -0.47021156549453735, -0.5698274374008179, -0.08729062974452972, 1.1368316411972046, 1.1003767251968384, -0.63665372133255 ]
126
0704.0128
Kim Page
P.A. Evans (1), A.P. Beardmore (1), K.L. Page (1), L.G. Tyler (1), J.P. Osborne (1), M.R. Goad (1), P.T. O'Brien (1), L. Vetere (2), J. Racusin (2), D. Morris (2), D.N. Burrows (2), M. Capalbi (3), M. Perri (3), N. Gehrels (4) and P. Romano (5,6) ((1) University of Leicester, (2) Pennsylvania State University, (3) ASI Science Data Center, (4) NASA/Goddard Space Flight Center, (5) INAF-Osservatorio Astronomico di Brera, (6) Universita' degli Studi di Milano)
An online repository of Swift/XRT light curves of GRBs
8 pages, 6 figures, Accepted for publication in A&A
null
10.1051/0004-6361:20077530
null
astro-ph
null
Context. Swift data are revolutionising our understanding of Gamma Ray Bursts. Since bursts fade rapidly, it is desirable to create and disseminate accurate light curves rapidly. Aims. To provide the community with an online repository of X-ray light curves obtained with Swift. The light curves should be of the quality expected of published data, but automatically created and updated so as to be self-consistent and rapidly available. Methods. We have produced a suite of programs which automatically generates Swift/XRT light curves of GRBs. Effects of the damage to the CCD, automatic readout-mode switching and pile-up are appropriately handled, and the data are binned with variable bin durations, as necessary for a fading source. Results. The light curve repository website (http://www.swift.ac.uk/xrt_curves) contains light curves, hardness ratios and deep images for every GRB which Swift's XRT has observed. When new GRBs are detected, light curves are created and updated within minutes of the data arriving at the UK Swift Science Data Centre.
[ { "created": "Mon, 2 Apr 2007 06:22:08 GMT", "version": "v1" }, { "created": "Thu, 19 Apr 2007 14:27:25 GMT", "version": "v2" } ]
2009-11-13
[ [ "Evans", "P. A.", "" ], [ "Beardmore", "A. P.", "" ], [ "Page", "K. L.", "" ], [ "Tyler", "L. G.", "" ], [ "Osborne", "J. P.", "" ], [ "Goad", "M. R.", "" ], [ "O'Brien", "P. T.", "" ], [ "Vetere", "L.", "" ], [ "Racusin", "J.", "" ], [ "Morris", "D.", "" ], [ "Burrows", "D. N.", "" ], [ "Capalbi", "M.", "" ], [ "Perri", "M.", "" ], [ "Gehrels", "N.", "" ], [ "Romano", "P.", "" ] ]
07
[ 0.4025881290435791, -0.8908024430274963, 0.41633933782577515, -0.05193440988659859, 0.13294370472431183, -0.07326480746269226, 1.4767946004867554, -0.05001290887594223, 0.6483476161956787, -0.5327345728874207, 0.19136309623718262, 0.8105210065841675, 0.13038267195224762, -1.3627063035964966, 1.1056947708129883, 0.1851578652858734, -0.5114967823028564, -0.14230330288410187, -0.009378835558891296, -0.8586959838867188, 0.02542026899755001, -0.21932578086853027, 0.5794948935508728, -0.18753963708877563, -0.8195209503173828, 0.7761671543121338, 0.11009833216667175, -0.13030844926834106, -0.6142485737800598, -0.17311148345470428, -0.07606726884841919, -0.4287392497062683, -0.35706570744514465, 0.6262237429618835, 0.22331516444683075, 0.7084938287734985, -0.8867009878158569, 1.4429560899734497, -0.6139183044433594, 0.5384415984153748, -1.9508585929870605, 0.28139805793762207, 1.1210389137268066, 0.49235570430755615, -0.4031751751899719, 0.08545080572366714, 0.7848249673843384, 0.6477736830711365, -0.32154375314712524, 0.11560504138469696, -0.6440643072128296, 0.2360050529241562, 0.9358040690422058, 0.9997557401657104, 0.013479814864695072, 0.4271276295185089, 0.08654189109802246, -0.47228288650512695, 0.17795544862747192, 0.17766380310058594, -0.3484785854816437, -0.10722251981496811, -0.7798631191253662, 1.1834158897399902, 0.046336300671100616, -0.43104010820388794, -1.1272679567337036, 0.6823417544364929, 0.08065807819366455, 0.9880959987640381, -0.26299676299095154, -0.7041565775871277, 0.16938096284866333, 0.2808372378349304, -0.7651188969612122, 1.8158655166625977, 0.6699275374412537, -0.0671178549528122, -0.05309883505105972, -0.1618320345878601, 0.3113964796066284, 1.074546456336975, 0.49210095405578613, -0.7042546272277832, 0.09706875681877136, -0.46241891384124756, -0.4008435308933258, -0.3291415870189667, -0.8532740473747253, -2.061082124710083, 0.20269745588302612, -1.2815985679626465, 0.11367544531822205, -1.1630749702453613, 0.08353759348392487, 1.5129693746566772, -1.1406536102294922, 0.3790382444858551, -0.08881385624408722, 1.1654959917068481, 0.6155986189842224, 1.7189669609069824, -0.17211368680000305, 0.9652236700057983, 0.7077397704124451, 1.2925636768341064, 0.37477514147758484, 0.6194690465927124, -0.08326174318790436, -0.3876056671142578, 0.3441791236400604, 0.7521056532859802, -1.2652801275253296, 0.47093141078948975, -0.6254038214683533, 0.8486987948417664, -1.1257948875427246, -0.4383280575275421, -0.8744486570358276, -0.3566807508468628, -0.8772678971290588, 0.5421562790870667, -1.241442084312439, -0.804428219795227, 0.1717589646577835, -0.06357599049806595, 1.4058154821395874, 0.07215911895036697, 0.25715169310569763, -0.9304724335670471, 0.37066566944122314, 0.47785302996635437, -0.45360639691352844, -0.4702789783477783, -0.07991635054349899, -0.3330715596675873, 0.08305291086435318, -0.7821148633956909, 0.45531362295150757, -0.9381550550460815, 0.50848788022995, 0.8129109144210815, 0.5068199634552002, -0.8625408411026001, -0.5599197745323181, 0.3363474905490875, 0.18407461047172546, 0.33685943484306335, -0.05911115184426308, -0.4864811897277832, 0.47339123487472534, 0.2528041899204254, 1.2674932479858398, 1.0774015188217163, 0.045952923595905304, -0.516753613948822, 0.7189874053001404, 0.4074133336544037, 0.9915650486946106, 0.8947616815567017, -1.0957653522491455, 2.0770254135131836, -0.3663516342639923, 0.6470698714256287, -0.8786701560020447, -0.39029717445373535, 0.22423620522022247, -0.4041345715522766, -0.02086896449327469, 0.31353843212127686, -0.032138291746377945, -1.3572977781295776, -0.8066357970237732, -0.03692909702658653, 0.6449407935142517, -1.032748818397522, 0.8396730422973633, -1.0485930442810059, -0.6653167009353638, 0.3064684569835663, 0.16003333032131195, 0.0024910487700253725, -0.14241629838943481, -0.34546542167663574, -0.3630123436450958, -0.9453787207603455, -0.2816838324069977, -0.5211520791053772, 0.5708817839622498, -0.6050435304641724, -0.059852540493011475, 0.12660212814807892, 0.2196652740240097, 0.12689901888370514, -0.5202770829200745, 0.022272294387221336, -1.4556150436401367, 0.4851784408092499, -0.8587164282798767, -1.6360104084014893, -0.6301695704460144, 0.25330618023872375, 0.09132717549800873, 0.2308845967054367, -0.28703463077545166, -0.13880999386310577, -1.5649430751800537, 2.2821075916290283, 1.2028177976608276, 0.915337324142456, 1.1213988065719604, 1.4417665004730225, -0.06987249106168747, 0.12765759229660034, 0.4540055990219116, -0.2516723573207855, 0.8005664944648743, -0.5611116290092468, 0.4587864875793457, 0.6709219813346863, -0.6354017853736877, 0.0360429622232914, -0.5332579016685486, -0.1453496664762497, 0.43623796105384827, -0.5681789517402649, 0.6459769606590271, -1.825174331665039, -0.2300392985343933, 0.5099564790725708, 0.16615618765354156, 0.07959120720624924, 0.8487203121185303, -0.9489681720733643, -0.6365329027175903, 1.1004750728607178, 0.48221999406814575, -0.3024923503398895, -0.16245394945144653, -0.2802310585975647, -0.7219358086585999, 1.3953287601470947, 0.7059983015060425, -0.5826407074928284, -0.41380199790000916, -0.20355920493602753, -0.2211143970489502, -0.9089291095733643, 0.1750541478395462, -0.3682524859905243, 0.2866782546043396, -0.2724725902080536, -0.2069098949432373, -0.9760909676551819, 0.6454825401306152, -0.4857064187526703, 0.14773091673851013, -1.2816683053970337, 0.8129094839096069, 0.27002832293510437, -0.16763919591903687, -0.7087312936782837, -0.48232507705688477, -0.8008792400360107, -1.3976666927337646, -0.5516700148582458, -0.030373089015483856, 0.2788703143596649, -1.4189221858978271, -0.4068669378757477, -1.069044828414917, -0.33514490723609924, 1.4881352186203003, -0.012162207625806332, 0.612721860408783, -0.7442137598991394, -0.1920972764492035, -2.053567409515381, 0.1537548303604126, 0.2527543604373932, -0.4110531806945801, -0.5455471873283386, 1.1177362203598022, 0.12109409272670746, 0.284358412027359, -0.5251142978668213, 0.3342159390449524, -0.00466440012678504, 0.3326081931591034, -0.33381006121635437, 1.3529434204101562, 0.12816454470157623, -0.5153800249099731, -0.4512785077095032, 0.3179517686367035, 1.386702060699463, -0.4646596312522888, -1.2113662958145142, 0.030522067099809647, 0.6064313054084778, 1.4028972387313843, -0.1652761697769165, -0.7774105072021484, 0.8212453126907349, 0.507020890712738, 0.05695658177137375, -0.7243099808692932, -0.6060216426849365, -0.1749839037656784, -0.8468371033668518, -1.0504578351974487, 0.7930710315704346, -0.26695242524147034, 1.5974454879760742, 0.8595078587532043, -0.29241862893104553, 1.1586652994155884, 0.07564474642276764, -0.5956064462661743, 0.6392715573310852, -0.5001525282859802, -0.5107681155204773, -0.03808260336518288, 0.9498506784439087, 0.20729519426822662, -0.12257227301597595, 0.542555570602417, 0.40195924043655396, 1.1440993547439575, 0.5797311067581177, -0.7692998051643372, 0.06441935896873474, -1.5000125169754028, -0.04717150330543518, 0.5129357576370239, -0.0716153159737587, 0.9528585076332092, -0.526157796382904, -0.8587347865104675, -0.34064245223999023, 0.2896207571029663, 0.6190065741539001, 0.6763022541999817, 0.26003822684288025, -0.01756899431347847, -0.8720612525939941, -0.24525578320026398, -0.037063535302877426, 0.38429513573646545, -0.7892241477966309, 0.18734651803970337, 1.069939374923706, -0.6362998485565186, -1.286503553390503, -0.3924676179885864, 0.39493608474731445, 0.46337199211120605, 1.37449312210083, 0.9712969660758972, 0.1756800413131714, -0.5194480419158936, -0.6734846234321594, -1.0436633825302124, 0.7115416526794434, 0.07953387498855591, -2.2769200801849365, -0.529548704624176, 2.334266424179077, -0.6605255007743835, -0.1960814744234085, -0.29044055938720703, 0.5432912707328796, 0.5884174704551697, 0.478447824716568, -1.8508548736572266, 0.4100003242492676, 0.46629419922828674, 0.5247410535812378, 0.09461281448602676, -0.334382563829422, -1.3040770292282104, 0.12132236361503601, 1.0269393920898438, 0.5809699892997742, 0.3457272946834564, 0.424976110458374, -0.08444627374410629, -0.5571067333221436, 1.7531261444091797, -0.18299613893032074, -0.7796109914779663, -0.4218882918357849, -0.20651546120643616, 0.9564524292945862, 1.2726354598999023, -0.5761011242866516, -1.0296599864959717, -1.39133620262146, -1.594422698020935, -2.420585870742798, 0.08067534863948822, -0.388008177280426, 0.2767936587333679, 0.044762350618839264, -0.6645293831825256, -1.282612919807434, -0.11370483040809631, 1.4495213031768799, -0.6073505878448486, -0.9063213467597961, 0.6660553812980652, -0.5891211628913879, -0.12148743867874146, 0.16264621913433075, -0.18380174040794373, -0.6915029883384705, -1.7318916320800781, -1.6792256832122803, -0.8514767289161682, -0.16370709240436554, 0.833766758441925, -0.09845536947250366, -0.15105779469013214, -0.9412969946861267, -0.2773088812828064, -0.8104897141456604, -0.5421618819236755, -0.757625937461853, 0.9600105285644531, 1.6895540952682495, 0.07433150708675385, 0.11210373789072037, -1.102752447128296, 0.44185495376586914, -0.5413443446159363, -0.8938868045806885, 0.2240043431520462, 2.530944347381592, -0.2999568581581116, -0.06401082128286362, -1.0224847793579102, -1.6328275203704834, 0.3750196695327759, -1.6350047588348389, 0.3496265709400177, -0.03794628754258156, 0.172511026263237, -0.19532479345798492, -0.30459314584732056, 0.4151202142238617, -0.7019076943397522, -0.7901076674461365, -0.9885642528533936, 1.379172921180725, -0.36171668767929077, 0.03935647010803223, -0.7952877879142761, 0.060510993003845215, -0.23392918705940247, 0.5486233234405518, -0.5837636590003967, 0.3807719349861145, 1.0885365009307861, 0.061551567167043686, -0.4725998640060425, -0.24533823132514954, 0.22759975492954254, -0.3096059560775757, -0.10382483899593353, -0.7598398923873901, 0.42258915305137634, 0.13743926584720612, -0.5106679201126099, -0.7590548396110535, -0.2384592890739441, 0.6050038933753967, 0.33907201886177063, -0.3666416108608246, -0.7350021600723267, -1.4163248538970947, 1.6405491828918457, 0.9671593904495239, 0.4734116494655609, -0.8335779905319214, 0.32075387239456177, 0.3011586666107178, -0.6337275505065918, -0.43420645594596863, -0.2596179246902466, -0.7711747288703918, -0.3764655888080597, 1.108338475227356, 0.5615227222442627, 0.27226516604423523, 0.1433318853378296, -0.27912187576293945, 0.4569183588027954, -0.9251050353050232, -0.020418871194124222, -0.686017632484436, -0.44394001364707947, -0.9684063196182251, -0.447902113199234, 1.010843276977539, 1.2511290311813354, -0.11356525868177414, 0.18972526490688324, -0.34641963243484497, -0.04303588345646858, 1.656415581703186, -0.15917804837226868, 0.5724957585334778, -0.631768524646759, -0.7096632719039917, -0.8454955220222473, 0.43167439103126526, 0.4834998548030853, -3.132756233215332, 0.08437462896108627, -0.5943173766136169, -0.16700202226638794, 0.4072728455066681, -0.013797543942928314, -1.9923458099365234, -0.005591290537267923, 0.2510441541671753, 0.313963919878006, 0.8700815439224243, 0.3481564521789551, 0.355265349149704, -0.16315320134162903, 0.016598382964730263, -0.38046905398368835, -0.925478994846344, -0.32715368270874023, -0.9952486753463745, 0.9593732953071594, -0.6681860685348511, 0.2564132511615753, -0.4588787257671356, -0.5390214323997498, -0.5356774926185608, 0.9181293249130249, 0.023814737796783447, 0.4201233983039856, -1.0827369689941406, 0.14284996688365936, -0.16265393793582916, 0.7339135408401489, -0.5304751396179199, -0.47208279371261597, -0.25064101815223694, 0.49319228529930115, 0.11465267091989517, 1.228779673576355, -0.8822912573814392, -6.516833782196045, -1.4371212720870972, 0.7722604870796204, 0.8393157124519348, 0.3820580244064331, 0.2235347330570221, 0.2405245304107666, 0.8801950216293335, 0.3293931782245636, 0.1870240867137909, -1.1301981210708618, -0.802673876285553, -1.0486326217651367, -1.3454177379608154, 0.43634310364723206, 0.08964668214321136, -0.9569524526596069, -0.2127605378627777, 0.1294509619474411, -0.9271566867828369, 0.2269953340291977, -0.6569637060165405, 1.1236038208007812, -0.4185193181037903, -1.8413398265838623, 0.1043308675289154, -0.4581841826438904, -0.5383554100990295, -0.7785703539848328, 1.3705081939697266, 0.4358656108379364, 0.5564259886741638, 0.38911664485931396, -0.3081977963447571, -0.7180737257003784, 0.6697702407836914, -1.0320875644683838, 0.5145555138587952, 0.9971399903297424, 0.20906561613082886, -0.4231713116168976, 0.4541008770465851, -0.15767055749893188, -0.62776780128479, -0.3660504221916199, -0.5444040894508362, 0.1309618353843689, -0.7437906861305237, 0.6051357388496399, 0.05888291448354721, -0.7319981455802917, -0.9724639654159546, 0.22677084803581238, 0.35907796025276184, 1.1350516080856323, -0.865776777267456, 0.631144642829895, 0.3391916751861572, -0.9114271998405457, -0.5364996790885925, 0.7802000045776367, -0.4524883031845093, -2.184835195541382, 0.5205792784690857, 1.3582243919372559, -0.6658702492713928, 0.03888724371790886, -0.49762430787086487, -0.2798081934452057, -0.1413305550813675, -0.9241623282432556, -0.9549176096916199, 1.26860773563385, 0.6861611604690552, -0.12852530181407928, -0.9896259903907776, -0.4450688660144806, 1.2160242795944214, -0.28260940313339233, 0.2111223340034485, 0.19291172921657562, 1.1073768138885498, 0.024241093546152115, -0.9715546369552612, -0.1739974319934845, 0.5216180682182312, -0.6182828545570374, 1.4327157735824585, 0.452914834022522, -0.4807853400707245, 0.41108113527297974, -0.07605379074811935, -1.2872941493988037, -0.7633367776870728, 0.7028749585151672, -0.4312689006328583, -1.4748637676239014, 0.4475417137145996, -0.9578567743301392, 0.6417515277862549, 0.8340005874633789, 0.6579198837280273, -0.4051090180873871, -0.10205540806055069, -0.7903663516044617, -0.14198820292949677, 0.04773954674601555, 0.5018410682678223, 0.3417187035083771, 1.7931499481201172, -0.09236287325620651, -0.28890106081962585, -0.46125710010528564, -0.11293375492095947, 0.24919043481349945, 0.1550992876291275, -0.26279115676879883, 0.8562344908714294, -0.3725070655345917, 0.9071341753005981, 0.38095155358314514, -0.40878042578697205, -0.8696044683456421, 0.35522231459617615, 0.14060187339782715, 0.04804174229502678, 0.6681676506996155, 0.9445272088050842, -0.38284143805503845, 0.3232356607913971, -0.8490481376647949, -1.027184247970581, 0.29512497782707214, 0.4596738815307617, 0.07375490665435791, -0.7858152985572815, 0.45742809772491455, 0.040859997272491455, -0.28661003708839417, -0.8752613663673401, 0.40360093116760254, -0.2656349241733551, -0.32301637530326843, -1.3410542011260986, -0.544103741645813, -0.2109624445438385, -0.11641128361225128, 0.40937912464141846, -0.8123840689659119, -0.9271833896636963, 0.7331562638282776, 0.5127949118614197, -0.8262780904769897, 1.4173250198364258, 0.25738203525543213, 0.7782818078994751, -1.637215495109558, 0.39152270555496216, 0.2951728105545044, 0.24705450236797333, 0.13932931423187256, 0.20797795057296753, 0.17511023581027985, -1.0857828855514526, -0.19101208448410034, -0.5921365022659302, 0.0064393593929708, 0.094552181661129, -1.4682482481002808, 0.9008262157440186, -0.47355565428733826, -0.34900885820388794, -0.21132808923721313, 0.876918375492096, -1.3928613662719727, 1.0232287645339966, -0.9161282181739807, 0.411358505487442, -0.5274927020072937, 0.5983482599258423, 1.3669947385787964, 2.145656108856201, 0.2673112452030182, -0.3982241153717041, 0.6262170076370239, 0.6922065019607544, 1.07719886302948, -0.0955391600728035, 0.44087231159210205, -1.5104631185531616, -0.21592096984386444, 0.33331456780433655, -0.05627520754933357, 0.398375540971756, -0.2759748697280884, -1.0827300548553467, 0.6991146802902222, -0.08092527836561203, 0.8653028011322021, -0.3421502411365509, 0.2041589617729187, 0.6483986377716064, 0.43519043922424316, 0.4283151626586914, -0.6801283955574036, 0.49435505270957947, -0.2772761583328247, 0.3059597909450531, 0.39235571026802063, -0.7982235550880432, 0.708038330078125, 0.13824471831321716 ]
127
0704.0129
Alfonso Sorrentino
Alfonso Sorrentino
On the total disconnectedness of the quotient Aubry set
21 pages, accepted for publication in Ergodic Theory Dynam. Systems
null
null
null
math.DS math-ph math.AP math.MP
null
In this paper we show that the quotient Aubry set associated to certain Lagrangians is totally disconnected (i.e., every connected component consists of a single point). Moreover, we discuss the relation between this problem and a Morse-Sard type property for (difference of) critical subsolutions of Hamilton-Jacobi equations.
[ { "created": "Mon, 2 Apr 2007 18:03:33 GMT", "version": "v1" } ]
2007-05-23
[ [ "Sorrentino", "Alfonso", "" ] ]
07
[ 0.3256303369998932, -0.3691672384738922, -0.2751474976539612, -0.09796532243490219, 0.8305662274360657, 0.22847101092338562, 1.187282919883728, -0.6035290360450745, -2.0619001388549805, 0.45966705679893494, -0.25626835227012634, 0.509351372718811, 0.13080401718616486, 0.5725377202033997, 0.4856540858745575, -0.46001964807510376, 1.104622483253479, 0.5358332395553589, -0.6107550263404846, -0.04870036989450455, -0.17884840071201324, -0.3633440136909485, -0.39603808522224426, -0.46884915232658386, -0.5689369440078735, -0.5519373416900635, -0.31495967507362366, 1.035757064819336, -0.7179877161979675, -1.2254456281661987, 0.258571982383728, 0.5965221524238586, -1.373401165008545, 0.43749260902404785, 0.2949320673942566, 0.3401801586151123, 0.8331509232521057, -0.4696526825428009, -0.8413121700286865, 0.1319146603345871, 0.4580056965351105, 0.6928699612617493, 0.8521077632904053, 0.1443261206150055, -0.24921536445617676, -0.8920975923538208, -0.22389550507068634, 0.36625954508781433, 0.6922858357429504, -0.27308082580566406, -0.5920020937919617, 0.6268361210823059, -0.9840618371963501, 0.3018650412559509, 1.269454002380371, 0.937930166721344, -0.11367039382457733, 0.660671591758728, -0.20983216166496277, -0.13110379874706268, -0.11728989332914352, -0.1586807519197464, 0.9835511445999146, -0.32164013385772705, -0.9668779373168945, -0.8257029056549072, -0.10784453898668289, 1.4364804029464722, 1.792164921760559, 1.194715976715088, 0.1725902259349823, -0.7537273168563843, -1.0937349796295166, -1.1875932216644287, 0.01900004781782627, -0.7776353359222412, 0.48357897996902466, -0.18548794090747833, 0.6995528936386108, -0.210396409034729, -0.16142761707305908, -0.03138657286763191, -0.7459556460380554, 0.9726374745368958, 0.5376890897750854, 0.013346505351364613, -0.4271569848060608, 0.1921050250530243, -0.5510904788970947, 1.4891297817230225, -0.3468632996082306, -1.5120465755462646, 0.567922830581665, 1.0957139730453491, -1.1589387655258179, 0.027531463652849197, -0.020129412412643433, -0.002431052504107356, 0.05011669546365738, 0.44920456409454346, -0.1706172227859497, -0.27627691626548767, 0.08539161831140518, 0.33318835496902466, -0.4723369777202606, -0.08688214421272278, 0.4481920599937439, 0.40063759684562683, 0.17305298149585724, -1.0486102104187012, -0.7327383160591125, -0.27138933539390564, -1.0166772603988647, -0.5164270401000977, -0.9358832240104675, 0.19390150904655457, -1.5206661224365234, -0.4917282164096832, 0.5200506448745728, -0.5541263818740845, -0.27272140979766846, 0.1929384469985962, 1.3917591571807861, 0.20594307780265808, -0.10346201062202454, -0.19244810938835144, -1.5417778491973877, -0.9869626760482788, -1.2128835916519165, -1.0195062160491943, 0.1384134441614151, 0.030029408633708954, 0.21631811559200287, -0.5622288584709167, -0.47577908635139465, 0.8244465589523315, -0.5675029754638672, -1.0173444747924805, -0.9179397225379944, -0.11486675590276718, 0.701311469078064, -0.28705519437789917, 0.4593810439109802, 1.4169535636901855, 0.4037223756313324, 0.0626785159111023, -0.5602717399597168, 1.4341824054718018, 0.39931520819664, -0.34754225611686707, 0.4771643280982971, -0.2774140238761902, 0.16379354894161224, 0.6684874296188354, -0.38388004899024963, 0.5237553715705872, -0.28355783224105835, 1.5928905010223389, 0.6351693868637085, -0.3456132411956787, 0.509387731552124, -0.1846785992383957, 1.3110357522964478, -0.044687420129776, 0.11129409074783325, 0.16011165082454681, -0.31251728534698486, -0.6284797787666321, 0.06657204031944275, 0.28157708048820496, -0.540656328201294, -0.7178307175636292, 0.9785668849945068, 0.21861031651496887, -0.26142004132270813, 0.18546517193317413, 0.665800929069519, -0.9061669707298279, -0.021750889718532562, -0.027357228100299835, -1.0918346643447876, 0.04274666681885719, -0.11665520817041397, -0.27762898802757263, -0.048790305852890015, -0.8068132996559143, 0.32753586769104004, -0.5180932879447937, -0.10728973150253296, 0.9046837687492371, 0.1791955828666687, 0.49205347895622253, -0.2889224886894226, 0.003423369023948908, -0.48747456073760986, -0.42509573698043823, 0.9253695011138916, 0.258168488740921, 0.5290290117263794, 0.25975513458251953, 0.6716696619987488, -0.07958309352397919, -0.4675906002521515, 0.7399420142173767, 0.8103241324424744, 0.36929211020469666, -0.3482274115085602, -0.12320733815431595, -0.17435120046138763, -0.4305153489112854, -1.0154833793640137, -0.8503172397613525, -0.26561832427978516, -0.22096756100654602, 0.6175726652145386, 1.548366665840149, 0.15322734415531158, -0.485122412443161, -0.2928209602832794, 1.2896802425384521, -0.2674121856689453, 0.020953267812728882, 0.21439804136753082, -0.41590115427970886, 0.3312998414039612, 1.133188009262085, 0.11109129339456558, -0.09067081660032272, -0.14403226971626282, -0.7600168585777283, 1.0616551637649536, -0.316523939371109, -0.055979494005441666, -0.06399960070848465, 1.0619232654571533, 0.27996188402175903, -0.7908663749694824, -0.357107549905777, 0.8965567350387573, 0.5807503461837769, -0.1716977208852768, -0.30012455582618713, 0.0334019772708416, -1.2675467729568481, -0.4231175184249878, 0.10238510370254517, 1.180111289024353, -0.5375290513038635, -0.1377985179424286, 1.1735304594039917, 0.5817087292671204, 0.22563016414642334, 0.5990219712257385, -0.8708726167678833, 0.023563498631119728, -0.04222440719604492, -0.29876264929771423, 0.47476375102996826, -2.040316581726074, 1.0481910705566406, -1.0217734575271606, 0.45645973086357117, 0.3471408188343048, -0.22432522475719452, 1.0375288724899292, -1.1410837173461914, 0.7062466144561768, -0.3622104823589325, -0.6864737868309021, 0.9770182967185974, -0.7492495179176331, 1.4440895318984985, 0.41549354791641235, 0.5856841802597046, -1.0429489612579346, 0.20031434297561646, 0.4888932704925537, -0.26878753304481506, 0.13430403172969818, -0.46698835492134094, 0.16975679993629456, 2.5728750228881836, -0.07835032045841217, 0.5628010630607605, 1.500635027885437, -0.14840726554393768, -1.340219497680664, 0.6491017937660217, 1.2453261613845825, -0.18916212022304535, -0.23418796062469482, -0.17183460295200348, -0.043179623782634735, -0.23486845195293427, -1.0024875402450562, -0.9249069690704346, -0.5284823775291443, 0.3364912271499634, 0.8642077445983887, 0.31200501322746277, -1.229538917541504, -1.0812711715698242, -0.9205849170684814, 1.6019787788391113, 0.7109479904174805, -0.29036378860473633, -0.46985161304473877, 0.011168092489242554, -0.26477205753326416, -0.29024738073349, -1.157889485359192, -0.5006451606750488, -1.129375696182251, -0.4631030261516571, 2.007692337036133, 0.7115746736526489, 1.173155665397644, 0.48015856742858887, 0.26850470900535583, -1.172563076019287, 0.15828026831150055, -0.27610981464385986, 0.2917826771736145, -0.525856614112854, -0.37906134128570557, 0.2834426760673523, -0.4971693158149719, -0.6249096393585205, 0.5387417078018188, 0.3549636900424957, 0.3077392876148224, 0.23343044519424438, 0.21192872524261475, 0.10730887949466705, 0.050965406000614166, -0.7901594042778015, -0.7735164165496826, -0.6335011124610901, 1.09351646900177, -0.5432966351509094, -0.04505812004208565, 1.2296388149261475, -0.9498701691627502, -0.5868499875068665, 0.13015660643577576, 0.276456743478775, 0.182111456990242, -1.0288610458374023, -0.47460606694221497, 1.6559654474258423, -0.22634059190750122, 0.37530434131622314, -1.010321021080017, -0.4642111659049988, 0.9266995787620544, -0.31376850605010986, -0.023298010230064392, 1.2512394189834595, -0.8593974709510803, 0.7925615906715393, 0.48194366693496704, -0.28330934047698975, 0.27068981528282166, -0.4655291736125946, 0.2695077955722809, -0.2658539116382599, -0.22631028294563293, 0.001448355382308364, 0.6887233853340149, 0.2913115918636322, -1.6228705644607544, 0.3182211220264435, 0.07102517038583755, 0.0475798062980175, -1.5854558944702148, 0.5769205689430237, -0.25303444266319275, 0.7787361741065979, 0.8623769879341125, 0.15510010719299316, 0.1290455311536789, 1.6321430206298828, -0.33076855540275574, -0.2736018896102905, 0.21831879019737244, 0.18832722306251526, -0.3775876760482788, 0.08284296840429306, 0.6846904754638672, -0.29754918813705444, 0.6284175515174866, -0.13324329257011414, -0.27437740564346313, 0.528781533241272, 0.617082953453064, 0.6298379302024841, 1.4422670602798462, -0.0579325407743454, 0.4040963053703308, -0.40132203698158264, -1.1594843864440918, 0.6584106683731079, 0.6162756681442261, -0.21116600930690765, 0.629828691482544, -0.23362509906291962, -1.1331980228424072, 0.3847394287586212, 0.916025698184967, -0.3787629008293152, 0.013777907006442547, 0.6417829990386963, 0.1465633511543274, 0.7631378769874573, 0.4023449718952179, -0.8695180416107178, -1.8626877069473267, -0.21354036033153534, 1.3212522268295288, -1.8776824474334717, -0.23030492663383484, -0.018443169072270393, 0.7729714512825012, 0.6002617478370667, -0.43008363246917725, -0.6592003107070923, 0.07228773832321167, -0.5039329528808594, -0.7780740261077881, 0.596615731716156, 0.18738652765750885, -2.038329839706421, 0.5424510836601257, -0.0025723036378622055, -0.7125579118728638, -1.5536504983901978, 0.014069407247006893, 0.25491318106651306, -0.2006552815437317, -1.181743860244751, -0.8327022790908813, -0.055021751672029495, 0.06229216605424881, -0.8727304935455322, 0.7282738089561462, -1.6343178749084473, 0.021993674337863922, 1.4419443607330322, -0.08328890055418015, -0.02588997595012188, 0.6469482183456421, 0.400704950094223, 0.7739439010620117, 0.25175976753234863, 0.2900471091270447, 0.2951655089855194, 1.1116994619369507, 0.2900572121143341, -0.4892662763595581, -0.7562355399131775, -0.4924950897693634, -0.7190343737602234, 1.189589500427246, -1.025993824005127, 0.45968154072761536, -0.612761914730072, 1.0648057460784912, -0.2646276354789734, -0.12518833577632904, 1.397437334060669, 1.011818289756775, -0.3444063067436218, -0.9803653955459595, -1.1584486961364746, -0.11396215856075287, 0.11680527776479721, -0.945582389831543, -0.20974144339561462, -0.1358526200056076, 0.6853345036506653, 1.8593313694000244, 0.2146620899438858, 0.4497956931591034, -0.18472349643707275, 0.6339807510375977, 0.6458788514137268, -0.2502876818180084, 0.05935170501470566, 0.1991189867258072, 1.4066040515899658, -0.10373103618621826, 0.08029980212450027, -0.8942463397979736, 0.8307352066040039, -1.052608847618103, 1.3682072162628174, -0.6332980990409851, 0.14609484374523163, -0.03813731670379639, -0.1331259310245514, -0.5367295742034912, -0.15352998673915863, -0.07945476472377777, -0.4280058443546295, -1.2986193895339966, -1.1168968677520752, 0.6230957508087158, 0.5927764177322388, -0.10011401772499084, 0.014245254918932915, -0.7076249718666077, 0.6268479228019714, 0.17066296935081482, 0.21079398691654205, 0.9059372544288635, -0.6651456356048584, 0.9974410533905029, -3.269369125366211, 0.05924545228481293, 0.1936485320329666, 1.5630279779434204, -0.6621964573860168, -0.14437033236026764, -0.25568628311157227, -0.1514105647802353, -0.06004153564572334, -1.325993537902832, -0.8852870464324951, 0.15263983607292175, 0.5835240483283997, -0.2787928581237793, 0.5458619594573975, -1.0881545543670654, 0.10868865996599197, -1.0290372371673584, -0.7114414572715759, -0.6776121258735657, 0.6911149621009827, -0.5013646483421326, 0.018807541579008102, -0.7649629712104797, -1.0897728204727173, 0.15580019354820251, -0.9250515699386597, 0.8238545656204224, -0.26232919096946716, 0.16026604175567627, -0.9797244668006897, -0.7201577425003052, 0.8639707565307617, -0.6283325552940369, 0.11029781401157379, -0.13286569714546204, 1.1423335075378418, -0.277226984500885, 0.11384706199169159, -7.784893035888672, 0.2834624946117401, -0.3324294984340668, 1.419107437133789, 0.5455286502838135, -0.43457549810409546, -0.8444114327430725, -0.5194434523582458, -0.09668362885713577, -0.8620520234107971, 1.0812928676605225, 0.8559074997901917, -0.09467509388923645, -1.167493462562561, -0.3657194674015045, 0.556522786617279, -0.22540369629859924, -0.2981239855289459, -0.9180072546005249, 1.606188416481018, -1.0571531057357788, 0.8951787352561951, -0.1620791256427765, -0.5881827473640442, -0.6708911061286926, 0.6797546744346619, -0.07261942327022552, -1.233202576637268, 0.1620383858680725, 0.05964306741952896, -0.730509877204895, 0.629305362701416, -0.5916345119476318, -0.41038623452186584, -1.6102478504180908, -0.756899893283844, -0.2213543802499771, -0.9938449263572693, -1.3142929077148438, 0.30613118410110474, -0.15764442086219788, 0.06484504044055939, -0.07582423835992813, 1.125706434249878, -0.2639155685901642, 0.5526196360588074, -0.21312473714351654, 0.037062522023916245, -0.2815338373184204, -0.5313286781311035, -1.5899560451507568, 0.8852983117103577, 0.45209571719169617, -0.5972824096679688, -0.27013903856277466, -0.08931619673967361, 0.19965797662734985, -1.0071965456008911, -0.5376021862030029, 0.5113933086395264, -0.7781423330307007, 0.13276830315589905, 1.3061529397964478, 0.9279291033744812, -0.7243936061859131, 1.5227612257003784, -1.5279964208602905, 0.6329920291900635, -0.5762770771980286, 0.09699747711420059, -0.39902424812316895, -0.040238454937934875, 1.1404775381088257, -0.43225160241127014, 0.4294685423374176, -0.7253353595733643, 1.168060302734375, 1.1060781478881836, -0.12575414776802063, -0.1690939962863922, -0.5783585906028748, 0.38683852553367615, 0.2820889949798584, 1.1360434293746948, 0.20839299261569977, -0.37244024872779846, 0.10556250065565109, 0.042471349239349365, 0.06315819174051285, -0.7324640154838562, -0.4105387032032013, 1.9599229097366333, 0.455898642539978, -1.121283769607544, -0.7879327535629272, 0.08279834687709808, 0.6819472908973694, -0.5410398840904236, 0.4918197989463806, 0.7773439288139343, -1.6083797216415405, -0.4132072329521179, 0.3160536587238312, 0.4118296504020691, 0.20086754858493805, 0.6547269821166992, -1.2803782224655151, 0.3567357063293457, 0.23062856495380402, 0.010110987350344658, 0.1853346973657608, 0.09146326035261154, 1.2619074583053589, -0.6384930610656738, -0.2912033200263977, -0.3893822431564331, -0.5308520197868347, 0.6810336112976074, -0.8371068239212036, -1.176353931427002, 0.18185415863990784, -0.3129348158836365, -0.1091691330075264, 1.4637149572372437, -0.20990514755249023, -1.0125043392181396, -0.5324237942695618, 0.6556110382080078, -0.900025486946106, -0.8955423831939697, -0.33475977182388306, -0.37453752756118774, -0.4554736614227295, 0.22411105036735535, 0.16989439725875854, -1.4667202234268188, -0.12441816180944443, -0.5100944638252258, 1.2769334316253662, -0.33835577964782715, -0.442155659198761, -0.6529359221458435, -0.9252973198890686, -0.21733252704143524, 0.6564265489578247, -0.3154784142971039, -0.21376937627792358, 0.4776735305786133, -0.20847095549106598, -0.9091379642486572, 0.8323931694030762, 0.27907174825668335, 1.3455069065093994, -1.0759167671203613, -0.5967687368392944, -0.43874821066856384, -1.3181408643722534, -0.9515863060951233, -0.8472912907600403, -0.9757929444313049, -0.2967534363269806, 0.5037841796875, 0.5550642013549805, 0.47509175539016724, -0.003631007159128785, -1.3445791006088257, -0.1021333709359169, -0.432181715965271, -0.2380066215991974, -0.4348205029964447, 0.33162128925323486, 0.16725201904773712, -0.6046050786972046, 0.9008623957633972, -0.4040857255458832, -0.2628962993621826, -1.0336284637451172, -0.9900926947593689, -0.21642428636550903, -0.44936275482177734, -0.9785926938056946, 0.28453773260116577, 0.5988346934318542, 0.7707266211509705, -0.6043426394462585, 1.6616261005401611, -0.3076315224170685, 0.2742918133735657, 0.6800278425216675, -0.011377569288015366, -0.21842356026172638, -1.520256519317627, -1.0720083713531494, 0.19140788912773132, -0.6419845223426819, -0.3773290514945984, 0.2109869122505188, 0.26117458939552307, -0.5910915732383728, -0.8491000533103943, -0.1448032259941101, 0.5685582756996155, 0.46657294034957886, -0.4825492203235626, -0.1591731756925583, -1.030430793762207, -0.7691065073013306, -0.061775851994752884, 0.7600465416908264, -0.7430359721183777, 0.7835376262664795, -0.44242826104164124 ]
128
0704.0130
Sofiane Bouarroudj
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites
New simple modular Lie superalgebras as generalized prolongs
20 pages, to appear in Funktsional. Anal. i Prilozhen
Funktsional. Anal. i Prilozhen 42, no. 3, (2008), 1-9; English transl.: Funct. Anal. and its Appl., 42, no. 3, (2008), 161-168.
null
null
math.RT
null
Over algebraically closed fields of characteristic p>2, prolongations of the simple finite dimensional Lie algebras and Lie superalgebras with Cartan matrix are studied for certain simplest gradings of these algebras. Several new simple Lie superalgebras are discovered, serial and exceptional, including superBrown and superMelikyan superalgebras. Simple Lie superalgebras with Cartan matrix of rank 2 are classified.
[ { "created": "Mon, 2 Apr 2007 06:25:15 GMT", "version": "v1" } ]
2009-06-24
[ [ "Bouarroudj", "Sofiane", "" ], [ "Grozman", "Pavel", "" ], [ "Leites", "Dimitry", "" ] ]
07
[ -0.30727994441986084, 0.0836898535490036, 1.0217496156692505, -0.29122182726860046, 0.4256024956703186, -0.13507169485092163, -0.608896791934967, -0.22649718821048737, -0.7777140140533447, -0.3730788826942444, 0.5302690267562866, -0.922420859336853, 0.6071339249610901, 1.1355112791061401, -0.979568362236023, 1.1590619087219238, 0.3390006422996521, 0.4859218895435333, 0.08093059062957764, -0.5014955401420593, -0.8627312183380127, 0.3532813787460327, -1.0289908647537231, -0.5459606051445007, 0.11200263351202011, 0.378711998462677, -0.27237313985824585, -0.5621334314346313, -0.5125283002853394, 0.4523490369319916, 0.43476754426956177, 0.4610808193683624, -0.9326019287109375, 0.14529971778392792, 0.25216591358184814, -0.2899154722690582, -0.4076010584831238, -1.0726420879364014, 0.03159528598189354, -0.8289080858230591, -0.26711389422416687, -1.0553309917449951, -0.53099524974823, 0.16386204957962036, 0.04156586900353432, -1.5878311395645142, 0.07854767143726349, -0.6571030616760254, 0.5751476287841797, -0.23798562586307526, -0.9104014039039612, 0.7355616092681885, -0.2220487743616104, 0.15898138284683228, -0.17533069849014282, 0.13616164028644562, -0.3431362211704254, -0.32209527492523193, -0.894528865814209, -0.1705246865749359, -0.7588620781898499, 0.32968398928642273, 0.8023555278778076, 1.9761344194412231, -0.18069376051425934, -0.867523729801178, 0.004752141423523426, -0.33277627825737, 1.067409873008728, 0.419961154460907, -0.35528364777565, 0.28387969732284546, -1.87342369556427, 0.14921234548091888, 0.5390397310256958, 0.756122887134552, 0.602458655834198, -0.3762229084968567, -0.010276535525918007, 0.8173655867576599, -0.43966758251190186, -0.05860338360071182, -0.8430257439613342, -0.7451741099357605, -1.3920042514801025, 0.3009098470211029, 1.4504979848861694, 1.0299879312515259, -0.6816402077674866, -0.16966800391674042, -0.28667086362838745, -0.9009230732917786, 0.37112218141555786, -1.4170194864273071, 1.099395751953125, -1.2102718353271484, -0.1752924919128418, 0.6325061321258545, 0.6562204957008362, 0.06149910390377045, 0.7472271919250488, 0.7035347819328308, 0.4672442376613617, 0.7756384611129761, -0.48581111431121826, -0.0602811723947525, 0.145369753241539, 0.2838042080402374, 0.2264629304409027, -0.8348524570465088, 0.2619176506996155, -0.9691463112831116, 0.4584522247314453, -0.42296144366264343, -0.6259539723396301, 1.2144191265106201, -0.826278567314148, 0.021043766289949417, -0.09171490371227264, -0.24278979003429413, -0.5188612341880798, 0.12922555208206177, 1.3555614948272705, -1.2959595918655396, 0.4805822968482971, 0.5814722180366516, -0.7119053602218628, 0.27975937724113464, -0.6128524541854858, -1.1600522994995117, -0.15221340954303741, -0.026534419506788254, 0.8825562000274658, -0.3291429579257965, -0.02420980855822563, 0.7449542284011841, 0.6200135946273804, -0.2145126909017563, -0.21295437216758728, -0.9216870069503784, -0.011427493765950203, -0.445754736661911, -0.44964948296546936, 1.6605184078216553, -0.19997332990169525, -0.15289819240570068, -0.0662175863981247, 1.314117670059204, 0.8370863795280457, 0.02802431769669056, 0.09862415492534637, 0.6189529895782471, 0.03273339942097664, -0.22537308931350708, -0.768126904964447, -1.2648307085037231, -0.5872546434402466, 1.8399001359939575, -0.4776700735092163, 0.5774843096733093, -0.9642587304115295, 0.11468765139579773, -0.8365007638931274, 0.4398205280303955, -0.2640795111656189, 0.4746814966201782, -0.3453388214111328, -0.16147373616695404, 0.1853337585926056, 0.033381976187229156, -0.9967023134231567, -0.3741622269153595, 0.3870338201522827, -0.11813238263130188, 0.4926546812057495, 0.6254293322563171, 0.25841277837753296, 0.8215723633766174, -0.6791925430297852, 0.9661558866500854, -1.4316720962524414, 0.1815059334039688, 1.0120434761047363, 0.7430251240730286, 0.06134025752544403, -0.1459040343761444, -0.1569201648235321, -0.6929198503494263, 0.44926413893699646, 0.31852269172668457, -1.3196290731430054, -1.6040763854980469, 0.3325062394142151, -0.27169373631477356, -0.14828020334243774, 0.7210673093795776, 0.15136486291885376, -0.5975824594497681, 0.08961522579193115, -0.8582699298858643, 0.40204542875289917, -0.037441007792949677, -0.5821608901023865, 0.24090264737606049, -1.100522518157959, -0.3346759080886841, 0.6813978552818298, -0.8893294930458069, 1.5489798784255981, -0.2888428866863251, -0.35827288031578064, 0.04857005551457405, -0.23974213004112244, 0.24983561038970947, 1.92448890209198, -0.29697853326797485, -0.2839859426021576, 0.38273483514785767, 1.0870444774627686, 1.0486485958099365, 0.36761173605918884, 0.9461740851402283, 0.1035582423210144, -0.6795274615287781, 0.19272741675376892, 1.0994731187820435, 0.8942603468894958, 0.1917208582162857, 1.394174575805664, 0.8331756591796875, -0.477566659450531, 0.06568138301372528, 0.5865746736526489, -1.0599043369293213, 0.8802770376205444, -1.1700838804244995, -0.0614352710545063, -0.013476722873747349, -0.36881357431411743, -1.2840267419815063, 0.15623024106025696, 1.8942599296569824, -1.1189155578613281, -0.29475051164627075, -0.4050052762031555, -0.42899903655052185, -0.04153349623084068, -0.1828296184539795, -0.7572426199913025, 0.7938605546951294, -1.7664556503295898, -0.15018770098686218, 0.0744359940290451, 0.09415341168642044, -0.35261330008506775, 0.3753715455532074, 0.3120613098144531, -1.3286577463150024, -1.2532856464385986, -0.5245858430862427, -0.5961847305297852, -0.29249706864356995, -0.9100745916366577, 0.9892019033432007, -0.07555638998746872, 0.08829203248023987, -0.1042429506778717, 0.33633896708488464, -0.06827206909656525, -0.2577957808971405, -0.15723614394664764, 2.992033004760742, 0.9872505068778992, 0.035071831196546555, -0.9183881282806396, -0.1820504069328308, -0.3145170509815216, -0.9335107207298279, -0.17234061658382416, -1.100633144378662, 0.27680039405822754, 0.5692945718765259, -0.27531924843788147, 1.5072957277297974, 0.2550199329853058, 0.621669352054596, -0.5958545804023743, -0.6445110440254211, 0.08007792383432388, 1.5017478466033936, -0.45643892884254456, -0.47578009963035583, 0.4784524440765381, -0.31959840655326843, -1.1921762228012085, -0.06826294958591461, -0.890491783618927, -0.055309753865003586, -0.40047577023506165, -0.7229533791542053, -0.4719755947589874, -0.07984641194343567, -0.1543266475200653, -0.21298372745513916, -1.1036714315414429, -0.37976786494255066, 0.878133237361908, -0.4692748188972473, -0.34338733553886414, -0.32582196593284607, -0.7193208336830139, 0.06632377952337265, -0.9793279767036438, -0.3503069579601288, -0.7497981190681458, 1.2717430591583252, -0.9256037473678589, -0.32472920417785645, 0.2825957238674164, -0.5205516219139099, -1.2934616804122925, -0.5379163026809692, 1.1206908226013184, -0.9351595044136047, -0.22220410406589508, 0.10849322378635406, 0.869769811630249, -0.2391074001789093, 0.45814600586891174, -0.20317859947681427, -0.09372852742671967, -0.14805397391319275, 1.2752819061279297, 0.6283276081085205, 0.15829813480377197, -1.29926335811615, 0.031864166259765625, 0.10934367030858994, 1.373672366142273, -0.29035207629203796, 0.07730872184038162, 0.0596122182905674, 0.027233675122261047, -1.8982889652252197, 0.15990515053272247, 0.04427926614880562, -0.35366639494895935, -0.7112152576446533, -1.0575666427612305, 1.1265089511871338, 1.3633049726486206, -1.7114790678024292, 0.2859373092651367, -0.7893638610839844, -0.1730555295944214, 0.6547889709472656, 0.2404058277606964, 0.2096163034439087, 0.43422481417655945, 0.7352054715156555, -1.1926710605621338, 1.2799865007400513, 0.8400472402572632, -0.20032936334609985, 0.7724004983901978, 1.3683720827102661, 1.3493438959121704, 0.8484843969345093, 0.3865860402584076, -0.30715399980545044, -0.28687310218811035, -1.1338849067687988, -1.2555060386657715, 1.032362937927246, -1.456738829612732, -1.1687058210372925, 0.007981471717357635, 1.3935784101486206, 0.5418904423713684, 0.08919306844472885, -0.48549145460128784, -0.1205521896481514, 1.3806086778640747, -0.3493334949016571, -0.4485768973827362, 0.7012078762054443, 0.6748233437538147, -1.0350673198699951, 0.10196332633495331, 0.5729244947433472, 0.24397419393062592, -0.13883043825626373, 0.24067871272563934, -0.5678514838218689, -0.45296710729599, 0.413129061460495, -1.0350927114486694, 0.7692742943763733, 1.0301672220230103, 0.7946159839630127, -1.4283111095428467, 0.1720263808965683, -0.5004034638404846, -0.5720726847648621, -1.5912812948226929, 1.0407142639160156, 0.382540225982666, 1.053210735321045, -0.2787219285964966, 0.15671378374099731, 0.18296147882938385, -0.03933835029602051, -0.6240096092224121, -1.688152551651001, -0.16790106892585754, 0.3188703954219818, 0.16334959864616394, -0.0853612869977951, 0.3149166405200958, -1.6827118396759033, 0.4749552607536316, -0.4326092600822449, 0.4177842140197754, -0.9744913578033447, 1.0619111061096191, 0.4063948690891266, 0.8702178001403809, -0.32322970032691956, -0.7538629770278931, -0.1593061238527298, 0.525577187538147, 0.9619815349578857, 0.15438440442085266, 0.10822929441928864, -0.602022647857666, -1.1579458713531494, -0.9903087019920349, 0.8240518569946289, -0.19525106251239777, -0.23469406366348267, -0.5024569630622864, 0.39456653594970703, -1.1703473329544067, -0.4806749224662781, 0.09989086538553238, -0.6161935329437256, 0.29549339413642883, 1.181739091873169, -0.2506520450115204, 0.08428624272346497, 0.523401141166687, -0.7437376379966736, -0.18044601380825043, 0.526006281375885, 0.9210044145584106, -0.32555365562438965, 0.9494668245315552, 0.2978098690509796, -0.039958663284778595, 0.35186049342155457, -0.27161914110183716, 0.5092813968658447, -0.5013649463653564, -1.0740472078323364, 0.9309759736061096, -0.1582319438457489, 1.33303964138031, -0.9019841551780701, -0.20210127532482147, 1.1477552652359009, -1.4039262533187866, -0.28054487705230713, -0.5997504591941833, -0.8240985870361328, -0.14971527457237244, 0.05258093774318695, 1.2230889797210693, -0.04260530695319176, 1.3459293842315674, -0.013508361764252186, 2.030817985534668, 0.8446615934371948, -0.16459780931472778, 0.19987159967422485, -0.5697283148765564, 0.42053985595703125, 0.8211048245429993, -0.6345003247261047, -1.8167062997817993, 1.1725170612335205, -0.7640302777290344, -0.21618250012397766, -0.6384403109550476, -1.0499736070632935, -0.8511800765991211, -0.43787822127342224, 0.4816782772541046, -0.23093746602535248, -0.3384559452533722, -0.29980960488319397, 0.08622952550649643, 0.7467957139015198, 0.45563197135925293, 0.5948307514190674, -0.6778550744056702, 0.6878224015235901, -1.3955997228622437, 0.2710406184196472, 0.15440744161605835, -0.2554548382759094, -0.2583681643009186, -0.5873351097106934, 0.6316671371459961, 0.7365972399711609, -0.008044815622270107, -1.1963717937469482, 0.792539656162262, -2.3167052268981934, 1.2466760873794556, 0.9201833605766296, 0.0842747911810875, -0.1973143219947815, 0.23996606469154358, 0.06828033924102783, 0.5573307871818542, -0.14072206616401672, -0.14434365928173065, -0.5247321128845215, -0.711799144744873, 1.2617402076721191, -0.01829087920486927, -0.38626742362976074, -0.6215742826461792, -0.3233642876148224, 0.5765872001647949, -0.13594026863574982, -0.26391929388046265, 1.5326931476593018, -0.5650302767753601, -0.15576131641864777, 1.1263267993927002, -0.3560224771499634, 0.9263513684272766, -0.3433215320110321, 0.11014805734157562, -0.4889451861381531, 1.2184784412384033, 0.5697866678237915, -0.42136096954345703, 0.114170603454113, -1.0241236686706543, 0.5374226570129395, 0.2996116876602173, -0.2930256724357605, -1.8059775829315186, 0.5713666081428528, -7.022440433502197, 0.07687677443027496, 0.25569185614585876, -0.0027052853256464005, -0.24819299578666687, 0.915801465511322, -0.6244907975196838, -1.2142466306686401, 0.2036518007516861, 1.8311208486557007, 0.7848455309867859, -0.4680158495903015, -0.08612870424985886, -0.23742122948169708, -0.27059677243232727, -0.32719552516937256, -0.4380507469177246, 1.185274362564087, -1.332126259803772, 0.3374785780906677, 0.372078001499176, 0.4256666600704193, -0.06670273840427399, 0.8873134255409241, 2.3087778091430664, -0.2763889729976654, -1.4043231010437012, -0.3630301058292389, -0.13414616882801056, 0.42326050996780396, 0.02619931846857071, -1.1672756671905518, 0.4512775242328644, 0.1558169424533844, 0.08624488860368729, 0.7244957685470581, -0.03250786289572716, -0.4989006221294403, -0.2804461717605591, -0.36437833309173584, -0.011751502752304077, 0.060333386063575745, -0.09779055416584015, -0.8370305299758911, -1.1229761838912964, 1.0499348640441895, -0.27674242854118347, 0.0789957046508789, 0.2431582361459732, -0.7829236388206482, -0.4340011477470398, 1.450350284576416, 0.119290791451931, -1.2603689432144165, 0.6889427304267883, 0.2530360817909241, 0.34970515966415405, -0.5759105682373047, -0.618537187576294, 0.27089324593544006, -1.460005521774292, -1.3490898609161377, 0.9381148219108582, 0.4943389296531677, -0.930204451084137, -0.3815367817878723, -0.3239336311817169, -1.126677393913269, -0.11239467561244965, -0.2467932105064392, -1.1339397430419922, 1.1260294914245605, -0.38838550448417664, -0.2747143805027008, -0.7248697280883789, -0.34643080830574036, -0.5867953300476074, 0.5338120460510254, -1.4282172918319702, 0.30293795466423035, 0.21878781914710999, -0.5493012070655823, -0.6081704497337341, 0.3823659121990204, -0.09579861164093018, -0.09866885840892792, 0.31346848607063293, 1.905979037284851, 0.40055155754089355, 0.7377775311470032, 0.33322158455848694, 0.28126126527786255, -0.6897144317626953, -0.5973796248435974, -0.9220401048660278, -0.3959479331970215, -0.3814144730567932, -0.26977601647377014, -0.8243874311447144, 0.2895619571208954, -0.3844791650772095, 1.2982566356658936, 1.1171164512634277, 0.17321744561195374, 0.7113313674926758, -0.6728760004043579, -0.6707550883293152, 0.42873573303222656, 0.19180278480052948, -0.7664956450462341, 0.6683360934257507, 0.100193552672863, -0.6485352516174316, 0.13608460128307343, 0.39347103238105774, 0.5830663442611694, -0.4956909120082855, -0.1848236322402954, -0.4005831778049469, 0.40375521779060364, 0.6506766080856323, -0.5282874703407288, 0.37473800778388977, -0.19566604495048523, 0.24706493318080902, 0.8823196887969971, -1.2929954528808594, 0.6446135640144348, 0.12241655588150024, -0.5348874926567078, -0.14967447519302368, 0.768065869808197, -0.8727379441261292, 0.44684088230133057, 0.1499958038330078, -0.4080868661403656, 0.277670681476593, 0.16919630765914917, -0.5995500087738037, -0.1200290247797966, 0.4234601855278015, -0.9824559092521667, 0.34560710191726685, 1.334848403930664, 0.5095633864402771, -0.12899459898471832, -1.1224578619003296, 0.5542349219322205, -0.5502956509590149, -0.9274846315383911, 0.8926375508308411, -0.4206335246562958, 0.7580682635307312, -1.3834002017974854, -0.5557730793952942, -0.07369919121265411, 0.06816191971302032, -1.4142733812332153, -0.7194920182228088, -0.5152973532676697, 1.077778935432434, -0.8624858856201172, 1.3510582447052002, 0.937094509601593, 0.5941829085350037, -0.49400609731674194, 0.35920828580856323, 0.3656059801578522, -1.2381685972213745, -0.6052393913269043, 0.009511537849903107, 0.17588721215724945, 0.5897077918052673, -0.04807369038462639, 0.5283668041229248, 1.0917829275131226, -0.6447149515151978, 0.9440282583236694, -0.08008579164743423, -2.6459414958953857, 0.8198590874671936, -0.5593011379241943, 0.24093817174434662, -0.5866531133651733, -0.4735516905784607, 1.5981311798095703, -0.6465330719947815, 0.6921780109405518, 0.08328220993280411, 1.2718849182128906, -0.06686090677976608, -0.8094881176948547, -0.0822666734457016, -0.5642995834350586, -0.1166502833366394, 0.04606320708990097, 0.009186065755784512, -0.15701819956302643, -1.454588532447815, 0.10884913802146912, -0.7528528571128845, -0.7667059302330017, -1.1706101894378662, -0.27834251523017883, -0.10226345807313919, 0.05701066553592682, -0.8727835416793823, -0.6099923849105835, 0.391444593667984, -0.7099612355232239, 1.24968683719635, 0.08395666629076004 ]
129
0704.0131
J. Johansson
J.X. Zheng-Johansson
Vacuum Structure and Potential
8 pages, 2 figures.
null
null
null
physics.gen-ph
null
Based on overall experimental observations, especially the pair processes, I developed a model structure of the vacuum along with a basic-particle formation scheme begun in 2000 (with collaborator P-I Johansson). The model consists in that the vacuum is, briefly, filled of neutral but polarizable vacuuons, consisting each of a p-vaculeon and n- vaculeon of charges $+e$ and $-e$ of zero rest masses but with spin motions, assumed interacting each other with a Coulomb force. The model has been introduced in full in a book (Nova Sci, 2005) and referred to in a number of journal/E-print papers. I outline in this easier accessible paper the detailed derivation of the model and a corresponding quantitative determination of the vacuuon size.
[ { "created": "Mon, 2 Apr 2007 06:41:44 GMT", "version": "v1" } ]
2007-05-23
[ [ "Zheng-Johansson", "J. X.", "" ] ]
07
[ -0.29661428928375244, -0.1539088934659958, -0.3488530218601227, -0.06124459579586983, -0.2680486738681793, -0.10152372717857361, 0.5772250890731812, 0.6697985529899597, 0.4035758376121521, -1.0707780122756958, -0.48327550292015076, 0.403591513633728, 0.5225614905357361, 1.3757797479629517, -1.420920491218567, -0.3474830389022827, -0.3819642961025238, -0.25453853607177734, 0.5845971703529358, 0.5990304350852966, -0.1609305739402771, -0.6921157240867615, -0.3349325358867645, -0.4539227783679962, 0.03628339618444443, 0.25410720705986023, 0.6132990717887878, 0.6310816407203674, -1.7409164905548096, -0.29902687668800354, -0.6462714076042175, 0.18413859605789185, -0.6158924102783203, 1.305732011795044, 0.5948675870895386, -0.13196596503257751, 0.5182183384895325, -1.7851260900497437, -0.3716106712818146, 0.5763998031616211, -1.0420265197753906, 0.8260870575904846, -0.5315833687782288, 0.9242733120918274, -1.4280449151992798, -0.3579164445400238, 0.2695953845977783, 0.40207192301750183, -0.9310848116874695, -0.5599545240402222, 0.4544617533683777, -0.027592336758971214, 0.28830215334892273, -0.2847330570220947, 0.14280064404010773, 0.9991518259048462, -0.29397881031036377, 0.6135335564613342, -0.07706047594547272, 0.6621872782707214, -0.10520142316818237, -0.5409570932388306, 0.3369620144367218, 1.1659051179885864, -0.13499438762664795, -0.21678180992603302, 1.275610089302063, -1.349770188331604, 1.141391396522522, -0.23273764550685883, -0.35691922903060913, 0.49925827980041504, -0.1256820410490036, -0.06400986760854721, -0.756455659866333, -0.5062262415885925, -0.0012133922427892685, -1.1142609119415283, -0.8965296745300293, -0.18713894486427307, 0.15907572209835052, 0.11042223870754242, -0.7311862111091614, -0.9534682035446167, 0.21469295024871826, 0.5576590895652771, -1.098287582397461, -0.4963005483150482, 0.33954036235809326, 0.41951748728752136, -0.7275827527046204, -1.1014918088912964, 0.44371068477630615, 0.975918173789978, 1.3110949993133545, -0.6807268857955933, -0.44333508610725403, 0.7870747447013855, -0.25303930044174194, 0.5292338728904724, 0.8672007918357849, 0.4096525013446808, -0.44031763076782227, -0.8494699001312256, -0.9242072105407715, 0.6282382607460022, -1.2824711799621582, 0.404979944229126, 0.2701389193534851, 0.4260958433151245, 0.05997728928923607, -1.101671814918518, -0.826401948928833, -1.4184287786483765, -0.7142750024795532, 0.11252827942371368, 1.0404667854309082, -0.6261914372444153, 0.3147859573364258, 0.18853376805782318, -0.13580037653446198, 0.2179630696773529, -0.30992642045021057, -0.0981174036860466, 1.5377860069274902, -0.3888138234615326, -0.058877430856227875, -0.12070714682340622, 0.598241925239563, -0.6036105751991272, 0.2670656740665436, -0.6163218021392822, -1.0264527797698975, 0.8767858743667603, -1.586372971534729, -0.7087689638137817, 0.18773241341114044, -0.7600797414779663, 1.3813344240188599, -1.177361011505127, 0.5751153826713562, -0.12825171649456024, -0.5349798202514648, -0.8061012625694275, -0.5427875518798828, 0.13371621072292328, -0.7917018532752991, -0.5917275547981262, 0.937120258808136, -0.12560707330703735, -0.6349724531173706, -1.0633505582809448, -0.6937914490699768, -0.20334754884243011, 0.22940345108509064, 0.28307685256004333, 0.40266960859298706, -0.239076629281044, -0.36637791991233826, 1.2464237213134766, 0.5513451099395752, -0.24723154306411743, -0.6166747212409973, -0.9354048371315002, 0.7176533937454224, 0.3999805152416229, 0.009138925932347775, 0.33097898960113525, -0.21321634948253632, 0.42999860644340515, -1.3551843166351318, 0.3964116871356964, -0.5510446429252625, 0.3987673223018646, 0.788898766040802, -0.3498450815677643, -0.28214868903160095, -0.9522614479064941, -1.9689949750900269, -0.7768722772598267, 0.042376596480607986, -0.6320159435272217, 0.4447435140609741, -1.1214122772216797, -0.10857201367616653, -0.33036354184150696, -0.09865715354681015, -1.4058442115783691, 0.5553197264671326, -0.44892454147338867, -1.3748008012771606, -0.48776155710220337, -1.0698739290237427, 1.5326142311096191, -0.5285471677780151, -0.06121854856610298, 0.7986230254173279, 0.32877159118652344, -0.025518620386719704, 0.2181965857744217, 0.7942039966583252, 0.6424640417098999, 0.34420904517173767, 0.7004199028015137, 0.4064888060092926, 1.0925354957580566, 0.9957851767539978, 1.0031929016113281, -1.0480045080184937, -0.46676725149154663, -0.9938502907752991, -0.4643552899360657, -0.276164710521698, -0.724940299987793, 0.8897015452384949, 0.10454864799976349, 0.9842432141304016, 0.284213662147522, 0.4097748398780823, 0.6739681363105774, 0.11088744550943375, 0.2044331133365631, 0.728088915348053, 0.1691131442785263, -0.4640144407749176, 0.17746616899967194, 1.157979130744934, 0.1953018307685852, -0.0556798093020916, -0.3509281873703003, -0.8707374334335327, 0.1403896063566208, 1.3122326135635376, -0.06328307837247849, 0.46579205989837646, 0.6685242652893066, -0.9428465366363525, 0.0790562853217125, -1.4162412881851196, -1.0686626434326172, 0.36776140332221985, 1.2681514024734497, -0.19861021637916565, -0.8569026589393616, 0.06590983271598816, -0.3192936182022095, -0.03242845460772514, 0.05746543034911156, 0.5158777236938477, -0.3667221963405609, 0.3945198059082031, -0.2992766201496124, 0.6540970206260681, -0.967518150806427, -0.01674358919262886, -0.9237530827522278, 0.5985687375068665, -1.1077537536621094, -1.1224844455718994, 0.09864714741706848, -0.48909327387809753, 0.12545441091060638, -0.915149986743927, -1.420630931854248, 0.8231198191642761, -0.1877640336751938, 0.7828032970428467, 0.06115967780351639, 0.5195080041885376, 0.24777483940124512, -0.6569170355796814, 0.19114121794700623, 1.1255640983581543, -0.5432978272438049, -0.5759298205375671, -0.5153322219848633, -0.2063903510570526, -0.17789794504642487, -1.4988830089569092, -0.46209123730659485, -0.6633244752883911, 1.0761899948120117, 0.4177000820636749, 0.785588264465332, 0.17532792687416077, -0.4199065566062927, 0.3284135162830353, -1.3613756895065308, -0.6797094941139221, 0.4079172909259796, -0.029111813753843307, -0.5109984874725342, -0.3692822754383087, -1.0019795894622803, 0.8492463827133179, -1.286338448524475, 0.503303587436676, -0.7429600358009338, 0.8242594599723816, -0.6662430167198181, -0.8874932527542114, 0.7224659323692322, 0.40119698643684387, -0.12326829880475998, 1.0817006826400757, 0.04295368492603302, -0.18582162261009216, -0.40672415494918823, 0.37420737743377686, -0.6633853912353516, 0.29545149207115173, 0.3370252549648285, -0.5879755616188049, -0.14441241323947906, 0.017927823588252068, -0.8087670803070068, 0.02734408527612686, -0.10105150938034058, -0.5243135690689087, -0.9233163595199585, -0.20832882821559906, 0.8612948656082153, 0.17567358911037445, 0.707528293132782, -0.7460792064666748, 0.21510213613510132, -0.8915398716926575, -0.6862360835075378, 0.9183268547058105, -0.9373375773429871, -0.17052486538887024, 1.357120156288147, 0.6428631544113159, 0.9104956984519958, -1.122481107711792, -0.036669228225946426, 0.37811344861984253, 0.8177246451377869, 0.8914200663566589, 0.1531970202922821, -1.2585527896881104, 0.5222579836845398, 0.5016234517097473, -0.08507383614778519, -0.15309643745422363, -0.34613922238349915, -0.8241692185401917, -0.4153521955013275, -0.7823663353919983, 0.045634519308805466, -0.7120895385742188, -0.1011405736207962, 0.07648774236440659, 0.2593684196472168, 0.22533658146858215, -1.1395316123962402, 0.45448437333106995, -0.08942972123622894, -0.30907556414604187, 0.18065132200717926, 0.19985589385032654, 0.6425089836120605, -0.03522280603647232, -0.6881495714187622, 0.3723744750022888, -0.3191564977169037, -0.5355750918388367, 0.14846286177635193, -0.5240960121154785, -0.025715194642543793, -0.028626635670661926, -0.19250905513763428, 0.16938315331935883, -0.8369995355606079, -0.4082072973251343, 0.5620912313461304, 0.5943031907081604, 0.547014594078064, -0.29292240738868713, 0.39275267720222473, 0.21360832452774048, 0.9487691521644592, -0.33705857396125793, 1.3466497659683228, 0.20724418759346008, 0.9131611585617065, -1.2015676498413086, -0.8420976400375366, -0.19818320870399475, 0.1831824779510498, -0.9594226479530334, -0.6264171004295349, -0.3043356239795685, -0.8543879389762878, -0.1708056777715683, -0.7815054655075073, -1.1029776334762573, -0.18716055154800415, 1.646380066871643, 0.6145517230033875, 0.426688551902771, 0.46670764684677124, 0.06907416880130768, 0.11169768124818802, -0.8728042840957642, -0.38917815685272217, 0.7442149519920349, -0.2690817713737488, -0.027254626154899597, -0.9316035509109497, -0.25295835733413696, 0.34581971168518066, -0.6878347992897034, -0.03728170692920685, 0.5298064947128296, -0.5624528527259827, 0.008714571595191956, 0.6095256805419922, -0.5474137663841248, -0.5322695970535278, 0.4998389184474945, -1.1118584871292114, 0.218134343624115, 0.18437492847442627, 0.07093504816293716, -1.4825115203857422, -0.6088582277297974, -0.6191763281822205, 0.3545786440372467, -0.22453466057777405, -0.7360818386077881, -0.18072454631328583, 0.23038463294506073, -0.1953398734331131, -0.8694353699684143, -0.3529086709022522, -0.0964876040816307, -0.09895026683807373, 0.020366566255688667, -0.9422386288642883, 1.6945631504058838, -0.9851601719856262, 0.1936890035867691, -0.8439092040061951, 0.605385959148407, 0.029439901933073997, -0.519415557384491, 1.326786994934082, 1.0293904542922974, -0.034796711057424545, -0.0955280214548111, -0.6670635342597961, -0.18289940059185028, -0.03266533464193344, -0.13144801557064056, 0.5635225772857666, -0.009055177681148052, 0.8549787998199463, 0.26763156056404114, 1.0162380933761597, 0.27518430352211, 0.2557743489742279, 0.02401404269039631, 0.19614124298095703, -0.29224860668182373, -0.11918837577104568, 1.1170462369918823, -1.0832799673080444, -1.0367172956466675, 0.08713984489440918, 0.548315167427063, 0.37219101190567017, 0.11977209150791168, 0.13783514499664307, -0.3236905634403229, -0.14309832453727722, 2.4389801025390625, -0.1052858754992485, 1.0406999588012695, -0.44212913513183594, 0.07473726570606232, 1.06973397731781, -0.31987297534942627, -0.4995172917842865, 0.19853436946868896, 0.5725836157798767, 0.010051626712083817, 0.3431411683559418, -0.3719922602176666, 0.47809556126594543, 0.6063786745071411, -1.2642605304718018, -1.7393144369125366, 0.16140350699424744, 0.03387316316366196, -0.0641542449593544, -0.6151391863822937, -0.31542226672172546, -0.9298718571662903, -0.12834672629833221, 0.6088086366653442, -0.3750826418399811, 1.502929925918579, -0.04708205536007881, -1.281637191772461, 0.3995981514453888, -0.3323046565055847, 1.3837350606918335, -0.7547673583030701, -0.4996405243873596, -0.03146965429186821, -1.1324323415756226, 0.8603540062904358, 0.6987528800964355, 0.7716311812400818, -0.6673403382301331, -0.2769029438495636, -2.91744065284729, -0.8162218928337097, -0.24358515441417694, 1.3335601091384888, -0.7214633226394653, 0.26606491208076477, 0.5467810034751892, 0.9152495861053467, 0.8381433486938477, 0.863294243812561, 0.01169686671346426, 0.43885502219200134, 1.1242121458053589, 0.50633305311203, 0.7704226970672607, -0.18163390457630157, -1.7803006172180176, -1.2375174760818481, -0.2058693915605545, -0.14406323432922363, -0.7037292122840881, -0.39932551980018616, -0.7481719255447388, 0.37316790223121643, 1.5799531936645508, -2.4496681690216064, -0.7304357886314392, -0.0912952795624733, 0.40691739320755005, 0.29476702213287354, 0.3382202088832855, 0.9039816856384277, 0.25559917092323303, -0.3447466492652893, 0.10653110593557358, 0.36683088541030884, 0.582855224609375, 0.5643015503883362, -0.38963648676872253, -8.964383125305176, -0.39339783787727356, -0.8711053729057312, -0.030491240322589874, 0.09555722773075104, -0.7576930522918701, -0.31999489665031433, -0.40101081132888794, 0.24165062606334686, -0.26745450496673584, -1.0873709917068481, -0.05742233991622925, 0.7709833979606628, -0.020806027576327324, 1.385189414024353, -0.6317595839500427, 0.18819768726825714, 0.5036287307739258, -1.239725112915039, 0.4864198565483093, -0.5309349894523621, 1.4510390758514404, 0.09527028352022171, -0.03714245930314064, 0.9941639304161072, -0.5744518041610718, 0.025793448090553284, 0.6895018815994263, 0.9483349919319153, 0.7788980007171631, 0.11819172650575638, 0.9491720199584961, 0.1168150007724762, 0.3789457380771637, 0.3008914589881897, -0.15616022050380707, -1.1034936904907227, -0.5395159721374512, 0.5048922300338745, -0.8472397923469543, -0.26230812072753906, 0.377391517162323, -0.09035399556159973, 0.5318456888198853, 0.7225585579872131, 0.9824506044387817, 0.45871490240097046, 0.5060981512069702, -1.1204620599746704, -0.55594801902771, -1.2003930807113647, -0.21853908896446228, -0.7764674425125122, 0.6537259221076965, 0.7546372413635254, 0.5852203965187073, 0.5596047043800354, -0.7780843377113342, -0.11364378780126572, -0.6250894069671631, 0.7705260515213013, -0.9240304827690125, -0.5019174814224243, 0.13329461216926575, -0.29547521471977234, -1.293981671333313, 0.5534653067588806, 0.17612817883491516, 0.18869450688362122, 1.5444529056549072, -0.8353551030158997, -0.39599958062171936, 0.021837394684553146, 0.10359678417444229, -0.23170168697834015, 0.46587035059928894, 0.008061551488935947, 0.6238539218902588, 0.14474160969257355, 0.9462223649024963, 0.5300943851470947, -1.1752434968948364, -0.5626587271690369, -0.310681015253067, -0.1828514039516449, -0.4789108335971832, -0.18043796718120575, 0.8316320180892944, 0.308424711227417, -0.2801593840122223, 0.33803436160087585, 0.9553287029266357, -0.8619661331176758, -0.06371637433767319, -0.6014289855957031, -0.523012638092041, 0.11879979819059372, -0.715575635433197, -0.3077680766582489, -0.03525230661034584, -0.8230268359184265, -0.27577894926071167, 1.1674362421035767, -0.09530719369649887, 0.5991184115409851, 0.175441175699234, -0.5315733551979065, 0.7664292454719543, -1.1666386127471924, -0.46827933192253113, 0.6384929418563843, -0.6562514305114746, -0.22467051446437836, -0.5787253379821777, -0.35905158519744873, 0.20022770762443542, 0.48765453696250916, 1.199981927871704, -0.6397819519042969, -0.2514216899871826, -0.49247658252716064, -0.16035772860050201, 0.1169382780790329, -1.5611683130264282, 0.6291302442550659, -0.21160627901554108, 0.6059542894363403, -0.8054609894752502, -1.9170206785202026, 0.043568506836891174, 0.08715669810771942, 0.4972596764564514, -0.21726615726947784, -0.6820483803749084, 0.09446610510349274, -0.2815575897693634, -0.7779657244682312, 0.32190605998039246, -0.9042689204216003, 0.4217517673969269, 1.3169504404067993, -0.06298572570085526, 1.1756970882415771, -0.6260713934898376, 0.6018247008323669, -1.0231149196624756, -0.6820707321166992, 1.589877724647522, -0.24592965841293335, -0.3343313932418823, 0.4001748859882355, 1.2799285650253296, 1.7926884889602661, 1.1146504878997803, -0.2898181676864624, -0.24107053875923157, -0.13445155322551727, 0.0010563581017777324, 0.29930198192596436, -0.6851149201393127, 0.4452953040599823, -0.10829189419746399, -0.4951149821281433, 1.384353756904602, -0.8163905143737793, -0.17394597828388214, -0.41205522418022156, 0.21734833717346191, 0.4966314435005188, 0.06702738255262375, 0.05161559581756592, -0.2098969668149948, -0.8097249269485474, -0.6130325794219971, 0.9810185432434082, 0.8574762940406799, 0.20553439855575562, -0.9249417781829834, -0.44915345311164856, -1.1786210536956787, 0.6699336171150208, 1.7167412042617798, 0.5157119631767273, -0.12894529104232788, 0.39178410172462463, 2.213290214538574, -0.14322520792484283, 0.47359561920166016, -0.17631550133228302, 0.5353673100471497, -0.22805409133434296, -0.21290498971939087, 0.6237285733222961, -0.2455376833677292, -1.2373427152633667, 0.5071854591369629, -0.061195217072963715, 0.8472285866737366, 0.07587880641222, 1.2582391500473022, -1.0282013416290283, 0.7078269124031067, 0.5623440742492676, 0.6234076619148254, -0.33081868290901184, 0.6618666648864746, 0.47204482555389404, -0.35396507382392883, 0.23018842935562134, 0.057494018226861954, 0.44164809584617615, -0.1655636578798294 ]
130
0704.0132
Vadim S. Khrapai
V.S. Khrapai, S. Ludwig, J.P. Kotthaus, H.P. Tranitz, W. Wegscheider
Counterflow of electrons in two isolated quantum point contacts
as published
Phys. Rev. Lett. 99, 096803 (2007)
10.1103/PhysRevLett.99.096803
null
cond-mat.mes-hall
null
We study the interaction between two adjacent but electrically isolated quantum point contacts (QPCs). At high enough source-drain bias on one QPC, the drive QPC, we detect a finite electric current in the second, unbiased, detector QPC. The current generated at the detector QPC always flows in the opposite direction than the current of the drive QPC. The generated current is maximal, if the detector QPC is tuned to a transition region between its quantized conductance plateaus and the drive QPC is almost pinched-off. We interpret this counterflow phenomenon in terms of an asymmetric phonon-induced excitation of electrons in the leads of the detector QPC.
[ { "created": "Mon, 2 Apr 2007 08:26:41 GMT", "version": "v1" }, { "created": "Mon, 3 Sep 2007 05:13:33 GMT", "version": "v2" } ]
2007-09-03
[ [ "Khrapai", "V. S.", "" ], [ "Ludwig", "S.", "" ], [ "Kotthaus", "J. P.", "" ], [ "Tranitz", "H. P.", "" ], [ "Wegscheider", "W.", "" ] ]
07
[ 0.5055527091026306, -0.6946489214897156, 0.5149519443511963, -0.42491304874420166, -0.4853998124599457, 0.1575320065021515, 0.1235126182436943, -0.08042491972446442, -0.3192139267921448, 0.7985900044441223, -0.6274799108505249, -0.2106073796749115, 0.9904712438583374, 1.4430524110794067, -0.8970983028411865, -1.106834888458252, 1.5791175365447998, -0.635350227355957, 0.580272912979126, 0.36946919560432434, -0.468650221824646, 0.8081254363059998, -0.04073263704776764, -0.27584734559059143, -0.13496357202529907, 0.024828307330608368, -0.06369888782501221, 1.2649646997451782, -1.2596739530563354, 0.7095121741294861, 0.5179054141044617, 0.5206331014633179, 0.17603901028633118, -0.3294082283973694, 0.9976575970649719, 0.030220214277505875, 0.44257038831710815, -0.8359882831573486, -0.5491170287132263, -0.17278803884983063, 0.013401624746620655, -0.20571067929267883, -0.8505721092224121, 1.0638328790664673, -1.605135440826416, 0.8898752331733704, 0.3848188817501068, 0.5407039523124695, 0.09051206707954407, 1.2407069206237793, 0.044633280485868454, -0.15443331003189087, 1.3269387483596802, -0.885024905204773, 0.950891375541687, 0.5618141889572144, -0.0632118433713913, 1.1849620342254639, 0.07526390999555588, -1.0892583131790161, -0.22890251874923706, -0.03421935811638832, 0.42622196674346924, -0.8061533570289612, 0.1742282509803772, 0.2836056351661682, 0.9645744562149048, 0.6414862275123596, 0.41107767820358276, 0.6376513838768005, 0.5782049298286438, 0.15900446474552155, -0.20301374793052673, -0.6270738244056702, 0.4428645372390747, -0.5546147227287292, -0.01080282311886549, -0.35431307554244995, 0.20043087005615234, 1.013504147529602, 0.4182421565055847, 1.9973469972610474, 0.279623419046402, -1.8665193319320679, 0.34347373247146606, 0.29801806807518005, -0.13660742342472076, -0.7439708709716797, 0.18191984295845032, 0.38108155131340027, 0.9681490659713745, 0.1434369832277298, 0.29276904463768005, 0.3246934711933136, -0.3867121934890747, -0.9860730171203613, -0.21714439988136292, -1.4665439128875732, 0.22974757850170135, -0.6436013579368591, -0.1341840773820877, 0.5588002800941467, 0.4071256220340729, -0.38766416907310486, -0.5688943266868591, 0.8396251797676086, -0.5594242811203003, 0.20767323672771454, -0.3558880090713501, 0.21173997223377228, 0.33467134833335876, -0.841476559638977, -0.8139097690582275, 0.15026693046092987, -0.27544885873794556, 1.6275995969772339, 0.002374845091253519, -0.3577817976474762, -0.7458658814430237, -0.5064762830734253, -0.316495805978775, 0.706489086151123, -0.09758832305669785, 0.7438091039657593, 0.0734817385673523, 0.5284461379051208, -0.8701810240745544, -0.46686556935310364, 0.42903846502304077, -1.4877744913101196, -0.7963083982467651, 0.03134944662451744, -0.30635958909988403, 0.9207869172096252, -0.9297741651535034, -0.2922973334789276, -0.9526627063751221, 0.3599589467048645, 0.5559871196746826, 0.234980046749115, -0.8518686890602112, 0.35298267006874084, -0.7706526517868042, -0.5406875014305115, 0.12927338480949402, -0.6911394000053406, -0.8223339915275574, 0.502642035484314, 1.1631758213043213, 0.8335058689117432, 0.25441357493400574, -0.5324181318283081, -0.8560023307800293, -0.7970578670501709, 0.4361934959888458, 0.4800834357738495, 1.3337141275405884, 0.3897169530391693, -1.5986052751541138, 0.20605264604091644, -0.2687893807888031, 0.8974519371986389, 0.6745554208755493, -0.8455914855003357, 0.40102142095565796, 0.6457641124725342, 0.057803161442279816, 0.8367306590080261, -0.43466171622276306, 0.06765037029981613, 0.5137233138084412, -0.4362303912639618, -1.514480710029602, 0.17542050778865814, -1.0809581279754639, 0.34865450859069824, 1.1882497072219849, 0.6843773126602173, 0.0695379301905632, 0.6588078141212463, -0.42271170020103455, -0.9118003845214844, -1.0709620714187622, 0.13716094195842743, -0.18012738227844238, -0.5536900758743286, 1.526134967803955, -0.397524893283844, -0.286435604095459, 0.9422550797462463, -0.8201466202735901, 0.22078877687454224, -1.6229588985443115, 0.9719122052192688, 0.09653372317552567, 0.5720240473747253, 0.8539435863494873, 0.5308332443237305, -0.4837759733200073, -0.14740237593650818, -0.28268951177597046, 0.7087254524230957, -0.06331219524145126, 0.20049834251403809, -0.1589234173297882, 0.7878634333610535, -0.23811493813991547, 0.5882685780525208, -0.6362797617912292, 0.34842339158058167, -0.9777773022651672, -1.3263254165649414, -0.23211786150932312, 0.47388553619384766, 0.3195073902606964, 1.357938289642334, -0.1393980085849762, -0.8941163420677185, -0.5840352773666382, -0.28429004549980164, -0.6285892724990845, 0.8182072639465332, 0.6582894921302795, -0.29295918345451355, 0.47787272930145264, 0.562839925289154, -0.4331500232219696, 1.4106441736221313, -0.7709076404571533, -0.45523926615715027, -0.17791648209095, -0.3565528392791748, -0.17455987632274628, 1.0327837467193604, 0.5305354595184326, 0.5615593194961548, -1.6433278322219849, 0.19830676913261414, -0.6078760623931885, -0.203680619597435, -0.042705174535512924, -0.07319581508636475, -1.5372363328933716, -0.14363203942775726, -0.18386141955852509, -0.370945006608963, 0.11745081841945648, 0.16771288216114044, -1.2862390279769897, 0.24057258665561676, 0.12041289359331131, -0.12479554116725922, 0.16969071328639984, 0.217640683054924, -0.5209157466888428, -0.8322727680206299, 0.8135893940925598, -0.1733240932226181, 0.6985416412353516, 0.2707791030406952, 0.04617573320865631, 0.2580519914627075, -0.5710617303848267, 0.08773888647556305, -0.06765447556972504, -0.8192839026451111, -0.8826339840888977, -0.8372931480407715, -0.18567676842212677, -0.04774224013090134, 0.598102867603302, -0.8371616005897522, -0.6651753187179565, 0.007501541171222925, 1.3300963640213013, 0.9499431252479553, 1.030438780784607, 0.6095486879348755, -0.13991175591945648, -0.6923850178718567, -0.45072993636131287, -0.45156344771385193, -0.49349111318588257, 0.46669548749923706, -1.1808685064315796, 0.3415530025959015, 0.15434713661670685, 0.49644339084625244, -0.05189535766839981, 0.11837100237607956, -0.796951174736023, 0.5569326281547546, -0.1713762730360031, 0.5081793665885925, -0.5624348521232605, -1.6226861476898193, -1.0248116254806519, -1.7053381204605103, 0.4558134973049164, -0.45475971698760986, -0.1521245390176773, -1.1703050136566162, 0.23356123268604279, -0.32608142495155334, 0.3204585611820221, -0.1427193135023117, 0.7491897344589233, -0.50578773021698, 0.07744622975587845, 0.8266894221305847, -0.6839411854743958, -1.0085768699645996, -0.09591998159885406, -0.13226069509983063, -0.35001862049102783, 1.3100899457931519, -0.8986733555793762, -0.6239346265792847, -0.6724995970726013, -0.8854754567146301, -0.6054221391677856, -0.15757660567760468, -0.19983194768428802, 0.690451443195343, -0.4527103006839752, 0.15189388394355774, 0.7642655372619629, -0.22119879722595215, 0.8512842059135437, -0.7215441465377808, -0.18068927526474, -0.37674784660339355, 0.6322246193885803, -1.101658821105957, -0.5319358706474304, -1.263839840888977, -0.13106223940849304, -0.24000538885593414, 1.1531989574432373, -0.5386393070220947, -0.5696277618408203, 0.02500380389392376, 0.17862051725387573, 0.5744239091873169, -1.7045782804489136, -0.4251798391342163, -1.4290578365325928, 0.2426178753376007, 0.4078086018562317, -0.07675735652446747, -0.7450250387191772, 0.022881651297211647, -0.573054850101471, -0.7210469841957092, -0.1672169268131256, 0.004647761583328247, 0.6427708268165588, 0.2838652431964874, 0.09067557007074356, 0.37089064717292786, 0.018921509385108948, -0.04509967938065529, 0.21154911816120148, 0.09606866538524628, -0.2094980627298355, 0.12747882306575775, -1.2409076690673828, 1.1864782571792603, -0.2595721185207367, -0.15669910609722137, -0.7041700482368469, 1.0719804763793945, -0.04980817437171936, -0.3900930881500244, -0.45901498198509216, -1.2108384370803833, -1.6939417123794556, 0.32163283228874207, 0.4514954388141632, 0.608451783657074, 1.0434222221374512, 0.4527166187763214, 0.29495513439178467, 0.03855707868933678, -0.7889724373817444, 0.2788565158843994, -1.752925992012024, 0.5261713266372681, -0.8517670035362244, -0.39619961380958557, -1.515506386756897, 0.625959575176239, -0.18820840120315552, -0.3520658016204834, -0.6310188174247742, -0.03257417306303978, 0.37888532876968384, 1.3740885257720947, -0.11243053525686264, 1.7012704610824585, 0.1847422868013382, 0.07456250488758087, 0.2101348489522934, -0.4858461320400238, 1.1243904829025269, 0.5793367624282837, 0.8699897527694702, -0.9572601914405823, -0.9168607592582703, 0.041560690850019455, -0.5667431354522705, -0.40212568640708923, 0.57362300157547, -0.4725332260131836, 1.2633113861083984, -0.3601229190826416, 0.749043345451355, 0.4391721189022064, 0.8450678586959839, 0.12333139032125473, 1.3220036029815674, -0.1195295974612236, 0.8717963099479675, 0.8812680244445801, 0.39590275287628174, -0.32308429479599, -1.5259779691696167, 0.1554814875125885, -0.2928387224674225, -0.4062388241291046, -0.24559617042541504, 0.5285405516624451, 0.0642460286617279, -0.169938325881958, -1.7076225280761719, -0.4141283333301544, -1.210819959640503, -1.1431382894515991, -0.0018063312163576484, -0.8301551342010498, -0.29145702719688416, 0.6253020167350769, 0.8643069863319397, -1.4235939979553223, 0.5274479389190674, 0.16160257160663605, -0.6648814678192139, 0.08146486431360245, 0.7747166156768799, 0.3761802315711975, 1.0930503606796265, 0.8764917254447937, -0.8959801197052002, -0.8426986336708069, 0.05558469891548157, -1.8555480241775513, -1.676548719406128, 0.9508348107337952, 0.13683836162090302, -1.024620771408081, -1.6556267738342285, 0.31758779287338257, -0.6737878918647766, -0.5082170367240906, -0.09645786881446838, -0.12284800410270691, 0.3952522575855255, -0.2532441318035126, -0.4410122334957123, -0.873603105545044, -0.41408485174179077, -0.18882401287555695, 0.9685755968093872, 0.5050760507583618, 0.3755442202091217, -0.23121386766433716, 0.342744380235672, -0.9293550848960876, -0.0009827209869399667, 0.7850609421730042, 0.8695140480995178, -0.8468106985092163, 0.9212865233421326, -0.21387547254562378, -0.7426835894584656, 0.27889442443847656, -0.3558100461959839, -0.09072216600179672, -0.006049896124750376, 0.705973207950592, 0.18148691952228546, -0.3381555676460266, -0.7867098450660706, 0.8017594814300537, 0.4844088852405548, 0.8970537185668945, 0.8437784910202026, 0.9440560340881348, 0.497096449136734, -0.8715983629226685, 0.571526825428009, 0.8630508184432983, 0.35464248061180115, 0.24118271470069885, -0.9121360182762146, -0.3121391832828522, -0.04562557488679886, 0.49336332082748413, 0.3986055850982666, 1.155314564704895, -0.5447630286216736, 0.448470801115036, -0.43320316076278687, -0.7778358459472656, 0.9342522621154785, 0.22005249559879303, -0.2756136953830719, -2.6282222270965576, 0.4782465100288391, 0.09944862872362137, 2.371201753616333, -0.22280284762382507, -0.5075448751449585, -0.551760733127594, 0.22869978845119476, -0.3784741163253784, 0.4324931204319, -0.441992849111557, -0.24347056448459625, -0.416246235370636, 0.4437706470489502, 0.025193337351083755, 1.9042303562164307, 0.32962530851364136, 0.8598300218582153, -0.47164395451545715, -0.29899701476097107, -0.013287317007780075, -0.25542792677879333, -0.2143954485654831, -0.6832683086395264, -0.10099612176418304, -0.37532058358192444, -0.8847019076347351, -0.1856851726770401, -0.05326088145375252, 0.295269250869751, -0.5253621935844421, 0.15143391489982605, -0.5432253479957581, 1.192810297012329, -0.9131730794906616, -1.6150949001312256, 0.21215258538722992, -0.40129175782203674, -0.09426124393939972, -7.367249488830566, 0.6029831171035767, -1.0268566608428955, -1.1986141204833984, -0.15324482321739197, 1.1634780168533325, 0.012765361927449703, -0.30993685126304626, -1.2528166770935059, 0.33745187520980835, 0.1345657855272293, -0.4859465956687927, -1.326621651649475, 0.029974330216646194, -0.6375020146369934, -0.9424469470977783, 0.3933124840259552, 0.03311597555875778, -0.709982693195343, 0.8288079500198364, -2.1674020290374756, 0.9579369425773621, 0.05597459524869919, -0.7289994955062866, 0.765735924243927, -0.334465354681015, -0.9908571839332581, -0.48258352279663086, -0.4904935359954834, 0.16802912950515747, 0.6174889206886292, 2.3637707233428955, 0.06073871627449989, 0.29866984486579895, 0.5686836242675781, -0.01209824625402689, 0.03706510737538338, 0.31997933983802795, 0.6125769019126892, -2.371011972427368, -0.38415801525115967, -0.7036756873130798, -0.38042551279067993, -0.3784303069114685, 0.34604117274284363, -0.3276747167110443, -0.19542720913887024, -1.1905735731124878, 0.44201385974884033, -0.40410760045051575, 0.28336772322654724, -1.0531708002090454, 0.0015007521724328399, 0.31768909096717834, 0.2967205345630646, 0.5499452948570251, -0.5239540934562683, 0.4043262302875519, 0.6253663897514343, -0.30633196234703064, 2.0145180225372314, -0.07180983573198318, 0.7868250608444214, -0.18892419338226318, -0.9787466526031494, -0.9876630902290344, 1.1382545232772827, -0.15704980492591858, 0.5250726342201233, 0.6415260434150696, 0.7032952904701233, -2.0330491065979004, 1.482226848602295, 0.07964217662811279, 1.4818637371063232, -0.9331601858139038, 0.38345998525619507, 0.032883595675230026, 0.27155932784080505, 0.1258130520582199, -0.09951324015855789, 0.4327467381954193, -0.8271501064300537, 0.09929751604795456, 0.07535236328840256, 0.2617146074771881, -0.470285564661026, -0.6944553852081299, 0.040555115789175034, -2.0056378841400146, 0.02018626779317856, -0.03782530874013901, -0.09850169718265533, 0.2200099527835846, 0.30524584650993347, 1.6683812141418457, 0.14741778373718262, -1.2984638214111328, -0.7925270795822144, 1.0584566593170166, -0.23354992270469666, 0.3229696750640869, -0.47437238693237305, -0.4565180242061615, 0.7500669956207275, 0.21528072655200958, -0.0782977044582367, -0.1636897176504135, -0.44368642568588257, 0.2746351957321167, -0.10358042269945145, -1.2558192014694214, -1.2896161079406738, 0.5745846629142761, -0.30763888359069824, -0.5135311484336853, 0.5389374494552612, -0.15885333716869354, -0.6553528308868408, 0.5401794910430908, -0.755790650844574, -0.48513150215148926, -0.09240476042032242, 1.3043489456176758, 1.391721487045288, -1.3788496255874634, 0.18297815322875977, 0.11693684011697769, 0.2401481717824936, -0.7865715622901917, 1.625694990158081, -2.195988416671753, -0.021264195442199707, -1.0492913722991943, -0.6194974780082703, -0.6567090749740601, -0.1254565715789795, -0.07795781642198563, -0.1876130849123001, 0.30637240409851074, 0.8767903447151184, 0.027143778279423714, 0.013177773915231228, 0.49861040711402893, 0.3077540397644043, 0.10083208233118057, -0.5131204724311829, -0.40382203459739685, -0.7493427395820618, -0.9726572036743164, 0.9970851540565491, -0.42774006724357605, 0.31497031450271606, 0.9895909428596497, -0.10378947108983994, 1.3535656929016113, -0.4334196448326111, 0.3133942186832428, 0.05875047296285629, -0.5356544852256775, 0.04443015530705452, 1.1869409084320068, 0.5710464715957642, -0.7481468915939331, -0.32853570580482483, -0.4609041213989258, 0.4403335452079773, 0.4480825662612915, 0.547285258769989, -0.7425805926322937, 0.431776225566864, -0.6297360062599182, 0.14975258708000183, -0.4526827931404114, 0.2125672549009323, 0.32629525661468506, -0.9588083624839783, -1.7407106161117554, -0.924359917640686, -0.44813239574432373, -0.22023500502109528, -0.42270272970199585, 0.39221373200416565, -0.06909120827913284, -0.29949161410331726, 1.7828572988510132, -0.4900343418121338, -0.3364534378051758, -0.014398789964616299, 0.7526315450668335, -0.21521733701229095, 0.22057245671749115, 0.5093370079994202, 0.1784709393978119, -0.6197947263717651, 0.6887753009796143, -0.14078034460544586, -0.42622536420822144, 1.3656704425811768, 1.4750593900680542, 0.08974327147006989, 1.3620716333389282, -1.0678510665893555, -0.4126567244529724, 0.05047456920146942, -0.5070477724075317, -0.3657642602920532, 0.8048350214958191, -1.4717211723327637, 0.5917006731033325, 0.9762917757034302, -1.2115304470062256 ]
131
0704.0133
Dieter Lutz
D. Lutz, E. Sturm, L.J. Tacconi, E. Valiante, M. Schweitzer, H. Netzer, R. Maiolino, P. Andreani, O. Shemmer, S. Veilleux
PAH emission and star formation in the host of the z~2.56 Cloverleaf QSO
Accepted for publication as an ApJ Letter. 14 pages, 3 figures.
null
10.1086/518537
null
astro-ph
null
We report the first detection of the 6.2micron and 7.7micron infrared `PAH' emission features in the spectrum of a high redshift QSO, from the Spitzer-IRS spectrum of the Cloverleaf lensed QSO (H1413+117, z~2.56). The ratio of PAH features and rest frame far-infrared emission is the same as in lower luminosity star forming ultraluminous infrared galaxies and in local PG QSOs, supporting a predominantly starburst nature of the Cloverleaf's huge far-infrared luminosity (5.4E12 Lsun, corrected for lensing). The Cloverleaf's period of dominant QSO activity (Lbol ~ 7E13 Lsun) is coincident with an intense (star formation rate ~1000 Msun/yr) and short (gas exhaustion time ~3E7yr) star forming event.
[ { "created": "Mon, 2 Apr 2007 06:51:10 GMT", "version": "v1" } ]
2009-11-13
[ [ "Lutz", "D.", "" ], [ "Sturm", "E.", "" ], [ "Tacconi", "L. J.", "" ], [ "Valiante", "E.", "" ], [ "Schweitzer", "M.", "" ], [ "Netzer", "H.", "" ], [ "Maiolino", "R.", "" ], [ "Andreani", "P.", "" ], [ "Shemmer", "O.", "" ], [ "Veilleux", "S.", "" ] ]
07
[ 0.16802266240119934, 0.5978205800056458, 0.2882843613624573, -0.416425883769989, 0.5266419649124146, 0.2921903431415558, 0.44728121161460876, 0.07265268266201019, -0.40709081292152405, 0.34483879804611206, -0.12938132882118225, -0.6714555621147156, -0.8071855306625366, 0.9310005307197571, -0.8587648272514343, 0.15029528737068176, -0.49149665236473083, -1.5330233573913574, 1.7284791469573975, -0.4231204092502594, -0.24873223900794983, 0.16550633311271667, -0.5925498604774475, -0.565686821937561, 0.012120675295591354, -1.133091926574707, -0.4864916205406189, -0.6992697715759277, 1.206552267074585, 0.6331748366355896, 0.45993733406066895, -0.16719940304756165, 0.45460736751556396, -0.4115023910999298, -0.37615513801574707, -0.8311041593551636, -0.5692505836486816, -0.1632554531097412, -0.5272572040557861, 1.0198734998703003, 0.5895680785179138, -1.3830360174179077, -0.46089860796928406, 0.4404119849205017, 1.9097669124603271, 0.10535590350627899, -0.09580507129430771, 0.8486142754554749, -0.022463830187916756, 1.548937439918518, -0.04234772175550461, 0.3901783227920532, 0.28852418065071106, 1.147387981414795, -0.2849970757961273, 0.0978192389011383, 0.5983178019523621, 0.5515322685241699, -0.4314563274383545, -1.3377665281295776, 0.0615856908261776, -0.2491404265165329, 0.41260796785354614, -0.9163773655891418, 0.5453054308891296, -0.4522230923175812, -0.2524338960647583, -0.7727587819099426, 0.7185593843460083, -0.6286505460739136, -0.3796575367450714, -0.27762871980667114, -0.5542293190956116, -0.5717018246650696, -0.2056201994419098, 0.012914438731968403, -0.5557049512863159, -0.2505728602409363, 0.012013264000415802, 1.2765965461730957, -0.9767629504203796, -0.0907370075583458, -1.146224856376648, -1.3298767805099487, -0.5741276144981384, 0.2830752432346344, 0.2499939501285553, 1.5651421546936035, 1.6503570079803467, -0.6864321827888489, 0.054445575922727585, -0.8841807246208191, -0.6335974931716919, -0.7405948638916016, -1.2296195030212402, -0.3331177532672882, -0.9914482831954956, 0.8406522870063782, 0.2993646562099457, 0.024396784603595734, -0.38417091965675354, 1.860643744468689, 0.5318440794944763, 0.7667227387428284, 0.7383072972297668, 0.14444443583488464, -0.5503326058387756, -0.19935056567192078, 0.6926271915435791, -0.5931478142738342, 0.42022377252578735, -0.8866574168205261, -0.25443971157073975, 0.4276951551437378, 0.44355309009552, 1.3984863758087158, -0.06762172281742096, -0.048106685280799866, 1.2231271266937256, 0.6238998174667358, 0.05692542716860771, 1.5931183099746704, -0.6841694712638855, -0.7404573559761047, -1.086020588874817, -0.5198594331741333, 0.08299559354782104, -0.012696773745119572, 0.16787520051002502, -0.8068264722824097, -0.8674638271331787, 0.35906535387039185, -1.0050357580184937, 0.9672454595565796, -0.2867974638938904, 1.1440954208374023, -0.4378717243671417, 0.28648534417152405, 0.5878006815910339, 0.807366132736206, -0.017507340759038925, -0.12105666100978851, 0.5028051137924194, 0.9559153914451599, 0.03004806488752365, -0.1452927142381668, -0.040974538773298264, 0.9114710688591003, 0.08823197335004807, -1.1297353506088257, 1.025874376296997, -1.0350375175476074, 1.0417715311050415, -0.811900794506073, -0.7179528474807739, -0.4862225651741028, 1.2899470329284668, 2.13417387008667, -0.06471795588731766, 0.368161678314209, -1.4231570959091187, -0.5660830140113831, -0.03144388645887375, 1.9114774465560913, 0.49063733220100403, -0.6147683262825012, 0.5686067342758179, 0.49926647543907166, -0.8079999685287476, 0.4336633086204529, -0.9331641793251038, -1.1350959539413452, -0.634240984916687, 0.11105996370315552, 0.1511784791946411, -1.0645203590393066, 0.764528214931488, -0.32878735661506653, -0.555992841720581, -0.6392137408256531, 0.8777956962585449, -0.0001947998971445486, 1.2148528099060059, 0.3712213635444641, -0.48744088411331177, -0.06580521166324615, 0.42805835604667664, 0.5259159207344055, 0.36787572503089905, 0.7879137396812439, -0.4344586431980133, 0.5644325017929077, -1.086191177368164, -1.6990320682525635, 0.3236805498600006, -0.6167322397232056, 0.43435853719711304, -1.1606096029281616, 0.5566876530647278, 0.5668599605560303, 0.22245414555072784, 0.24754676222801208, 0.3151244521141052, 0.13915178179740906, -0.7572792172431946, 0.6767937541007996, -0.9151394367218018, 0.7913521528244019, -0.0882701426744461, 0.5248466730117798, -0.7750996947288513, 0.6019657254219055, -0.7397094368934631, 0.7426311373710632, 0.22663281857967377, 0.5137330889701843, 1.1071783304214478, 0.2178696095943451, -0.2004159837961197, -0.6221247315406799, -0.16693727672100067, 0.5903606414794922, 0.26564767956733704, -1.4645135402679443, -0.719476580619812, 0.42648041248321533, 0.1609380543231964, -1.9623832702636719, 0.010999606922268867, 0.02926182746887207, -0.26390764117240906, -0.5249255299568176, -0.7586838603019714, -0.548220694065094, -0.3518691658973694, -0.5217597484588623, -0.7636321187019348, -0.2116234302520752, -0.26195621490478516, -0.4222047030925751, -0.8475010991096497, 0.8295841217041016, -0.9987273216247559, 1.1234681606292725, 0.08545228838920593, -0.10805761069059372, -0.07595984637737274, -0.9087133407592773, -0.2535721957683563, 0.11863777786493301, -1.5404870510101318, 0.385506808757782, -1.0169172286987305, -0.9332398176193237, 0.31637364625930786, -0.5093268156051636, 1.2668713331222534, -0.8606361746788025, 0.5848747491836548, 0.2312483936548233, -0.0845160186290741, 0.5999845862388611, -0.35973843932151794, 0.3397798538208008, -1.1856142282485962, -1.5725466012954712, 0.01002509705722332, -0.240426704287529, -1.211945652961731, -0.709987461566925, -0.05604037269949913, 2.1440234184265137, 0.8292315602302551, 0.05360330641269684, 1.4451276063919067, 0.7337127923965454, 0.22192178666591644, 0.7428281903266907, 0.11433060467243195, -0.4008704125881195, -0.15152966976165771, -0.637427568435669, -0.05895093083381653, 0.9718026518821716, 0.6315926909446716, 0.7196201682090759, 0.00914148148149252, -0.8467222452163696, -0.1611468493938446, 1.5954761505126953, 0.5070833563804626, -0.8796021938323975, 0.10307088494300842, 0.2102234810590744, -0.35565486550331116, -0.05040321126580238, 0.30071720480918884, -0.8587729334831238, -0.2146102488040924, -0.02645955979824066, 0.49916163086891174, -0.21009063720703125, 0.14786066114902496, -0.6411946415901184, -0.11197603493928909, -0.4253242015838623, 0.39739152789115906, 0.2546122074127197, 1.1115516424179077, -0.24704401195049286, 0.3333582878112793, -0.35728996992111206, -0.19568513333797455, 0.2721119225025177, -0.05311356112360954, 0.7624709010124207, -0.7247369885444641, 0.29130515456199646, -0.9449971914291382, -0.7365303039550781, -0.5820666551589966, -0.7091477513313293, -0.35512757301330566, -0.0014038658700883389, 0.5073208808898926, 0.8518764972686768, 0.8774164319038391, -0.14856384694576263, -0.4920840561389923, 0.4062913954257965, -0.9667957425117493, 0.10462280362844467, 0.7216947674751282, 1.193542718887329, 0.1433371901512146, -0.5064891576766968, 1.598547339439392, 1.0480637550354004, 0.6309201121330261, -0.13700547814369202, -1.1109287738800049, 1.6144897937774658, 1.1337193250656128, 1.8441379070281982, -1.2137717008590698, -0.1270960122346878, -0.5933296084403992, 0.18155236542224884, -0.35727372765541077, -0.40970465540885925, -0.6377248764038086, 0.5776070952415466, 0.18765956163406372, -2.1616451740264893, -1.2171024084091187, 0.7845640182495117, 0.44449737668037415, -0.6168416142463684, -1.2630056142807007, 0.06273642927408218, 0.0328466072678566, -0.2644650936126709, 0.40624696016311646, 0.47222277522087097, -0.1380511373281479, 0.5294672250747681, 0.1064644530415535, -0.40506094694137573, 0.47628480195999146, -0.8533489108085632, -0.6124721169471741, 0.17770074307918549, -0.24523097276687622, 0.2794356346130371, 0.030017724260687828, -0.46930548548698425, 0.5272408127784729, -1.1570014953613281, 0.3046922981739044, -1.0218210220336914, -1.6166644096374512, -0.3287065625190735, 1.0353498458862305, 0.4498961269855499, 0.5386912226676941, 0.5221299529075623, -1.3253679275512695, 0.46386218070983887, 0.14195232093334198, 0.5411727428436279, -0.40015387535095215, -0.014450966380536556, -0.33300668001174927, -0.06617704033851624, 0.31588560342788696, 0.49904561042785645, -0.5471150875091553, -1.0530580282211304, -0.26029911637306213, -0.5737391710281372, 0.3215804696083069, -0.7005032300949097, 1.094864010810852, 0.07020946592092514, -0.28140076994895935, 0.2076977640390396, 0.40312260389328003, 0.08499400317668915, -0.5409154891967773, 1.2475440502166748, -0.04617839306592941, 0.5332682132720947, -0.48612743616104126, -1.2009727954864502, 2.0738179683685303, -0.006544922478497028, -0.680421769618988, -0.4093954265117645, -0.8327770829200745, -1.7110047340393066, 0.6452365517616272, -0.20128732919692993, -0.3382894992828369, -0.345005601644516, -0.44658949971199036, -0.3719291687011719, -0.7039324045181274, 0.1289721578359604, -0.5065730810165405, 0.48909738659858704, 0.5386083126068115, -0.23144254088401794, -0.2361382246017456, 0.8828179836273193, 0.11075197160243988, -0.13956883549690247, -1.6318994760513306, 0.8912516236305237, -0.08231423795223236, -0.30291712284088135, 0.4788321256637573, -0.07676932215690613, -0.8650218844413757, -1.390088677406311, 0.48995551466941833, -2.1472346782684326, 0.03897206112742424, -0.5846157073974609, -0.8604201078414917, 0.021082228049635887, 0.9849199056625366, -0.9223907589912415, -0.055739786475896835, -1.3928261995315552, -0.3396511971950531, -0.6030679941177368, -1.2391026020050049, 0.016884902492165565, -1.0124808549880981, -0.619951069355011, 0.9958528280258179, 1.0748125314712524, -0.35817500948905945, -0.2714431881904602, 0.5404711365699768, 0.39407527446746826, 1.592894196510315, -1.240324854850769, -0.6349110007286072, -0.36174729466438293, -0.2849881649017334, 0.9212099313735962, -1.4827380180358887, -0.475538432598114, 1.0492053031921387, 1.0716995000839233, 0.5209994316101074, 0.12173861265182495, 1.8868613243103027, -0.6471292972564697, 0.29074203968048096, -0.022504201158881187, 0.48473021388053894, -0.754043459892273, -0.13771012425422668, 1.1731947660446167, 0.5866448283195496, -0.8729237914085388, -0.8307867050170898, -1.6198729276657104, 0.565413236618042, -0.08043244481086731, 0.30227217078208923, 1.0104916095733643, -0.6219491362571716, 0.40369704365730286, -0.14016903936862946, 0.4552275240421295, 0.7716601490974426, 0.25071871280670166, -0.2635214924812317, -0.8230062127113342, 0.5688532590866089, -0.10493838042020798, -0.15995074808597565, -0.4433402121067047, -0.8502342700958252, 0.520598828792572, -0.5695346593856812, 0.2375379055738449, 0.15305104851722717, 0.4214567244052887, 0.7413557767868042, 0.0841144546866417, -0.3267310857772827, -0.890389621257782, 0.04466012120246887, -2.165889263153076, 0.5656160712242126, -0.07850013673305511, -0.43145206570625305, -0.3137935996055603, 0.29877886176109314, -0.4104004204273224, -0.9292452931404114, 0.3972678482532501, -0.6873626708984375, 0.36784249544143677, -0.12163980305194855, 0.12741097807884216, 0.21713118255138397, 1.2569036483764648, -1.5980162620544434, 0.3270286023616791, 0.3009628355503082, -1.404390811920166, 0.9517021775245667, 0.5611119270324707, -0.6120452880859375, -0.35472556948661804, 0.5073069334030151, -0.41530415415763855, 1.4711356163024902, 0.1828303039073944, 0.8205175399780273, -0.933757483959198, -0.17172837257385254, -0.6089034080505371, 0.025071756914258003, -0.20976215600967407, -0.48170116543769836, -0.4848373532295227, -0.160863995552063, 1.3879320621490479, 0.6654995679855347, 0.2115868628025055, -7.460886001586914, -0.11142321676015854, 0.41838836669921875, -0.42682549357414246, -0.3144949972629547, -0.9453299045562744, -0.41179990768432617, 0.2427881807088852, -0.7954903841018677, 0.02668815851211548, 0.46965062618255615, -0.23145154118537903, -0.8176078200340271, 0.11908242851495743, -0.28260481357574463, 0.016980309039354324, 0.39935174584388733, 0.7129025459289551, 0.3848697543144226, 0.39383187890052795, 1.0065258741378784, -0.35070687532424927, -0.07542110979557037, -0.5205773115158081, 1.2788037061691284, -0.14689722657203674, -0.5830059051513672, 0.8630639314651489, 0.6264886856079102, -0.6393178701400757, 0.5087794065475464, -1.4718698263168335, 0.5788158178329468, 0.5289695262908936, 1.4598814249038696, 0.25267380475997925, -0.5891584157943726, -0.4500080645084381, 0.7902310490608215, -0.3599748909473419, -1.2974597215652466, 1.3082821369171143, -0.3921159505844116, -2.646024465560913, -0.22748397290706635, 0.45150354504585266, 0.07056309282779694, 0.9761224985122681, 1.4349138736724854, -0.6369523406028748, 0.24627135694026947, -0.9721241593360901, -0.6054843068122864, -1.3561567068099976, 0.18211926519870758, -0.4098644554615021, -0.8523415923118591, -0.06546207517385483, 0.29571449756622314, 0.5160757303237915, -0.15201041102409363, -0.22322387993335724, -0.23294822871685028, 0.12983563542366028, -0.019954750314354897, -1.498247504234314, -0.5094753503799438, -0.6467061042785645, 0.3241824805736542, 0.8859574794769287, -0.3665129840373993, -0.34047284722328186, -0.23518376052379608, -0.5687539577484131, -0.16682730615139008, -0.5493122935295105, -0.3687577545642853, 0.03546313941478729, -0.7272008657455444, -0.29709091782569885, 0.9560466408729553, 1.7447643280029297, -0.08170398324728012, -0.44250646233558655, -1.5217565298080444, -1.0245791673660278, 0.10344740748405457, 0.3389049172401428, -1.5288896560668945, -0.6593579649925232, -0.32989364862442017, -0.4759984612464905, -0.2784448266029358, -1.1335055828094482, 0.33024442195892334, -0.6302105188369751, -0.38189172744750977, -0.5599767565727234, -0.10006766021251678, -0.0665651261806488, 1.806862473487854, -0.026516446843743324, -0.7357432246208191, 0.4555538594722748, 0.01805083453655243, 1.4013457298278809, -0.8495210409164429, -0.2956472933292389, -0.28763943910598755, 0.269325852394104, 0.34241846203804016, -0.5933873057365417, -1.8223880529403687, 0.45866885781288147, 0.3442491292953491, 0.8364434838294983, -0.12015430629253387, -0.326725035905838, 0.8438089489936829, -0.30312854051589966, 0.3389686942100525, -0.16386857628822327, -2.08280611038208, -0.3316783607006073, 0.19917571544647217, -0.9230151772499084, 0.5131565928459167, 1.0144068002700806, -0.10303719341754913, 0.06701291352510452, 0.2850274443626404, 0.45386531949043274, 0.8180240392684937, -0.0009264390682801604, -0.8612258434295654, -0.9920445680618286, 1.276079535484314, -0.03871101140975952, -0.5479340553283691, -0.980212390422821, 0.7676565051078796, -0.7677597999572754, 0.8865456581115723, -0.47522079944610596, -0.04358651861548424, -0.7982385754585266, -0.9120165705680847, 0.30815938115119934, -0.9229477643966675, -0.4601479172706604, 0.7238441109657288, -0.550982654094696, -0.29188787937164307, 0.10607811063528061, -0.20690372586250305, 0.777849555015564, -0.10269157588481903, 0.32265332341194153, -0.5261856913566589, 0.34086763858795166, 0.6792916059494019, 0.1317174732685089, 0.15292391180992126, -0.7594067454338074, -0.015672409906983376, -0.4879961609840393, 0.3861123323440552, 0.4647730588912964, -1.55973482131958, -0.03563541918992996, -0.054995451122522354, 0.20210006833076477, 0.4709189832210541, 0.5589084625244141, 1.0103514194488525, 0.004511686507612467, 0.0060885194689035416, -0.22229821979999542, -0.05218067765235901, 0.390593022108078, 0.5991498827934265, 0.9032794237136841, -0.008066884241998196, 0.34500789642333984, -1.3384959697723389, 0.8284384608268738, 0.4902491569519043, -0.37863701581954956, -0.7516286373138428, -0.520747721195221, -0.40576407313346863, 0.17042018473148346, 0.4834623336791992, 0.9484052062034607, -0.7082958817481995, -0.8564437031745911, 0.43784645199775696, -0.1144629642367363, 0.3903484344482422, 0.5653048753738403, -0.07219088077545166, 1.0314514636993408, 1.0751479864120483, 0.34738701581954956, 0.3545497953891754, -0.1385759562253952, -0.4382815361022949, 0.522291362285614, 0.10545193403959274, -0.11509203910827637, 0.838472306728363, -1.013415813446045 ]
132
0704.0134
A. K. Chaudhuri
A. K. Chaudhuri
Causal dissipative hydrodynamics for QGP fluid in 2+1 dimensions
Extensively revised version. In the revised version, we have discussed the effect of viscosity on (quark) transverse momentum distribution and on elliptic flow. It was shown that elliptic flow saturates due to non-equilirium correction to the equilibrium distribution function and can not be mimicked by ideal dynamics. 15 pages, 16 figures
null
null
null
nucl-th
null
In 2nd order causal dissipative theory, space-time evolution of QGP fluid is studied in 2+1 dimensions. Relaxation equations for shear stress tensors are solved simultaneously with the energy-momentum conservation equations. Comparison of evolution of ideal and viscous QGP fluid, initialized under the same conditions, e.g. same equilibration time, energy density and velocity profile, indicate that in a viscous dynamics, energy density or temperature of the fluid evolve slowly, than in an ideal fluid. Cooling gets slower as viscosity increases. Transverse expansion also increases in a viscous dynamics. For the first time we have also studied elliptic flow of 'quarks' in causal viscous dynamics. It is shown that elliptic flow of quarks saturates due to non-equilibrium correction to equilibrium distribution function, and can not be mimicked by an ideal hydrodynamics.
[ { "created": "Mon, 2 Apr 2007 06:56:01 GMT", "version": "v1" }, { "created": "Wed, 1 Aug 2007 13:19:18 GMT", "version": "v2" } ]
2007-08-01
[ [ "Chaudhuri", "A. K.", "" ] ]
07
[ 0.099009208381176, 0.27002087235450745, 0.9830237627029419, 0.4509837031364441, 0.45286932587623596, -0.3464014530181885, 1.1414138078689575, 0.6949120759963989, 0.06325937062501907, 0.31465408205986023, -1.1302732229232788, 0.46642664074897766, 0.85387122631073, -0.41030266880989075, -0.8139934539794922, -0.09747839719057083, -1.0390444993972778, -1.1369396448135376, -0.33546942472457886, -0.2385762333869934, 0.09198419004678726, 0.7247737050056458, 0.10443999618291855, -1.6524133682250977, -0.1223231628537178, 0.5038369297981262, 0.3716883957386017, 2.1799428462982178, 1.202194094657898, -0.03540167585015297, -0.37505605816841125, 0.5262091159820557, 0.932701051235199, 0.03257749602198601, -0.46369194984436035, 1.2041611671447754, 1.6600741147994995, -1.517863392829895, -0.09562184661626816, 0.28296375274658203, -1.4305477142333984, 0.8599732518196106, -0.12222841382026672, 0.7021488547325134, 0.4442192018032074, -0.6489701271057129, -0.01587950438261032, 1.7166087627410889, -0.41813281178474426, -0.27969518303871155, 0.8110332489013672, 0.06922551244497299, 1.330118179321289, 1.261621117591858, 0.0011318016331642866, 0.3558911979198456, 0.03528853878378868, 0.3139319121837616, -0.10255923867225647, -0.09103357791900635, -0.8496636748313904, 0.6901782751083374, -0.4158259332180023, 0.38930055499076843, 0.4833231568336487, -0.49424415826797485, 1.4587857723236084, -0.018412990495562553, 0.5798408389091492, 1.2834653854370117, -1.0934864282608032, 0.41297709941864014, -0.2352037876844406, -0.39015963673591614, -0.3166680932044983, -0.7503364682197571, -0.3342311978340149, -0.6633974313735962, 1.3053922653198242, 1.1109951734542847, 0.7241304516792297, 0.20743481814861298, -1.7013580799102783, 0.015742994844913483, -0.7642920613288879, 0.07122977823019028, 0.26473674178123474, 0.5636077523231506, -0.5037258863449097, 0.3402732312679291, 0.6886423826217651, -1.1341876983642578, 1.1450263261795044, -0.38295865058898926, 0.1969018578529358, 1.007277011871338, -0.6257554888725281, 0.3912455141544342, 0.7342567443847656, -0.2964050769805908, -0.12817257642745972, 0.06823640316724777, -0.08306882530450821, 0.07292099297046661, -0.9112576842308044, 0.6027718186378479, -0.41700103878974915, -0.6362621784210205, 0.1587265431880951, -0.2936665415763855, 0.21891741454601288, -0.46104276180267334, -0.4161688983440399, -0.536873459815979, -0.5872302651405334, 0.6592013835906982, 0.3073425889015198, -0.49725204706192017, -1.2551175355911255, 0.3245125114917755, 0.2434498518705368, -0.15894679725170135, 1.2949944734573364, 0.8772929906845093, 1.48683500289917, -0.8064848184585571, -0.30843597650527954, -1.1749470233917236, 0.0243217870593071, 0.28832200169563293, 0.66769939661026, -0.15364611148834229, -0.17735347151756287, 1.2543848752975464, -0.42540159821510315, 0.14449012279510498, 0.06823986023664474, 0.23644419014453888, 0.5270546674728394, 0.5795773267745972, 0.412575900554657, -0.6017842888832092, -0.3661867380142212, -0.30614998936653137, -0.20043720304965973, -0.6292534470558167, -1.1950372457504272, -1.4116164445877075, 1.1948288679122925, 0.3671150505542755, 0.41394028067588806, -0.44297248125076294, -0.4458632171154022, 0.0343949981033802, -0.34422430396080017, -0.9654517769813538, -0.007218525279313326, 1.3375154733657837, -0.26576370000839233, -0.1402570903301239, 0.06203196197748184, -0.18009336292743683, -0.3220027983188629, -0.8478167057037354, -0.5278905630111694, 0.030451329424977303, 0.7492189407348633, 0.5484789609909058, 0.3621094524860382, 1.0751768350601196, -0.6978011727333069, -0.3974873125553131, -0.5930393934249878, -1.484673023223877, -0.8365074992179871, -0.05361944064497948, 1.1030997037887573, 0.8434233665466309, -0.10334718972444534, -0.8946067094802856, 0.4140836298465729, -0.09022554010152817, -0.11510831117630005, -0.26725926995277405, -0.2089647650718689, 0.1719498187303543, 1.0000234842300415, -0.8970560431480408, -0.27203044295310974, 0.19302670657634735, -1.4411793947219849, 0.7307943105697632, 0.005474799778312445, -0.1860133558511734, 0.6742326021194458, -0.5712226033210754, -0.667110025882721, -0.9909143447875977, -0.9374332427978516, -0.6700024604797363, 0.9224703311920166, 0.6898514032363892, 0.6033039093017578, -0.29513826966285706, -1.3985658884048462, -0.058868419378995895, 0.46716347336769104, -0.25635814666748047, -0.23547683656215668, 0.31459760665893555, -0.5201389789581299, -0.9873368740081787, -0.7149050235748291, -0.006303615868091583, 0.8428092002868652, 0.19834986329078674, -1.3954644203186035, -0.8550387620925903, -0.3401218056678772, 1.1942554712295532, -0.44897809624671936, 0.4696659445762634, 0.9957626461982727, 1.1866133213043213, -0.34158921241760254, 0.5105080008506775, -0.7306414842605591, -0.027088886126875877, 0.24231961369514465, -0.4955217242240906, 0.15172179043293, -0.38938280940055847, -0.16161909699440002, -0.4146808981895447, -0.596553385257721, 0.6576533317565918, 0.9487961530685425, 1.4693511724472046, -0.13088738918304443, 0.4560879170894623, 1.0023661851882935, -0.644974410533905, -1.6936166286468506, 0.21908260881900787, -0.43818527460098267, 0.26333293318748474, -0.5867399573326111, -1.068011999130249, 0.18300080299377441, 0.17299696803092957, 1.3602194786071777, 0.4295918047428131, 0.49762970209121704, 0.46659496426582336, 0.21195127069950104, -0.7465876936912537, -1.1229597330093384, 0.13258293271064758, -1.5383949279785156, 0.32255518436431885, 0.48349934816360474, 0.26023024320602417, -0.25577232241630554, -0.8126331567764282, 0.47683119773864746, 0.8111400604248047, 0.5784499049186707, 0.07061881572008133, -1.001369833946228, -0.18038396537303925, -0.906970202922821, -0.6536900997161865, -0.6444202065467834, -0.5207562446594238, 0.4463186264038086, -0.16883151233196259, 0.3547589182853699, -0.1284199208021164, -0.5549960136413574, 0.6102038025856018, 0.8399118781089783, 0.7659462094306946, -0.4749619960784912, -1.1266357898712158, 0.26777923107147217, 0.49199044704437256, -0.3225294053554535, -0.4069087505340576, -0.9019408822059631, 0.030656926333904266, -0.10659419745206833, 0.7044172286987305, 0.33668044209480286, 0.156385600566864, -0.9577599763870239, -0.6221900582313538, -0.06224409118294716, -0.17577210068702698, -0.31968337297439575, -0.3510666489601135, -0.3945685029029846, -0.061170000582933426, -1.0818883180618286, 0.4348864257335663, 0.12042033672332764, 0.012579210102558136, 0.22266212105751038, 0.5839479565620422, 0.040667422115802765, 0.019751330837607384, -0.16450107097625732, -1.6271251440048218, -0.25051870942115784, -0.09219393134117126, 0.34862375259399414, -0.832824170589447, -0.7886934280395508, 0.4805660545825958, -0.805840015411377, 0.6837857365608215, 0.8988218307495117, -0.80344158411026, -0.0277357567101717, 1.690366506576538, -0.3779057264328003, -0.6274780035018921, -0.40656474232673645, -0.994178056716919, 0.46542319655418396, -0.3852373957633972, 0.05536708980798721, 0.8979430794715881, -0.3743404448032379, 0.23350980877876282, 0.022371241822838783, -0.5991426706314087, -0.21180909872055054, 0.09890352934598923, 1.00406014919281, -0.1330721378326416, -0.2171621024608612, 1.7326589822769165, -1.749133825302124, 0.5091744065284729, -0.8482303023338318, 0.4314333200454712, 0.13295795023441315, 0.2435579001903534, -1.306552529335022, -0.7903483510017395, -0.9374916553497314, -0.4677640497684479, 0.5804896950721741, -0.42297184467315674, -0.019295578822493553, 0.393821656703949, 0.12416446208953857, -0.5096230506896973, -0.4024031162261963, -0.37869516015052795, 0.3642193377017975, 0.43770718574523926, 0.4950070083141327, -0.16158828139305115, 0.2777397036552429, -0.8488538265228271, -1.0093586444854736, -0.5544538497924805, -0.23038838803768158, 0.6780630946159363, -1.6094311475753784, -0.1357777714729309, 1.3957483768463135, -0.8249310255050659, -0.29284781217575073, -0.41515064239501953, 1.6413743495941162, 0.12570945918560028, 0.5034223794937134, -0.7287663817405701, 0.1143668070435524, 0.5448341965675354, -0.5689627528190613, 0.5173768997192383, -0.7514123916625977, -0.41449910402297974, -2.1955864429473877, 0.4921627938747406, 0.18780513107776642, 0.3736070990562439, 0.14599503576755524, 0.2501898407936096, -0.011033715680241585, -0.48812201619148254, -1.1884608268737793, -0.7212848663330078, -0.2500394880771637, 0.12025980651378632, -0.1066090539097786, 0.9454892873764038, 1.0375275611877441, -0.8999988436698914, -0.5575831532478333, 0.27939701080322266, 0.6606436371803284, 1.191156268119812, 0.3872612416744232, 0.639316976070404, -0.035302236676216125, 0.4327004849910736, 0.08266749233007431, -0.7550654411315918, 0.027356024831533432, -0.2875600755214691, 0.7906291484832764, -1.113168716430664, -0.5430669188499451, 0.6214650273323059, -0.3036786615848541, -0.22097183763980865, 0.7156956195831299, -1.2069178819656372, 0.2906787693500519, 0.20071086287498474, 0.2001028060913086, -0.6983718872070312, 0.11961236596107483, -0.39979085326194763, -0.9364050030708313, -0.35432788729667664, 0.32781827449798584, -0.15762272477149963, -1.0128130912780762, 1.7273255586624146, 0.16447614133358002, -0.47516068816185, -0.28788867592811584, 0.7428603768348694, -0.6645333170890808, -1.2183371782302856, 0.18463648855686188, -0.40250226855278015, -2.4084360599517822, -0.3899841010570526, 0.3349091708660126, -0.2690293788909912, -1.2484517097473145, -0.7523958086967468, 0.9410351514816284, 0.03153142333030701, 0.13050627708435059, 1.9498974084854126, -0.3942802846431732, -0.0032022008672356606, 0.5730128884315491, -1.5582914352416992, 0.6316848397254944, 0.589587390422821, -0.05178056284785271, -0.493867963552475, -0.42854928970336914, 0.5310337543487549, 0.9849178791046143, -1.321580410003662, 0.10307947546243668, -0.31981220841407776, 0.4127505421638489, -0.2289455235004425, 0.5050999522209167, 0.7140382528305054, 0.5302595496177673, 0.4796195924282074, -0.14209294319152832, 0.44321149587631226, -0.8706873059272766, -0.536746084690094, 0.5225163102149963, -2.1180737018585205, 0.5159563422203064, 0.6414507627487183, 2.4262585639953613, 1.3650181293487549, -0.3988714814186096, -0.472145140171051, -0.15935100615024567, 0.022224655374884605, -1.475892424583435, 0.9372910261154175, -1.0326974391937256, 0.080344058573246, -0.08394520729780197, -0.5970628261566162, -0.05378631874918938, -0.1300356239080429, 1.2401031255722046, -0.10458287596702576, -0.1982170194387436, -0.3087383806705475, -0.29112282395362854, 0.03399920091032982, 1.2098567485809326, -0.1658235788345337, 0.3124881684780121, 0.3401327133178711, -1.46617591381073, -0.8810157775878906, 0.12954166531562805, 0.04827829450368881, 0.33293062448501587, -0.6530476212501526, -0.14779242873191833, -0.3707723617553711, 0.9517601728439331, 0.8078799247741699, 0.15952926874160767, -0.8314616084098816, -0.6245818138122559, -2.8792202472686768, 0.6744250059127808, -0.9220767021179199, 0.9874565005302429, 0.6046148538589478, 0.013626601547002792, -0.9627549052238464, 1.1982293128967285, 0.18126748502254486, 0.509019136428833, -0.2687736749649048, -0.8869898319244385, -0.06731118261814117, -0.10097765177488327, 0.10687743872404099, 0.9905747175216675, -0.3842138350009918, -1.2663242816925049, -0.1173425167798996, 0.5743938684463501, -0.8013226985931396, -1.2687687873840332, 0.19398750364780426, 0.3716895580291748, 0.09224707633256912, -0.2974775433540344, 0.0877506211400032, -0.5842363238334656, -1.0077496767044067, 0.08223405480384827, -0.29191914200782776, 0.3790915608406067, 1.0244433879852295, -0.3170986771583557, -0.31375399231910706, -2.323429584503174, 1.5462132692337036, 0.7876879572868347, -0.36369088292121887, -6.7504658699035645, -0.1678120642900467, -0.05527983233332634, -0.44900593161582947, -0.10220024734735489, -1.1435457468032837, -1.1730176210403442, 0.04854290187358856, 0.1258426308631897, 0.016463903710246086, 1.1946417093276978, 0.11900890618562698, -0.5971258878707886, -0.4016634523868561, -0.7000772356987, -1.283259630203247, 0.10439848154783249, -0.2267703413963318, -0.6606839299201965, -0.5314513444900513, 0.02529546432197094, -0.33445245027542114, -0.8012089729309082, -0.011249527335166931, -1.678073525428772, 0.18943992257118225, 0.1708269864320755, -0.28156083822250366, -0.3553900122642517, 0.47619304060935974, -0.4196523427963257, 1.2887266874313354, 0.018439682200551033, -0.238753080368042, -0.05413768067955971, -0.12012060731649399, -0.8884388208389282, 1.444403886795044, 0.2791074514389038, -0.9976729154586792, 0.6192449331283569, -0.11484932899475098, -0.9054327011108398, 0.8050951957702637, -0.05580766499042511, 0.7637521028518677, -0.3009950518608093, -1.145979642868042, 0.9754259586334229, -0.09345303475856781, 0.6535111665725708, -0.850104808807373, -1.1968656778335571, 0.6346843242645264, 0.8443903923034668, -0.14363804459571838, -0.09713342785835266, -0.3091985583305359, 0.40557149052619934, -0.2187962532043457, 1.1514580249786377, 0.15688955783843994, 0.8478744626045227, -0.202391117811203, -0.4558950960636139, -0.2832828462123871, 0.5929985046386719, -0.6400197744369507, 0.13514970242977142, 0.09765326231718063, -0.8680565357208252, -1.4037764072418213, 0.04728850722312927, 0.3682682514190674, -0.0361478365957737, -0.5884698629379272, -0.11806660890579224, 0.5723390579223633, 0.9604775309562683, 0.24876289069652557, -0.3383741080760956, 1.1738027334213257, -1.9316515922546387, -0.13420528173446655, -0.8448302149772644, -0.6581845879554749, -0.722133219242096, 0.07384014874696732, 1.0375006198883057, -1.4067860841751099, 0.30702757835388184, -0.40999117493629456, 0.06588401645421982, -1.645254135131836, -0.6265802979469299, -0.46970877051353455, 0.19001561403274536, -0.43181633949279785, -1.226070523262024, 0.7819520831108093, 0.6702242493629456, -1.0725675821304321, 1.1433690786361694, 0.6923420429229736, 0.9272305369377136, 0.6020111441612244, -1.1987354755401611, 0.8819080591201782, 0.1350383162498474, 0.054928019642829895, 0.17402079701423645, -0.8791005611419678, -0.4711000323295593, 0.018336648121476173, -0.16415661573410034, -0.24669143557548523, -0.5720968842506409, 0.3672049939632416, -0.2401537001132965, -0.9029695987701416, 0.09184086322784424, -0.3841916620731354, 0.5458936095237732, -0.5453433394432068, -0.05556158721446991, 0.4076153635978699, -1.3430103063583374, -0.6043198108673096, -0.06573023647069931, -0.17129270732402802, 0.6805664896965027, -0.6863825917243958, 0.9399319887161255, 1.5264300107955933, -0.3406107723712921, 0.5090844035148621, -0.07006432861089706, 0.7546970248222351, -0.7313214540481567, 0.04139028862118721, 0.3929656445980072, -0.9239538311958313, 0.3728799819946289, -0.3924010396003723, 0.911938488483429, -0.7225916981697083, 0.17333124577999115, -0.31714147329330444, 0.04888415336608887, 0.4548679292201996, 0.7025376558303833, -0.06420596688985825, 1.898080587387085, 2.7773308753967285, -0.749053955078125, 0.09885665029287338, -0.15078295767307281, -0.651361346244812, -0.2681817412376404, 0.2287152111530304, -0.7803907990455627, 1.9004849195480347, -0.39157700538635254, 0.9740866422653198, -0.38442695140838623, -0.8863028287887573, -0.22251737117767334, 0.6172906756401062, 1.871105670928955, 1.7845683097839355, -0.6525866985321045, 0.08074048906564713, -0.11306712031364441, -0.2325749397277832, 0.6473292708396912, -0.49731212854385376, 0.40866509079933167, -0.05918117240071297, -0.9608866572380066, -0.3037995398044586, -1.1694656610488892, -0.5452482104301453, 0.10011697560548782, 0.6896194219589233, -0.08146447688341141, 0.7714027762413025, -0.35988664627075195, 0.3366418480873108, -0.4762524664402008, 0.20599870383739471, -0.8959659337997437, -0.12672580778598785, -2.182905912399292, 0.47484490275382996, 0.5011283755302429, -0.5616598129272461, 0.22420956194400787, 0.4889492690563202, -1.2110304832458496, -0.8138155341148376, 1.385601282119751, 0.5817769169807434, 0.6813978552818298, 0.8303669095039368, -0.9983466267585754, -0.10464867204427719, 0.33549997210502625, 0.14684441685676575, -0.6205530166625977, 0.06559023261070251, -0.004906162619590759, -0.8527550101280212 ]
133
0704.0135
Nicolas Menicucci
Nicolas C. Menicucci and G. J. Milburn
A Single Trapped Ion as a Time-Dependent Harmonic Oscillator
5 pages (two-column format), no figures, added introductory material, other minor content revisions
Phys. Rev. A 76, 052105 (2007)
10.1103/PhysRevA.76.052105
null
quant-ph
null
We show how a single trapped ion may be used to test a variety of important physical models realized as time-dependent harmonic oscillators. The ion itself functions as its own motional detector through laser-induced electronic transitions. Alsing et al. [Phys. Rev. Lett. 94, 220401 (2005)] proposed that an exponentially decaying trap frequency could be used to simulate (thermal) Gibbons-Hawking radiation in an expanding universe, but the Hamiltonian used was incorrect. We apply our general solution to this experimental proposal, correcting the result for a single ion and showing that while the actual spectrum is different from the Gibbons-Hawking case, it nevertheless shares an important experimental signature with this result.
[ { "created": "Mon, 2 Apr 2007 12:01:41 GMT", "version": "v1" }, { "created": "Fri, 27 Jul 2007 16:43:16 GMT", "version": "v2" } ]
2007-12-23
[ [ "Menicucci", "Nicolas C.", "" ], [ "Milburn", "G. J.", "" ] ]
07
[ -1.0201159715652466, -0.8639674782752991, 0.13786166906356812, -0.013280099257826805, -1.2994439601898193, 0.6114912033081055, -0.5332826375961304, 1.7441635131835938, 0.3982144296169281, -0.4663528501987457, -0.26719340682029724, -0.32035595178604126, 0.7862462997436523, -0.1170957088470459, -1.3103896379470825, -0.12375769019126892, 0.8192884922027588, -0.3047235906124115, 0.28900882601737976, 0.9021509289741516, 0.934765636920929, -1.5283795595169067, -0.29846519231796265, 0.16555474698543549, -0.19287489354610443, -0.19267980754375458, 0.48468929529190063, -0.06321100890636444, -0.7520423531532288, 0.8083769083023071, -0.06841263920068741, 0.2763234078884125, -0.34517213702201843, -0.6663591861724854, 0.657937228679657, -0.26191508769989014, 1.2554882764816284, -1.1001719236373901, -0.4260185956954956, -0.5892608165740967, -0.6458846926689148, 1.1777058839797974, 1.130907416343689, 0.7189943194389343, -0.9544121026992798, -0.2878146767616272, -0.029879003763198853, -0.9504732489585876, -0.22509285807609558, 0.6693345308303833, 0.2870107591152191, -0.9538195729255676, 0.6964799761772156, -0.07599462568759918, -0.6429079174995422, 0.12898357212543488, -0.5794886946678162, 0.699710488319397, -0.09055004268884659, -0.6566155552864075, 0.30763939023017883, -0.21401585638523102, -0.886161744594574, 0.31109949946403503, -1.038702368736267, -0.013683113269507885, 0.8068302273750305, 0.8754419088363647, 1.8743772506713867, 0.1582050919532776, 0.09997131675481796, -0.15274082124233246, 0.5128317475318909, -0.8544777631759644, 1.3257644176483154, -1.336172342300415, 0.33594125509262085, -0.18557195365428925, 1.329362154006958, -1.5253214836120605, 0.3877144753932953, 0.9506500959396362, -0.1362074911594391, -1.6173533201217651, 0.3589611351490021, -0.6268238425254822, -0.09544089436531067, -0.4428669512271881, -0.7234416604042053, 0.2817261815071106, 0.2769834101200104, -0.18416818976402283, 0.03911801427602768, -0.17242871224880219, 0.5505861043930054, -0.21005170047283173, -1.2198538780212402, -1.0308740139007568, 0.343607097864151, -0.534362256526947, -0.09962502121925354, 0.5709866881370544, 0.5150818228721619, 0.12401594966650009, 0.27469927072525024, -0.4378887414932251, -0.3837355077266693, 0.6320738792419434, -1.009190320968628, -0.4720677435398102, 0.0663619190454483, -1.0910121202468872, 0.17891715466976166, 0.4603836238384247, -0.762540876865387, 1.3574432134628296, -0.6259928941726685, 0.8837806582450867, -0.030400337651371956, 0.29692357778549194, -1.3993428945541382, -0.40376532077789307, 0.1354241520166397, 0.7786317467689514, 0.2700762152671814, -0.18554691970348358, 1.2017402648925781, -0.38847044110298157, 0.13802175223827362, 0.08000919222831726, -0.8039190769195557, -1.1597378253936768, 0.08985155075788498, 0.7722892761230469, -1.0280448198318481, -0.16216112673282623, 0.05864743888378143, -0.1650581955909729, 1.1767857074737549, 0.1150154247879982, 0.27409815788269043, 0.5998407006263733, -0.06778503209352493, 0.05831499770283699, -0.2694965898990631, -0.18376265466213226, -0.1235123947262764, 0.09258133172988892, 1.0084402561187744, 0.22518199682235718, 0.1829404979944229, 0.35480737686157227, 0.6602820158004761, -1.033376932144165, 0.054022304713726044, -0.466016560792923, -0.48649686574935913, 1.0954482555389404, -0.18197466433048248, 0.4152291715145111, 0.623293399810791, 1.0319675207138062, 1.0983277559280396, -0.02075783535838127, -0.8958220481872559, -0.011682645417749882, -0.2620789110660553, 0.6235628128051758, -0.8310002684593201, -0.3347552716732025, -0.8590736985206604, 0.5907635688781738, -0.5955826640129089, -0.3316940665245056, -0.40686991810798645, -0.3532017171382904, 0.799045979976654, -0.9571515321731567, -1.4563443660736084, 0.28258195519447327, 0.7305027842521667, -0.25970956683158875, -0.4600377678871155, 0.7892997860908508, 0.20738384127616882, -0.2814222276210785, 1.2080082893371582, -0.9581372737884521, -0.3604156970977783, 0.3971996009349823, 0.890181839466095, -0.2532103657722473, -0.2816547155380249, 1.529122233390808, -0.424860417842865, -0.2191074788570404, 0.4231935739517212, -0.7437822222709656, -0.31114673614501953, -0.8826072812080383, -0.10454251617193222, 0.16524724662303925, -0.9538712501525879, 1.5671623945236206, -0.372289776802063, -0.23934000730514526, 0.632194995880127, 0.41039958596229553, -0.5523207783699036, 0.19920392334461212, -0.5846434831619263, 0.10247296094894409, -0.432991087436676, -0.25768375396728516, -0.5222166180610657, 0.5175216197967529, 2.0918657779693604, -0.9925748705863953, -0.4625545144081116, 0.4404395818710327, -0.1713482141494751, 0.6154612898826599, 0.41295409202575684, 0.4037173092365265, -1.0443172454833984, 0.15379901230335236, 0.7816377282142639, 0.7451896071434021, -1.002275824546814, 0.06634251028299332, 0.23838871717453003, -1.264472246170044, -0.06982865929603577, -0.475919246673584, 0.34529805183410645, 0.13342861831188202, -0.15710674226284027, 0.16352996230125427, -0.07859324663877487, -0.2843613624572754, 0.25013336539268494, -1.5257331132888794, 0.477024644613266, -0.002248433418571949, 0.6063453555107117, -0.21326225996017456, 0.8972134590148926, -0.4685850441455841, 1.1145925521850586, 0.03283145651221275, 0.18715934455394745, -0.1290617138147354, 0.7309812903404236, -0.11924320459365845, 1.141525149345398, -0.22659896314144135, -0.735299825668335, -0.7788355350494385, -0.27474457025527954, 0.3770262598991394, -0.3774479925632477, 0.6658505201339722, 0.7705901861190796, 0.17434045672416687, 0.7002251148223877, 1.0873534679412842, 0.4509478509426117, -0.4355733394622803, 0.596318244934082, -0.5678778886795044, -0.8717287182807922, -0.9993031024932861, 0.6208527088165283, 0.8091717958450317, 0.44017329812049866, 0.5188949108123779, -1.2430431842803955, -0.5577210783958435, -0.4639453589916229, -1.0512834787368774, 0.5923395156860352, 0.18227583169937134, 0.4038515090942383, -0.1790541410446167, -0.3127371072769165, -0.08543791621923447, 0.14309599995613098, 0.12763234972953796, -0.12471148371696472, -0.48117557168006897, 0.20241999626159668, -0.23326514661312103, -0.6197863817214966, -0.2508825659751892, 0.7118529677391052, -0.711554765701294, -0.824406623840332, -0.3683900237083435, 0.4721595048904419, -0.18968796730041504, -0.921210765838623, -0.5124666094779968, 0.05291184037923813, -0.5676060914993286, 1.2106026411056519, -0.8028250932693481, 0.6312080025672913, 1.0391361713409424, -1.429369330406189, -0.8732825517654419, -0.12063255161046982, 0.8249393701553345, -0.4124927222728729, 0.8746445178985596, 0.4898735582828522, 0.07156436890363693, 0.012201122008264065, 0.632926344871521, -0.4035780429840088, -0.8329365849494934, -0.888679563999176, 0.7414088249206543, -0.9480070471763611, -0.2154962122440338, -0.8579568266868591, -1.0007102489471436, -0.01916525512933731, 0.6055071353912354, 0.5371618270874023, -0.025508929044008255, 0.1892382800579071, 0.6035367250442505, 0.25705257058143616, -0.06002160906791687, -0.9165772795677185, -0.46919921040534973, -0.5400386452674866, -0.7647809982299805, 0.6035732626914978, 0.13421118259429932, 0.36226755380630493, -0.6289100646972656, 0.2648385763168335, 0.9970743656158447, 0.9136419296264648, -0.39929378032684326, -0.7651790976524353, 0.17967858910560608, -0.09310547262430191, -0.8084670305252075, -1.2069586515426636, 0.5611007213592529, -0.3607948422431946, -1.1881325244903564, 1.2002193927764893, -0.04555090144276619, 0.9872423410415649, 0.6972153782844543, 0.3354050815105438, 0.15263189375400543, -0.5823501944541931, -0.4532293975353241, 1.0694857835769653, 0.0769241452217102, 0.9713014364242554, 1.0437824726104736, -0.18589237332344055, -0.1751066893339157, -1.6658871173858643, 0.014769046567380428, -1.6200673580169678, 0.6905596852302551, -0.5327503085136414, 0.3203638195991516, -0.8820714950561523, -0.9037267565727234, -1.1889923810958862, -0.8688504099845886, 0.12404897809028625, 0.05135994404554367, -1.0272839069366455, 1.1336208581924438, 1.561271071434021, -0.04266424477100372, -0.6515796184539795, -0.5851193070411682, -0.6746184229850769, 0.5400195121765137, -0.26135745644569397, 0.3037421703338623, -1.3383610248565674, -0.2064206302165985, -0.30110782384872437, -0.4573778212070465, 0.020227909088134766, -0.6147196292877197, 1.4288926124572754, -0.4891365170478821, -0.16207320988178253, -0.6032865047454834, 1.1158853769302368, 0.730135977268219, -0.2100980132818222, -0.560353696346283, 1.0095049142837524, -0.7533628344535828, 0.4972558617591858, -0.09242834895849228, -0.09090255200862885, -0.037109605967998505, 0.19112049043178558, 0.047319624572992325, 0.10565666109323502, 0.38592496514320374, 0.13947026431560516, -0.7448620796203613, -0.06809306144714355, 1.7050021886825562, -0.62450110912323, 0.219508558511734, -0.09764723479747772, -0.5433361530303955, 0.04640115052461624, 1.4253568649291992, 0.6944485902786255, -0.7613124251365662, -0.24238303303718567, 0.2096753716468811, -0.4831897020339966, 0.4897669553756714, -1.635232925415039, 0.35910484194755554, 0.8135021328926086, 0.18169671297073364, -0.469817578792572, -0.5091688632965088, -0.12950092554092407, -0.6327979564666748, -0.022555511444807053, 0.2477809637784958, -1.6169393062591553, 0.20354098081588745, -0.12618741393089294, -0.5458945035934448, -1.5937860012054443, -0.004075579345226288, 0.3003362715244293, 0.8689852952957153, 0.7272291779518127, 0.51296067237854, 0.059130098670721054, 1.066678762435913, -0.5551573634147644, 0.3313940167427063, -0.34190288186073303, 0.28777721524238586, -0.8451813459396362, 1.3256372213363647, -1.0062499046325684, 0.3248293697834015, -0.4412183165550232, 0.6477237343788147, 0.3801251947879791, -1.527513027191162, 0.2922424077987671, 0.20671217143535614, 0.5357493162155151, -1.7471165657043457, 0.1057315468788147, -0.251492977142334, 0.913604736328125, -0.5658337473869324, -0.18247799575328827, -0.08521577715873718, -1.2766603231430054, 0.8130765557289124, 0.12722063064575195, -0.9006609916687012, 0.6901286244392395, -0.3287934958934784, 1.1835585832595825, 2.638456106185913, 0.9536533355712891, -0.01975826732814312, 0.5318631529808044, 0.7809473276138306, 0.19557695090770721, 0.09512078762054443, -0.6930183172225952, 1.1344959735870361, 0.3296007812023163, -1.04285728931427, 0.4857926666736603, 1.0478053092956543, -0.2676691710948944, 0.22662080824375153, 0.5331218838691711, 0.43288305401802063, 0.06360812485218048, -0.9349855184555054, 1.1877238750457764, -0.5945594906806946, -0.24406813085079193, -0.9656028151512146, -1.468910813331604, -1.1237108707427979, 1.063790202140808, 0.53559410572052, -0.7944202423095703, 0.47240400314331055, -0.12316250056028366, 0.12648487091064453, 0.6533774733543396, 1.2661703824996948, 1.440798044204712, -0.3085574805736542, -0.47525855898857117, -2.8211300373077393, -0.4627130925655365, -1.4121754169464111, 1.6547507047653198, -0.6297596096992493, 0.12561070919036865, 0.4562380611896515, 0.03107365034520626, 0.3922792673110962, -0.4197726249694824, 0.021243195980787277, -1.3463860750198364, 0.40562376379966736, -0.40395456552505493, 0.19034577906131744, 0.9548002481460571, -0.38005414605140686, -0.10500915348529816, 0.0997418761253357, -0.16676005721092224, 1.0287573337554932, -1.713125467300415, 0.3074132204055786, -0.050866320729255676, 0.030137458816170692, -0.13188950717449188, -0.8547863364219666, 0.37460654973983765, -0.5677770972251892, -1.4061975479125977, 0.3183494806289673, -1.5473788976669312, -0.4060903489589691, -0.20333772897720337, -0.11543887108564377, -0.13520269095897675, 0.05782659724354744, 0.8172427415847778, 0.43073856830596924, -8.015030860900879, 0.14163938164710999, 0.17595642805099487, -1.1402759552001953, 0.46365416049957275, 0.20804084837436676, -1.0355631113052368, -0.33025434613227844, -0.5473499894142151, 0.8326376676559448, 0.38940003514289856, 0.45536789298057556, -1.1826201677322388, -0.2871818542480469, -1.2384577989578247, -0.8499645590782166, -0.2626311779022217, 0.5214599370956421, 0.2667275369167328, 1.4291611909866333, -1.8331000804901123, 0.9062923789024353, -0.21126173436641693, -0.2278527319431305, 1.1935138702392578, -0.6280063986778259, -0.008723794482648373, 1.0381224155426025, -0.35609573125839233, 0.5874525904655457, -0.520324170589447, 2.259857654571533, -0.9392500519752502, 0.17985020577907562, -0.238523930311203, -0.2778868079185486, 1.7826110124588013, 0.6067188382148743, 0.4755728244781494, -1.1647353172302246, 0.18372024595737457, -0.297175794839859, -1.4216830730438232, 0.5676523447036743, 0.3912394642829895, 0.6491665244102478, 0.6313220858573914, -0.08988677710294724, -0.2471746951341629, -0.500363826751709, -1.18079674243927, 0.3746097981929779, 0.1277589350938797, 0.4486826956272125, -0.6200942397117615, -0.43075111508369446, -1.1434741020202637, -0.4346100389957428, -0.5344470143318176, -0.6322365999221802, 0.366526335477829, -0.18653663992881775, 0.111617311835289, 0.10390159487724304, 0.5110864043235779, -0.4044797718524933, -0.8232356309890747, 0.3430901765823364, 0.3620353937149048, 0.5042611360549927, 0.5419339537620544, -1.4605664014816284, -1.1246017217636108, -0.14677132666110992, -0.5026814341545105, -0.22198805212974548, 0.25071725249290466, 0.06324195116758347, 0.5958907008171082, -0.004227351397275925, 0.14805631339550018, 1.1873036623001099, -0.2639215886592865, 0.6748644709587097, -0.43973878026008606, -1.2157269716262817, -0.22142164409160614, -0.16049769520759583, 1.0698262453079224, -0.6192142367362976, 0.23454856872558594, -0.5314498543739319, -0.20893129706382751, -1.0899827480316162, 0.8818228244781494, 0.8167091608047485, 0.10451186448335648, -0.45915403962135315, -1.1240969896316528, -1.5175087451934814, -1.3489649295806885, -0.20389631390571594, 0.2740759253501892, 0.45622897148132324, -0.7658771276473999, -0.2209395319223404, 0.06807573139667511, 0.7842419743537903, -0.13489331305027008, -1.2918108701705933, -0.5631568431854248, -0.9883954524993896, 0.2278842031955719, -0.3848860561847687, 0.31153035163879395, -0.8014418482780457, -0.3160756230354309, -0.1424289494752884, 0.22593551874160767, 0.47494831681251526, 1.4339271783828735, -0.36652612686157227, -1.692173957824707, 1.088841199874878, 0.21255630254745483, -1.5743205547332764, 0.7784378528594971, -0.6708734035491943, 0.23139114677906036, -1.0048948526382446, -0.9986058473587036, -0.9988692402839661, -0.2848145663738251, -0.4538578391075134, -0.4616107642650604, -0.2552238702774048, -0.1851343810558319, 0.628128707408905, 0.35832181572914124, -0.22702686488628387, 1.2786917686462402, 0.3373333513736725, -0.41891419887542725, 0.042757824063301086, 0.774361252784729, -0.9429243803024292, 0.1490788459777832, -0.3831872344017029, -1.177266001701355, -0.24328987300395966, 0.9253113865852356, -0.21258699893951416, 0.297853946685791, 2.0790975093841553, -0.49635928869247437, 0.4812416136264801, -0.33397114276885986, 0.7522071003913879, -0.5869054198265076, -0.5458791851997375, 0.8740506172180176, 0.08385539799928665, 0.07779563218355179, 1.1588214635849, -0.4629887044429779, -1.1173800230026245, 0.38622021675109863, 1.505956768989563, -0.598280668258667, -0.9964706301689148, -0.342319130897522, 0.21456632018089294, -1.0395457744598389, -0.3128383755683899, 0.18270297348499298, 0.38276389241218567, -1.1084203720092773, 0.5902376174926758, -0.19057384133338928, 0.2571007311344147, 0.4122089445590973, 0.778805673122406, 0.011143766343593597, -0.24973039329051971, 0.30194994807243347, 1.4367177486419678, -0.9767937064170837, 0.5638197660446167, -0.21567916870117188, 0.36100876331329346, -0.22620031237602234, -0.12417840212583542, 0.822256326675415, 0.2812362015247345, -0.10884490609169006, 0.10718122124671936, -0.13969756662845612, -0.2560119330883026, 0.21662229299545288, -1.0328367948532104, -0.3415851593017578, 0.16876105964183807, 0.8319496512413025, -0.11341571062803268, -0.25972047448158264, 0.4858115315437317, -0.7480862140655518, 0.1024448573589325, -1.0474060773849487, 0.505500316619873, -0.4605366587638855, -0.0685599222779274 ]
134
0704.0136
Zihua Weng
Zihua Weng
Compounding Fields and Their Quantum Equations in the Trigintaduonion Space
17 pages
null
null
null
physics.gen-ph
null
The 32-dimensional compounding fields and their quantum interplays in the trigintaduonion space can be presented by analogy with octonion and sedenion electromagnetic, gravitational, strong and weak interactions. In the trigintaduonion fields which are associated with the electromagnetic, gravitational, strong and weak interactions, the study deduces some conclusions of field source particles (quarks and leptons) and intermediate particles which are consistent with current some sorts of interaction theories. In the trigintaduonion fields which are associated with the hyper-strong and strong-weak fields, the paper draws some predicts and conclusions of the field source particles (sub-quarks) and intermediate particles. The research results show that there may exist some new particles in the nature.
[ { "created": "Mon, 2 Apr 2007 07:37:17 GMT", "version": "v1" }, { "created": "Fri, 7 Sep 2007 09:10:51 GMT", "version": "v2" } ]
2011-11-09
[ [ "Weng", "Zihua", "" ] ]
07
[ 0.29720446467399597, 0.7419310212135315, -0.4848461449146271, 0.15707527101039886, 0.3642983138561249, -0.6661005020141602, -1.7368054389953613, 0.41820505261421204, -1.4202184677124023, -0.5847715735435486, -0.4132980406284332, 0.8852446675300598, -0.19506731629371643, 1.3762964010238647, -0.6351999640464783, -0.2847210764884949, -1.4990812540054321, -0.17219342291355133, 0.23486679792404175, 0.21728214621543884, 0.12955990433692932, 0.2225799560546875, -0.7154409885406494, -1.0166900157928467, -0.60636305809021, 0.43551015853881836, -1.212559461593628, 0.505318284034729, 0.21878160536289215, 0.3614698052406311, -0.4343048930168152, 0.4808414876461029, -0.15288974344730377, 0.7592501640319824, 0.42755499482154846, 0.3912772834300995, 0.4551653563976288, -2.2751495838165283, -0.722396194934845, -0.6099169850349426, 1.1988859176635742, 0.4794926643371582, 0.21862709522247314, 0.22323179244995117, -0.7037841081619263, -0.7734124064445496, 0.3884347081184387, 0.6014365553855896, -0.3389529287815094, -1.2421454191207886, 0.5362922549247742, 1.0109403133392334, -0.0620386004447937, 0.6972368359565735, 0.8371956944465637, 0.42763209342956543, -0.9977940320968628, -0.023875094950199127, -0.05905967205762863, -0.17708097398281097, -0.37033072113990784, -1.2222707271575928, -0.44759321212768555, 0.8957599997520447, -0.9331494569778442, -0.031321242451667786, 0.11871932446956635, 0.31020405888557434, 0.7596067786216736, 1.264409065246582, -0.7319664359092712, 0.37502050399780273, -0.9368305206298828, -0.8548461198806763, -0.8864203691482544, -1.1967889070510864, -0.9188755750656128, 0.26559460163116455, 0.5711338520050049, 0.4559534192085266, 0.62055504322052, 1.0651379823684692, -0.8895663022994995, -1.543117642402649, -0.1408054679632187, -0.05779677629470825, -0.3573509454727173, 0.351525217294693, -0.2229725867509842, 1.0799797773361206, 0.02478889375925064, -1.6569851636886597, 0.9437039494514465, 0.4937842786312103, 1.0916575193405151, 0.23207680881023407, 0.33532217144966125, -0.2415054440498352, 0.7937292456626892, -0.13169249892234802, -0.6996528506278992, 0.12002036720514297, 0.22153910994529724, 0.2522372007369995, -0.3663603663444519, 0.39948970079421997, -0.13274382054805756, -2.137705087661743, 0.07099045813083649, 0.7670777440071106, 0.026194728910923004, -0.8848413825035095, -1.161128044128418, -0.8196613788604736, 0.8173190951347351, 1.9456807374954224, -0.343487948179245, 0.42553168535232544, 0.06934945285320282, 1.307289481163025, 0.33947497606277466, 0.2729130685329437, -0.3826809227466583, -0.23067761957645416, 1.0047532320022583, -0.4000822901725769, -0.8080416321754456, -0.4385336935520172, 0.7094315886497498, 0.33051612973213196, 0.19601956009864807, -0.4675145745277405, 1.0027778148651123, 1.267529010772705, -0.5911991596221924, -0.1541128009557724, -0.6159266233444214, 0.0261343102902174, 1.5488226413726807, 0.29025840759277344, -0.7981646656990051, -0.4998093545436859, 0.09762222319841385, 0.49432069063186646, 1.433799386024475, -0.49973466992378235, -0.8537724614143372, -1.2307016849517822, 0.4547727406024933, -1.0010095834732056, -0.01360706053674221, -1.1317791938781738, -0.30737683176994324, 0.24203646183013916, -0.4976252019405365, 0.5064814686775208, 0.16397355496883392, 1.0045534372329712, -0.6635463237762451, 0.5374377369880676, -0.20553788542747498, -1.1839814186096191, 0.8446205258369446, -1.8467259407043457, 0.38798242807388306, 0.1982043981552124, -0.09214059263467789, 0.43517398834228516, 0.2954876720905304, -0.5170816779136658, 0.34160274267196655, -1.410961389541626, 0.20445913076400757, 0.20083577930927277, 0.2000187784433365, -1.5863821506500244, -0.013767206110060215, 0.4759671986103058, -0.4397651255130768, 0.3607333302497864, 0.14064942300319672, -0.4452153444290161, -0.14237669110298157, -0.2526441216468811, -0.09470948576927185, 0.663503110408783, -0.5441700220108032, -1.7027027606964111, -0.11966627091169357, -0.47810307145118713, -0.9771584868431091, 0.28883013129234314, 0.10395163297653198, 0.14349916577339172, 0.07588891685009003, 1.4763911962509155, -0.2644645869731903, 0.39616212248802185, -0.1910519152879715, 0.44055113196372986, 0.10920606553554535, 0.9697205424308777, 0.3404324948787689, 0.6924238801002502, -1.0782347917556763, 0.4344339370727539, -0.5935128331184387, 0.7857189774513245, 0.10057996213436127, -0.3774375021457672, -0.22717420756816864, -0.8532407283782959, -0.03144869580864906, -0.15812048316001892, 1.2649791240692139, -0.8025028109550476, 0.6829731464385986, -0.2892874479293823, 0.18903188407421112, -0.5024492740631104, -0.675761342048645, 1.3021091222763062, -0.002273064572364092, 0.4763484001159668, 0.2558121979236603, 0.600744366645813, 1.2664403915405273, -0.1693085879087448, 0.722335934638977, -0.41133829951286316, -0.00848396122455597, -1.029435634613037, -0.33880379796028137, -0.563123881816864, 1.16335928440094, -0.23143699765205383, -0.8108563423156738, 0.15274301171302795, -0.866108775138855, -0.27036234736442566, -0.2693920135498047, 0.10385598242282867, -1.0679101943969727, -0.6512583494186401, -0.6553208231925964, -0.2984074056148529, -0.01102169044315815, 0.3788550794124603, 0.06689710170030594, 0.06218952685594559, -1.631104588508606, -0.1759009063243866, -0.23037824034690857, -0.822618842124939, 0.15134446322917938, 1.1944533586502075, -0.09795556217432022, -0.10383237898349762, -1.564990520477295, 0.34995049238204956, 0.5214268565177917, 0.10250331461429596, -0.18426859378814697, -0.4156152009963989, -0.49369025230407715, 0.10676679760217667, 0.2847379148006439, 0.046994131058454514, -0.16025178134441376, -1.0716462135314941, -1.543127417564392, -0.17381130158901215, 1.3608837127685547, 0.5887446999549866, 0.5496609807014465, -0.28204500675201416, 0.3657449781894684, -0.23361065983772278, -0.025367433205246925, -0.6771040558815002, -0.4194640815258026, 1.6518867015838623, -0.38386693596839905, 0.7392905950546265, 1.0770829916000366, -1.6475727558135986, 0.8459895253181458, -0.17299272119998932, 0.09392575919628143, -0.4621995985507965, -0.6270332932472229, -1.3291419744491577, -0.3624560534954071, -0.04767575487494469, 1.0897473096847534, -0.4726684093475342, -0.06241998448967934, -1.4027560949325562, 0.4641926884651184, -0.6061244010925293, 1.1676552295684814, 1.0869619846343994, 0.38571757078170776, -0.4688497483730316, 0.8724930882453918, -0.14209824800491333, 0.55909663438797, 0.8866039514541626, -1.313880443572998, -0.9518179893493652, 0.7546812891960144, -0.2703258991241455, 0.613627552986145, -0.02224505878984928, 1.0715627670288086, -0.11672012507915497, -1.2808550596237183, 0.21339109539985657, -0.2902672290802002, -0.467792809009552, 1.6816036701202393, 0.02332635410130024, 1.125717282295227, 0.9483394026756287, -0.4021446704864502, 0.05045820027589798, 0.5364523530006409, -0.09800355136394501, 1.1537073850631714, -0.4957641661167145, 0.11578856408596039, 0.34686318039894104, -0.5158660411834717, 0.7651804089546204, -0.9370178580284119, -0.4491479992866516, -0.06857675313949585, 0.32638636231422424, 0.8618679642677307, -0.6474937796592712, -1.056761384010315, -0.3165852129459381, -0.36618196964263916, 0.5205668210983276, -0.6243676543235779, -0.16484765708446503, 0.18690086901187897, 0.41636648774147034, -0.47812336683273315, 1.0857374668121338, -1.0777816772460938, -1.2995861768722534, 0.8446760773658752, 0.5222775340080261, -0.20429949462413788, 0.0970361977815628, 0.4506872296333313, 0.21309740841388702, 0.28634217381477356, 0.133424773812294, -0.7600525617599487, 0.03309369459748268, 0.8168208003044128, 0.01263069361448288, 0.004981825593858957, 0.08552489429712296, -0.2404230386018753, -0.42448511719703674, -0.6861727833747864, 0.17560675740242004, -0.09107889235019684, -0.03745611384510994, -0.8908525109291077, -0.9737966060638428, 0.4402949810028076, 0.12104439735412598, -0.356224000453949, 0.30507558584213257, 0.010456476360559464, -0.8003830909729004, 0.0935221016407013, -1.2436819076538086, 0.3278706669807434, -0.02108580619096756, -0.24823574721813202, 0.8337422609329224, -0.6682198643684387, -0.8710037469863892, 0.5741396546363831, -0.014995265752077103, -0.558431088924408, -0.07302016764879227, -0.17465637624263763, -0.46329548954963684, -0.49746832251548767, 1.9032704830169678, 1.61459219455719, 0.14650346338748932, 0.41748374700546265, 1.5382274389266968, 0.4037438631057739, 0.17341472208499908, -0.7260662317276001, -0.9962623715400696, -1.455315113067627, -0.8193527460098267, 0.625493049621582, -0.10677692294120789, -0.6432380080223083, -0.03657248243689537, -1.2676024436950684, 1.102095365524292, -0.37475261092185974, -0.16514159739017487, -0.6899120807647705, -0.01798533834517002, 0.871857762336731, 0.9039124250411987, -0.2529725432395935, -0.4603021442890167, -0.09474347531795502, -0.7949196100234985, 0.32436656951904297, 1.7894078493118286, 0.2725425660610199, 0.009381422773003578, 0.29362690448760986, -0.6854221820831299, -0.5859827399253845, -0.10177984088659286, -0.2638309597969055, 0.3040368854999542, -0.14461936056613922, 0.5033488869667053, -1.7474647760391235, 0.24823176860809326, 0.5064620971679688, -0.14934347569942474, -0.2410498410463333, -0.12438362091779709, -0.1342163234949112, 0.2798115909099579, 0.4596880078315735, -0.8030593991279602, 0.08551957458257675, 0.5738015174865723, -0.6820405125617981, 0.34947097301483154, 0.04116825759410858, -0.2358090579509735, -0.46128901839256287, 0.6020079255104065, -0.1827607899904251, 0.17921246588230133, -0.2922552227973938, -0.02328285202383995, -0.14159943163394928, 0.08293203264474869, -1.214896559715271, -0.6772179007530212, -0.7305169701576233, 0.33456194400787354, 0.10528580844402313, -1.861158013343811, -0.06024817004799843, -0.08683782815933228, 0.17050455510616302, -0.34616994857788086, -0.5885376930236816, 0.6223746538162231, 0.8351755738258362, 0.2070988565683365, -1.03233802318573, 0.22909770905971527, 0.11910121142864227, -0.7372053861618042, 0.7189545035362244, 1.3465098142623901, 1.2249128818511963, 0.7933831214904785, 0.7070283889770508, 1.3191323280334473, -0.6695324182510376, -0.5254284739494324, 0.06515351682901382, -0.38940882682800293, -1.127098560333252, 0.48544076085090637, -1.9935816526412964, 0.39086470007896423, 0.36684492230415344, 0.4306723177433014, -0.591815710067749, 0.11316622048616409, -0.07829440385103226, 0.1955469250679016, -0.4142427444458008, -1.458386778831482, 0.220380961894989, 0.13494667410850525, -0.2510363757610321, -0.09468892216682434, 0.8299937844276428, -1.1789597272872925, -0.7576047778129578, -1.4770561456680298, 0.2910463213920593, -0.25564518570899963, -0.012191164307296276, -1.5939165353775024, -0.09219927340745926, -1.3859812021255493, -0.2580282688140869, 0.3895717263221741, 0.35118821263313293, 0.40512701869010925, -0.24403129518032074, -3.0523736476898193, 0.7192185521125793, -0.422518253326416, -0.017739957198500633, -0.7450907230377197, 0.08576837927103043, -0.3661521077156067, 0.5280559659004211, -0.2959810197353363, 0.6995095014572144, 0.16120903193950653, -0.5750155448913574, 1.7962290048599243, -0.08982066810131073, -0.4271436333656311, 0.8374890685081482, -0.9785589575767517, 0.2074991911649704, -0.0779305174946785, -0.1754261702299118, -0.6577094197273254, 0.21792012453079224, 0.4134891927242279, -0.4103851914405823, 0.523678183555603, -1.3315263986587524, 0.4420258700847626, 0.0818716287612915, -0.4893791377544403, 0.18933534622192383, -0.4226140081882477, 0.29722073674201965, 0.31731945276260376, 0.4639381468296051, 0.14181238412857056, 0.24878685176372528, 0.33672812581062317, 0.29216817021369934, -0.5227845311164856, -8.69278335571289, -0.07335706800222397, -1.0294619798660278, -0.1399642825126648, 0.5774796009063721, -1.3989322185516357, 0.572219967842102, -0.9070705771446228, 0.34813618659973145, 0.32031717896461487, 0.75147545337677, 0.2701224088668823, -0.43822506070137024, -1.0941035747528076, -0.5084320306777954, 0.03975671902298927, -0.8996174931526184, 0.10224951803684235, -1.1260042190551758, -0.05538871884346008, 0.037138789892196655, 0.052395813167095184, -1.4260505437850952, 0.23745451867580414, 1.9483466148376465, 0.3860267996788025, 0.13957934081554413, -0.800697922706604, 0.07990644872188568, 0.2810876965522766, 0.28460100293159485, -0.4945896565914154, -0.021760940551757812, 1.1485050916671753, 0.5123392343521118, -0.37252092361450195, 0.10700202733278275, 0.5695531368255615, -0.21153011918067932, -1.2160178422927856, -0.24088449776172638, 0.1831761747598648, 0.17374883592128754, -0.6359895467758179, -0.00833150465041399, -0.3785005807876587, 0.15471693873405457, 0.14373652637004852, -0.7048962712287903, -0.6934753060340881, 0.3824465870857239, -0.3007446229457855, 0.050564926117658615, 0.6033992171287537, 0.29374051094055176, -0.5908226370811462, 1.376335620880127, -0.17455875873565674, -1.8492377996444702, -0.4019627571105957, 0.8653513193130493, -1.4767740964889526, 0.4594328701496124, 0.026361260563135147, 0.3040585517883301, -0.4617135226726532, -0.3222372531890869, -0.4201035499572754, 0.43427780270576477, -0.5618212223052979, -0.8675337433815002, 0.056105341762304306, 0.42337730526924133, -0.23469839990139008, -0.35687294602394104, -0.13216426968574524, -0.5457311272621155, -0.09992694854736328, -0.23431220650672913, 0.7914416193962097, 0.9985880851745605, 1.3317134380340576, 0.23161916434764862, 0.48384565114974976, -0.9649600982666016, -0.1816149652004242, 0.5954872369766235, -0.742205023765564, 1.1643257141113281, -1.0759414434432983, -0.08352458477020264, 0.20728199183940887, 0.2956995666027069, 0.019495975226163864, -0.5625426173210144, 0.8535165190696716, 0.961171567440033, -2.0144460201263428, 0.5581635236740112, 0.6370634436607361, -1.1657687425613403, 0.26692238450050354, -0.433835506439209, 0.3061038851737976, 0.5215864181518555, -0.23250257968902588, -0.04320485517382622, 0.805463969707489, -0.4087740182876587, -0.29938265681266785, 0.2108805924654007, 0.5347311496734619, -0.7853348851203918, 0.019092774018645287, -0.8445984125137329, -0.214241623878479, 0.02487521804869175, 0.9727039337158203, 0.02845044992864132, -0.41007936000823975, -1.3166874647140503, 1.4006999731063843, 0.5527496933937073, -1.0566548109054565, 0.3003118336200714, -0.2997501492500305, -0.8275342583656311, -0.07928090542554855, -1.1568903923034668, 0.12851476669311523, -0.20466239750385284, -0.14907222986221313, 0.1757519543170929, -0.24729523062705994, -0.060733601450920105, -0.04509517922997475, -0.5634902715682983, 0.5165953040122986, -0.016635295003652573, 1.407098650932312, 0.4661570191383362, 0.49213600158691406, 1.0886720418930054, -0.797266960144043, 0.5614880323410034, -0.8980997204780579, -0.3351336121559143, 0.49924227595329285, -0.6067976951599121, 0.880462110042572, -0.6923194527626038, 0.7504360675811768, 1.5052367448806763, 1.503379225730896, -0.4090748727321625, 0.3640478253364563, 0.06536348164081573, 0.674039900302887, 0.043865155428647995, -0.231219083070755, 0.0712340772151947, -0.821135938167572, -0.5184175968170166, 1.4410085678100586, -0.3733862638473511, -0.0218119528144598, -1.1496562957763672, -0.6715437173843384, -0.019652998074889183, -0.5635234117507935, 0.7331728935241699, 0.3680955171585083, 0.8275042772293091, -0.4197904169559479, -0.16972073912620544, 0.4572526514530182, 0.49842965602874756, -0.7373769879341125, 0.08395146578550339, 0.25951653718948364, 0.26897668838500977, 0.04953886941075325, 0.6621315479278564, -0.24691899120807648, -0.35076555609703064, 1.5975483655929565, -0.9890115857124329, 0.2956540882587433, -0.005275225266814232, 1.1416327953338623, 0.14319850504398346, 0.6027145981788635, -0.4250870943069458, 0.5276338458061218, -0.9513912200927734, -0.5668591260910034, -0.038846492767333984, 0.7346825003623962, 0.5067849159240723, -0.5247601270675659, 0.5935924053192139, -0.9573519229888916, 1.182072401046753, 0.098099485039711, 0.6164684295654297, 0.06961490958929062, -0.13777858018875122, 0.024885037913918495, -0.03289368003606796, 0.3386686444282532, 0.7076942324638367, -0.30756786465644836 ]
135
0704.0137
Suresh Tiwari dr
S C Tiwari
Topological defects, geometric phases, and the angular momentum of light
No figures
Optik-International Journal for Light and Electron Optics, 120, 414-417 (2009)
null
null
quant-ph
null
Recent reports on the intriguing features of vector vortex bearing beams are analyzed using geometric phases in optics. It is argued that the spin redirection phase induced circular birefringence is the origin of topological phase singularities arising in the inhomogeneous polarization patterns. A unified picture of recent results is presented based on this proposition. Angular momentum shift within the light beam (OAM) has exact equivalence with the angular momentum holonomy associated with the geometric phase consistent with our conjecture.
[ { "created": "Mon, 2 Apr 2007 08:04:02 GMT", "version": "v1" } ]
2009-05-15
[ [ "Tiwari", "S C", "" ] ]
07
[ -0.021434657275676727, -0.026898115873336792, 0.60039883852005, 0.46411874890327454, 1.1840534210205078, -0.14637671411037445, -0.2939561605453491, 0.7378284931182861, -1.1480062007904053, -1.1510324478149414, -0.39564207196235657, -0.5091094970703125, -1.9570305347442627, 1.8061679601669312, 0.37345248460769653, -0.6741166710853577, 0.25130563974380493, -0.6670156717300415, -0.1090882197022438, 0.8807496428489685, -0.4299284517765045, 0.39438244700431824, -0.3947153091430664, -0.24347928166389465, -0.0401037335395813, -0.6472886204719543, 0.8927869200706482, -1.0214709043502808, -0.289450079202652, 0.14025011658668518, -0.37859511375427246, 0.24791565537452698, -1.1304104328155518, 0.1961079090833664, -0.23533488810062408, -0.2520700693130493, -0.10222391784191132, -0.535084068775177, -1.0196419954299927, -1.1984738111495972, -0.7556470632553101, 0.9177891612052917, -0.054235171526670456, 0.25956302881240845, -0.39605674147605896, -0.3180536925792694, -0.5397944450378418, 0.3935520350933075, 1.089869499206543, 0.13030238449573517, -0.1441921889781952, 2.617993116378784, 1.1040327548980713, -0.5811293125152588, 0.42386090755462646, 0.22850438952445984, 0.8641265034675598, 0.0029996943194419146, 0.8529735207557678, -1.2361607551574707, 0.39585959911346436, 0.3705701231956482, 0.037970058619976044, 0.33104196190834045, 0.452303409576416, -0.15786966681480408, -0.6256112456321716, -0.6191781759262085, -0.18715989589691162, 0.6944641470909119, -1.0569236278533936, -0.8596368432044983, -0.1696014255285263, 0.010741177015006542, 0.36843737959861755, 0.07221826165914536, 0.19731172919273376, -0.1814158707857132, 0.4791586101055145, 2.778007984161377, 0.09355081617832184, 0.9833008646965027, -0.12386463582515717, -0.12192822247743607, -0.6729907989501953, -0.3011295795440674, 1.5635356903076172, -0.47209152579307556, -0.7372676730155945, -0.6665353775024414, 0.9892022013664246, -0.37803223729133606, 0.3144364058971405, -1.0443718433380127, 0.4608829915523529, 0.9410342574119568, -0.21146254241466522, 0.0491948164999485, -0.005992276594042778, 0.5855827331542969, 0.69269198179245, 0.4009675085544586, -0.4124182164669037, -0.1865192949771881, 0.38115590810775757, 0.573300838470459, -0.4513651430606842, 0.2428690493106842, 0.09956830739974976, 0.4425903260707855, 0.25136545300483704, 0.0023454364854842424, 0.3065578043460846, -0.4360247850418091, -0.3128575384616852, 0.2754133641719818, -1.0753215551376343, -0.5889122486114502, -0.2062494307756424, 0.13771066069602966, -0.5217164754867554, -1.1042985916137695, -0.3460550308227539, -0.4373486638069153, -0.0485231913626194, 1.3306900262832642, -1.2598620653152466, -0.4737231135368347, 0.34121501445770264, 0.8491955995559692, -0.47770482301712036, -1.31168532371521, 0.2999131679534912, -0.3960810899734497, -0.038736119866371155, -0.04294930025935173, -0.7204000353813171, 0.8156062960624695, -1.3802028894424438, 0.36322933435440063, -0.77734375, 0.17760111391544342, -0.41718849539756775, 0.44240841269493103, -0.3139643967151642, 0.16741174459457397, -0.31607386469841003, 0.42177945375442505, -0.9622644782066345, 0.6769419312477112, 0.3023110628128052, -1.2540422677993774, -0.051828041672706604, 0.1821717619895935, 0.7365601658821106, -0.4009735584259033, 0.1397789865732193, -0.19847452640533447, -0.4546983540058136, 1.0227735042572021, 0.305133193731308, 1.6867631673812866, -0.45765405893325806, 0.3756193518638611, 0.04749884828925133, -0.43459367752075195, -0.3161681592464447, -0.36889150738716125, 1.221973180770874, 1.6067442893981934, -0.3855811655521393, -0.44613003730773926, 0.09262288361787796, 1.9532432556152344, 0.8877758979797363, 0.7480267286300659, 1.5769585371017456, -0.8566100597381592, -0.9131367206573486, 1.2483859062194824, -0.09435656666755676, -0.9888488054275513, -1.1574746370315552, 0.1239992007613182, -0.3528687357902527, -1.3258817195892334, 1.291435956954956, -0.5090345740318298, -0.38293707370758057, -0.6649995446205139, -0.0757150873541832, 0.5898682475090027, -0.5560554265975952, -1.283917784690857, 0.18709616363048553, -0.3399839699268341, -0.6828818917274475, -0.00603444641456008, -0.2770479619503021, -0.21681582927703857, -0.7159188985824585, -0.25703075528144836, 0.09224165976047516, 0.33544921875, -0.5998907089233398, 0.4251750707626343, 0.08469934016466141, -0.34555062651634216, 1.4669870138168335, 0.47647717595100403, -1.0244258642196655, 0.4750410318374634, -0.2149164378643036, 1.0458643436431885, 0.5578521490097046, 0.3602132499217987, 0.4811929166316986, -0.30271536111831665, -0.8045434951782227, 0.1879592090845108, -0.7933884263038635, 0.9138227701187134, 0.2408580332994461, 0.37418487668037415, -0.5501033067703247, 0.6259965896606445, -0.1910814791917801, -0.7156293392181396, -0.6573701500892639, -0.6364638805389404, -1.257580280303955, -2.1288774013519287, 0.3290043771266937, -0.8546006083488464, -0.36447349190711975, -0.45065343379974365, -1.2333122491836548, -0.14308114349842072, -0.6851410269737244, -0.1393304467201233, -0.6010839343070984, 1.554364800453186, -0.7340877652168274, 0.29943355917930603, 0.18766391277313232, 0.5921241641044617, 1.321305513381958, -1.462557077407837, 0.566487729549408, 0.21216604113578796, 0.27297139167785645, 0.1339128166437149, -1.0519094467163086, -0.9690299034118652, 1.2784032821655273, -0.17675741016864777, 0.7787050008773804, -1.9563422203063965, -0.4016893208026886, 1.2658339738845825, -0.12217318266630173, -0.35886380076408386, 0.6389502882957458, -0.5630279183387756, -0.3897775709629059, -0.5814416408538818, 0.9213376641273499, -0.05356191471219063, -0.45583924651145935, 0.8545498847961426, 0.24091586470603943, 0.6320191621780396, 1.1065025329589844, -0.7822476029396057, 0.03236961364746094, -0.5510247349739075, 0.4423198699951172, 0.5036433935165405, -1.5046230554580688, 0.11545082181692123, -0.2992483377456665, 1.1317461729049683, 0.7403004765510559, 1.3030885457992554, 1.1407723426818848, 0.40290406346321106, 0.05822233110666275, -0.40173566341400146, -0.7568914890289307, -0.18664486706256866, 0.9038486480712891, -0.26961031556129456, -0.7543720006942749, 0.13069935142993927, -1.6424864530563354, -1.0776387453079224, 0.14521858096122742, 0.8637011647224426, -0.8423344492912292, -0.11300989985466003, -0.8937876224517822, 0.493064820766449, 0.3222804069519043, -0.3011491000652313, -0.03515635058283806, 0.13306529819965363, 0.17644497752189636, -0.8296440839767456, 0.800219714641571, -0.6564674377441406, -1.0022485256195068, 0.7456953525543213, -1.236546277999878, -0.7527088522911072, 0.6934332251548767, 0.793672502040863, 0.22694554924964905, -0.822834849357605, 0.09587914496660233, 0.1108492761850357, 0.2572823464870453, -0.5767112374305725, -0.25190916657447815, -0.5238523483276367, 0.5025409460067749, 0.5368373990058899, 0.6835511326789856, 0.6935511827468872, 1.6281611919403076, -0.5404151082038879, 0.3872905969619751, -0.21900373697280884, 1.0177958011627197, 0.6660658717155457, -0.6933858394622803, -0.5142614841461182, -0.42685458064079285, 0.6525139212608337, 0.9044466018676758, 0.17510606348514557, -1.8996812105178833, 2.137807846069336, 0.21106670796871185, -0.4289686977863312, -0.3356511890888214, -0.3017956018447876, -0.5192225575447083, 0.49582639336586, -0.6411711573600769, 0.6979734301567078, 0.05108420178294182, 0.3197304606437683, 0.5657112002372742, 0.8343433737754822, -0.2357969880104065, -0.9442610740661621, 0.6884310841560364, 0.5524792671203613, -0.7807773947715759, 0.5327199697494507, 0.702118456363678, 0.9871595501899719, -0.4099087417125702, -1.2291522026062012, 0.8281540274620056, -1.1399561166763306, 0.523231029510498, 1.828561544418335, 0.07359391450881958, -0.3457050621509552, -0.418897420167923, -0.1205531656742096, -0.20639824867248535, 0.3650083541870117, -0.4911220967769623, 0.12785044312477112, 0.1509288251399994, 1.355699062347412, 0.32721102237701416, -0.1464107632637024, -0.2639937996864319, 0.9708516597747803, 1.1970398426055908, -0.40333321690559387, 0.2738240361213684, 0.42177489399909973, 0.3212181031703949, 0.39892858266830444, -0.7889701128005981, -0.16082702577114105, -0.6506497263908386, 0.65728759765625, 0.15791025757789612, -0.2435169816017151, -2.0897157192230225, 0.39767441153526306, -0.4833851754665375, 0.6483592391014099, -0.5600888133049011, 0.9030653238296509, -0.18783439695835114, 0.1534641683101654, -0.48352301120758057, -0.48373159766197205, -0.47016751766204834, -0.39058443903923035, -0.47451654076576233, 0.1942569613456726, 0.12166661769151688, 1.275322675704956, -1.2075506448745728, -1.1253485679626465, -0.27782732248306274, 0.24963217973709106, 0.09255912899971008, 0.009777517057955265, -0.9496281743049622, 0.9706894755363464, -0.2804282605648041, -0.16971249878406525, 1.1268017292022705, -0.01564255729317665, 0.17883841693401337, 0.9331716895103455, -0.4339675009250641, 0.81102055311203, -1.2343847751617432, 0.5346291661262512, 0.4025565981864929, -0.6460509896278381, -1.130022644996643, -1.2965457439422607, 0.2711966335773468, -0.48454827070236206, -0.09657150506973267, -0.1286582350730896, 0.6910178661346436, 0.4481995105743408, -0.33804377913475037, -0.13325807452201843, -1.1017600297927856, -0.9807161688804626, -1.0545014142990112, -0.5659899115562439, -1.1138834953308105, 0.0017910945462062955, -1.1422700881958008, 0.7005254626274109, 0.07665598392486572, 0.15131135284900665, -0.4915654957294464, -0.11006184667348862, 0.09306902438402176, -0.8273265361785889, 0.18938034772872925, -2.0950632095336914, -0.3116064965724945, 1.1154102087020874, 0.15650758147239685, 0.7324148416519165, 0.36938273906707764, 0.6350433826446533, -0.7023188471794128, -0.5199211239814758, -0.17058402299880981, -0.5419682264328003, 1.4834011793136597, -0.19390250742435455, 0.7748778462409973, 0.4755050241947174, 1.0435625314712524, -0.05385215952992439, 0.6186569333076477, -0.4410938024520874, -0.24984538555145264, -0.27677688002586365, 0.9715213775634766, 0.9242933988571167, 0.9483321905136108, 1.2978287935256958, 1.3643735647201538, 0.44919589161872864, -0.1177351251244545, -0.46708256006240845, -1.8291081190109253, 0.2737211585044861, 0.5540925860404968, 0.30761992931365967, -1.2595053911209106, 0.059786926954984665, 1.647084355354309, -0.25894251465797424, -0.9665014743804932, -0.44178706407546997, -0.24304454028606415, -0.04982156679034233, -0.49816858768463135, -0.6641189455986023, 0.19511255621910095, 0.058023568242788315, -0.5572165250778198, 0.2947668433189392, -0.25169357657432556, -0.944225013256073, -1.4344472885131836, 0.4637276232242584, -0.755378007888794, 0.18243283033370972, 0.40086689591407776, 0.3347136378288269, -0.5952451229095459, -1.9314697980880737, 1.6804399490356445, -0.14764702320098877, -0.4945347309112549, -1.068228840827942, -1.063740611076355, -2.949472427368164, 0.07555050402879715, -0.7472659945487976, 0.5820760726928711, -0.5653098225593567, -0.2606549859046936, -1.0653704404830933, -0.5179588794708252, -0.14208506047725677, -1.1042217016220093, -0.04777640849351883, -0.2186897099018097, 0.7763479351997375, -0.18836049735546112, 0.5550134778022766, -0.6772451996803284, -0.08017253875732422, -0.05849098786711693, 0.1674153059720993, 0.2953985333442688, 0.10908397287130356, -0.14503206312656403, 0.9354024529457092, 0.2986273169517517, -0.7437795400619507, 1.0510801076889038, 0.2494579404592514, 1.2950489521026611, -0.24454505741596222, 0.357726126909256, -0.10029076784849167, -0.06605739891529083, 0.39037349820137024, -0.069208525121212, -0.6687780618667603, -0.4966569244861603, -0.001123693771660328, -1.3077309131622314, -1.189661979675293, -7.64735746383667, 0.06317034363746643, -0.9130025506019592, 0.41329526901245117, 0.3398667871952057, -1.1624342203140259, -0.3205694258213043, -0.618784487247467, -0.7596396207809448, 1.0103299617767334, 1.9878302812576294, 0.39458975195884705, -0.7899008393287659, -0.43166080117225647, 0.4011267125606537, -0.17084738612174988, -0.2916460335254669, 1.433932900428772, -0.20831641554832458, -0.010990508832037449, 0.6669267416000366, -0.39660176634788513, 0.5677385926246643, 0.22213976085186005, 0.788066029548645, -0.4318152666091919, -0.3254721760749817, -0.4669501781463623, -0.9876227974891663, 0.4090830981731415, -0.09606324136257172, 0.7663334012031555, -0.6125586032867432, 1.1679459810256958, -1.001505970954895, 0.10692819952964783, 0.6244339346885681, 0.10549454391002655, 0.25063183903694153, -1.3124401569366455, 0.08242281526327133, 0.4908718764781952, 1.035887360572815, -0.6075764894485474, -0.11839576065540314, -0.3819958567619324, 0.6916229128837585, -0.9775611758232117, -0.9871729612350464, 0.8985385298728943, -0.7529013156890869, 0.3890749216079712, 0.5506471395492554, -0.044527485966682434, -0.6050869822502136, 0.6425324082374573, -0.48202604055404663, -0.20257718861103058, -0.9106683731079102, 0.6837090849876404, -0.05442747101187706, -0.9528722167015076, -1.0491604804992676, 0.04115951806306839, -0.3045572340488434, -0.15942592918872833, -0.23717525601387024, 0.4593139886856079, 1.076552152633667, 0.18045179545879364, 0.17692936956882477, 0.24961122870445251, -0.4686525762081146, 0.8526208996772766, 0.327392578125, 0.14794746041297913, 0.8567812442779541, 0.3909866511821747, -0.3390487730503082, 0.48328688740730286, 1.1967459917068481, 0.0811065286397934, -0.09792019426822662, -0.20902185142040253, -0.9499528408050537, -0.6397566199302673, -0.7079495787620544, 0.4622412919998169, -0.030137406662106514, -1.5099862813949585, 0.5572723746299744, 0.5925835967063904, 0.24395783245563507, -0.3945552110671997, 0.9700836539268494, 0.21461637318134308, -1.2300775051116943, -0.4645721912384033, -1.2622789144515991, 0.21231327950954437, -0.129405215382576, -1.3006441593170166, -1.2566843032836914, 1.4002858400344849, 0.20529340207576752, 0.07072947919368744, -1.677729845046997, -0.586375892162323, 0.8696560263633728, -0.3615511655807495, 1.0393339395523071, 0.22661486268043518, 1.4578635692596436, -1.0073436498641968, -0.9579091668128967, -0.7783983945846558, -0.26696979999542236, 0.021260129287838936, -0.7505736947059631, -0.2916211485862732, -0.2346940040588379, 0.0917293056845665, 0.32718077301979065, -0.052609849721193314, 1.0233211517333984, -0.011706394143402576, -0.44042664766311646, 0.35320067405700684, -0.2846531569957733, 0.557968020439148, -0.002322909887880087, -1.008870244026184, 0.1080969050526619, 0.23794201016426086, -1.043215036392212, -0.33451759815216064, 0.3264516294002533, -0.12353761494159698, -0.6331215500831604, -1.1974910497665405, 0.9319853186607361, -0.07993754744529724, 0.1966084986925125, 0.14944405853748322, 0.15712390840053558, -0.258897602558136, -0.4374713599681854, 0.2748569846153259, 0.10120606422424316, 0.5348612666130066, 0.6782474517822266, -0.442207008600235, 1.0069233179092407, -1.2093809843063354, 0.47751328349113464, -0.3897447884082794, -0.06225566565990448, -0.007194606587290764, 0.43255046010017395, -0.7714262008666992, 0.07413111627101898, -0.8299040198326111, 1.1944257020950317, 0.6114866733551025, -0.3790062665939331, -0.43375658988952637, -0.3974132239818573, 0.8861101269721985, -0.8110206127166748, -0.8199566006660461, -0.5074418187141418, -1.065333366394043, 0.37328097224235535, 0.8678051233291626, -0.840370774269104, -0.07538389414548874, -0.12098013609647751, -0.9210031628608704, 0.4329845607280731, -1.196811318397522, 1.0758097171783447, 0.08588020503520966, 0.18304304778575897, -0.4182848334312439, -0.33166027069091797, 1.6975663900375366, -0.5059055685997009, -0.12675701081752777, 0.18176299333572388, -0.2565821707248688, 0.02142699994146824, -0.40785515308380127, -1.572730541229248, 1.6577541828155518, 0.6935551166534424, 0.8190438747406006, -0.36168497800827026, 0.11788271367549896, -0.12025140970945358, -0.5970768332481384, -0.39221280813217163, 1.2544071674346924, -0.42834770679473877, 0.1139177456498146, -0.1537347137928009, 0.7312321066856384, -0.05193851515650749, 0.042123567312955856, 0.4947548508644104, -1.059969425201416, -0.2043420523405075, -0.5035290122032166 ]
136
0704.0138
Enrico Barausse
Enrico Barausse, Scott A. Hughes, Luciano Rezzolla
Circular and non-circular nearly horizon-skimming orbits in Kerr spacetimes
15 pages, 4 figures, 5 tables. Small changes following referee's suggestion, typos corrected. Accepted for publication in PRD
Phys.Rev.D76:044007,2007
10.1103/PhysRevD.76.044007
null
gr-qc astro-ph
null
We have performed a detailed analysis of orbital motion in the vicinity of a nearly extremal Kerr black hole. For very rapidly rotating black holes (spin a=J/M>0.9524M) we have found a class of very strong field eccentric orbits whose angular momentum L_z increases with the orbit's inclination with respect to the equatorial plane, while keeping latus rectum and eccentricity fixed. This behavior is in contrast with Newtonian intuition, and is in fact opposite to the "normal" behavior of black hole orbits. Such behavior was noted previously for circular orbits; since it only applies to orbits very close to the black hole, they were named "nearly horizon-skimming orbits". Our analysis generalizes this result, mapping out the full generic (inclined and eccentric) family of nearly horizon-skimming orbits. The earlier work on circular orbits reported that, under gravitational radiation emission, nearly horizon-skimming orbits tend to evolve to smaller orbit inclination, toward prograde equatorial configuration. Normal orbits, by contrast, always demonstrate slowly growing orbit inclination (orbits evolve toward the retrograde equatorial configuration). Using up-to-date Teukolsky-fluxes, we have concluded that the earlier result was incorrect: all circular orbits, including nearly horizon-skimming ones, exhibit growing orbit inclination. Using kludge fluxes based on a Post-Newtonian expansion corrected with fits to circular and to equatorial Teukolsky-fluxes, we argue that the inclination grows also for eccentric nearly horizon-skimming orbits. We also find that the inclination change is, in any case, very small. As such, we conclude that these orbits are not likely to have a clear and peculiar imprint on the gravitational waveforms expected to be measured by the space-based detector LISA.
[ { "created": "Mon, 2 Apr 2007 08:16:16 GMT", "version": "v1" }, { "created": "Fri, 20 Jul 2007 07:32:22 GMT", "version": "v2" } ]
2008-11-26
[ [ "Barausse", "Enrico", "" ], [ "Hughes", "Scott A.", "" ], [ "Rezzolla", "Luciano", "" ] ]
07
[ 0.23449547588825226, -0.6515811085700989, -0.5367648005485535, 0.3561888039112091, -0.6841980814933777, 0.2263965904712677, 0.7934975028038025, 0.6622399687767029, -0.6825456023216248, 0.7733058333396912, 0.37215811014175415, 0.032658252865076065, -0.3803718388080597, 0.9994669556617737, 0.4779006242752075, 0.11374319344758987, -0.6310662031173706, -0.7142084240913391, 0.6082951426506042, 0.22281649708747864, 0.49441656470298767, 0.13553714752197266, 0.04916475713253021, 0.17919033765792847, -0.26201131939888, 0.03856784105300903, 0.6362420916557312, -0.12187277525663376, 1.0005606412887573, 0.0983303114771843, -0.28161707520484924, -0.0028958849143236876, -0.4936135709285736, -0.4055103361606598, 0.7182283997535706, 0.38644343614578247, 0.2780653238296509, 0.17323483526706696, -0.7145465016365051, -0.5691303014755249, -0.5066925883293152, 0.09006395190954208, -0.10082020610570908, -0.01099565252661705, 0.5681331157684326, -1.2055727243423462, -0.18149913847446442, -0.5604668855667114, 1.2482503652572632, 0.9179304242134094, 1.0659576654434204, 1.197277545928955, -0.5251057147979736, -0.1083870381116867, 0.7516106963157654, -0.338043212890625, 0.9324964880943298, -0.4596391022205353, 0.3535776734352112, 0.1905861794948578, -0.7802611589431763, -0.8630543351173401, -0.06575401872396469, 0.25769442319869995, -0.4501210153102875, -0.28151625394821167, 1.8652312755584717, 0.413998544216156, 0.4202446937561035, 0.554826021194458, 0.7532605528831482, -0.6668432950973511, -1.7871747016906738, 0.2660360038280487, -0.001272007473744452, 0.37645888328552246, -0.7228236198425293, 0.8698261380195618, -0.2681252062320709, 1.1398952007293701, 0.17287126183509827, 1.4722380638122559, -0.39475420117378235, -0.837408721446991, -0.07724487036466599, -0.5465254187583923, -0.511746346950531, 0.2163132131099701, 0.8018816709518433, -0.11563889682292938, -1.0880029201507568, 0.48590734601020813, -0.04567236825823784, 0.28690531849861145, 0.4013538062572479, 0.8125023245811462, -1.6530296802520752, -1.0701271295547485, 0.6836520433425903, -0.2583787441253662, 0.8364041447639465, 0.8495500087738037, -0.06500738114118576, 0.9586101174354553, -0.11480426788330078, 1.1749683618545532, 0.4146367907524109, -0.26180702447891235, -0.12380997836589813, -0.36348867416381836, -0.6751444339752197, -1.3264822959899902, 1.1679502725601196, 0.49999943375587463, -0.8828842639923096, -0.4374452233314514, -0.677390992641449, 0.7799800634384155, -0.9303456544876099, -1.8153647184371948, -1.7089720964431763, 0.3410956859588623, -1.563792109489441, -0.5745463967323303, 0.47125139832496643, 0.4850171208381653, -0.3174796402454376, 0.391975075006485, -0.24775387346744537, -0.047699376940727234, -0.6828317642211914, 0.3712292015552521, -1.2790859937667847, 0.07721928507089615, -1.3581023216247559, -1.7555488348007202, -0.8420015573501587, 0.08306341618299484, 0.5086981654167175, -0.1639295369386673, -0.652510941028595, 0.6659269332885742, -0.47689884901046753, 0.2852852940559387, 1.0554375648498535, 1.0290589332580566, 1.1547807455062866, 0.8212413787841797, -0.8025788068771362, -0.40899595618247986, -0.3561106026172638, -0.3957781493663788, 1.629754900932312, 0.16853442788124084, 1.1112034320831299, 0.7639133334159851, -0.08699954301118851, 0.9562110304832458, 1.4764251708984375, 1.683708906173706, -0.5788780450820923, 1.0907224416732788, -1.460033655166626, -0.49200430512428284, 0.2532655894756317, -0.9316880702972412, -0.17750652134418488, -0.2249302864074707, -0.04610481485724449, -1.213926911354065, -0.9102898836135864, -0.7566890120506287, 1.226798176765442, 1.193019986152649, -0.46368607878685, -0.12255382537841797, 0.556620717048645, 0.02453780546784401, -0.2817761301994324, 0.9582717418670654, 0.14336226880550385, -0.8385495543479919, -2.0529537200927734, -0.04156961292028427, -0.03092147968709469, -0.6236971020698547, 0.045201994478702545, -0.5456880331039429, 0.9714792966842651, -1.0955307483673096, -0.667315661907196, 0.24693378806114197, -1.9900294542312622, 1.2506569623947144, 0.47267550230026245, -0.0432535782456398, -0.00011959176481468603, -0.12942872941493988, 0.08122795075178146, -0.2608102262020111, -0.9910082221031189, 0.36224427819252014, -0.4910888075828552, -0.23507706820964813, 0.6238304376602173, -0.2843167185783386, -0.7439209818840027, 0.9247962832450867, 0.33792153000831604, -0.09616013616323471, -1.6724201440811157, 1.0570902824401855, -1.059409499168396, 0.2298961579799652, -0.09859275817871094, 0.732824981212616, 0.4804023504257202, -0.09488058090209961, -1.1362839937210083, 0.24713903665542603, -1.0900962352752686, -0.16032764315605164, 1.1355355978012085, 0.30487796664237976, -0.3777853548526764, 1.7011686563491821, 0.45005109906196594, -0.979673445224762, -0.6066785454750061, 1.7838082313537598, -0.7097284197807312, 0.6714991331100464, -1.0428667068481445, -0.28967204689979553, 0.5521894097328186, -1.3816298246383667, -0.3143666684627533, 1.0756168365478516, 0.07821576297283173, 0.9878110289573669, -0.8186134696006775, 0.4572524130344391, 0.008945089764893055, 0.3589884340763092, 0.22407902777194977, 0.1477595418691635, -0.4612017869949341, 0.08382120728492737, 0.9678583145141602, 0.7321655750274658, -1.3363364934921265, 0.042393241077661514, -0.4123688340187073, -1.6703615188598633, 0.5353679656982422, -0.9442209601402283, 0.05097368732094765, -0.5352696180343628, -1.1040453910827637, 0.842261552810669, -0.3728853762149811, 0.33303913474082947, -0.17419636249542236, -0.9752618074417114, 0.3072095811367035, 0.310665100812912, 0.09280608594417572, -0.3906029760837555, -0.08271205425262451, 0.04530588909983635, -0.9639394879341125, -0.34689146280288696, 0.8463510274887085, 1.1448181867599487, 0.9471418261528015, 1.4931586980819702, -0.03183538839221001, -0.06900298595428467, 0.07066328823566437, -0.5048899054527283, -0.2502079904079437, 0.5498093962669373, 0.729758083820343, -0.12041034549474716, 0.29533135890960693, 0.45430588722229004, 1.3538506031036377, 0.5093658566474915, 0.33969730138778687, -0.029318850487470627, -0.18249933421611786, -0.18463090062141418, 0.49117013812065125, -0.5857411026954651, -0.522055447101593, -0.6766966581344604, -0.20837511122226715, 1.104896903038025, 0.09580833464860916, 0.2648746073246002, -0.18195147812366486, -0.040869731456041336, 0.08427061885595322, -0.039670031517744064, 0.28865236043930054, 0.22866013646125793, -0.3417695462703705, 1.3726208209991455, -0.3337707221508026, -0.25596848130226135, -0.1607111245393753, 2.0504658222198486, -0.08404655009508133, 0.1585882604122162, -0.5250937342643738, 1.6388579607009888, 0.8236297965049744, 1.0299756526947021, -0.0585373230278492, -1.4276210069656372, 0.5783177614212036, 0.7458288669586182, -0.8850008249282837, -0.11921325325965881, 0.5796939730644226, -0.9323350191116333, 0.6900179386138916, 0.219023659825325, -0.29090017080307007, 0.43888968229293823, -0.9620481133460999, 0.04053258150815964, -0.060430582612752914, -0.30227982997894287, -1.4619219303131104, -0.275905579328537, 0.019260885193943977, 0.14175640046596527, 0.14781585335731506, 0.3567964434623718, 0.1818549931049347, 1.3491342067718506, -0.10805583745241165, 0.711458146572113, -0.3177970051765442, -1.3256735801696777, -1.171729564666748, -0.1940907984972, -0.06818518787622452, -0.09092775732278824, -0.8992260098457336, -0.727803647518158, -0.8234336972236633, 0.3135092258453369, 0.6240713000297546, 0.4332210421562195, 0.26401692628860474, -0.6775739789009094, -0.6034144759178162, -0.33764714002609253, 0.34986159205436707, 0.878286600112915, -0.7281587719917297, -0.16412591934204102, 0.5166764855384827, 1.1992814540863037, -0.13303762674331665, -1.4673621654510498, 1.1041051149368286, -0.17527174949645996, -1.8693159818649292, 0.6168771982192993, -0.8765873312950134, -0.1054522842168808, -0.5052921772003174, 0.5277013778686523, -0.003426291048526764, 0.40199732780456543, 0.7131016850471497, -0.6297670006752014, -2.631364583969116, 2.253720760345459, 0.9117600321769714, 0.07225029915571213, 0.833316445350647, -1.5934031009674072, -0.834305465221405, 0.47128745913505554, -0.7360563278198242, -0.48707646131515503, -0.03804434835910797, -0.9256815314292908, 0.39575430750846863, -0.13035039603710175, 0.3381500542163849, 1.088936686515808, 0.057135146111249924, 0.4095321595668793, 0.5907113552093506, 0.6429466605186462, -0.32644122838974, 0.6717931628227234, -0.4162348210811615, -1.1396750211715698, -0.42668241262435913, 0.17946457862854004, 0.8616294860839844, 0.004287024959921837, -0.18845665454864502, 0.45516860485076904, -0.9605379104614258, 0.09613426774740219, -0.5242751240730286, 0.4324047565460205, 0.054106537252664566, 0.9339882731437683, -0.566271185874939, -1.1217154264450073, -0.16776935756206512, -1.2094261646270752, -0.08946944773197174, 0.2650199234485626, -0.2777945399284363, -0.026154642924666405, -0.8655558824539185, 0.10334807634353638, 0.1932627260684967, -1.022230625152588, -0.3062933385372162, -0.13710089027881622, 0.5080155730247498, -0.7574400305747986, -0.3314625024795532, 0.4207373559474945, 0.17931336164474487, -0.43272721767425537, -0.5647614002227783, 1.8667227029800415, -0.6455831527709961, -0.2905865013599396, -0.8690512180328369, -0.4934617578983307, 0.1899275779724121, -0.03995269536972046, -1.5219297409057617, 0.04593838378787041, -0.31179559230804443, 0.11235830932855606, 0.5639126896858215, 0.29141688346862793, 2.428405284881592, 1.2646011114120483, 0.5807842016220093, 0.4788331091403961, 0.16652826964855194, 0.6487600803375244, -1.7761634588241577, 0.07506630569696426, 0.18128934502601624, -0.5968416929244995, -0.5378355383872986, 0.22245138883590698, 1.6488994359970093, -1.0705106258392334, 0.2347821295261383, -0.14613676071166992, 0.521023690700531, -0.8067694902420044, 1.6019270420074463, -0.3555454909801483, 0.4436558783054352, -1.3276711702346802, -1.3939259052276611, -0.6541001200675964, 0.5268146991729736, -0.0412437804043293, -0.2620704174041748, 0.3274902403354645, -0.35705095529556274, 0.6461768746376038, 0.3709060549736023, 1.0066636800765991, -0.8070381283760071, -1.1321653127670288, -0.7600026726722717, -0.442476749420166, 0.7078338265419006, -0.383306622505188, -0.12644991278648376, -0.12604783475399017, 0.6066277623176575, -0.04187868535518646, -0.5053611397743225, 0.7501769065856934, -0.7840884923934937, 1.4056013822555542, 0.18078099191188812, -1.012520432472229, 1.1833529472351074, -0.06623852252960205, -0.03610403090715408, 0.032343730330467224, -0.013238300569355488, -0.5865461826324463, -0.08110243827104568, 0.009590390138328075, 0.47021815180778503, -0.13565628230571747, -0.3099590241909027, 0.3365738093852997, -1.124046802520752, 1.436530590057373, -0.7923551201820374, -0.5207507610321045, -0.3283986747264862, -0.008397996425628662, 0.24473071098327637, -2.538526773452759, 0.6447519659996033, -0.5747635364532471, 0.4381173253059387, -0.6577631831169128, -0.004169698804616928, 0.5558348894119263, -0.6576611399650574, -0.20457950234413147, -0.1057543233036995, -0.1997964233160019, 0.0798618346452713, -0.30726778507232666, -0.8873053193092346, -0.09947419166564941, -0.7435210347175598, -0.793686032295227, -0.31189480423927307, -1.4074230194091797, -0.6378917694091797, 0.08580882847309113, -0.8416562080383301, -0.6741181015968323, -0.16991126537322998, -1.139061689376831, -0.44717440009117126, -0.22796642780303955, 0.8949612975120544, -0.3842037618160248, 1.5386165380477905, -0.863993227481842, -0.2657544016838074, -0.1806728094816208, -0.7266508936882019, 0.2600519061088562, -0.06355668604373932, 0.4848960041999817, -1.232301115989685, -1.242427945137024, -6.36481237411499, -0.7144184708595276, -0.5964996218681335, 0.4567769169807434, 0.7011718153953552, -0.921793520450592, -0.36526578664779663, 0.9133941531181335, 0.3335122764110565, 1.2098007202148438, 0.14984199404716492, 0.7743343710899353, 0.06777234375476837, 0.25962314009666443, -0.1975206732749939, -0.07836563140153885, 0.5352957248687744, 0.40726688504219055, 0.21247656643390656, 1.18667733669281, -0.507492184638977, 0.06988338381052017, -0.024762127548456192, -0.4302188456058502, 0.3388468623161316, 0.22267454862594604, -0.8456694483757019, -0.33971330523490906, 0.3002956807613373, 1.4081096649169922, -0.49183154106140137, 1.8448715209960938, 1.0693961381912231, 0.39225080609321594, -0.4731309711933136, 0.07365758717060089, 0.1573999524116516, -0.35217124223709106, -0.02130902372300625, -1.851960301399231, 0.7206501364707947, 0.742581844329834, -0.6170397996902466, 0.10684020072221756, -0.7011265158653259, 0.4331497550010681, -0.4221303164958954, -0.52699875831604, 0.7846360206604004, -1.4022095203399658, 0.2621731162071228, -0.8039641976356506, 1.1000096797943115, -0.5112949013710022, -0.7436071038246155, 0.1096646785736084, 0.39073505997657776, -0.10855840891599655, 0.80338054895401, 0.5268973112106323, -0.30645614862442017, -0.9506645202636719, -1.1824020147323608, -0.25714725255966187, 0.8719397187232971, -0.281999796628952, -0.42131996154785156, 0.4675043225288391, -0.03735104203224182, 0.29490265250205994, -0.5946222543716431, -0.11411299556493759, -0.23948265612125397, 0.7883096933364868, -0.8426671028137207, -0.14443790912628174, -1.0063740015029907, 1.4148122072219849, 0.006866860203444958, -0.29138338565826416, 1.1896474361419678, 0.6664631366729736, -0.829487144947052, -0.06863679736852646, -1.404295563697815, 0.8920785188674927, 0.025365065783262253, 1.0384950637817383, -0.3390285074710846, -0.47076866030693054, 0.936870813369751, 0.32671982049942017, 0.9100554585456848, -1.0160298347473145, -0.2941266894340515, -0.517678439617157, 1.522735595703125, -0.5210695862770081, -0.28797975182533264, -0.19632315635681152, -0.8527036905288696, 1.706469178199768, -0.1483883410692215, -0.12959976494312286, 0.14700104296207428, -0.7312803268432617, -0.07512153685092926, -0.6020526885986328, -0.7463921904563904, -0.9466224908828735, -0.5387796759605408, -0.9666528701782227, -1.3145842552185059, -0.6431500911712646, 0.10547269880771637, -0.258995920419693, 0.159202441573143, 0.29394134879112244, 0.7465259432792664, -0.9719417691230774, -0.5603320002555847, 1.3016270399093628, 0.16140757501125336, 0.630695641040802, -0.4115162789821625, -0.9890307784080505, -0.6139333248138428, -0.3568722903728485, 0.7973921895027161, 0.06752286106348038, -1.5967237949371338, -0.9411033391952515, -1.0994961261749268, -0.46389248967170715, -1.5046477317810059, -0.33631378412246704, 0.6380393505096436, -0.05157899111509323, -0.46518170833587646, -0.6004552841186523, -0.09093951433897018, 0.2831858694553375, -0.28556007146835327, 1.059126853942871, -0.13508200645446777, -0.9197090864181519, -0.3565230071544647, 0.9643945693969727, -0.20220471918582916, -1.5907255411148071, 0.17520253360271454, -0.44886186718940735, -1.2658329010009766, 1.3296258449554443, -0.2524462640285492, -0.9861146807670593, 1.7310950756072998, -0.4923706352710724, -0.4288889765739441, -0.958442747592926, 0.3199850022792816, -0.6373008489608765, -0.24479849636554718, -0.06001794710755348, 1.5761137008666992, -0.4332357347011566, -0.08951292186975479, 0.2015242874622345, -0.032769929617643356, 1.25153648853302, 0.22894245386123657, 0.6492465138435364, 0.2541322112083435, 0.25278815627098083, 0.24835507571697235, -0.1076030433177948, 0.45115408301353455, -1.4032407999038696, -0.720492422580719, 0.31216099858283997, 0.3361150026321411, -1.0691624879837036, 0.12167393416166306, 0.8903555274009705, -0.9101079106330872, -0.2316913902759552, -1.0677342414855957, -0.7293171882629395, -0.053886059671640396, 0.6553148031234741, 0.12675897777080536, -0.8433194756507874, -0.590319812297821, 1.0768072605133057, -0.6367419362068176, -0.13337859511375427, -0.5081350207328796, -0.46682941913604736, 1.131182312965393, -0.9663480520248413, -1.4663459062576294, 1.8397504091262817, -0.6592342853546143, 0.13537286221981049, 0.0813426673412323, -0.3930223882198334, -0.11197469383478165, -0.17827950417995453, -0.166124165058136, 0.5205655694007874, 1.040407657623291, -0.7702993154525757 ]
137
0704.0139
Barbara Lanzoni
B. Lanzoni (1,2), E. Dalessandro (1,2), F.R. Ferraro (1), C. Mancini (3), G. Beccari (2,4,5), R.T. Rood (6), M. Mapelli (7), S. Sigurdsson (8) (1 Dip. Astro., Bologna; 2 INAF--Oss. Astro., Bologna, 3 Dip. Astro. e Scienza dello Spazio, Firenze; 4 Dip. di Scienze della Comunicazione, Teramo; 5 INAF--Oss. Astro. di Collurania, Teramo; 6 Dep. of Astronomy and Astrophysics, The Pennsylvania State University; 7 S.I.S.S.A., Via Beirut 2 - 4, Trieste; 8 Astronomy Department, University of Virginia)
The Blue Straggler Population of the Globular Cluster M5
ApJ accepted
Astrophys.J.663:267-276,2007
10.1086/518592
null
astro-ph
null
By combining high-resolution HST and wide-field ground based observations, in ultraviolet and optical bands, we study the Blue Stragglers Star (BSS) population of the galactic globular cluster M5 (NGC 5904) from its very central regions up to its periphery. The BSS distribution is highly peaked in the cluster center, decreases at intermediate radii and rises again outward. Such a bimodal distribution is similar to those previously observed in other globular clusters (M3, 47Tucanae, NGC6752). As for these clusters, dynamical simulations suggest that, while the majority of BSS in M5 could be originated by stellar collisions, a significant fraction (20-40%) of BSS generated by mass transfer processes in primordial binaries is required to reproduce the observed radial distribution. A candidate BSS has been detected beyond the cluster tidal radius. If confirmed, this could represent an interesting case of an "evaporating" BSS.
[ { "created": "Mon, 2 Apr 2007 08:19:37 GMT", "version": "v1" } ]
2009-06-23
[ [ "Lanzoni", "B.", "" ], [ "Dalessandro", "E.", "" ], [ "Ferraro", "F. R.", "" ], [ "Mancini", "C.", "" ], [ "Beccari", "G.", "" ], [ "Rood", "R. T.", "" ], [ "Mapelli", "M.", "" ], [ "Sigurdsson", "S.", "" ] ]
07
[ 0.43377143144607544, 0.17029528319835663, 0.9926755428314209, 0.14531630277633667, -0.9567826986312866, -0.4601607024669647, 0.15834775567054749, 0.6688476204872131, -0.7107193470001221, 0.06287205219268799, 0.25252750515937805, 0.5927367806434631, -0.3251189887523651, -0.09974547475576401, 0.9826465249061584, 0.43031367659568787, 0.25143197178840637, 0.820804238319397, -0.6605575084686279, 1.0922938585281372, 0.09013132750988007, 1.0373634099960327, -0.7079355716705322, -0.9063803553581238, -0.5724576711654663, -0.5410674810409546, 0.2914992868900299, 0.5821417570114136, 1.4605097770690918, -1.0693230628967285, -0.1330822855234146, 0.6170198917388916, 0.06360138952732086, 0.540321409702301, 0.17922043800354004, -0.4497063159942627, 0.7438368201255798, -1.5430045127868652, -0.5657926201820374, 0.30352163314819336, 0.49869605898857117, 0.3664493262767792, -0.0919770821928978, 0.546948254108429, -0.3692767918109894, 0.05644465982913971, 0.5895779728889465, -0.8380985856056213, 0.2592293918132782, -0.00914605613797903, -1.0193287134170532, -0.43177860975265503, -0.02203434705734253, 1.258126974105835, -0.17272189259529114, -0.31143543124198914, 0.2626744210720062, 0.19057387113571167, -1.3686867952346802, 0.8244905471801758, 0.2643779218196869, 0.04643702507019043, 0.2350059598684311, -0.32010161876678467, -1.155440330505371, -0.2115829586982727, -0.10535053163766861, -0.36993101239204407, -0.16531147062778473, -1.3354398012161255, 0.008049031719565392, -1.089053988456726, -1.307098388671875, -0.3033526837825775, -0.06104086712002754, -0.6511614322662354, 0.7502568960189819, -0.6673203110694885, 0.003992782905697823, 0.20673564076423645, 0.2829824686050415, 1.747307300567627, -1.6375948190689087, -0.6940816044807434, -0.31004682183265686, 0.3326452374458313, -0.8744223713874817, 0.3656430244445801, 0.5921690464019775, -1.5985872745513916, -0.734102725982666, -0.7079429626464844, -0.9763821959495544, -0.34380948543548584, 0.4249717891216278, 0.5373811721801758, -1.1864451169967651, 0.24207590520381927, 0.5362722277641296, 0.6868863701820374, 0.35343292355537415, 0.3410068154335022, 0.6358312368392944, -0.6075412034988403, -0.38372790813446045, -1.2749689817428589, 0.5411731004714966, -0.5914449095726013, 0.21631555259227753, 0.6468425989151001, 0.2944769561290741, -0.9229120016098022, -1.690528392791748, -0.005870186723768711, -0.7118310928344727, -0.4208924472332001, -0.5142018795013428, -1.208031177520752, 0.3293379247188568, -0.423277348279953, -0.14129744470119476, 1.2748914957046509, -0.8255007266998291, 0.6670644879341125, -0.38566237688064575, -0.31533578038215637, 0.5690627694129944, 0.1448722630739212, -0.2005360871553421, 0.3717810809612274, -0.24505087733268738, -0.2635999023914337, -0.8022503852844238, 0.8708672523498535, -0.6446491479873657, 0.2922375798225403, -1.236640214920044, 0.10370571911334991, 0.8908073902130127, 0.058424923568964005, -0.4155024588108063, -0.14623421430587769, -0.5505421757698059, 1.0516117811203003, -0.2777705788612366, -0.21112124621868134, -1.1314951181411743, -0.38692551851272583, 1.3961575031280518, -0.33137741684913635, -0.04826507344841957, -1.262372612953186, -0.4950851798057556, -0.33311760425567627, 1.3306381702423096, 0.4579522907733917, -0.956566572189331, 0.37407737970352173, -0.18120025098323822, 0.7512869834899902, -0.18018260598182678, -0.6473837494850159, -0.03341853618621826, 0.7137278318405151, -0.013131282292306423, -0.8451014757156372, 1.700559139251709, 0.03941458463668823, -1.5557796955108643, 0.23355893790721893, 0.367766797542572, -0.8286941051483154, -0.43445220589637756, -0.5389300584793091, -0.36438366770744324, -0.054544202983379364, 0.4239504635334015, -1.2804878950119019, -0.5857093930244446, -0.5900366902351379, 0.9115256667137146, -0.07665947824716568, 0.09175655990839005, 0.4960280656814575, 0.4802553057670593, 1.0982719659805298, 1.2413768768310547, -0.3555997312068939, 0.4463542103767395, -0.6781022548675537, -0.4080362319946289, -0.3879857361316681, -0.09279210865497589, -0.7563889026641846, -0.7773956060409546, -1.7219346761703491, 0.776826798915863, 0.06718137860298157, 0.03982654586434364, -0.4650212228298187, -0.20517835021018982, -1.039050579071045, -0.7269081473350525, 1.4690685272216797, -0.022848885506391525, 0.7633841633796692, 0.0021952574606984854, 0.5219218730926514, 1.3643730878829956, 0.5514122247695923, -1.2565871477127075, -0.3971606492996216, 0.6838264465332031, 0.5571161508560181, -0.09432484954595566, 1.0731737613677979, 1.3084007501602173, -0.6863150596618652, -0.24070267379283905, 1.3592138290405273, -0.6828613877296448, 0.2970106303691864, 1.756046175956726, -0.3478432893753052, -0.3560430407524109, -0.5231341123580933, -0.2443341612815857, -1.3982716798782349, -0.01906755194067955, 0.37162092328071594, 0.4758192300796509, -0.6259543299674988, 0.5281648635864258, -0.22219820320606232, 0.6853258609771729, -0.7086149454116821, 0.6681578755378723, 0.10209590941667557, 0.2900525629520416, 0.9523721933364868, -0.030452236533164978, -0.1735752522945404, 0.10726433247327805, -1.3250595331192017, -1.5830622911453247, 0.7248409986495972, -0.3116471469402313, -0.9899278879165649, -0.4116732180118561, 0.28974634408950806, 0.03430396690964699, 0.259808748960495, 1.38484787940979, -1.2516378164291382, 0.37245163321495056, 0.2742399573326111, -0.7905200719833374, -1.4969770908355713, -0.9572228193283081, 1.015116572380066, -0.6488034129142761, -0.5731727480888367, 0.9809566140174866, 0.7198676466941833, 0.4906935691833496, -1.0109024047851562, -0.6195849180221558, -1.4915019273757935, -0.47284358739852905, 0.32155153155326843, -0.026196468621492386, -0.5171241760253906, 1.5275094509124756, 1.5246449708938599, 0.8515235185623169, -0.6696171760559082, 0.37017592787742615, -0.7091194987297058, 0.37049946188926697, -0.3593250513076782, -0.7436055541038513, -1.249215841293335, 0.16551445424556732, -0.17554621398448944, 0.19690316915512085, -0.8000341057777405, 0.9092662930488586, 0.13833852112293243, 0.6015198230743408, -0.571208119392395, -0.1698985993862152, -0.3513188064098358, 0.365456223487854, 0.2383980005979538, -0.6861459016799927, -0.05907560884952545, 1.5927084684371948, 0.4302162528038025, 0.12911400198936462, -0.10460468381643295, 0.848652184009552, 0.2895907163619995, -0.3847718834877014, 0.48321273922920227, 1.1901870965957642, -0.3101040720939636, -0.24506153166294098, 0.6143271923065186, 0.21518053114414215, 0.062132202088832855, -0.7017898559570312, -0.1964666247367859, 1.0743335485458374, 0.20427973568439484, 0.8426740765571594, 1.8158764839172363, 1.2523717880249023, -0.04466516524553299, -0.16774776577949524, -1.948379397392273, 0.6721064448356628, 0.07040716707706451, 0.32906103134155273, -0.46564391255378723, -0.306506484746933, 0.31480294466018677, -1.0505107641220093, -0.5345625877380371, 0.28510212898254395, -0.05816769227385521, -1.2649478912353516, 0.285521000623703, 0.2826671600341797, 0.5628442764282227, 0.8911898732185364, -0.9527496695518494, 2.5748236179351807, 0.433663547039032, 0.44431331753730774, 0.39941728115081787, -0.5086014270782471, 2.3366565704345703, 0.8501178026199341, -0.08346051722764969, -1.0322840213775635, 0.26981639862060547, -0.8424341678619385, 0.5582665801048279, -0.3709893822669983, 0.7691597938537598, -0.3923824727535248, 1.0315053462982178, -0.2259678989648819, -0.8443108797073364, 1.0401310920715332, -0.018126044422388077, 0.2591158151626587, 0.5046878457069397, -0.912155270576477, -0.8267983198165894, -0.4389065206050873, 0.7925074696540833, -1.4337985515594482, -0.08678532391786575, 0.9955284595489502, -0.20523405075073242, -0.7018814086914062, -1.1891613006591797, 0.5376672148704529, 0.016162116080522537, -0.4166242480278015, 0.33436906337738037, 1.0273704528808594, -0.3224099278450012, 0.09300297498703003, -0.9969469308853149, 0.8552780747413635, 0.14457200467586517, 1.3256115913391113, -0.5525246858596802, -0.3087330758571625, -0.6139963865280151, 0.8077183961868286, 0.5624771118164062, 0.48072555661201477, 0.10244531184434891, -0.7270188331604004, 0.6355264782905579, -0.2097940444946289, 0.10055087506771088, 0.02588885836303234, -0.9160507917404175, 0.2679447829723358, 0.5401396751403809, 0.012685191817581654, -1.2277414798736572, -0.9182743430137634, 0.3773506283760071, -0.35265421867370605, -0.061138611286878586, 0.12581056356430054, -1.237087368965149, 1.2676000595092773, -0.876920223236084, -0.30358606576919556, 0.18318761885166168, -0.21192824840545654, 0.7462512850761414, 1.3505284786224365, -1.6361074447631836, -1.1053682565689087, -0.14791631698608398, 0.09508887678384781, -0.8906534314155579, -0.4996115267276764, -0.19544069468975067, -1.4719340801239014, 0.029046226292848587, 0.17557863891124725, -0.8367930054664612, 0.36790746450424194, 0.37511804699897766, -0.1745682954788208, 1.5639911890029907, -0.4815996587276459, 0.5588361024856567, -1.1481983661651611, -0.3677217662334442, -0.03985953703522682, -0.7412694692611694, 1.5078471899032593, -0.273779958486557, -0.31148144602775574, 0.23140619695186615, 0.2804698646068573, -0.43062207102775574, -1.7512707710266113, -0.3898443579673767, -0.25805750489234924, 0.1785334199666977, 0.9611896872520447, -0.4689991772174835, -0.04258553311228752, 0.4441359341144562, 1.034471869468689, -0.44031500816345215, -0.4012112617492676, 0.35415491461753845, -0.761204183101654, 0.2633562386035919, 1.4058516025543213, 0.32501357793807983, -0.7857359647750854, -0.9834958910942078, -0.10315602272748947, -0.815180778503418, 0.14531657099723816, -0.5046510696411133, -0.4106295108795166, -1.1303274631500244, 0.07669737935066223, 0.4923991560935974, 0.0947062224149704, -0.6248891353607178, 0.2063535451889038, -0.3392051160335541, 0.0291751716285944, -0.930914044380188, 1.3296416997909546, -0.6268553733825684, -0.36176079511642456, 0.9754881858825684, -0.6359704732894897, -0.11464478820562363, 0.23998068273067474, 0.9543336033821106, 0.2070257067680359, -0.6122518181800842, 0.5509791374206543, -1.0186527967453003, -0.7710304856300354, 0.21835078299045563, 0.20019063353538513, 0.9542028903961182, -0.06428579986095428, 1.2115331888198853, -0.6380527019500732, 1.012428879737854, 0.24266798794269562, -0.3481512665748596, -0.017923226580023766, -1.247039794921875, -0.2374635487794876, 1.4770087003707886, -0.8563823699951172, -0.5552538633346558, -1.0133416652679443, 0.0035817527677863836, 0.7858035564422607, 0.4985184967517853, 0.6386409997940063, 0.17903444170951843, 0.6215845346450806, -1.403573989868164, -1.0156691074371338, 0.006450269836932421, 0.19124363362789154, 0.24244216084480286, -0.9547577500343323, 0.49110954999923706, 0.9544126987457275, 0.6816463470458984, -0.17889449000358582, 0.5048015117645264, 0.40411725640296936, -0.3317554295063019, 0.081280417740345, -2.798341989517212, 0.744996964931488, -2.2550153732299805, -1.2923471927642822, -0.05061884969472885, -0.688901424407959, 0.22332164645195007, -1.0946671962738037, 0.692482590675354, 1.3272627592086792, -0.5608451962471008, -0.7212485671043396, 0.19530260562896729, -0.1269506812095642, 0.7796317934989929, -1.5364890098571777, -1.5529197454452515, 0.9473994374275208, -0.35709503293037415, -0.8572614192962646, -0.10596822947263718, 0.62931227684021, 0.3905833959579468, -0.5660005807876587, 0.4607617259025574, -0.07257803529500961, -0.4080972969532013, -0.3061448037624359, -0.15640781819820404, -0.6166980862617493, -0.5473836064338684, -0.7301344275474548, -0.5307670831680298, 0.2661796808242798, -0.1572711020708084, 1.0668292045593262, 0.5452722907066345, -0.7576326727867126, -0.7242453694343567, -7.406448841094971, 0.41033196449279785, 0.7855324745178223, -1.087218165397644, -0.11711767315864563, 0.14568831026554108, -0.49456092715263367, -0.2412959337234497, -1.088015079498291, -0.5688436031341553, -0.19877497851848602, 0.12931908667087555, -0.3045969009399414, 0.4949822723865509, -0.20535816252231598, 0.407614141702652, 0.20631393790245056, 0.09098909795284271, 0.2522503435611725, 0.10450521111488342, 0.03429825231432915, 0.08328695595264435, 0.2872374653816223, -0.8159390091896057, -0.4040808379650116, -0.13481678068637848, -0.5511157512664795, 0.7240585684776306, -0.3626253604888916, 1.1504733562469482, -1.2151820659637451, -0.1887688785791397, -0.49018049240112305, -0.21792639791965485, -0.3757283389568329, 0.45789140462875366, 0.21262226998806, 0.9647333025932312, 1.3802354335784912, 0.15000306069850922, 0.20506849884986877, 0.5982761979103088, -0.6855392456054688, 0.04937376081943512, 0.26327282190322876, 1.3032763004302979, -0.1419317126274109, -1.2596700191497803, -0.6371216177940369, -0.1249145045876503, 0.002998870797455311, 0.15083430707454681, 0.6825264096260071, 0.2567739486694336, 0.6310545206069946, 0.5265541672706604, -1.1094945669174194, 0.250164657831192, 0.5387369990348816, -0.16671767830848694, 0.9055343270301819, -0.28576934337615967, -0.9231759905815125, 0.49283382296562195, 0.42224082350730896, 1.432121992111206, -1.0340908765792847, -0.29757043719291687, -0.6004664301872253, -0.17681416869163513, 0.3322594463825226, -0.2244439423084259, -0.49010950326919556, 0.7428712844848633, 0.8626484274864197, 0.7752720713615417, -0.16194403171539307, -0.2801477611064911, 0.846351683139801, 0.7372620105743408, -0.3678060472011566, 0.3243350386619568, -1.7406117916107178, 0.3299500644207001, -1.269169807434082, -0.8755244016647339, 0.5704465508460999, -0.3282327950000763, -0.6958937644958496, -0.583553671836853, -0.6787561774253845, 2.1521084308624268, 1.3430267572402954, -0.22097553312778473, -0.5387866497039795, 0.48672303557395935, 0.023343181237578392, 0.23221056163311005, 0.5318426489830017, -0.6216867566108704, 0.43694478273391724, 0.12631264328956604, 0.6563699245452881, 0.5172774791717529, -0.10926542431116104, -0.7045907378196716, -2.197131872177124, -0.5306321978569031, 0.635810375213623, -0.6395788788795471, -1.0274643898010254, -0.6384796500205994, 0.0885501503944397, -0.20020261406898499, 0.4359196722507477, -0.07871461659669876, -0.1602460741996765, -0.1876174509525299, -0.3985840380191803, -0.01319785974919796, 0.21090008318424225, 0.8049284219741821, -2.1755776405334473, 0.19960981607437134, 0.053277384489774704, -0.4512152671813965, 0.35842812061309814, -0.38845011591911316, -0.15529683232307434, 0.8992000222206116, 0.6058231592178345, 0.4538516700267792, 0.3904920220375061, 0.5164616107940674, -0.8533108830451965, 1.0107636451721191, -0.2297297567129135, 0.41929930448532104, 0.19478504359722137, -0.7620313167572021, 0.4137860834598541, -2.18047833442688, 0.23667816817760468, -1.3398964405059814, -0.0033150818198919296, 0.5175710320472717, 0.6553176045417786, -0.8867055177688599, -0.5339288115501404, -0.4414149522781372, 0.46002084016799927, 0.14305520057678223, -0.3553907573223114, 1.361121416091919, 0.4062090218067169, -0.46119996905326843, 0.055693626403808594, -1.0050855875015259, -0.004502883646637201, -0.16518054902553558, 0.9486015439033508, -1.0655020475387573, 0.32872727513313293, -0.8936862945556641, -1.4058548212051392, -0.4304133355617523, 0.5067262649536133, 1.0468039512634277, -1.3027578592300415, -0.548533022403717, 0.3426176607608795, 0.23042945563793182, 0.08150865137577057, 0.4948512613773346, 0.05667302384972572, -1.1672347784042358, -0.39331144094467163, 0.4620040953159332, -0.7619863748550415, -0.7774783372879028, -0.381925106048584, 0.46642452478408813, 0.1667148321866989, -0.16629540920257568, 0.5383998155593872, 0.5546524524688721, 0.3483869731426239, 0.2959379553794861, 0.1051948070526123, 0.13608130812644958, -0.09516686201095581, 0.9533953666687012, -0.004335340578109026, 0.6347875595092773, -1.1044185161590576, -0.6874914765357971, 0.27664801478385925, -0.0026097153313457966, 0.6524850726127625, -0.3224848508834839, 0.7398462891578674, 0.8574492931365967, -0.5597350597381592, 0.41952013969421387, 1.0923168659210205, 0.42561104893684387, 0.6084833741188049, 0.06281853467226028, -0.30636459589004517, -0.24743792414665222, -0.11994118243455887, -0.5548639297485352 ]
138
0704.0140
Mariano Cadoni
Mariano Cadoni
Entanglement entropy of two-dimensional Anti-de Sitter black holes
6 pages, 2 figures, typos corrected
Phys.Lett.B653:434-438,2007
10.1016/j.physletb.2007.08.026
null
hep-th
null
Using the AdS/CFT correspondence we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole mass expansion of our formula reproduces exactly the Bekenstein-Hawking entropy S_{BH}, whereas the subleading term behaves as ln S_{BH}. This subleading term has the universal form typical for the entanglement entropy of physical systems described by effective conformal fields theories (e.g. one-dimensional statistical models at the critical point). The well-known form of the entanglement entropy for a two-dimensional conformal field theory is obtained as analytic continuation of our result and is related with the entanglement entropy of a black hole with negative mass.
[ { "created": "Mon, 2 Apr 2007 09:14:57 GMT", "version": "v1" }, { "created": "Thu, 5 Apr 2007 08:23:08 GMT", "version": "v2" } ]
2008-11-26
[ [ "Cadoni", "Mariano", "" ] ]
07
[ 0.12402752786874771, -0.5441136956214905, 0.2816171646118164, -0.8835194706916809, -0.970920741558075, 0.3316722810268402, -1.3011982440948486, -1.1153006553649902, -0.44834014773368835, -0.508563756942749, -0.2669478952884674, -0.4108666777610779, 0.8140367269515991, -0.37710559368133545, -1.5939922332763672, 1.1376307010650635, -0.5856323838233948, -0.17701882123947144, 1.038493275642395, -0.0392180010676384, -0.6731286644935608, -0.24211351573467255, -0.381863534450531, 0.32048261165618896, -0.6015042066574097, 0.47012612223625183, 0.8686754107475281, 0.991624653339386, -0.622918963432312, 0.2404942810535431, -0.9091386198997498, 0.6285938024520874, 1.2340143918991089, 0.34835150837898254, -0.08416835218667984, -0.5538617968559265, 0.4677467942237854, 0.4772254228591919, -2.853506088256836, 0.12416079640388489, -0.15327388048171997, 1.3435726165771484, 0.03290146589279175, 0.7495443820953369, 0.6712570786476135, -0.736801028251648, -0.43758195638656616, -0.46260368824005127, -1.1479605436325073, 1.5676063299179077, 0.3087492287158966, 0.5548911094665527, -0.3245232403278351, -0.06365084648132324, -0.5942165851593018, 0.7303281426429749, -0.04301159083843231, -0.19640810787677765, -0.44503533840179443, 0.016225280240178108, -0.529332160949707, 0.6825795769691467, 0.0593661330640316, 0.6201133728027344, 0.07162798941135406, -0.32562506198883057, 0.544957160949707, -0.6958939433097839, 0.1963295191526413, 0.09007302671670914, -0.6187533736228943, -0.24179226160049438, 0.07552362978458405, -1.2557251453399658, 0.7645192742347717, -1.1453824043273926, -0.6604948043823242, 0.949627697467804, 1.0922006368637085, -1.2953670024871826, 1.0582222938537598, 0.38414961099624634, -0.6797723770141602, -0.039306141436100006, -0.17673403024673462, 1.90885329246521, -0.34631142020225525, 1.1623549461364746, -0.6748188734054565, -0.130217507481575, -0.9407650828361511, 1.5206352472305298, -0.272699773311615, 0.6098588705062866, 0.2687060832977295, -0.8704867959022522, -0.5754848718643188, -0.366350382566452, -0.17097315192222595, -1.1531591415405273, 0.4549922049045563, 1.1011228561401367, 0.008922256529331207, 0.2588425874710083, -0.08145162463188171, 0.43761101365089417, 0.07251741737127304, -0.3814672529697418, 0.1498841941356659, -0.07706154137849808, -0.1412142664194107, -1.5116688013076782, 0.6579251289367676, 0.9227840304374695, -1.3289320468902588, 0.09679906815290451, -0.6847943067550659, 1.1183810234069824, -2.4690933227539062, 1.382051706314087, -1.564238429069519, -0.4201880991458893, -0.04919538274407387, -0.6801984906196594, 1.5984084606170654, -0.29464611411094666, 0.760165274143219, -0.11850561946630478, 0.13988766074180603, -1.4351654052734375, -1.1493052244186401, 0.09217333793640137, 1.8343807458877563, -0.4870358109474182, 0.09957754611968994, 0.07584479451179504, 0.5861184000968933, 0.8030864000320435, -0.6416001319885254, 1.1819674968719482, -0.47756603360176086, -0.22102804481983185, 0.93913334608078, 0.14053837954998016, -0.4888117015361786, -0.10742299258708954, 1.2124886512756348, 0.043926727026700974, 0.31449994444847107, 0.2706480324268341, -0.17241235077381134, -1.2745870351791382, -0.9219756126403809, -0.2956526279449463, 0.1788104772567749, -0.2752409279346466, 0.45489391684532166, 2.039994478225708, -1.119138240814209, -1.455863118171692, 0.5916927456855774, -0.471551775932312, -1.3424361944198608, -0.32938438653945923, -0.11196496337652206, -0.18229271471500397, 0.7869563102722168, -0.5839651226997375, -0.43278592824935913, -0.14372552931308746, -0.4596529006958008, 0.11342082172632217, -1.245566725730896, 1.6680312156677246, 0.23429366946220398, -0.05738203600049019, 0.3068563640117645, -0.1325456202030182, -0.46336475014686584, -0.0718097910284996, 0.8832691311836243, -0.6288970708847046, -0.4923159182071686, -0.8764281868934631, -0.019911449402570724, 0.1447691023349762, 0.8487311005592346, -0.019036341458559036, 1.0892107486724854, 0.015635298565030098, -0.7316464185714722, 0.27370399236679077, -1.338395357131958, -0.06151033937931061, 0.08327286690473557, 0.7712437510490417, 1.3249151706695557, 0.10013182461261749, 0.49474233388900757, -0.1701342910528183, 0.7639967799186707, -0.3583630919456482, 0.9763690233230591, -0.17111144959926605, -0.7225351929664612, 1.6113978624343872, 1.4602769613265991, -1.5129669904708862, -0.07993485033512115, 0.0801379382610321, -0.15017427504062653, -0.19215087592601776, 0.01969069242477417, -0.6529159545898438, -0.11503180116415024, -0.00531952828168869, 1.2287235260009766, -0.3611880838871002, 0.1441425383090973, -0.6252763271331787, 0.03455545753240585, 0.3742888271808624, 0.3981480896472931, -0.2738771140575409, -0.012768188491463661, -0.5925579071044922, -0.34566420316696167, 0.34364405274391174, 0.7248663902282715, -1.313924789428711, -0.1281883269548416, -0.04501711204648018, -1.3979175090789795, -0.39790472388267517, 0.32975611090660095, 0.16494031250476837, 0.6799528002738953, -0.7186130285263062, -0.6522778868675232, 0.6963245272636414, -0.23823121190071106, -0.8195567727088928, 1.0253785848617554, 0.5144373774528503, -0.72748863697052, 0.30808860063552856, -0.12029994279146194, 0.7800819873809814, -0.17456874251365662, 0.6420789957046509, -0.4698654115200043, -0.1124010905623436, 0.05444213002920151, 0.2080923616886139, -0.5367006659507751, 0.7574369311332703, -0.5721564888954163, 0.5196405649185181, -0.21214164793491364, -0.33205726742744446, 0.1788059026002884, -0.3066118061542511, -0.5934150815010071, -0.040871765464544296, -0.08392946422100067, -0.3478779196739197, 0.01096190046519041, 0.5725343227386475, 1.6952733993530273, -1.1414202451705933, -0.9850489497184753, 0.6160681843757629, 1.409498691558838, -1.608030915260315, 0.36126354336738586, 0.46970605850219727, -0.30536654591560364, -1.0037590265274048, 0.21496964991092682, 1.0435625314712524, 0.052344851195812225, 0.8434264659881592, 0.24277187883853912, 0.5836936235427856, -0.047476209700107574, -0.13836529850959778, 0.2221480756998062, 0.9225559830665588, -1.1600985527038574, -0.06765130907297134, 0.2574404180049896, 0.2448517084121704, -0.46817547082901, -0.2969128489494324, -1.7140148878097534, -0.7999827861785889, -0.05825978145003319, 0.687941312789917, 0.8115374445915222, 0.0037164478562772274, -0.8531314134597778, 0.01423758827149868, 0.19734904170036316, 0.13497419655323029, -0.5050728917121887, -0.8954586386680603, 0.20242159068584442, 0.939075767993927, -0.8015641570091248, 0.3117230534553528, -0.6194109916687012, 0.291341632604599, 0.500334620475769, -0.40698909759521484, 0.2272229641675949, 0.6018350124359131, -0.4321075975894928, 0.7307210564613342, 0.4885746240615845, -1.0965577363967896, -0.17620053887367249, 0.8950322270393372, 0.2748684883117676, 0.3128637373447418, -0.5981077551841736, -1.2824569940567017, -0.404365211725235, -0.38563022017478943, 0.22908008098602295, -0.8904781937599182, -0.5978578925132751, 0.6836804747581482, 0.871735692024231, 0.5855313539505005, -0.9994482398033142, -0.534486711025238, 0.03444254398345947, 0.43218979239463806, 0.6391684412956238, 0.7788495421409607, -1.6054710149765015, -0.6607480645179749, -0.8445810675621033, -0.8771277666091919, 0.5345319509506226, -0.6458950638771057, 0.7069571018218994, 0.13547749817371368, -0.9183562994003296, -0.27799445390701294, -0.48545747995376587, 1.3581786155700684, 1.0410785675048828, -0.35993126034736633, 1.0779293775558472, 0.016006991267204285, 0.6499021649360657, 1.786662220954895, -0.08085105568170547, -0.6681703925132751, 0.11642046272754669, 0.7240538597106934, 1.5252442359924316, -0.5395776629447937, -0.25941210985183716, 0.6313939690589905, -1.7221581935882568, 0.24971692264080048, 0.03220512345433235, 0.31605029106140137, -0.37911349534988403, 0.10504896193742752, 0.34793969988822937, 0.18135060369968414, -0.6385630965232849, -1.5131503343582153, 0.21712689101696014, -0.4511908292770386, 0.29346057772636414, -1.1130177974700928, -0.4912339448928833, -0.5358723402023315, 0.11639340221881866, 0.4567287266254425, 1.05928635597229, -0.15504588186740875, 0.1443292647600174, -0.17675021290779114, -1.6743873357772827, -0.6271072626113892, 0.07235401123762131, -0.5097880363464355, -0.5156012773513794, 0.5702841281890869, -0.9675717353820801, -0.2611163258552551, -1.2559248208999634, -1.2003549337387085, -0.2319134622812271, 0.47918111085891724, 0.9313584566116333, -0.9059239625930786, -0.6143321394920349, -0.22148525714874268, 0.3772459030151367, -0.9609493613243103, 1.4656614065170288, -0.19098858535289764, -1.2183195352554321, -0.8750489950180054, 0.47285711765289307, 0.43720075488090515, 0.19676154851913452, 0.24419726431369781, -0.755876362323761, 0.40229615569114685, -1.2140849828720093, -1.613488793373108, -0.7931338548660278, -0.7544580698013306, 0.27775752544403076, -0.5572774410247803, 0.3847161531448364, -0.948952853679657, -0.5037563443183899, 0.5098698139190674, 0.49759531021118164, -1.004175066947937, -0.15817691385746002, -0.7169167995452881, 0.4258112907409668, 1.8374052047729492, -0.07841289043426514, -0.3670412600040436, -0.88116055727005, -1.113143801689148, -1.1133683919906616, 0.43062666058540344, -0.06444741785526276, -0.7380608320236206, 1.3449007272720337, -0.40534645318984985, -0.7301532626152039, -1.4847187995910645, -0.8847211599349976, -0.1542169451713562, -0.8250112533569336, 0.027238190174102783, -0.15641318261623383, 0.27782735228538513, 0.7528610825538635, -0.9146077632904053, 0.5666743516921997, -1.112353801727295, -0.9330537915229797, -0.07622174173593521, -1.2877764701843262, 0.3951551616191864, 0.5802080631256104, -0.017948107793927193, -0.6016910076141357, 0.19141115248203278, 0.09374797344207764, -1.2601253986358643, 0.2709319293498993, -0.6834361553192139, 0.08132216334342957, -0.5339630246162415, -0.3221489489078522, 0.5687764286994934, 0.3089119791984558, -0.8847527503967285, -0.6841025948524475, -0.37341487407684326, -1.2389824390411377, -0.7836503982543945, -0.6609777212142944, 0.11867184937000275, 1.0813881158828735, 0.40759938955307007, 0.9134267568588257, 0.49587592482566833, -0.46183905005455017, 1.069383978843689, -1.2313872575759888, -0.20098192989826202, -0.08064433187246323, -0.42922860383987427, 0.6463505625724792, 1.1089271306991577, 0.5577297806739807, -0.11369991302490234, 0.4287451207637787, 0.7617196440696716, 0.506193995475769, 0.6700196862220764, 0.20405663549900055, 0.5403493046760559, -0.008336354978382587, -0.33073681592941284, 0.0227754395455122, -0.33331769704818726, -0.5068385004997253, -0.31785714626312256, -1.803615927696228, 0.026977889239788055, -0.09470988065004349, -0.5839740633964539, 0.12384020537137985, 1.153095006942749, 0.13680300116539001, 0.3947988450527191, -0.034251708537340164, -0.24371878802776337, 0.05881788581609726, 0.7686833143234253, -0.25567251443862915, -2.350419521331787, -0.6219907402992249, -0.7577118873596191, -0.1143527626991272, -0.2842502295970917, 0.7700055241584778, -1.3115832805633545, 0.11513293534517288, 0.20255377888679504, 0.6715772747993469, 1.4788951873779297, -0.7365414500236511, -0.39591678977012634, -0.6027650237083435, -0.8480504751205444, 0.3156200051307678, -0.4293733537197113, 0.823801577091217, -1.330951452255249, 0.018388789147138596, 0.06452099978923798, -0.7697569131851196, -0.2303183674812317, 0.21755805611610413, -0.4062969982624054, -0.5473576188087463, -0.6689309477806091, 0.8510288000106812, -0.9969217777252197, -0.0663527399301529, -0.3681594729423523, -0.670562744140625, 1.3399075269699097, -0.7913568615913391, -0.5514680743217468, -0.7420085668563843, 0.8335365653038025, -0.059871822595596313, 0.7043989300727844, -6.752251625061035, 0.024899806827306747, -0.895709216594696, -0.10219026356935501, 1.0004271268844604, -1.5616014003753662, 0.23642127215862274, -0.895149290561676, 0.6749153733253479, 0.3196968138217926, 0.21822142601013184, 0.24746684730052948, -1.1290457248687744, 0.1083536297082901, 1.1937127113342285, 0.5150555372238159, 2.5851128101348877, 0.5056039094924927, -0.6219733953475952, 1.480860710144043, -0.19179067015647888, -0.9559124112129211, -0.16451221704483032, -0.6964698433876038, -0.9112364053726196, -0.31962522864341736, 0.6865628361701965, 0.8811919093132019, 0.49536311626434326, 0.2275765836238861, -0.9908665418624878, 0.8438317775726318, 0.6653915047645569, 0.7987080812454224, 0.3679552972316742, -0.5270322561264038, 1.0178760290145874, -0.2866877317428589, 0.9007500410079956, -1.397477626800537, -0.06399288028478622, 0.6268947720527649, 0.6198313236236572, 0.5194080471992493, 0.2573759853839874, 0.6640911102294922, 0.19191639125347137, -0.9172117710113525, 0.4464093744754791, -0.546440601348877, 0.024070460349321365, -0.25853607058525085, 0.34702053666114807, -0.6877256631851196, 0.027307186275720596, -0.027029583230614662, 0.5520854592323303, -0.4687232971191406, -0.7158452272415161, -0.6653366088867188, 0.7998868823051453, -1.18928861618042, 0.3231034278869629, 0.38862720131874084, 1.6638985872268677, 0.3496072590351105, 0.9437946081161499, 0.49432435631752014, -0.7161415815353394, 1.9241257905960083, -0.6981975436210632, -0.07572702318429947, 0.7056527733802795, 0.5559815764427185, 0.21261559426784515, -0.014233683235943317, 0.5716583728790283, 0.5103666186332703, 0.43222129344940186, 0.15342003107070923, -0.2863486707210541, -0.43382692337036133, -1.4677104949951172, 0.7336719036102295, -0.044990174472332, -0.6249101161956787, -0.24269473552703857, -1.6487417221069336, -1.2624486684799194, -1.2334251403808594, -0.04710743576288223, 0.27835917472839355, -0.44404152035713196, -0.5208494663238525, 0.7691554427146912, -0.04871403053402901, 0.02883904241025448, -0.669940173625946, -0.8157535195350647, 1.0271331071853638, -0.12299828231334686, -0.14204344153404236, 0.8559731245040894, -0.579524576663971, -0.6908213496208191, -0.04840383678674698, -2.0322558879852295, 0.21417884528636932, 0.08625766634941101, -0.35617467761039734, -0.42346879839897156, -0.5159296989440918, -1.209507703781128, -0.2624558210372925, 0.33751994371414185, -0.7366783022880554, 0.21599619090557098, 0.26820215582847595, 0.38751715421676636, -0.8532747626304626, -0.6524177193641663, 0.4341343343257904, 0.37043339014053345, 0.26954415440559387, -0.2020491063594818, -0.815681517124176, 0.1576927900314331, -0.2456885725259781, 0.71417236328125, 0.29507455229759216, -1.524680495262146, -0.9229741096496582, -0.5414853096008301, 0.9151793122291565, -0.14287424087524414, 0.6882011890411377, 0.46626725792884827, 0.37679317593574524, -0.5410522818565369, 1.0841141939163208, 0.09470755606889725, 2.21793270111084, 0.21309196949005127, -0.03237076476216316, 0.25245794653892517, 0.329581081867218, 0.7903957962989807, -0.5530908703804016, -0.026477105915546417, -0.6942005157470703, 1.7756248712539673, -0.41998884081840515, 0.016964782029390335, 0.2668653726577759, -0.6588770151138306, -1.393467903137207, -0.5464513301849365, 1.2778128385543823, -1.084254264831543, -0.08055965602397919, -0.09717961400747299, 1.0370279550552368, 0.7173384428024292, 1.950720191001892, 0.5625545978546143, 0.6590160727500916, -0.6947628259658813, 0.08280312269926071, 1.251943826675415, 0.027970466762781143, -0.3327529728412628, -0.15288206934928894, -0.06883005052804947, 0.5690498948097229, 0.5087093710899353, 0.39678654074668884, -0.15922987461090088, -0.7063612937927246, -0.24684809148311615, -0.6594534516334534, -0.3600172996520996, 0.2609209716320038, 0.011315365321934223, -0.0887451246380806, -1.251921534538269, 0.5868554711341858, -0.6300053596496582, -1.4424469470977783, 1.0472803115844727, -0.6870369911193848, 0.06726624071598053, 0.10844241082668304, -0.6439850926399231, 0.11712808907032013, 0.38570666313171387, 0.3346273899078369, -0.2691692113876343, 1.1731568574905396, -0.4537431597709656, 0.7985541224479675, -0.15800639986991882, 0.9688445329666138, 0.681609034538269, -0.011277895420789719, 0.623479425907135, 0.7830073237419128, 0.36769089102745056, 0.8164485692977905, 0.6244513988494873, -0.008530691266059875, -0.30153384804725647, -0.09855762124061584 ]
139
0704.0141
Serguei Molodtsov
S.V. Molodtsov, G.M. Zinovjev
Towards self-consistent definition of instanton liquid parameters
11 pages, 4 figures
JHEP 0812:112,2008
10.1088/1126-6708/2008/12/112
null
hep-ph
null
The possibility of self-consistent determination of instanton liquid parameters is discussed together with the definition of optimal pseudo-particle configurations and comparing the various pseudo-particle ensembles. The weakening of repulsive interactions between pseudo-particles is argued and estimated.
[ { "created": "Mon, 2 Apr 2007 08:33:00 GMT", "version": "v1" } ]
2009-01-09
[ [ "Molodtsov", "S. V.", "" ], [ "Zinovjev", "G. M.", "" ] ]
07
[ -0.23304517567157745, -0.47594794631004333, 0.911177933216095, -0.053384482860565186, -0.4065189063549042, 0.41956159472465515, 0.36997345089912415, 1.0898934602737427, 1.0479741096496582, -1.48709237575531, -0.6290064454078674, 0.6904783844947815, -0.12302861362695694, 0.1443532407283783, -2.2261135578155518, 0.4574466943740845, 0.5629722476005554, -0.9609046578407288, 1.4186954498291016, 0.05643242225050926, -0.23386819660663605, -0.013648626394569874, -0.45024004578590393, -0.5327683687210083, -0.35285860300064087, 1.2441989183425903, -0.6237205266952515, 0.5997804999351501, -0.07648368924856186, 1.1092429161071777, -0.06418827921152115, 0.6373964548110962, 0.11156295239925385, 0.9265778660774231, 0.4245430529117584, 0.07224143296480179, 0.20167294144630432, 0.08947287499904633, -0.3486812710762024, 0.7685413956642151, 0.8606334924697876, 1.3520188331604004, -0.950108528137207, 0.7553480267524719, 0.5724449157714844, -0.056290414184331894, -0.21044854819774628, 0.40345218777656555, -0.9875639081001282, 0.5217739343643188, -0.010880406945943832, 0.717720091342926, 0.46512117981910706, 0.8292829990386963, 0.9221266508102417, 1.5321069955825806, -0.5762937664985657, -0.25626274943351746, -0.5495458841323853, -0.47623002529144287, 0.06648673117160797, 0.12515109777450562, 0.4410771429538727, 0.33355215191841125, -0.13990840315818787, -1.078221321105957, 1.0957123041152954, -0.9530454277992249, 0.2528533935546875, 0.43845149874687195, -0.5889228582382202, 0.7636010646820068, -0.6323671936988831, 0.4250234067440033, -0.9498811364173889, -0.3685799539089203, 0.8967038989067078, -0.9643742442131042, 0.5165572166442871, 0.6648370027542114, -0.029059989377856255, 0.6557748913764954, -0.9644551873207092, -1.3713438510894775, 0.4305030405521393, 0.8858956694602966, 0.0034882319159805775, -0.3763880431652069, 0.336782842874527, 0.6967664957046509, 1.474072813987732, -1.5245037078857422, 0.5673622488975525, -0.6520697474479675, 0.09298371523618698, 0.5567318797111511, -0.26520511507987976, 1.3187330961227417, 0.1753656566143036, 0.29852429032325745, -0.270611971616745, 1.2329181432724, -0.1276673823595047, 0.44475701451301575, -0.905321478843689, 1.212908148765564, -0.5779343843460083, -0.38063347339630127, 0.040366385132074356, 0.5623096227645874, 0.26308318972587585, -0.40091243386268616, -0.14486874639987946, -0.823725163936615, -1.4018306732177734, 0.3475295901298523, 0.9236371517181396, -0.07556191831827164, -1.3054165840148926, 0.3597221076488495, -0.6105967164039612, 0.7574547529220581, 1.8746237754821777, -0.5437352657318115, 0.5810902714729309, -1.0854897499084473, -1.0814931392669678, -0.429262638092041, -0.6780725717544556, -0.9113540649414062, 0.31023266911506653, 0.2013244479894638, 1.3113181591033936, 1.4415472745895386, -0.19838683307170868, -0.5829746723175049, -0.29636096954345703, 0.5654096603393555, 0.9634684324264526, -0.9806810617446899, -0.315805047750473, -0.4562930762767792, -0.44703203439712524, -0.35294878482818604, -0.19737960398197174, -0.04038376361131668, -0.4389278292655945, -1.5733447074890137, -0.705664873123169, 0.8420755863189697, 0.17506928741931915, -0.7738975286483765, -0.16067762672901154, 1.4517232179641724, -0.5201178193092346, -0.2892063558101654, 0.5854445099830627, -0.019152097404003143, 0.018488377332687378, -0.16371844708919525, 0.14676134288311005, -0.12463963031768799, 1.7479026317596436, -0.8676632642745972, 0.4916275441646576, -0.10531468689441681, 0.0029379476327449083, 0.7035953998565674, 0.323965460062027, 0.7877088785171509, 0.4803659915924072, 0.13009198009967804, -0.19119568169116974, 0.13365884125232697, -0.19791623950004578, -0.5912474989891052, 0.5440420508384705, -1.223349690437317, -0.6989130973815918, 0.83608078956604, -0.006739742122590542, 0.01665782928466797, -0.15579171478748322, 0.07963693886995316, -0.0912630558013916, -0.9801248908042908, 0.2371169626712799, -0.6946668028831482, -0.32505086064338684, -0.38767755031585693, -0.9690356850624084, 0.28481850028038025, -1.9233816862106323, -0.1431037336587906, 0.20980651676654816, 0.13237042725086212, 0.291117399930954, -0.47408562898635864, -0.5050098299980164, -0.40433457493782043, 0.20723019540309906, -0.0910102128982544, -0.5765794515609741, -0.7876892685890198, 0.524324893951416, -0.3181108236312866, 0.25217097997665405, -0.2310490608215332, -0.4728326201438904, -1.0797582864761353, 0.30154862999916077, 0.2513352930545807, -0.29298484325408936, -0.42319855093955994, 0.2219162881374359, -0.2833510637283325, -0.7828621864318848, -0.316376656293869, 0.24508492648601532, -0.6779677867889404, 0.3724970817565918, -0.04751626029610634, 1.4813947677612305, 0.5534446835517883, 0.7253738045692444, 0.029447641223669052, 1.0805346965789795, 0.24136823415756226, 0.47150516510009766, 0.5578242540359497, -0.8612856864929199, -0.1723889261484146, -0.9756616353988647, -0.7956594824790955, 0.1993531733751297, -0.41479504108428955, -0.139487624168396, -0.027273600921034813, 0.09787029772996902, -0.12125654518604279, 0.7851423025131226, 0.1700502187013626, -0.11862242966890335, -0.7964726090431213, -0.5413264036178589, -0.6740463376045227, -0.7964361310005188, 0.38918784260749817, 0.6944239735603333, -0.308218389749527, -0.4017011523246765, 0.7156500816345215, -0.011619459837675095, -1.20224928855896, -0.5143195986747742, 0.5255980491638184, 0.38777676224708557, 0.18727849423885345, 0.5204586982727051, -0.2809733748435974, 0.3525101840496063, -0.049813587218523026, -0.4779233932495117, -0.3121849000453949, -0.17929527163505554, -1.3498300313949585, -0.6621562242507935, 0.3926699161529541, -1.4949482679367065, -0.15912355482578278, -1.8465261459350586, -0.4033379852771759, -1.115407943725586, -1.8553128242492676, -0.36276382207870483, -1.2244309186935425, 0.6519326567649841, -0.4303349256515503, 0.016496170312166214, -1.0015619993209839, 0.3956286907196045, 0.6641613841056824, 0.5901381373405457, 1.026167631149292, 0.9826169013977051, 0.018544886261224747, 0.9447934031486511, -0.4982849657535553, -0.783257246017456, 0.013167452067136765, -0.08542665094137192, -0.21185070276260376, -0.5054680109024048, -0.9688270092010498, -2.025939702987671, 0.811028778553009, 0.14461879432201385, 0.7275804877281189, 0.2227049320936203, -1.1801598072052002, -0.4174956977367401, 0.983381450176239, -0.26065874099731445, 0.38484665751457214, -0.372323602437973, -0.3267063498497009, -0.4701019525527954, 0.07698497176170349, -0.4489952027797699, 0.19186115264892578, -0.0014209101209416986, 0.9807797074317932, 0.24272316694259644, -0.41783642768859863, -0.32105886936187744, -0.7513355612754822, -0.4456533193588257, -0.3783619701862335, -0.05035825073719025, 0.5444023013114929, 2.0358011722564697, 0.5963613986968994, 1.328616738319397, 0.6605600118637085, -0.7488735318183899, -0.5383825302124023, 0.2034624069929123, -0.10983143746852875, -0.36782312393188477, -0.5523381233215332, 0.3711141049861908, 1.1089740991592407, 0.18814638257026672, -0.36143869161605835, -1.0459626913070679, -0.3132081925868988, -1.3154609203338623, -0.3312501311302185, 1.7635465860366821, -0.23808549344539642, -0.21832814812660217, 0.5265001058578491, -1.072934865951538, 0.2656461298465729, -0.8397972583770752, 0.6464136242866516, 0.5628675818443298, 0.2730720341205597, -0.49352332949638367, 0.4865407943725586, -1.4071788787841797, -1.1529595851898193, 0.6058709025382996, 1.033554196357727, 0.14864596724510193, -0.18462638556957245, 0.2967112064361572, 1.0207371711730957, 0.22220084071159363, -0.47988030314445496, 0.49444299936294556, 0.6681082248687744, 0.732368528842926, 0.08338993042707443, -0.5445136427879333, -0.9911167025566101, -1.134361743927002, -0.8718263506889343, -1.0849591493606567, -0.09909673035144806, -0.834145724773407, -0.39216354489326477, 0.5112431645393372, -0.4270586669445038, -0.30860835313796997, -0.7381951212882996, -0.4191201329231262, 0.7144171595573425, -0.6296278834342957, -0.45506516098976135, 0.2385411113500595, -0.12901096045970917, -0.8954567313194275, -0.009329503402113914, -0.5950496196746826, 0.6408829689025879, 1.5265281200408936, 0.8825322985649109, -0.40961840748786926, 0.5358030200004578, 0.07021961361169815, -0.13410238921642303, 0.5186327695846558, 0.0801730677485466, -0.6422923803329468, -0.030964979901909828, 1.4319216012954712, -0.03191173076629639, 0.2066459059715271, 1.3948804140090942, 0.7755095362663269, -0.07266973704099655, 0.02947353385388851, 0.29244646430015564, 0.15226995944976807, -0.43896034359931946, 1.1020312309265137, 0.752766489982605, -1.2763408422470093, -0.8625669479370117, -0.6936492323875427, 0.9397213459014893, -0.1345820426940918, -0.6907458901405334, 1.4249374866485596, -0.5671606659889221, -0.15984708070755005, 1.6422699689865112, -0.08958328515291214, 0.23086240887641907, 0.01603531278669834, 0.557344913482666, -0.17609326541423798, 1.778271198272705, 0.31273192167282104, 0.1596558392047882, 0.5518106818199158, 0.11175248771905899, -0.35739025473594666, -0.48714739084243774, -0.4566155970096588, -0.18376779556274414, 0.6808805465698242, -0.18053875863552094, -0.6887310743331909, -0.6148712635040283, 0.5817316174507141, -0.1304025650024414, 0.8440558314323425, -1.3730707168579102, 0.2799559235572815, 0.44196245074272156, 0.2002619504928589, 0.7567597031593323, -0.18674856424331665, -0.576582133769989, -1.666239619255066, -0.33897170424461365, -0.2277192771434784, -1.0647070407867432, 0.6544853448867798, -1.3355281352996826, -0.5089355707168579, 0.025528699159622192, 0.5068309307098389, -0.6123160719871521, 1.2447021007537842, 0.9752250909805298, 0.5027099251747131, -0.06723670661449432, -0.3386871814727783, 0.06030803918838501, -0.3347477912902832, -1.627893090248108, 0.3159204423427582, 0.8988431096076965, -0.07760876417160034, 0.05710586532950401, 0.7421994209289551, -0.13899283111095428, -0.20620697736740112, -0.7709107995033264, 0.5799554586410522, -1.5138359069824219, 0.0453806072473526, -0.638140082359314, 0.7678095698356628, 0.48914527893066406, 0.06264954060316086, 0.0659618154168129, 1.5823948383331299, 2.0818958282470703, -0.628932535648346, -0.005820585880428553, -0.12110669910907745, -0.12970563769340515, -0.11254006624221802, 0.6820974349975586, -0.777733564376831, 1.9136223793029785, 1.2169890403747559, -0.0898943543434143, -0.450290322303772, 0.03701858967542648, 1.2615920305252075, 0.9406428933143616, 0.6317830085754395, -0.3074164092540741, -0.2789546251296997, -0.7724800109863281, -0.21869033575057983, -1.353128433227539, 0.726489245891571, -0.3441092073917389, -1.5570998191833496, -0.4152384400367737, 0.25782379508018494, -0.8287777304649353, 0.2011404037475586, 0.019215844571590424, 0.6868911981582642, -0.37733155488967896, 0.7843600511550903, 0.2432611882686615, -0.4812937378883362, 0.3244960308074951, -1.491923213005066, -2.7660105228424072, 0.11608663201332092, -0.42703738808631897, -0.7804553508758545, 0.226009339094162, 0.2626982033252716, -0.5585732460021973, 0.5245569944381714, 0.32538020610809326, 0.7497669458389282, 0.28883814811706543, -1.5460442304611206, 0.4199632704257965, 0.2363460212945938, -0.912122905254364, -0.31369853019714355, -0.7639065384864807, -0.7393065690994263, -0.8377714157104492, 0.6825327277183533, -0.027412451803684235, -0.7762746214866638, -0.7170566916465759, -0.5911282300949097, 0.062423817813396454, 0.9108120203018188, -0.9990158081054688, -0.21495775878429413, -0.0953122079372406, 0.29185792803764343, -0.1363338977098465, 0.27410727739334106, 0.12413904070854187, 0.36841052770614624, -0.6173686385154724, -0.5538208484649658, 0.3302423655986786, 0.41965317726135254, 0.556143581867218, -7.66947078704834, 0.4501219391822815, -1.1833795309066772, -0.2446468323469162, 0.4723341166973114, 0.1799451857805252, -0.03715883940458298, -0.10099437087774277, 0.7251853942871094, -1.492253065109253, 0.06497011333703995, 0.2127261459827423, 0.08557500690221786, -0.6192042231559753, 0.38738036155700684, -0.9084213376045227, -0.07772092521190643, -0.6238453388214111, -1.645373821258545, 1.2727028131484985, -0.45708292722702026, 1.5058567523956299, -0.4098193943500519, -0.46368053555488586, -0.49880415201187134, 0.7542459964752197, -0.4304964244365692, 0.634453296661377, -0.5715689063072205, 0.737153172492981, 0.501358687877655, 2.6032931804656982, 0.3353824019432068, -0.06240103393793106, -0.679654061794281, -1.5794950723648071, 0.48508092761039734, 1.153414011001587, 0.346524715423584, -0.9934476017951965, 0.6662442684173584, -1.058255910873413, -0.7853683233261108, -1.4755226373672485, -0.2613205909729004, 0.6448169946670532, 0.1922798901796341, -0.6877424120903015, 0.2782291769981384, 0.39134350419044495, 0.16559480130672455, -0.7275227308273315, -0.2759343981742859, 0.8338809013366699, -0.5177268981933594, -0.7787657380104065, -0.5189452767372131, -0.15974222123622894, -0.4796489179134369, -0.20008111000061035, 0.8610314130783081, -1.1566267013549805, 0.631193220615387, -1.1391392946243286, -0.21842066943645477, -0.5941531658172607, -1.365643858909607, 0.27407917380332947, -0.027053140103816986, 0.36323168873786926, -0.19556909799575806, -1.1476566791534424, 1.1793385744094849, -0.9869723916053772, -0.3914378881454468, -0.5493206977844238, 0.33968958258628845, -0.29189538955688477, 0.17282746732234955, -0.07601913064718246, 0.16182611882686615, 0.5029853582382202, -0.31964680552482605, 0.8446864485740662, -0.02199201099574566, -1.7229270935058594, -0.3325861096382141, -0.5118204951286316, -0.23931187391281128, 0.3614591360092163, 0.5302079319953918, -0.6674338579177856, -0.367905855178833, 1.1155025959014893, -1.0505982637405396, -0.13140614330768585, -0.2146921157836914, -1.4334925413131714, -0.13943083584308624, 0.1175926923751831, 0.18668758869171143, 0.16330045461654663, 0.20658737421035767, 0.0215150136500597, 0.22223888337612152, -0.42562130093574524, -0.33393198251724243, 0.19550073146820068, 0.25896525382995605, 0.5045297145843506, 0.3321795165538788, 1.0577768087387085, -0.8908315300941467, 0.47849106788635254, -0.6719950437545776, -0.5765755772590637, -0.0985104963183403, 0.1464567631483078, -0.817893385887146, -0.36080169677734375, -1.8359251022338867, 0.5015441179275513, 0.7024855613708496, -1.3470957279205322, 0.5518477559089661, 0.08019354194402695, -0.04266977682709694, -1.5618783235549927, 0.1321694552898407, 0.731627345085144, 0.654865562915802, -0.32666945457458496, 0.5287951827049255, 0.8895310759544373, -0.5455529093742371, -0.3095507025718689, -0.0780465304851532, 0.7800430655479431, 0.1606273353099823, 1.1354161500930786, 1.1298869848251343, 1.2820110321044922, 1.2185920476913452, 0.13561716675758362, 0.02203410677611828, -0.454926997423172, 0.3649214208126068, -0.4779875576496124, 0.7302584052085876, -0.22936175763607025, 0.1277545541524887, 0.3656982183456421, 0.6002802848815918, 2.6859476566314697, -0.43333399295806885, -0.2246580570936203, -0.5740731954574585, 0.45942094922065735, -0.8357514142990112, -0.4378330409526825, -0.2113219052553177, 0.4277845025062561, -0.9189424514770508, 0.11915772408246994, -0.6107945442199707, -0.7203820943832397, -1.1837257146835327, -0.5717798471450806, 1.0804756879806519, -0.47421082854270935, -0.061912182718515396, -0.661551833152771, -1.1173675060272217, 0.07793929427862167, 0.4571881592273712, 0.019627688452601433, -0.12436363846063614, -0.5406123995780945, -0.15612107515335083, -0.4025575816631317, -0.5564865469932556, 0.9218579530715942, 0.8169096112251282, -0.12043165415525436, 0.3834463655948639, -0.7732877731323242, -0.3267799913883209, 0.3033106029033661, -0.14129871129989624, 0.4362872242927551, -1.352280616760254, 0.4323861598968506, -1.993972659111023, -0.306598424911499, -0.10121654719114304, -0.18562857806682587, 0.17389921844005585, 0.70210200548172, -0.05181967839598656, 0.6596801280975342, -0.04579129442572594, 0.41750380396842957, 0.6034271717071533, -0.2691127061843872, -0.5032039880752563, -0.945003867149353, -0.5089250206947327, -0.21608126163482666, -0.341079980134964, -0.2740955054759979, 0.05790885165333748, -0.09288334101438522 ]
140
0704.0142
J. Kaupuzs
J. Kaupuzs
Some aspects of the nonperturbative renormalization of the phi^4 model
11 pages, no figures. This version is consistent with the accepted (now published) paper.
Int.J.Mod.Phys.B23:5935-5947,2009
10.1142/S0217979209054697
null
cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A nonperturbative renormalization of the phi^4 model is considered. First we integrate out only a single pair of conjugated modes with wave vectors +/- q. Then we are looking for the RG equation which would describe the transformation of the Hamiltonian under the integration over a shell Lambda - d Lambda < k < Lambda, where d Lambda -> 0. We show that the known Wegner--Houghton equation is consistent with the assumption of a simple superposition of the integration results for +/- q. The renormalized action can be expanded in powers of the phi^4 coupling constant u in the high temperature phase at u -> 0. We compare the expansion coefficients with those exactly calculated by the diagrammatic perturbative method, and find some inconsistency. It causes a question in which sense the Wegner-Houghton equation is really exact.
[ { "created": "Mon, 2 Apr 2007 09:15:03 GMT", "version": "v1" }, { "created": "Fri, 9 Apr 2010 10:08:07 GMT", "version": "v2" } ]
2010-04-13
[ [ "Kaupuzs", "J.", "" ] ]
07
[ -0.13099439442157745, -0.6344332695007324, -1.0889856815338135, 0.8090161681175232, 0.577359139919281, -0.01935335248708725, -0.23079708218574524, -0.2586279809474945, -0.28769490122795105, -1.534297227859497, -0.6888852715492249, 0.25890323519706726, 0.26411813497543335, 1.1452349424362183, -0.5189017653465271, -0.06296279281377792, -0.8079454302787781, -1.3202201128005981, 0.5592267513275146, 0.3052392303943634, -0.001126452349126339, 0.35015785694122314, -0.32802465558052063, -0.6964958906173706, -0.9769437313079834, -0.10633107274770737, -0.3754561245441437, 0.5250688195228577, 0.1630871295928955, -0.6917335987091064, 0.10359843075275421, 0.4325767159461975, -0.3704608380794525, -0.09450031816959381, 0.4808248281478882, -0.7698807716369629, -0.12131879478693008, -0.9625701308250427, 0.3252805471420288, 0.718112051486969, 0.3973728120326996, 2.0726375579833984, -0.1345522403717041, 0.13178527355194092, 0.29832756519317627, -1.6533927917480469, -1.0448633432388306, -1.145803689956665, 0.37842103838920593, 0.7856358885765076, -0.1362772285938263, 0.41695719957351685, 0.30074647068977356, -0.6333907246589661, 1.1553391218185425, 0.18086758255958557, -0.9063056111335754, 0.6369430422782898, 0.32934439182281494, 0.14084884524345398, -0.07176531851291656, -0.3909432590007782, 0.3505823016166687, -0.03046875074505806, -0.34989261627197266, 0.5344995260238647, 0.6229473948478699, 0.34477993845939636, 1.3287512063980103, 0.5436081290245056, 0.1124664843082428, 0.024132324382662773, -0.41568005084991455, 0.20955277979373932, 1.396776556968689, -0.4650827944278717, -0.10909537225961685, -0.9208585619926453, 0.3893480598926544, 0.07272076606750488, -0.6658648252487183, -0.14869451522827148, -1.4257150888442993, -0.04628828912973404, 0.035925231873989105, 0.2400963455438614, 0.518315851688385, -0.2294396013021469, 0.10816425085067749, 0.29424911737442017, -0.021813225001096725, -1.1334127187728882, 0.15589599311351776, 0.5505870580673218, -0.17942309379577637, -0.3743230700492859, -1.1155147552490234, 0.6003837585449219, 0.1836976557970047, 0.17460162937641144, 0.2950563430786133, 0.3240465521812439, -0.16991233825683594, -0.25755900144577026, 0.48258256912231445, 0.8656624555587769, 0.5294822454452515, 1.0753997564315796, 0.1724122166633606, -0.27979645133018494, 0.1491841822862625, 0.060139250010252, 0.5572614073753357, 0.9190551042556763, -0.4226245880126953, 2.107820749282837, 1.264651894569397, 0.748639702796936, -0.6863254308700562, 1.5315873622894287, 0.20237351953983307, -0.025840748101472855, 1.5622607469558716, 0.2658301889896393, 0.3326030671596527, -0.9992241859436035, -0.9398185014724731, 0.17485812306404114, 0.2997695505619049, -0.8205149173736572, 1.953499674797058, 0.21341116726398468, -0.5444559454917908, -0.7381062507629395, 0.2071927934885025, 0.5010121464729309, 0.30628567934036255, 0.11954336613416672, 0.39126327633857727, -0.36500436067581177, -1.5352668762207031, -0.9390795826911926, -0.3453364968299866, 0.5286511778831482, 0.9925926327705383, -0.19996953010559082, -1.9317680597305298, -1.3676228523254395, -0.275877982378006, 0.7171338796615601, 0.36838486790657043, -1.0349687337875366, 0.1744505763053894, 0.7266988158226013, -1.2593269348144531, -0.23548807203769684, 0.6215250492095947, 1.0002391338348389, 0.41769683361053467, -0.6771140694618225, 0.7242177724838257, 0.3633979558944702, -0.1978996843099594, -1.7247464656829834, 0.3892424404621124, -0.00026903615798801184, 0.4698544442653656, 0.5432112812995911, -1.6002522706985474, -0.2836505174636841, -0.49499979615211487, -0.45643824338912964, 0.743200421333313, -0.3705718219280243, 0.07414611428976059, -0.5486177206039429, 0.7488990426063538, -0.27078431844711304, -0.16662512719631195, 0.8781479597091675, 0.04318355768918991, -1.1608327627182007, -1.1178110837936401, 0.8449893593788147, -0.9467953443527222, -0.017848005518317223, -1.3340537548065186, -1.673886775970459, 0.018635572865605354, -0.40194469690322876, -0.809769332408905, 0.27005210518836975, -1.3391555547714233, -1.2830044031143188, -0.3994843661785126, 0.2710115611553192, 0.5913207530975342, 0.2997331917285919, -0.9194815754890442, 0.40519657731056213, 0.6831773519515991, -0.3367103040218353, -0.5463950037956238, -0.5703039169311523, 0.0839242935180664, 0.9318225979804993, -1.1524804830551147, 0.560399055480957, -2.08796763420105, 0.7954829931259155, 0.1969427913427353, -0.07095430791378021, -0.4840085208415985, 0.09547346085309982, 0.4623315632343292, -0.16295814514160156, 1.074073314666748, -0.7049053311347961, -0.5229131579399109, 0.7588401436805725, 0.23804925382137299, 0.15200848877429962, -0.7952463626861572, 0.8528246879577637, 0.662284255027771, 0.20028698444366455, 0.32946404814720154, 0.3098018765449524, -0.37922918796539307, -0.38401344418525696, 0.07485093921422958, 0.42408591508865356, -0.26005643606185913, 0.029631199315190315, -0.13631315529346466, 0.20477329194545746, -0.2934616506099701, -0.42447590827941895, -0.659026026725769, 0.4133404493331909, 0.32082024216651917, -1.4195048809051514, 0.8543887734413147, 0.017244284972548485, 0.021249471232295036, 0.39332807064056396, 0.8287510275840759, -0.04404866695404053, 1.6865328550338745, 0.24856457114219666, -0.5613032579421997, -0.42462021112442017, 0.7848373055458069, 1.1614309549331665, 0.4194989800453186, -0.25049328804016113, 0.12946337461471558, 0.549004316329956, 1.0349613428115845, -0.07932969182729721, 0.011139336042106152, -0.23273879289627075, -0.3786756992340088, -0.39543333649635315, 0.45395442843437195, -1.363379716873169, -0.18107786774635315, -0.09624188393354416, 0.18276001513004303, 0.19897523522377014, -0.6823367476463318, 0.9917389154434204, -0.1356152445077896, -0.25022873282432556, -0.2463218718767166, -0.6087608337402344, 0.00803463440388441, -0.25945156812667847, -0.09649477154016495, 0.06328698247671127, -0.3574864864349365, 1.0349206924438477, 0.2794501483440399, -0.3083058297634125, 0.22426173090934753, 0.6535877585411072, 0.05733684450387955, -0.5817983746528625, -0.6972534656524658, -0.1866127997636795, 0.12496331334114075, 0.24024005234241486, -1.0883539915084839, -0.02162434160709381, -0.08667761087417603, -0.052836593240499496, 1.3123672008514404, -0.898829460144043, -0.11771083623170853, -0.10479237884283066, -0.1393798291683197, 0.4121120870113373, 0.11188512295484543, -0.18263135850429535, 0.39278438687324524, -0.6471719741821289, -0.21102261543273926, -0.05026945099234581, -0.2722146809101105, -0.7995043396949768, -0.30690309405326843, 0.36576494574546814, -1.0452033281326294, -0.228817418217659, -0.6945816874504089, -0.2896498143672943, 0.6819841265678406, 0.9517111778259277, -0.19659189879894257, 0.37187105417251587, -0.4598795473575592, 1.140729308128357, 0.26181474328041077, 1.0764672756195068, 0.5407876968383789, -1.0254122018814087, -0.0808228924870491, 0.2495207041501999, -0.7402675151824951, -0.4012782871723175, 0.12991991639137268, 0.9710485339164734, 0.5068740844726562, 1.2841317653656006, 0.05593257024884224, -0.048494040966033936, -1.1270774602890015, -0.9900152683258057, 0.748507559299469, -0.24374040961265564, 0.383236825466156, -0.2746324837207794, 0.3979017734527588, 0.4330545663833618, -1.7203657627105713, 0.43305960297584534, -0.045517582446336746, -0.4700919985771179, -1.3734110593795776, -0.2633291482925415, -1.0894113779067993, 0.2840869426727295, 0.14599691331386566, -0.3492031395435333, -0.3250984251499176, 0.10797961801290512, 0.12658348679542542, 0.9048255085945129, -0.7836716175079346, 0.0825648084282875, -0.01483961008489132, -0.12111861258745193, 0.1676628589630127, -0.4405304491519928, -0.28612828254699707, -0.1360943764448166, -0.5487632155418396, -0.31756067276000977, -0.6092546582221985, 0.18119120597839355, -0.9467571973800659, -0.28374919295310974, -0.7494843006134033, -0.6762004494667053, -0.5425557494163513, -0.08825720846652985, 0.7212825417518616, 0.8217207789421082, -0.4399999678134918, -0.3692193329334259, 0.21653345227241516, 0.7422430515289307, 0.6732893586158752, 0.018986986950039864, 0.44107213616371155, 0.19965417683124542, 0.9159797430038452, 0.33678731322288513, -0.2196255624294281, 0.3119090795516968, 0.11029703170061111, -0.7585726380348206, -0.3168206810951233, 0.531479001045227, 0.46237462759017944, -1.075840711593628, 0.006410588044673204, -0.22132529318332672, -0.07434288412332535, 0.7501851320266724, -0.7924853563308716, -0.5894997715950012, -0.8309367895126343, -0.6826490759849548, -0.8940187096595764, -0.520717442035675, 1.3253824710845947, -0.3705954849720001, -0.3976873457431793, 1.039023995399475, 0.6633093953132629, 2.189838409423828, -0.606978178024292, 0.9304608702659607, 0.7088822722434998, -1.0468257665634155, 0.04079722985625267, -0.36276987195014954, -0.4514804780483246, 1.0442029237747192, -0.19135379791259766, -0.9129132032394409, 0.0877663791179657, -0.45793795585632324, 0.10396302491426468, -0.6050963401794434, -0.14977827668190002, -0.6050469875335693, 0.5635793805122375, -0.03146485984325409, 0.5868918895721436, 0.4144092798233032, -0.18679550290107727, 1.0868620872497559, -0.4493092894554138, -1.6692646741867065, -0.8851869106292725, 1.8083884716033936, -0.22209259867668152, -0.20333822071552277, 0.21779324114322662, 1.614782452583313, 0.31509917974472046, -0.9187292456626892, 0.08590829372406006, -1.9394158124923706, -0.5403327345848083, 1.0693844556808472, 1.0599437952041626, 0.25597694516181946, 0.20547296106815338, -0.5956259965896606, -0.9349921345710754, -0.2917209565639496, 1.037702202796936, -0.3895406723022461, 0.03490818291902542, 0.19710461795330048, 0.1273868978023529, -0.4859645664691925, -0.0021225460804998875, -0.32464316487312317, 0.23086833953857422, -2.0069384574890137, -0.11345116794109344, -1.5255683660507202, 0.45525822043418884, -1.0104299783706665, -1.83759605884552, 0.4104297161102295, 0.33185598254203796, 0.3061147630214691, 0.954766035079956, -0.5004096627235413, -0.4997025728225708, -0.8840819597244263, 0.6111124157905579, 0.9452199339866638, -0.030628034844994545, 0.39385858178138733, 0.9757111668586731, 1.454279899597168, -1.3236638307571411, 0.20844894647598267, -0.34551817178726196, -0.3791447877883911, -0.7975176572799683, -1.0801341533660889, -1.0606414079666138, 1.936462163925171, 1.0298855304718018, 0.947611391544342, -0.1161043792963028, 1.1685317754745483, -0.13843822479248047, 1.5058367252349854, 0.5471855998039246, 0.02676701731979847, -0.45601886510849, -0.503704309463501, 0.036331865936517715, 0.375432550907135, -0.3990345597267151, -0.29349052906036377, -0.07453140616416931, -0.43483424186706543, -0.6168730854988098, 1.7029260396957397, 0.10795608907938004, 1.2766942977905273, -0.7643253207206726, 0.1443246454000473, 0.563947319984436, 1.418516755104065, -0.2272835522890091, -0.862697422504425, 1.1575356721878052, -2.585327625274658, -0.810488760471344, 0.10060081630945206, 0.9536232352256775, -0.5059961080551147, 0.5368191599845886, -0.146449014544487, -0.471132755279541, 0.8204310536384583, 0.2421979457139969, -0.21257248520851135, -0.3718428611755371, 0.8553077578544617, -0.6496194005012512, 0.49398642778396606, -0.00844900868833065, -0.2423728108406067, 1.1758685111999512, 0.8899902105331421, 0.6110346913337708, 0.6437724828720093, -2.1414031982421875, -0.39401113986968994, 0.7575322389602661, -0.46244558691978455, -0.45210570096969604, -1.1382428407669067, -0.2093247026205063, -0.1601070612668991, -0.17347486317157745, -0.18282844126224518, 0.23950771987438202, 0.8111658096313477, -0.49628689885139465, -0.158247172832489, -1.795130729675293, -0.7401657104492188, -0.6493001580238342, -1.4530476331710815, -7.552245140075684, -0.4506674110889435, 0.26642248034477234, -0.5531853437423706, 0.47585493326187134, -0.3816335201263428, 0.1179560124874115, -0.6118351221084595, 0.6700624823570251, 0.7189168334007263, -0.03254290297627449, -0.2005387842655182, -0.7913672924041748, 0.11109158396720886, -0.3407555818557739, -1.0049810409545898, 0.891758382320404, -0.9969614744186401, 0.20848612487316132, 0.49581384658813477, -0.3225034177303314, 0.6504027843475342, -0.7062439918518066, -1.0810824632644653, -0.23617905378341675, -0.6465651392936707, 0.4014420807361603, -0.3776520788669586, -0.12851054966449738, -0.0538291372358799, -0.39746227860450745, 1.7804278135299683, 0.3466271162033081, 0.6362431049346924, 0.7455042004585266, -1.3942875862121582, 0.40757644176483154, 0.7920705080032349, 0.2363545447587967, -1.0475075244903564, 0.33222466707229614, -0.5383012890815735, -0.42155542969703674, -0.9645630121231079, 0.35543128848075867, 1.3009517192840576, 0.7201642394065857, 0.9627209305763245, -0.09836752712726593, 0.11903389543294907, -0.28600114583969116, 0.2575014531612396, 0.5173493027687073, 0.9409136772155762, -0.43583959341049194, -1.0356385707855225, -1.226380467414856, 0.2668741047382355, -1.2934601306915283, -0.787197470664978, -0.02154476009309292, -0.14152351021766663, -0.027655407786369324, 0.0026622482109814882, -1.35272216796875, -0.6149540543556213, 0.24179266393184662, 0.5557973980903625, 0.22878511250019073, 1.8598166704177856, -0.753333330154419, -0.6447712779045105, -1.0597989559173584, 0.208939328789711, -1.2664337158203125, -1.3438138961791992, -0.19806160032749176, 0.7410405874252319, 0.1595953404903412, 0.7618037462234497, -0.035393595695495605, -0.26024913787841797, -0.6997621655464172, 0.5211099982261658, 0.20193642377853394, -0.4707416892051697, 0.11866773664951324, -0.4568326771259308, -0.2291211485862732, 0.08326878398656845, 0.07615676522254944, -0.9121626615524292, 0.46053922176361084, -0.37209951877593994, 0.7144572138786316, -0.0266617052257061, 0.8968090415000916, -0.8235609531402588, -0.6991555690765381, 0.8084352612495422, -1.3118007183074951, -1.279323697090149, -0.22887380421161652, 1.091971516609192, 0.49055206775665283, 0.5481095910072327, -0.9246795773506165, -1.0978518724441528, -0.33540624380111694, 0.25415852665901184, -0.8418613076210022, 0.03633349761366844, 0.4977075755596161, -1.7232542037963867, -0.619621753692627, -0.04684183746576309, -0.2408754527568817, 0.4452524781227112, -0.4082103371620178, -1.0649478435516357, -0.6985398530960083, -0.480918824672699, 1.6424949169158936, -0.5618578791618347, 0.44140249490737915, -0.8930912017822266, 0.5000652074813843, 0.37899354100227356, -1.608171820640564, -0.16552576422691345, 0.14597873389720917, -0.08990491181612015, 0.05371502414345741, 0.40773463249206543, -0.25152522325515747, -0.044451672583818436, 0.23783917725086212, 0.13208884000778198, -0.3631961941719055, 1.666670560836792, 0.8594278693199158, -0.5991158485412598, -0.5663012266159058, 0.16951508820056915, -0.06526375561952591, -0.6197270154953003, -1.0466541051864624, -0.044668279588222504, -1.3438055515289307, -0.11154265701770782, 0.7589110732078552, 0.4879712462425232, -0.4158364534378052, 0.8665106892585754, 0.5197106003761292, -0.4243772327899933, -0.278346985578537, -0.9266036748886108, -0.17366614937782288, -0.8339574933052063, -0.7784938216209412, -0.05999097600579262, 0.09014830738306046, 0.836428701877594, -0.0009579090401530266, 0.536980152130127, -0.452272891998291, 0.06146211177110672, 0.3308497965335846, -1.9471226930618286, 0.10263883322477341, 0.9449194669723511, -0.3064016103744507, 0.06362370401620865, -0.39583832025527954, 1.8568127155303955, -1.1809929609298706, -0.38095566630363464, 0.8424223065376282, -1.3436591625213623, -0.5403017997741699, 1.2518444061279297, 0.037501804530620575, 1.4018298387527466, -0.664715051651001, 1.7146567106246948, -0.8296319246292114, 0.7335951328277588, -0.5364357233047485, -0.4498116970062256, -0.09191543608903885, -0.18008653819561005, -0.12764370441436768, -0.5355494022369385, -0.08904282748699188, 0.658905029296875, 0.7387455701828003, -0.023341387510299683, -1.1834994554519653, -0.4074673354625702, -0.2680489122867584, 1.1986784934997559, 0.662879467010498, -0.34682250022888184, 0.12975598871707916, 0.7290021777153015, 0.08279220014810562, 0.7274108529090881, 0.03226934373378754, 0.8734408617019653, 1.1603267192840576, -0.10213452577590942 ]
141
0704.0143
Serguei Molodtsov
S.V. Molodtsov, G.M. Zinovjev
Instanton Liquid at Finite Temperature and Chemical Potential of Quarks
9 pages, 2 figures
Phys.Part.Nucl.Lett.4:11-17,2007; PismaFiz.Elem.Chast.Atom.Yadra2007N1:25-35,2007
10.1134/S1547477107010037
null
hep-ph
null
Instanton liquid in heated and strongly interacting matter is studied using the variational principle. The dependence of the instanton liquid density (gluon condensate) on the temperature and the quark chemical potential is determined under the assumption that, at finite temperatures, the dominant contribution is given by an ensemble of calorons. The respective one-loop effective quark Lagrangian is used.
[ { "created": "Mon, 2 Apr 2007 08:38:43 GMT", "version": "v1" } ]
2008-11-26
[ [ "Molodtsov", "S. V.", "" ], [ "Zinovjev", "G. M.", "" ] ]
07
[ 0.35070857405662537, -0.12238934636116028, 0.12574562430381775, 0.13263079524040222, -0.9482712745666504, 0.2359192967414856, 0.1347416192293167, 0.42108654975891113, 0.49304503202438354, -0.6160030961036682, -0.5253934860229492, 1.417559266090393, -0.33499211072921753, 0.17647072672843933, -0.8345153331756592, 0.4724693298339844, -0.39030689001083374, 0.34528857469558716, -0.1511526107788086, -0.4063449203968048, 0.4765530228614807, -0.15276551246643066, -0.39563316106796265, -0.7656714916229248, -0.9406047463417053, 1.8765276670455933, 0.02157420851290226, 0.034847691655159, 0.2142391800880432, 0.5155306458473206, 0.15658561885356903, 0.9268483519554138, 0.23594900965690613, 0.2503325939178467, 0.9830978512763977, 0.5387415885925293, 1.1346324682235718, -0.5546897649765015, 0.4914664924144745, 0.4592099189758301, 0.8060724139213562, 1.9175466299057007, -0.53171706199646, 0.7101072072982788, 0.34088197350502014, -0.4505406618118286, -0.06026829034090042, 0.37856152653694153, -0.5650985240936279, 0.58098965883255, -0.14024175703525543, 0.1497446894645691, 1.2386683225631714, 1.1755452156066895, 0.8795952796936035, 1.01787269115448, 0.15675750374794006, 0.27680373191833496, -1.0087100267410278, -0.5416302680969238, -0.0852600634098053, -0.4052274525165558, 0.7607914805412292, 0.17788679897785187, 0.11337176710367203, -1.9274088144302368, 0.9345043301582336, -0.8559144139289856, 0.16233694553375244, 0.49795427918434143, -1.2031549215316772, 0.7085813283920288, -0.5829087495803833, 0.4777126908302307, -0.8809174299240112, -0.479997456073761, 0.20678600668907166, -1.1474535465240479, 1.0098340511322021, 0.7623634934425354, 0.8886221647262573, -0.41231152415275574, -0.7139296531677246, -1.001041054725647, 0.7778600454330444, 0.504927396774292, -0.48597055673599243, 0.27204686403274536, -0.5584529042243958, 0.3891538977622986, 1.2734229564666748, -1.0731596946716309, 0.484355628490448, 0.355996698141098, -0.6044946312904358, -0.3696250915527344, 0.5670810341835022, -0.4672905504703522, -0.13471020758152008, -0.4351159632205963, -0.6555117964744568, 0.8757249712944031, -0.12160705029964447, 0.5757458209991455, -0.6883876323699951, 0.8545186519622803, -0.6133516430854797, -0.5874375104904175, -0.09354458004236221, 0.3813929259777069, 0.027110625058412552, -1.3612021207809448, -0.4221440851688385, -0.22972258925437927, -1.728380799293518, -0.2031993567943573, 0.9666669964790344, 0.5983762145042419, -1.6810716390609741, 0.0006188561674207449, -0.31358811259269714, 0.6509696245193481, 2.2754127979278564, -0.06164729967713356, 1.1004656553268433, -2.1506714820861816, -0.8850247859954834, -0.4558863937854767, -0.2847887873649597, -1.1387678384780884, 0.5038722157478333, -0.047438934445381165, 1.4968596696853638, 1.6788523197174072, -0.5764464735984802, -0.38219594955444336, -0.20619499683380127, 0.25605303049087524, 0.6833116412162781, -0.5712035298347473, -0.0667920857667923, -0.39089104533195496, -1.2146563529968262, -0.18334905803203583, 0.08582958579063416, -0.714727520942688, -1.249976634979248, -1.7612086534500122, 0.15829426050186157, 0.45964694023132324, 0.8690940737724304, -0.769271194934845, 0.19136224687099457, 0.002142237266525626, -0.40555402636528015, -0.4517333209514618, 0.11212746053934097, -0.15287664532661438, -0.2929224669933319, -0.02308710664510727, 1.005516767501831, -0.3684192895889282, 0.6989572048187256, -1.142112374305725, 0.16715475916862488, -0.7433042526245117, 0.8785908222198486, 0.06566432863473892, -0.006976661272346973, 0.7399891018867493, 0.16613827645778656, 0.22634752094745636, -0.8579229116439819, -0.9183213710784912, -0.842109739780426, 0.05409944802522659, 0.3464978039264679, -1.4678252935409546, -0.7576519846916199, -0.1788315325975418, 0.013830427080392838, 0.06902483850717545, 0.0047297244891524315, -0.46074798703193665, 0.1313031017780304, -0.7738111019134521, 0.7785177826881409, -1.4726314544677734, -0.5739415287971497, -0.18680286407470703, -0.358736127614975, -0.2220235913991928, -0.9497811794281006, 0.8407176733016968, 0.4293872117996216, 0.3067706227302551, 1.3273171186447144, -0.8902888298034668, -0.23744690418243408, 0.3749516010284424, 1.1505199670791626, 0.5939381122589111, -0.5426961779594421, -0.9813076257705688, 0.27570879459381104, 0.34224289655685425, 0.7606081962585449, -0.455936998128891, 0.30659523606300354, -0.71797776222229, 0.10986629873514175, -0.40964454412460327, -1.1078540086746216, -0.38976356387138367, 0.6536684036254883, -0.44462475180625916, -0.9719170928001404, -1.0958245992660522, -0.052246879786252975, 0.2334638237953186, 0.14456820487976074, 0.06117122247815132, 0.7365251183509827, 0.31255587935447693, 0.3797210454940796, 0.5171855092048645, 0.6297786831855774, 0.27957093715667725, 1.0138249397277832, 0.7897596955299377, -1.0093594789505005, -0.5253332257270813, -0.6514906287193298, 0.5020161867141724, 0.44315871596336365, 0.8023131489753723, 0.08777698874473572, 0.23594200611114502, -0.43429216742515564, 0.5954902172088623, 0.22255076467990875, -1.2576812505722046, -0.14179250597953796, -0.605370044708252, -0.5430536270141602, -0.6667078137397766, 0.32391855120658875, 0.5341436266899109, 0.38933292031288147, -0.4657762944698334, 0.47929006814956665, 0.25133493542671204, 0.5434664487838745, -0.5698394775390625, -0.4149014353752136, 0.08038444817066193, -0.2994057238101959, 0.33079642057418823, 0.48516976833343506, -0.15379096567630768, 0.23029090464115143, 0.45503637194633484, 0.19237323105335236, -0.41747909784317017, -0.06743543595075607, -1.03449547290802, -0.3633289337158203, 0.3859303891658783, -1.5172643661499023, -0.563580334186554, -0.9230438470840454, -0.8968919515609741, -1.211957335472107, -1.2235767841339111, 1.2893308401107788, -0.7696585059165955, 1.0518091917037964, 0.014724262058734894, -0.3112889528274536, -1.3921765089035034, 0.6622951626777649, 0.49182939529418945, 0.6542418599128723, -0.0895916149020195, 2.265166997909546, 0.2907484769821167, 0.5150930881500244, -0.9675637483596802, -0.9125962257385254, 0.02871280163526535, 0.2489476501941681, 0.02897379919886589, 0.1515854150056839, -2.1767373085021973, -1.0936716794967651, 0.5873298048973083, -0.2351018637418747, 0.49298998713493347, 0.7681074738502502, -0.8768583536148071, -1.0151617527008057, 0.630260169506073, 0.5388161540031433, -0.5057865381240845, -0.6843113303184509, -0.04013017565011978, -0.6812747716903687, -0.5300173163414001, 0.12321484833955765, 0.28865063190460205, -0.17557641863822937, -0.5968915224075317, -0.2832096517086029, 0.6326214075088501, 0.08014275133609772, -0.6257771253585815, -1.1588165760040283, -0.8574126362800598, -0.05223921313881874, 0.6655465960502625, 0.9141181707382202, 0.2637464702129364, 0.4442899823188782, 1.0108461380004883, -0.05952842906117439, -0.2230764478445053, -0.3395123779773712, -0.2058907449245453, -0.4749654233455658, -0.34655994176864624, 0.4355335831642151, 0.9810196757316589, 0.507594108581543, -0.01470083650201559, 0.004444008693099022, -1.104927897453308, -0.5001924633979797, -0.48164135217666626, 1.463752269744873, 0.010306909680366516, -0.2537505626678467, 1.2033295631408691, -0.9574568867683411, -0.9069030284881592, -1.180030345916748, 0.08640724420547485, 0.9908421039581299, 0.5596528053283691, -0.2407616823911667, 0.01777596026659012, -0.9723042845726013, -0.4263607859611511, 0.615544319152832, 1.1217862367630005, 0.6647640466690063, -0.6793909668922424, 0.5784053206443787, 0.5638119578361511, 0.4641495943069458, -0.567344069480896, -0.1049637421965599, 0.25395825505256653, -0.6779416799545288, -0.01854654960334301, -0.34641334414482117, -0.30404576659202576, -1.0864163637161255, -0.9595306515693665, -1.5718470811843872, -0.4195480942726135, -1.4892995357513428, -0.06300092488527298, 0.9455662965774536, 0.06691252440214157, -0.5185202360153198, -0.7313799262046814, 0.8385594487190247, 0.20908987522125244, 0.21677616238594055, -0.29380419850349426, 0.8464919924736023, 0.26384153962135315, -0.9720690846443176, 1.389493703842163, -1.1126796007156372, 0.5698735117912292, -0.07525046914815903, 1.5044729709625244, -0.3634346127510071, 0.7329005599021912, -0.7091683745384216, -0.5835013389587402, 0.7817001342773438, 0.02696194127202034, -0.2814583480358124, -0.5021229386329651, 2.225292921066284, -0.046812646090984344, 0.45368704199790955, 1.6484708786010742, 0.42046380043029785, -0.5338748693466187, 0.05995197594165802, 0.586132287979126, 0.25696277618408203, -0.7292359471321106, 1.0347446203231812, 0.32651811838150024, -0.7927867770195007, 0.4281870722770691, -1.1258318424224854, 1.2314971685409546, -0.3124186098575592, -0.11895552277565002, 1.5075032711029053, -0.5464274883270264, -0.6750271320343018, 0.43048036098480225, -0.37648478150367737, 0.9940415620803833, -0.18069203197956085, 0.014190971851348877, -0.5221725106239319, 2.599914073944092, 0.6582428216934204, -0.5230101346969604, 0.3035966157913208, -0.3325202763080597, -0.4802968502044678, 0.025459224358201027, -0.08467580378055573, -0.6915714740753174, 0.26434633135795593, -0.19402842223644257, -0.5324537754058838, -0.2111055999994278, -0.14435578882694244, 0.2552589178085327, 0.5844783782958984, -1.2564376592636108, 0.7557623386383057, 0.6138762831687927, 0.617124080657959, 0.6991471648216248, -0.10533209145069122, -0.5935556292533875, -1.0998451709747314, 0.227544903755188, -0.23585145175457, -0.5921454429626465, 0.3971653878688812, -0.5076092481613159, -0.15626952052116394, -0.41658487915992737, 0.483813613653183, -0.9113633036613464, 0.0858287513256073, 2.1208295822143555, -0.09049708396196365, 0.2014756202697754, -0.4847545325756073, 0.3945441246032715, 0.041711509227752686, -1.6688873767852783, -0.03751065209507942, 0.6878706216812134, 0.8881534934043884, 0.16594213247299194, -0.32858073711395264, 0.18324169516563416, 0.49746572971343994, -1.1330431699752808, 1.1905673742294312, -0.7540504932403564, -0.2955649197101593, -1.4526187181472778, 1.0770418643951416, -0.10983367264270782, -0.11388752609491348, 0.03186589851975441, 1.259945273399353, 1.3984047174453735, -1.3369381427764893, 0.43410077691078186, -0.08988825976848602, 0.7763979434967041, -1.1499905586242676, 0.7955946922302246, -0.8523597717285156, 0.11492292582988739, 1.7147126197814941, 0.4570716619491577, -0.3440000116825104, 0.315824031829834, 0.6826414465904236, 1.0290225744247437, 0.20234093070030212, -0.5466085076332092, 0.4163638949394226, -0.29655933380126953, 0.41307708621025085, -0.6707465648651123, 0.9679341912269592, -0.39482581615448, -1.4625041484832764, -0.5342295169830322, 0.2661474049091339, -0.6553059816360474, -0.9890551567077637, 0.08402019739151001, 0.6921064853668213, -0.16953328251838684, 1.3734298944473267, 0.9220008850097656, -0.12214253842830658, 0.46421876549720764, -0.8460397124290466, -2.3479321002960205, 0.5378167629241943, -1.4291455745697021, 0.2809683382511139, 0.5030811429023743, 0.2160354107618332, 0.06653148680925369, -0.20125649869441986, -0.14260508120059967, 0.36504918336868286, 0.3688591420650482, -1.223118543624878, -0.04086392745375633, 0.5433139204978943, 0.09372330456972122, 0.6092626452445984, -0.5709952712059021, -0.4904823899269104, -0.3193473517894745, 0.7900041341781616, 0.10735072940587997, -0.6257343888282776, -0.743604838848114, -0.25551638007164, 0.6020914316177368, 0.09293100982904434, -1.103002667427063, -0.6079919338226318, -0.23959212005138397, -0.7384226322174072, 0.07902444154024124, -0.1839599311351776, 0.7692641019821167, 0.6955685615539551, -0.6376667618751526, -0.5643184185028076, 0.2525341212749481, 0.8155075311660767, 0.21753689646720886, -6.84766149520874, 0.5198189616203308, -0.5374822616577148, 0.1323700100183487, 0.3528980314731598, -0.3251364529132843, 0.10846376419067383, -0.5464057326316833, 0.007195658516138792, -1.9113229513168335, 0.030024396255612373, -0.1417379528284073, -0.5665204524993896, -1.0447784662246704, 0.18071642518043518, -0.8402826189994812, 0.12981440126895905, -0.22627855837345123, -1.8715153932571411, 0.7019641399383545, 0.21880872547626495, 1.4653842449188232, -0.9161405563354492, -0.11284145712852478, 0.4223903715610504, 0.34806469082832336, 0.10468429327011108, 0.10000989586114883, -0.6735616326332092, 0.6632420420646667, 0.3044852018356323, 2.6050658226013184, 0.052702367305755615, -0.2668822705745697, 0.1348004788160324, -0.8864277601242065, 0.04756741598248482, 1.3089377880096436, 0.03217001631855965, -1.2621287107467651, 1.392696738243103, -1.4397836923599243, -1.0378400087356567, -0.6245575547218323, -0.6191347241401672, -0.2610654830932617, 0.28003156185150146, -1.5868520736694336, -0.3072737157344818, 1.0836091041564941, 0.17346522212028503, -1.308071255683899, -0.5987863540649414, 0.6320242285728455, 0.7016793489456177, -0.20152704417705536, -0.3602076470851898, -0.6897021532058716, -0.04380245879292488, 0.26382407546043396, -0.05712144821882248, 0.3575896918773651, 0.15248622000217438, -0.940618097782135, -0.79029381275177, -0.10794451832771301, -1.33910071849823, 0.63189297914505, 0.19494737684726715, 0.1327797770500183, 0.24874457716941833, -1.6016432046890259, 0.38688036799430847, -0.26364943385124207, -0.47106435894966125, 0.186712384223938, 0.00748662231490016, -0.4915666878223419, 0.7663754224777222, 0.7989315390586853, 0.2574286460876465, 1.4405930042266846, -0.24627423286437988, 0.3970000445842743, -0.3185235261917114, -2.403860330581665, -0.11550498753786087, 0.17710623145103455, 0.3199092745780945, -0.46880626678466797, -0.03633575513958931, 0.6685603260993958, -0.07476655393838882, -0.007968486286699772, 0.6061931848526001, -0.19718173146247864, -1.0750352144241333, -1.024298906326294, -0.9134419560432434, -0.0656648501753807, -0.17615532875061035, 0.00810537301003933, 0.20835770666599274, 0.002314209472388029, 0.028792399913072586, -0.12555484473705292, -0.049673136323690414, 0.5096496343612671, 0.11723022162914276, -0.19952911138534546, 0.02301345206797123, 1.3800238370895386, -1.7292101383209229, 0.4202031195163727, 0.11910952627658844, -0.1836925894021988, -0.031113512814044952, 0.9664830565452576, -0.3571808934211731, -0.18491406738758087, -2.0441110134124756, 0.34931838512420654, 0.44865983724594116, -0.6984890699386597, 0.4762508273124695, -0.7111515402793884, 0.06117904558777809, -1.48934006690979, -0.590200662612915, 0.9282069206237793, -0.744322657585144, -0.3773893117904663, 0.43705853819847107, 0.7855430841445923, -0.2729521095752716, 1.2307541370391846, -0.5010436177253723, 0.33885881304740906, 0.1494135558605194, 0.9203627109527588, 0.6056569814682007, 1.1477571725845337, 0.3526465892791748, -0.7631052732467651, 0.484348326921463, -1.1436399221420288, 0.2453020066022873, 0.06239800527691841, 0.10659264028072357, 0.6439156532287598, -0.7009568810462952, 0.5894302725791931, 0.4325277507305145, 1.6254687309265137, -0.8298348784446716, -0.5853186845779419, -0.1489216387271881, 0.6762462854385376, -0.4880974590778351, -0.4370220899581909, -0.4838666319847107, 0.3407033383846283, -1.2229037284851074, 1.3240673542022705, -0.44768089056015015, -0.29381081461906433, -0.8894600868225098, -0.6429417729377747, -0.3750772476196289, -0.7071546912193298, -0.2890211045742035, -0.4569247364997864, -0.7913506627082825, -0.3543826937675476, 0.20524461567401886, 0.38706833124160767, -0.14790025353431702, -0.34676074981689453, -0.6281477808952332, -0.5789417624473572, -0.8884003162384033, -0.5724840760231018, 0.64232337474823, -0.41202154755592346, 0.16359248757362366, 0.27731189131736755, -0.6770913004875183, -0.16545699536800385, -0.29986056685447693, 0.5989322066307068, -1.1094714403152466, 0.6153526902198792, -2.1317100524902344, -0.3803940713405609, -0.5485643744468689, -0.5603723526000977, -0.003357199253514409, 0.6689257621765137, -0.8573533296585083, 0.12677216529846191, 0.24248361587524414, 0.86597740650177, 1.201101303100586, 0.01964086852967739, -0.35580888390541077, -0.49832767248153687, -0.639462947845459, 0.0019435141002759337, -0.36346539855003357, -0.23765075206756592, 0.3459792733192444, 0.02578754723072052 ]
142
0704.0144
Dmitry I. Podolsky
D. Podolsky, K. Enqvist
Eternal inflation and localization on the landscape
4 pages; more references added; discussion enlarged
JCAP 0902:007,2009
10.1088/1475-7516/2009/02/007
HIP-2007-15/TH
hep-th astro-ph gr-qc
null
We model the essential features of eternal inflation on the landscape of a dense discretuum of vacua by the potential $V(\phi)=V_{0}+\delta V(\phi)$, where $|\delta V(\phi)|\ll V_{0}$ is random. We find that the diffusion of the distribution function $\rho(\phi,t)$ of the inflaton expectation value in different Hubble patches may be suppressed due to the effect analogous to the Anderson localization in disordered quantum systems. At $t \to \infty$ only the localized part of the distribution function $\rho (\phi, t)$ survives which leads to dynamical selection principle on the landscape. The probability to measure any but a small value of the cosmological constant in a given Hubble patch on the landscape is exponentially suppressed at $t\to \infty$.
[ { "created": "Mon, 2 Apr 2007 08:51:48 GMT", "version": "v1" }, { "created": "Tue, 24 Apr 2007 10:15:31 GMT", "version": "v2" }, { "created": "Tue, 18 Sep 2007 10:16:45 GMT", "version": "v3" } ]
2009-02-09
[ [ "Podolsky", "D.", "" ], [ "Enqvist", "K.", "" ] ]
07
[ -0.48691391944885254, 0.10654091089963913, -1.1576824188232422, -0.1301955282688141, 0.3171415328979492, -0.6744132041931152, 0.8839260339736938, 0.8319280743598938, 2.0700302124023438, -0.9983834028244019, -0.25354835391044617, 0.17196248471736908, 0.37038493156433105, 0.34710603952407837, -0.9805620312690735, -0.2736225724220276, -0.01891593635082245, 0.7290311455726624, -0.30034464597702026, -0.17835640907287598, -0.24173618853092194, -0.8309487104415894, 0.1514795869588852, -1.0291675329208374, 0.7229865789413452, 0.01085682213306427, -0.35802870988845825, 0.5539219379425049, -0.7078945636749268, -0.7576671838760376, -1.2135729789733887, 0.10750658065080643, 1.2133938074111938, 0.45347490906715393, 0.6129849553108215, 0.2686443626880646, 0.8585361838340759, -0.3408372104167938, -1.1342277526855469, 0.9022657871246338, -0.49727994203567505, 1.9547079801559448, 0.15769034624099731, 0.6753792762756348, 0.3411269187927246, -0.2876865863800049, 0.807442307472229, 0.10584792494773865, -0.05111667141318321, 0.732757031917572, -0.11758346855640411, 0.5814840197563171, -0.062713123857975, -0.8060857057571411, -0.18541213870048523, 0.04617401584982872, -0.6766886711120605, -0.783048689365387, -0.23869764804840088, -0.3067636489868164, -0.15430377423763275, 0.8080844879150391, 0.24788041412830353, -0.39578351378440857, -0.5298379063606262, -0.31551995873451233, 0.636415958404541, -0.8302936553955078, 1.2730125188827515, 0.4096029996871948, 0.03289831802248955, -0.664189875125885, 0.3313406705856323, -1.5066094398498535, 0.19794370234012604, 0.19815242290496826, -0.599032461643219, -0.012928200885653496, 0.7805711030960083, -1.4667890071868896, 1.1727486848831177, -0.5962136387825012, -0.4634716510772705, 0.0434073843061924, -1.073525309562683, 0.6183738708496094, -0.42524659633636475, 0.507888913154602, -0.42446601390838623, 1.3140298128128052, -0.7339193224906921, -1.0782995223999023, 0.5887916684150696, 0.3607836067676544, 0.6279030442237854, -0.15368953347206116, 0.7743140459060669, 0.09394782036542892, 0.30478760600090027, 0.9558308720588684, -0.22911709547042847, -0.9010819792747498, 0.8444135785102844, -0.3794179856777191, 0.7448354959487915, 0.5836142897605896, -0.2104588747024536, -0.6149687170982361, 2.18426513671875, -0.11709935963153839, -0.4897017478942871, -0.16492095589637756, 0.3689427971839905, 0.6198422312736511, -0.9964222311973572, -0.7431975603103638, 0.39317017793655396, -0.13516218960285187, 0.5346382260322571, -1.7216094732284546, 1.4920661449432373, -0.25743043422698975, 0.2999902665615082, -0.34275883436203003, 0.3975790739059448, 0.06846272945404053, -0.10402718931436539, -0.33240440487861633, -1.042374849319458, -1.4461132287979126, 0.4395538568496704, 0.23256835341453552, -0.7166855335235596, -0.31749260425567627, -1.1639025211334229, 1.568707823753357, 0.7928873896598816, -0.12030301988124847, -0.31070396304130554, -0.4997994005680084, 0.40648889541625977, -0.0040265233255922794, 0.7691648006439209, -1.500461459159851, 0.7819352149963379, 0.1952039897441864, -0.07591444253921509, -0.812956690788269, -0.5440407991409302, -0.925722599029541, -0.6585473418235779, -1.6324647665023804, 0.28157752752304077, -0.2554018795490265, -0.2799208164215088, -0.5793889164924622, 1.483292818069458, -1.3154047727584839, 0.3784833550453186, -0.9515666365623474, 0.4993124008178711, -1.4340360164642334, 0.8389077186584473, -0.5165275931358337, 0.4402962028980255, -0.49056774377822876, -0.3787359595298767, 0.2473699152469635, -1.0791317224502563, -1.3321783542633057, -0.2040485441684723, -0.1384129375219345, -1.7365639209747314, -0.8336350917816162, -0.15847405791282654, -0.18565015494823456, 0.699655294418335, -0.6288756728172302, 0.22213929891586304, -1.0001623630523682, 0.285075843334198, -0.5531709790229797, 0.5183840990066528, -0.5619383454322815, 0.5419175028800964, -1.0017340183258057, -0.723312497138977, -1.1883049011230469, 0.43163734674453735, 0.3223091661930084, 1.349614143371582, -0.4762463867664337, -1.4063042402267456, -1.9078449010849, -0.1559223085641861, 1.205869197845459, 0.2925388813018799, 1.0775829553604126, -0.06953597813844681, 1.6454777717590332, -0.034592825919389725, 0.33033299446105957, -1.2768369913101196, 0.1714850664138794, -1.2994847297668457, 0.20798903703689575, 0.10327698290348053, -0.11637648195028305, -1.5294713973999023, -0.2350296527147293, -0.8438014388084412, 0.5755870342254639, -0.0037984359078109264, -0.8728893399238586, 0.06672671437263489, 0.3397010266780853, 1.2285611629486084, -1.4696229696273804, -0.014125706627964973, 0.7614349126815796, 0.5737808346748352, 0.8456167578697205, 1.1473379135131836, -0.3041665554046631, -1.0143406391143799, 0.645504891872406, -0.3088817298412323, 0.32646554708480835, 0.04023952782154083, -0.1599215567111969, 0.2797515094280243, -1.1237068176269531, 0.4821724593639374, -0.5139164328575134, -0.5639035701751709, -0.2330644279718399, 1.1508197784423828, 0.09678486734628677, -0.22834692895412445, -0.20868892967700958, 0.7920351624488831, -1.5247807502746582, -0.3815028667449951, -0.5658925771713257, -0.14871777594089508, 0.46635016798973083, -0.35189974308013916, 0.23233765363693237, 0.20381224155426025, -0.7823006510734558, -0.5333510637283325, -1.1236127614974976, 0.938408613204956, -1.2717435359954834, 0.06821344792842865, -0.08146679401397705, 0.21850354969501495, 0.6306413412094116, 0.6859983205795288, 1.2993770837783813, 0.7694345712661743, -0.21866652369499207, 1.8788496255874634, -0.09972726553678513, 0.1866767257452011, -0.23432978987693787, -0.11219707876443863, 0.17941345274448395, 0.5033151507377625, 0.19196544587612152, -1.6005703210830688, -0.19740255177021027, -0.16406063735485077, 0.8918834924697876, -0.39150163531303406, -1.323810338973999, -0.4411512315273285, 0.48537009954452515, 0.65566086769104, -0.01979098655283451, 0.11055151373147964, 0.18178223073482513, -0.38457190990448, 0.5254126787185669, 0.15070603787899017, -0.1910679191350937, -0.035697612911462784, -0.2841747999191284, -0.1395668387413025, -0.19748131930828094, -0.9653498530387878, -1.0998395681381226, 0.15496057271957397, 1.0859447717666626, 0.07827073335647583, -1.1583901643753052, 0.7134583592414856, 0.6014872193336487, 0.5188542008399963, 0.2067955583333969, -0.18247732520103455, -0.4916795492172241, -0.34826499223709106, 0.26381734013557434, 0.7755520939826965, -0.2452632039785385, -0.22695304453372955, 0.4053575098514557, 0.3618597090244293, 0.2629660665988922, 0.7506656050682068, 1.7020055055618286, -0.6500115394592285, 0.9035772085189819, 1.4005310535430908, -0.30090075731277466, -1.4782108068466187, 0.10521014034748077, -0.24018298089504242, -0.7028613090515137, 0.6017484068870544, 0.7237968444824219, 0.8506302237510681, 0.34292715787887573, -0.8211070895195007, -1.002206563949585, -0.022391626611351967, -0.6964073777198792, 1.1960862874984741, 0.5091931223869324, 0.8981077075004578, -0.3009069263935089, -0.13041429221630096, 0.17196592688560486, 0.7404683232307434, -0.21345990896224976, -0.20700959861278534, -0.6966464519500732, 1.4420350790023804, 0.06251218914985657, 1.6296237707138062, -0.3052564263343811, 0.6411710381507874, -0.2536684572696686, 0.5509107112884521, -0.3153245747089386, 0.49089327454566956, 0.012764048762619495, -1.4130852222442627, 0.0429493710398674, -1.0358824729919434, 0.5782738924026489, 1.3764740228652954, 0.388692706823349, -0.45525363087654114, -0.9930204749107361, 0.6157246828079224, 0.023526525124907494, 0.8280807137489319, -0.05271231010556221, -0.6196120977401733, 0.5096100568771362, 0.48781996965408325, -0.2831726670265198, 0.6485689282417297, -0.030037492513656616, -0.18905530869960785, -0.6219031810760498, -0.17817428708076477, 0.0913313552737236, -1.1266405582427979, 0.7050848007202148, -0.29878056049346924, -0.9979714155197144, -0.4121600091457367, 0.43157336115837097, 2.2586617469787598, -0.13645750284194946, 0.5382750630378723, -0.29238006472587585, -0.9552778601646423, 1.420469045639038, -1.447623372077942, -0.3128190338611603, 0.36013489961624146, 0.5048581957817078, -0.09695956856012344, 0.5243119597434998, -0.11535917967557907, 0.5011605620384216, -1.0891131162643433, 0.1411723494529724, 0.14672888815402985, 0.07983583211898804, 0.07140693813562393, -0.3782060444355011, 0.5722018480300903, 0.245514914393425, 1.111772894859314, -0.2587469816207886, 0.29158690571784973, 0.053550444543361664, -0.9016945362091064, 0.2125319540500641, -0.24305951595306396, -0.47654932737350464, -0.4764613211154938, 0.11241220682859421, -1.3880411386489868, -0.7541067600250244, 0.6412285566329956, -0.8034254908561707, 0.9301199316978455, -0.4682200253009796, 0.5926064848899841, -0.581555187702179, -0.7832871079444885, -0.8086023330688477, -0.1129695400595665, 0.8093583583831787, -0.1758367270231247, -0.12560886144638062, 0.18177461624145508, 1.4778904914855957, 1.2895265817642212, 0.18230482935905457, 0.4670202434062958, 0.5912830233573914, -1.2744702100753784, -0.3118428885936737, 0.2282096892595291, 0.03168918564915657, 0.013897371478378773, -0.07885448634624481, -0.2767481505870819, -1.7829140424728394, -0.7300670146942139, 0.6149756908416748, 0.019176650792360306, 0.38916197419166565, 1.918717622756958, 0.49672216176986694, -0.051484666764736176, 0.5595637559890747, 0.5359257459640503, -1.399250864982605, -0.2295270711183548, 1.3730237483978271, 0.1883625090122223, -1.2669110298156738, 0.05409142002463341, -0.2661098837852478, -0.6480087637901306, 1.144126296043396, 0.09854476898908615, -0.10980340093374252, -0.3170068562030792, -0.3468050956726074, -0.590846598148346, -0.49513694643974304, 0.44832897186279297, -0.965244710445404, 0.16747643053531647, -1.119400143623352, -1.6503556966781616, -0.5702137351036072, 0.016405848786234856, -0.2220204919576645, -0.8870980739593506, 1.5780348777770996, -0.342887818813324, 0.30678078532218933, -0.5332686901092529, -0.7490507960319519, 1.3124632835388184, -1.381553053855896, 1.2322026491165161, -0.617796778678894, -0.065778449177742, -0.042238105088472366, 0.16284315288066864, 0.5427746176719666, 0.2833583652973175, -1.3282581567764282, -0.9707484841346741, -0.7531000971794128, -0.482126384973526, -0.05430014431476593, 0.4672218859195709, -0.006349470000714064, -0.3735479712486267, -1.2016587257385254, 0.06603787839412689, 0.199018195271492, 0.430463582277298, 0.014264579862356186, 0.5481243133544922, 0.10413544625043869, 0.7765651345252991, -0.8201529383659363, -0.18886053562164307, -0.12883880734443665, 0.4026755392551422, -1.1119412183761597, -0.37903010845184326, 0.1403914988040924, 0.30194392800331116, 1.3894436359405518, 0.3414689004421234, 1.4343876838684082, -0.18310695886611938, 0.13269482553005219, 1.5575873851776123, 0.9956794381141663, 0.9058986902236938, 0.11585470288991928, -1.5031546354293823, -3.0837550163269043, 0.35767146944999695, -0.7608391046524048, -1.4893958568572998, -0.7745248079299927, 0.04311533272266388, 0.35689258575439453, 0.4163972735404968, 0.0729229673743248, 0.1569940596818924, -0.1452990025281906, -0.12084543704986572, 0.8881128430366516, 0.26049014925956726, 0.9930801391601562, -1.2239370346069336, 0.15464535355567932, -0.5422650575637817, -1.3992507457733154, -0.12023767083883286, -0.28197431564331055, -0.7552214860916138, 0.007777333725243807, 0.09934008121490479, -0.28566285967826843, -0.2448757439851761, -0.4578709900379181, 1.6034517288208008, -0.8916621804237366, 0.04905163124203682, -0.33033719658851624, 0.12229214608669281, -0.05600934475660324, 0.010215764865279198, -0.6844648122787476, 0.26735034584999084, 0.06603056192398071, 1.4102458953857422, -0.812491238117218, -7.2559614181518555, 0.35050445795059204, -1.4243539571762085, -0.9933853149414062, 0.333656370639801, -1.5899038314819336, -1.119040846824646, -0.2512398362159729, 0.14951273798942566, 0.710967481136322, 0.7354143261909485, 0.04456710442900658, -0.07690809667110443, -0.3073457181453705, -0.4055945575237274, -0.226042702794075, 0.6146112680435181, -0.3340328633785248, -1.2821707725524902, 0.2261907458305359, -0.3727448880672455, 1.6491892337799072, -0.034610018134117126, -0.5172369480133057, 1.9480801820755005, -0.6779823899269104, 0.33514371514320374, 0.6338445544242859, 0.5828037858009338, -0.5130816698074341, 0.4713691473007202, -0.3365875780582428, -0.10232268273830414, 0.031839434057474136, 0.8402965068817139, 0.8344235420227051, -0.8707948327064514, -0.5118837356567383, 0.6152927875518799, 0.07584583014249802, 0.7429537177085876, -0.7198284268379211, -0.14328528940677643, 0.42684516310691833, 0.21322673559188843, 0.9475312829017639, -0.31355807185173035, -0.195416659116745, 0.419775128364563, -0.0756780281662941, -0.5446385145187378, -0.5781890153884888, 0.5815873742103577, 0.45330893993377686, -1.2758424282073975, -0.16408756375312805, -0.44982481002807617, -0.7685344219207764, 0.793945848941803, -0.1522490680217743, 0.3840731382369995, -1.2388173341751099, 0.12144391983747482, 0.1157066747546196, 1.1534509658813477, -0.5119540691375732, -0.2092984914779663, 0.4756358861923218, 0.09690847992897034, 0.04117049649357796, -0.8855909109115601, -0.35366907715797424, -0.22027532756328583, 0.17668293416500092, -1.1910881996154785, -0.25089263916015625, 0.4080318510532379, 0.5510953068733215, 0.6756412982940674, 0.5331830382347107, 0.14244410395622253, 0.2553841471672058, 0.6942212581634521, 0.3561273515224457, 0.0476638600230217, -0.19220076501369476, 0.46893566846847534, 0.026148799806833267, -0.9069368243217468, -1.1202459335327148, 0.3925957679748535, -0.2232097089290619, -0.5993552803993225, -0.48183345794677734, 0.2001015841960907, -0.9135954976081848, -0.255252480506897, -0.5139358639717102, 0.002351358998566866, -1.1852619647979736, 0.8266501426696777, -0.482767790555954, 0.27865880727767944, -0.43148523569107056, 1.2763936519622803, -0.3515772521495819, 0.029338130727410316, 0.4634767472743988, 0.48772093653678894, 0.6044191122055054, 0.20746181905269623, 0.21074442565441132, -0.7843589782714844, 0.6106099486351013, -1.02688729763031, -0.40599027276039124, 0.45663216710090637, 0.8458030819892883, -2.1753242015838623, -0.8381368517875671, -0.10573524981737137, -0.934378445148468, 0.38448968529701233, -1.1143594980239868, -1.020400881767273, -1.2091048955917358, 0.09516794979572296, -0.9026166796684265, 0.19300220906734467, 1.2103112936019897, -0.7861629724502563, -0.29913362860679626, 0.7183896899223328, -0.4350367486476898, 1.0751471519470215, -0.4170500636100769, -0.21004410088062286, 0.0772581622004509, -0.7453307509422302, -0.5315290689468384, -0.13397946953773499, 0.5266575217247009, 0.3993406891822815, 0.3012404441833496, 0.28069841861724854, -0.5338299870491028, -0.845568060874939, 0.4513693153858185, -0.41682955622673035, -1.856407880783081, 0.17649288475513458, 0.14428457617759705, 0.6716741323471069, -0.7430683374404907, -0.31421950459480286, -0.36860883235931396, 1.4459091424942017, 0.3893886208534241, -0.3116050660610199, -1.0660250186920166, 0.3546024262905121, -0.5279479622840881, 0.06460590660572052, 1.2313698530197144, -0.736996054649353, -0.30202990770339966, -0.2145119160413742, 1.0233228206634521, -0.2011076658964157, -0.3693583011627197, 0.263047456741333, -0.06485514342784882, -0.6071394085884094, -0.1982041299343109, 0.6946727633476257, -0.3844592571258545, 0.5080780386924744, 0.25631025433540344, -0.29046446084976196, 0.44990620017051697, 0.040026936680078506, 0.7699190378189087, -0.6405599117279053, 0.8917127847671509, -1.0016292333602905, 0.6037152409553528, -0.8691250681877136, 1.074372410774231, -2.6966679096221924, 0.8928162455558777, 0.06680156290531158, 0.49716615676879883, -0.3432792127132416, 0.8987650871276855, 0.9878201484680176, -0.2939664423465729, -0.4668091833591461, -0.1615309715270996, 0.7619227766990662, 0.3574952781200409, 0.3359420597553253, 0.22568833827972412, 0.21832148730754852, -0.16110341250896454, 0.2657392621040344, -0.511073887348175, -0.2940935492515564, 0.15169894695281982, -0.5265532732009888, -0.8894947171211243, 0.07368368655443192, -0.08417518436908722 ]
143
0704.0145
Ghanashyam Date
Ghanashyam Date
Singularity Resolution in Isotropic Loop Quantum Cosmology: Recent Developments
24 pages, no figures.
null
null
IMSc/2007/03/2
gr-qc
null
Since the past Iagrg meeting in December 2004, new developments in loop quantum cosmology have taken place, especially with regards to the resolution of the Big Bang singularity in the isotropic models. The singularity resolution issue has been discussed in terms of physical quantities (expectation values of Dirac observables) and there is also an ``improved'' quantization of the Hamiltonian constraint. These developments are briefly discussed. This is an expanded version of the review talk given at the 24$^{\mathrm{th}}$ IAGRG meeting in February 2007.
[ { "created": "Mon, 2 Apr 2007 08:56:47 GMT", "version": "v1" } ]
2007-05-23
[ [ "Date", "Ghanashyam", "" ] ]
07
[ -0.20779217779636383, 0.2441091239452362, 0.3546721041202545, -0.1911163032054901, 0.5997846126556396, 0.6886065602302551, -0.22699393332004547, 1.5983445644378662, 0.5796999931335449, -1.2164472341537476, -1.188227891921997, -0.07843249291181564, 0.5123286843299866, 0.22399938106536865, 0.2682085633277893, -0.5159959197044373, -0.41948437690734863, -0.9357154369354248, -0.34157323837280273, -0.04320304095745087, 0.06855186074972153, -0.19119030237197876, -0.1914045810699463, -0.8974741697311401, -1.3029690980911255, 0.09964979439973831, -1.251076102256775, 0.022629132494330406, -0.19616912305355072, 0.26369035243988037, -0.755225658416748, 0.14374949038028717, 0.5277227759361267, 0.5102017521858215, 0.5342280268669128, 0.46501001715660095, 0.28732457756996155, -0.36316022276878357, -1.1572357416152954, 1.0175048112869263, -0.36582493782043457, 1.9292265176773071, 0.885768711566925, 0.6114059090614319, -0.3614128530025482, -0.9256846904754639, 0.41018232703208923, 0.5013552308082581, 0.5279536843299866, 0.4648366868495941, -0.47093716263771057, 0.020908668637275696, 0.11674688756465912, -0.14833323657512665, 0.05488566309213638, 1.4516830444335938, -0.5275103449821472, -0.1841195672750473, -0.9941091537475586, -0.1871006339788437, -1.0765889883041382, 1.0667164325714111, 0.5810400247573853, 0.09105421602725983, -0.8971385955810547, 0.5473321676254272, -0.5235570073127747, 0.7193746566772461, 0.7688708901405334, 0.830036997795105, -0.5553765892982483, -0.19674910604953766, -0.5507693290710449, -0.7034077048301697, -0.22619272768497467, -0.792003333568573, 0.21260766685009003, 0.8374613523483276, 0.5356835722923279, 0.30658528208732605, 0.534946084022522, 0.9030194282531738, -0.7041875720024109, 0.9244527816772461, 0.18948417901992798, -0.3748874068260193, 0.8403013944625854, 0.22646436095237732, -0.2242959588766098, -0.4337693154811859, 0.25837770104408264, -1.040673017501831, 0.5823954939842224, -0.36726507544517517, -0.4038417637348175, -0.11720659583806992, -0.20053528249263763, 0.7524952292442322, 0.06950804591178894, 0.42284154891967773, -0.9042925834655762, 0.45086535811424255, 0.5651605725288391, -0.2366703748703003, 0.1221417710185051, 0.4355006515979767, 0.09477774798870087, -1.1308082342147827, 0.01083433348685503, -0.16526257991790771, 0.021883467212319374, 1.0096853971481323, -0.8739964365959167, -0.33993059396743774, -1.2734334468841553, 0.7376448512077332, 0.6873282194137573, 0.22381271421909332, -0.654877781867981, 0.056001972407102585, 0.12976257503032684, 0.5009016394615173, -0.5511688590049744, -0.43550676107406616, 1.2860182523727417, 0.3089224398136139, 0.7891608476638794, -0.14772498607635498, -0.14367376267910004, -0.5602207779884338, 0.3779066205024719, -0.832394540309906, -1.3286378383636475, 0.39746910333633423, 0.42548632621765137, 2.0148234367370605, 0.3519716262817383, -0.4646274447441101, -0.5214433670043945, 0.7054067850112915, 0.7500095963478088, -0.10433435440063477, -0.059685103595256805, -0.14116233587265015, 0.9154702425003052, 0.7669565677642822, -0.021541472524404526, -0.12034592777490616, 1.5558608770370483, -0.2837049663066864, -0.3977554738521576, -0.6445499658584595, 0.5299136638641357, 0.6573315262794495, -0.08973418176174164, -0.4341575801372528, 0.4592267870903015, -0.9277106523513794, 0.15683536231517792, 0.6923579573631287, -0.49352338910102844, -0.18984420597553253, 0.6668466925621033, -0.06524328142404556, -1.6013710498809814, 0.09392622858285904, 0.7002533078193665, 0.42041632533073425, 0.5311717987060547, 0.68708735704422, -0.9738559722900391, 0.3325585126876831, 0.09718957543373108, -0.26911675930023193, -0.03680465370416641, -0.0009262713138014078, 0.9821633100509644, -0.4638703465461731, -0.3450249433517456, 0.28124651312828064, 0.15257519483566284, 1.0784896612167358, 1.2192721366882324, 0.6126856207847595, 0.1020110696554184, -1.1222257614135742, 0.14690157771110535, -1.6601618528366089, -0.22784127295017242, 0.05504230409860611, -0.539017379283905, 0.49085602164268494, -0.6335656642913818, -0.6796484589576721, -0.5533578991889954, 0.5064931511878967, -0.2811426520347595, -1.1743264198303223, -0.2772707939147949, -1.4857934713363647, 0.3772043287754059, 0.6720431447029114, 0.15867219865322113, -0.44655126333236694, -0.8132383227348328, 1.1357508897781372, -0.39731016755104065, 0.5224069356918335, 0.33413413166999817, 0.34802576899528503, 1.1511482000350952, 0.6053103804588318, 0.09646008908748627, 0.2598040699958801, -0.3150627613067627, -0.33653688430786133, 0.6923640370368958, -1.6246088743209839, -0.6930567622184753, 1.551814079284668, 0.6544986367225647, 0.2445109635591507, 1.4373176097869873, 0.0669013112783432, -0.22461621463298798, 0.4225205183029175, 0.6065682768821716, 0.07078463584184647, 0.7515077590942383, -1.8033133745193481, 0.5057166814804077, 0.17208200693130493, -0.09410981833934784, -1.3004704713821411, -1.5948879718780518, 0.606524646282196, -0.37976720929145813, -0.0853453055024147, -0.7614280581474304, -0.07039985805749893, -1.014735460281372, -0.06555403023958206, -0.9163693785667419, -0.35926005244255066, -0.22740669548511505, 0.4606153070926666, 0.42590418457984924, -0.7865720987319946, -0.49243080615997314, 0.22987647354602814, 0.15861117839813232, -0.5077118873596191, 0.2539033591747284, -1.8146331310272217, 0.36496442556381226, -0.01892857998609543, -0.4362717270851135, -0.145464226603508, -1.1194523572921753, 0.9763703942298889, 0.2727660834789276, 0.33323934674263, -0.284883052110672, 0.3329698443412781, 0.34752294421195984, -1.0244934558868408, 1.2330942153930664, -0.06489911675453186, 0.05701013281941414, -0.9613648056983948, -0.786460816860199, 0.5102896094322205, 0.7089934349060059, 0.14670147001743317, 1.0299023389816284, -0.9576409459114075, 0.90553218126297, -0.5480527281761169, 0.5758953094482422, 0.3838403522968292, -0.15510019659996033, 1.7223665714263916, -1.1930123567581177, 1.0294694900512695, 0.200060173869133, -0.52098548412323, -0.12265981733798981, -1.3420144319534302, -0.49627307057380676, 1.142045021057129, 0.2950240969657898, -0.7057143449783325, -0.33681774139404297, 0.7164102792739868, -1.4545944929122925, -0.6498732566833496, 1.246461272239685, -1.820865511894226, 0.921759307384491, -0.7482092380523682, -0.6989556550979614, 0.5542805790901184, -0.4549383521080017, 0.71049964427948, -0.3183501660823822, 0.17533762753009796, -0.18387432396411896, 0.5095399022102356, 0.6909719109535217, -1.3179219961166382, 0.267705500125885, 0.8123430013656616, -0.5627571940422058, 0.6381347179412842, -0.4935179352760315, 0.2545955777168274, -0.5884591937065125, -0.015483195893466473, 0.464213490486145, -0.5565310120582581, -1.0212116241455078, 0.969243586063385, 0.452682226896286, 1.4991624355316162, -0.19632050395011902, -1.2628333568572998, 0.21234555542469025, -0.10749182105064392, 0.7610560655593872, 0.21063584089279175, -0.6860827803611755, -0.40673133730888367, 0.8729743957519531, 0.321031779050827, -0.627373456954956, 0.14513340592384338, 1.0258198976516724, -0.2679818272590637, 0.8098208904266357, 0.762326717376709, -0.6653333306312561, -0.5121834874153137, -0.07100678980350494, 0.8773362040519714, -0.28950974345207214, 0.09943646192550659, 0.06403815746307373, 0.14490945637226105, -0.4052000641822815, -0.012628204189240932, 0.07224536687135696, -0.4209780991077423, 0.9116849303245544, 1.2788370847702026, -0.732547402381897, 0.5841550827026367, 0.7286097407341003, 0.288695365190506, 0.3033560812473297, -0.4846419095993042, -0.18536600470542908, -1.3986904621124268, -0.07249283045530319, 0.2609379291534424, 1.413253664970398, -1.3003990650177002, 0.05499611422419548, 0.27675938606262207, -0.7294235825538635, 0.3552980422973633, -0.9028745293617249, 0.5066124200820923, -0.7870727777481079, -0.2801154851913452, -0.5473335385322571, -0.3716912269592285, 0.6155677437782288, 0.32719218730926514, 1.2170032262802124, -0.7162993550300598, -1.0543625354766846, -0.6917075514793396, 0.627288281917572, -0.9265038371086121, -0.15137234330177307, -0.182891383767128, 0.5471096634864807, 0.16687758266925812, 0.8145543932914734, 0.8291530609130859, -0.05446998029947281, 0.1385517567396164, -0.29333361983299255, -0.8707010746002197, -1.0936335325241089, -0.8379490375518799, -0.7915751934051514, -0.021617449820041656, 0.33297669887542725, 0.32466042041778564, 0.24446330964565277, -0.7166426181793213, -0.6575785875320435, -1.6844841241836548, 0.8347519040107727, -1.34910249710083, 0.2677263915538788, -0.1616407185792923, -0.30124109983444214, 0.11930229514837265, -0.4263143539428711, 0.4013182520866394, 1.2539258003234863, 0.1043713167309761, 0.5847512483596802, -0.595901370048523, -1.0353929996490479, 0.44483891129493713, 0.4069119989871979, -0.3214375674724579, 0.1360471099615097, -1.6515083312988281, 0.39955011010169983, -0.2232629954814911, 0.6794344186782837, 0.28606367111206055, -0.6182101368904114, 0.03326116129755974, -0.5835771560668945, 0.16664008796215057, -0.6963846683502197, -0.30724066495895386, 0.3453834056854248, 0.03007013536989689, -0.44652125239372253, -0.8545038104057312, 0.4284144639968872, 0.5196924805641174, 0.6792237758636475, 0.3382183015346527, 0.06557493656873703, -0.46694475412368774, -0.9931223392486572, -0.4556630849838257, -0.07721683382987976, 0.3814657926559448, -0.6815075278282166, -0.7768703103065491, 0.28033387660980225, 0.1368637979030609, -0.37368035316467285, -1.0596376657485962, 0.6272068619728088, 0.4454675316810608, -0.7973270416259766, 0.1395930051803589, -0.12929995357990265, 1.4218477010726929, 0.6778486967086792, 0.1884070634841919, 0.31932610273361206, 0.017401903867721558, 0.3408520221710205, -1.0927926301956177, -0.41268640756607056, -0.3330276608467102, -0.29816165566444397, -1.0747430324554443, -0.4517957270145416, -0.354644775390625, 1.3023320436477661, -0.7708956003189087, -0.8044947981834412, -0.7828794121742249, -1.954874038696289, 0.34206685423851013, 0.674220085144043, 0.613745391368866, -0.4243665039539337, -0.335196316242218, 0.07637359201908112, 0.5476413369178772, 0.25918856263160706, -0.8247734904289246, -0.4172378182411194, -0.5772283673286438, -0.2207038849592209, 1.105905532836914, -0.28436872363090515, -0.861398458480835, -0.11506380885839462, -0.5551939010620117, -0.3913199305534363, 0.5913782715797424, 0.24028711020946503, 0.33973702788352966, 0.1909741759300232, -0.43428534269332886, 0.30178359150886536, 0.2519555985927582, -0.22902654111385345, 0.016242586076259613, 0.6421782970428467, -1.2535394430160522, -1.6833312511444092, 0.12398354709148407, -0.6369553208351135, 1.110093116760254, 0.17074695229530334, 0.9444172382354736, -0.24558453261852264, 0.36605697870254517, -0.23007707297801971, 0.3148610591888428, 0.7687563896179199, -0.05339980870485306, -0.3490656316280365, -2.524914264678955, 1.665842056274414, -1.4545780420303345, -0.46837034821510315, -0.5015207529067993, -0.12986958026885986, -0.08574311435222626, 0.24599480628967285, -0.1475788652896881, -0.37170884013175964, -0.15134169161319733, -0.33223941922187805, 0.994114875793457, 0.052064795047044754, -0.05716734007000923, 0.5143939852714539, -0.08847334235906601, 0.454780638217926, -0.5347484946250916, 0.8558744192123413, -0.936525285243988, 0.4196319580078125, -1.3384883403778076, 0.2576009929180145, -0.33251693844795227, 0.5693055987358093, -0.3009125888347626, 0.5846635103225708, -0.624625563621521, -0.1506604105234146, -0.9364188313484192, -0.31569725275039673, -0.6030041575431824, 0.8245068788528442, -0.15200667083263397, 0.5124890804290771, 0.3614073097705841, -0.6954980492591858, 0.2037704586982727, -8.35459041595459, -0.30751046538352966, 0.46950989961624146, -0.5543451905250549, 0.07766923308372498, -1.0845632553100586, 0.23552875220775604, -1.4703117609024048, 0.9776475429534912, 0.5309824347496033, 0.7276615500450134, -0.48950499296188354, -1.2926456928253174, -1.2219128608703613, -0.6223686337471008, -0.7663738131523132, -0.42594078183174133, 0.12549065053462982, -0.7430201768875122, 0.4874432384967804, -0.3184923827648163, 0.7985015511512756, 0.27220550179481506, 0.05516549572348595, 0.27111467719078064, -0.3412072956562042, 0.4007299840450287, -0.06313838064670563, -1.4863561391830444, 0.1256469041109085, -0.8899999856948853, 0.9701324701309204, -0.39715996384620667, 1.5376120805740356, -0.45681023597717285, 0.33297619223594666, 0.3405688405036926, 1.3010810613632202, -0.13703760504722595, -0.4066782295703888, -0.23228655755519867, 0.7217456698417664, 0.0032651217188686132, 0.1135004460811615, -0.49702852964401245, 0.6607286334037781, -0.5831499695777893, 0.16577686369419098, -0.1056739017367363, 0.6652912497520447, -0.46533626317977905, 0.33222153782844543, -0.7120612859725952, 0.22800114750862122, 0.6427439451217651, -0.43825843930244446, -0.334573894739151, -0.9890049695968628, -0.16844238340854645, -0.31688860058784485, 1.625808596611023, -1.6901682615280151, 0.10486678034067154, 0.329157292842865, 0.7904468774795532, 0.010651074349880219, -0.5829713344573975, -1.0659937858581543, 0.8897448778152466, 0.9190941452980042, -0.9428087472915649, -0.2194230556488037, -0.6415475010871887, -0.35700610280036926, -0.9141625761985779, -0.3535096347332001, 0.6804506778717041, 1.6383322477340698, -1.149105191230774, 0.6925306916236877, -0.6241951584815979, 1.6355527639389038, 0.24913489818572998, 0.15973174571990967, 0.684607744216919, -0.5989547371864319, 0.277165025472641, -0.23245200514793396, -0.2598685324192047, -1.0929678678512573, 0.47627753019332886, 0.3337143361568451, 0.17856143414974213, -1.0010052919387817, -0.82124924659729, -0.10977885127067566, -0.5276945233345032, 1.3056994676589966, -0.3284457325935364, -0.10472067445516586, 1.1843143701553345, -0.009100455790758133, 0.9826781749725342, 0.5410423278808594, 0.4620310366153717, -0.5131121277809143, -0.5065146684646606, -1.0867252349853516, 0.42485377192497253, -0.8683367967605591, -2.4619929790496826, -0.4819066822528839, 0.1781657338142395, -1.2718422412872314, 0.6576052904129028, 0.31522658467292786, -0.11491437256336212, 0.30903738737106323, 1.126420259475708, -0.9428382515907288, 0.14676497876644135, -0.24062825739383698, 0.16979335248470306, 0.23049061000347137, -0.14664001762866974, -1.0431938171386719, 0.12441746890544891, -0.38762158155441284, 0.7345683574676514, 0.22901612520217896, -0.6460984349250793, -0.42567574977874756, -0.2892185151576996, 1.4480575323104858, 0.11919637024402618, 0.13522982597351074, 0.5562866926193237, 0.005174446385353804, -0.7407128214836121, 0.07538195699453354, 1.3338000774383545, 0.7251228094100952, -0.3848368525505066, -0.9536912441253662, 0.006225782912224531, -0.03331853449344635, -0.9334242343902588, -0.5730375051498413, -0.9722203612327576, -0.5216937065124512, 1.889357089996338, 0.04055679962038994, 1.0018879175186157, 0.7507373094558716, 0.21787743270397186, -0.8278264403343201, -0.08862718194723129, 0.21105794608592987, 0.25028157234191895, -0.09203919023275375, -0.42710480093955994, 0.05739434435963631, 1.1830739974975586, 0.3434753119945526, -1.2523574829101562, -1.315204381942749, 0.33569249510765076, 1.2109477519989014, -0.6314015984535217, -1.2760947942733765, -0.1717500537633896, 0.6651471257209778, -0.4733160138130188, -0.25310057401657104, -0.41552701592445374, -0.13096898794174194, -1.0726603269577026, -0.059753868728876114, 0.011783108115196228, -0.7763351202011108, -1.0956405401229858, 0.6652252674102783, -0.19847609102725983, -0.7556821703910828, -0.8820628523826599, 1.3308619260787964, 0.9542417526245117, -0.34770438075065613, -0.6356559991836548, 0.03323911130428314, -0.5177270770072937, -0.48068466782569885, -0.17724476754665375, 1.4029772281646729, 0.7253954410552979, -0.539303183555603, -0.0889548808336258, -0.10910609364509583, 0.5144755840301514, -0.24404093623161316, 1.0725382566452026, 1.7863318920135498, -0.8241957426071167, -0.007295046001672745, -0.7077365517616272, 0.895619809627533, -1.2799804210662842, 0.20493552088737488, -0.15745864808559418, -0.7759630680084229, -0.9964019656181335, -0.4320835769176483 ]
144
0704.0146
Brian Jackson
N. G. Parker, B. Jackson, A. M. Martin, and C. S. Adams
Vortices in Bose-Einstein Condensates: Theory
17 pages, 2 figures. Book chapter to appear in "Emergent Nonlinear Phenomena in Bose-Einstein condensates: Theory and Experiment" (Springer-Verlag).
null
10.1007/978-3-540-73591-5_9
null
cond-mat.other
null
Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation $\Gamma=\oint {\rm d}{\bf r}\cdot{\bf v}({\bf r})$ about the vortex, where ${\bf v}({\bf r})$ is the fluid velocity field. While classical vortices can take any value of circulation, superfluids are irrotational, and any rotation or angular momentum is constrained to occur through vortices with quantized circulation. Quantized vortices also play a key role in the dissipation of transport in superfluids. In BECs quantized vortices have been observed in several forms, including single vortices, vortex lattices, and vortex pairs and rings. The recent observation of quantized vortices in a fermionic gas was taken as a clear signature of the underlying condensation and superfluidity of fermion pairs. In addition to BECs, quantized vortices also occur in superfluid Helium, nonlinear optics, and type-II superconductors.
[ { "created": "Mon, 2 Apr 2007 09:01:26 GMT", "version": "v1" } ]
2015-05-13
[ [ "Parker", "N. G.", "" ], [ "Jackson", "B.", "" ], [ "Martin", "A. M.", "" ], [ "Adams", "C. S.", "" ] ]
07
[ -0.3495975434780121, -0.042015962302684784, 0.5751806497573853, 1.5395811796188354, -0.3830890655517578, -0.22100728750228882, 0.5503110289573669, 0.23426130414009094, -1.4814828634262085, -0.16285692155361176, -0.6456584930419922, -0.3756573498249054, -0.03650594502687454, 0.5926711559295654, -0.05107685923576355, -1.4244589805603027, 0.626554012298584, -0.6563811302185059, -0.30516618490219116, -0.02122311294078827, -0.3462992310523987, 0.7655863165855408, -0.1071535274386406, -2.1088509559631348, 0.5758799314498901, -0.8272030353546143, 0.6453417539596558, -0.7195425629615784, 0.18342354893684387, 0.505382776260376, -0.33413976430892944, 0.30311793088912964, -0.3081989288330078, 0.08990855515003204, 0.19389647245407104, 0.1677771508693695, 1.282225251197815, -1.5185253620147705, -1.9234576225280762, -0.5527541637420654, -1.6162656545639038, 0.8289867639541626, -1.5705046653747559, 1.1182054281234741, -0.19867616891860962, -0.3437599241733551, -0.26650214195251465, 0.7948362231254578, 0.3865581452846527, -0.7199851870536804, -0.5498788952827454, 1.6520206928253174, 0.5056245923042297, 0.36931928992271423, 0.6475862264633179, -0.048092979937791824, -0.18605294823646545, 0.8991479873657227, 1.0718361139297485, -0.983380138874054, -0.25452721118927, 0.547469437122345, 0.5157580971717834, -0.25045713782310486, 0.16680575907230377, 0.2105402797460556, 0.46493592858314514, -0.9205932021141052, -0.243045374751091, 0.39389151334762573, -0.4299042820930481, 0.22023895382881165, -0.0249099712818861, -0.00981224700808525, 1.372702956199646, 0.19112691283226013, -0.14171376824378967, -1.5025371313095093, 0.7579214572906494, 0.8981766700744629, 0.23400874435901642, 0.35329315066337585, -0.062302712351083755, -1.2450114488601685, -1.3521232604980469, -0.13776296377182007, -0.20403142273426056, 0.35905903577804565, -0.14939968287944794, 1.0028208494186401, 1.0645809173583984, -0.9881842732429504, 0.3293555974960327, -0.5464240312576294, 1.1338248252868652, -0.49302196502685547, -0.21555939316749573, -0.9974877834320068, 0.19923608005046844, 0.49678927659988403, -0.3283820152282715, 0.5816649794578552, 0.11419244855642319, -0.2069086730480194, -1.15446937084198, 1.3058838844299316, -0.030005551874637604, 0.4981038272380829, 0.33523380756378174, -0.09191823750734329, -0.4447905123233795, -1.6067742109298706, 0.041070979088544846, 0.027055468410253525, -0.3500109016895294, 0.19326473772525787, -0.026638608425855637, -0.154028981924057, 1.0375885963439941, 0.023874348029494286, -0.6125175952911377, -0.26894131302833557, 1.2468751668930054, -0.5586273074150085, 0.514380693435669, -0.266028493642807, 0.8741183280944824, -0.2584209740161896, 1.136409878730774, 0.030179187655448914, -0.15785177052021027, -0.41719210147857666, 0.46765294671058655, 0.7040843963623047, 0.6891049742698669, 0.6053446531295776, -0.8654598593711853, 0.07510557770729065, -0.3206181228160858, 0.9097766876220703, -1.383826494216919, -0.31046947836875916, -0.16645702719688416, -1.3241897821426392, 0.14704091846942902, -0.19427207112312317, 0.916043758392334, -0.5627278685569763, 0.02053200826048851, -0.7070968151092529, 1.2593512535095215, 0.18510372936725616, 0.030121318995952606, 0.7597708106040955, 0.7854235172271729, -0.6126899123191833, 0.7955025434494019, -0.057085249572992325, 0.16046978533267975, 0.5346366167068481, 0.621194064617157, 0.2678230106830597, 0.5047506093978882, -0.6604039669036865, 0.05103202909231186, 0.01610330492258072, -0.14903254806995392, 1.0368629693984985, 0.356671541929245, 0.4820863902568817, -1.2438874244689941, 0.33874210715293884, -0.8439600467681885, 0.20275306701660156, -1.7694147825241089, -0.0812070220708847, 1.072689175605774, -0.27673041820526123, -1.2643121480941772, 1.1343599557876587, 0.2890407145023346, -0.7745712995529175, -0.22595056891441345, 0.255136102437973, 0.7066710591316223, 0.020293405279517174, 1.1839773654937744, -1.4922544956207275, -0.29728934168815613, 0.7290235757827759, -0.544335126876831, 0.892753541469574, -1.768609642982483, -0.9517772197723389, -0.7013502717018127, -0.30112165212631226, -0.02223908342421055, 0.322679728269577, -0.20613127946853638, -0.22715842723846436, -0.483582079410553, 0.974662184715271, 0.30364951491355896, -0.19930095970630646, -0.09044389426708221, 0.8873679041862488, 0.12948420643806458, -0.40542319416999817, -0.8506590127944946, 1.233142614364624, -0.3742740750312805, 0.46784186363220215, -0.6175015568733215, -0.9092626571655273, -0.9523371458053589, 0.005227539222687483, -0.3262365758419037, -0.3593122363090515, -0.08802338689565659, 1.3532838821411133, -0.6103124022483826, 0.7931236028671265, 0.3334559202194214, -0.4866332709789276, -0.48616522550582886, 1.8509529829025269, -0.9836129546165466, 0.23333439230918884, -0.3875943720340729, -0.12047665566205978, -0.3186100721359253, -1.707159399986267, -0.38367199897766113, -0.02824108488857746, 0.17913362383842468, 0.42756834626197815, 0.49759989976882935, 0.19171442091464996, -1.410393238067627, -0.8241682648658752, -0.426836222410202, -1.2194243669509888, -1.3482304811477661, -0.4896305203437805, 0.18453748524188995, 0.07793319970369339, 0.6999260187149048, -0.6984113454818726, 0.45471498370170593, 0.24892748892307281, 0.17073459923267365, 0.05729816108942032, 0.7506506443023682, 0.12211962044239044, 0.7007965445518494, -0.7767927050590515, -0.8230469822883606, -0.20048700273036957, -0.3051629662513733, 1.1870079040527344, 0.011885515414178371, 0.17214161157608032, 0.4909987449645996, -0.5441798567771912, 0.2918323278427124, -1.0351054668426514, 1.003100037574768, 0.17333336174488068, -1.6201180219650269, -1.2559105157852173, 0.06636505573987961, 0.0325617641210556, -0.806942880153656, -1.019615888595581, 0.8623715043067932, -0.8000234365463257, 0.45398250222206116, 0.24029043316841125, -0.07632982730865479, 0.6752263307571411, -0.09222494065761566, 0.8295657634735107, -0.9210408329963684, 0.7920267581939697, 0.2274210900068283, 0.5140261650085449, 0.3973618447780609, -0.5905690789222717, 0.02429116517305374, 0.32652613520622253, 0.15304812788963318, 0.25315290689468384, -1.1738479137420654, 0.7239282727241516, 0.28451403975486755, -0.49262675642967224, 0.3715108335018158, -0.4346846342086792, 0.7437164187431335, -0.34392687678337097, -1.9850330352783203, -0.15064333379268646, -0.6310291886329651, -0.15659481287002563, -0.05926104635000229, 1.7491810321807861, -1.7820888757705688, -0.41087281703948975, -0.46560972929000854, 0.04696749523282051, -0.47130411863327026, -0.3459371328353882, 0.11017706245183945, -0.02686595916748047, -0.003705419832840562, 1.0279802083969116, -1.4377602338790894, -0.553595781326294, -0.7542645335197449, -0.25086647272109985, 1.4091168642044067, 0.6934949159622192, 0.8914889693260193, -0.45316818356513977, 0.6663073301315308, 0.28652048110961914, 0.41704967617988586, -0.21852658689022064, 0.5727333426475525, -1.9755233526229858, 0.1977870613336563, 1.1623585224151611, -0.3700748085975647, -0.4227254390716553, -0.6968975067138672, -0.6456191539764404, -0.15507087111473083, 0.11908513307571411, 1.548346996307373, -0.9683363437652588, -1.4879757165908813, 2.1573140621185303, 0.5983788371086121, -0.022933093830943108, -1.5366612672805786, 0.11287222802639008, 0.03357994928956032, 0.28382644057273865, -0.18365181982517242, 0.28021496534347534, -0.5541276335716248, -0.2822415232658386, -0.02367265708744526, 0.8948386311531067, 0.530283510684967, -0.8205016255378723, 0.3933069407939911, 1.0138847827911377, -1.0186158418655396, -0.29639628529548645, -0.5213242769241333, 0.14962077140808105, -0.6399231553077698, -0.2665903866291046, 0.2074516862630844, -0.1739954948425293, -0.43909162282943726, 0.4882145822048187, -1.0930815935134888, -0.01655428111553192, -1.1850268840789795, 0.4144696295261383, -0.44992944598197937, -1.9843666553497314, 0.39325153827667236, 0.46193718910217285, 0.18111826479434967, 1.1558709144592285, 1.69660222530365, 0.2578945755958557, -0.701448917388916, 0.4017200171947479, 0.7418314814567566, 0.11262527108192444, -0.35882335901260376, -0.49440905451774597, 0.5676214694976807, 0.8064877390861511, -1.2897049188613892, 0.10569760948419571, 0.4388324022293091, 0.6701413989067078, -0.4396559000015259, -0.005513593554496765, -0.9093058109283447, 1.030728816986084, 1.3214629888534546, 0.8508668541908264, 0.010662066750228405, 1.1560442447662354, 0.4279830753803253, -0.000841198256239295, -0.4676920771598816, 0.2562941312789917, -0.5088546276092529, 0.4230332374572754, 0.5885440707206726, 0.0016041561029851437, 0.24028369784355164, -0.0878426730632782, -0.6472520232200623, -1.7245523929595947, 0.0064377193339169025, 0.6953481435775757, 0.9495351314544678, -0.31953269243240356, -1.646302342414856, -1.5948206186294556, -0.20421208441257477, 0.1610124409198761, 0.7335385084152222, 0.7819721102714539, 0.4271140694618225, 1.8250478506088257, 0.0461173877120018, 1.1744071245193481, -1.1853026151657104, -0.6422308087348938, 0.2783033549785614, 0.13619698584079742, -0.303840309381485, -0.8490986824035645, -0.9319104552268982, 1.138655424118042, -0.31216272711753845, -0.29304322600364685, -0.07043727487325668, -0.03580218181014061, -0.5725846290588379, -1.3675130605697632, -0.9467660188674927, 1.039702296257019, -0.32206088304519653, -0.32342103123664856, 0.2460818737745285, 0.7906171083450317, -1.6519856452941895, 1.252981185913086, -0.2890208065509796, 0.7655826807022095, -0.13985951244831085, 0.2153487354516983, 0.07261934131383896, -0.8329124450683594, -0.2376215159893036, -1.1420083045959473, -1.0352652072906494, 1.5479427576065063, -0.17921105027198792, -0.6966638565063477, -1.798838496208191, -0.503491997718811, 0.0930846631526947, -0.9909919500350952, -0.6775236129760742, -1.2269951105117798, 0.5497681498527527, -0.7589943408966064, 0.642882764339447, 1.6880120038986206, 0.8825873136520386, 1.547115683555603, 0.32514578104019165, -0.3691873848438263, 0.15626338124275208, 0.46559059619903564, 0.18371297419071198, -0.22423391044139862, -0.2522381544113159, 0.8381650447845459, 0.5957918167114258, -0.047973550856113434, -0.7382692694664001, -0.440987765789032, -0.7562567591667175, 1.1108665466308594, -0.779215931892395, 0.6268764138221741, -0.6074733734130859, -1.5266748666763306, 0.3242811858654022, -0.8346207141876221, -0.2584460377693176, 0.16554926335811615, 0.28875255584716797, -0.14981135725975037, 0.31915998458862305, 0.07714004814624786, -0.05907212942838669, -0.9855065941810608, 0.6384070515632629, 0.799372136592865, 0.6215963363647461, 0.43346869945526123, -1.1403284072875977, 0.23743890225887299, 0.10406062006950378, 0.08270903676748276, 0.9049315452575684, -0.13043244183063507, -0.655390202999115, -0.03657803311944008, -0.096715547144413, -0.15702174603939056, -0.30082544684410095, -2.1585278511047363, -2.005178689956665, -2.234104633331299, -0.24276341497898102, -1.7237370014190674, 0.17365115880966187, 0.7605356574058533, -0.5246636867523193, -0.8079279661178589, -0.256591796875, -0.0715060755610466, 1.4795022010803223, -0.5519812107086182, 0.15223540365695953, 1.6930439472198486, -0.7032243609428406, 1.1002904176712036, -0.5547541379928589, 0.032506898045539856, 0.19256210327148438, -0.1227082684636116, 0.038416121155023575, -0.6626186966896057, -0.9478499889373779, 1.1638096570968628, -0.5039931535720825, -0.18554013967514038, 0.7285440564155579, 0.4385310411453247, 0.45707011222839355, 0.23314566910266876, -1.1805238723754883, 0.14931374788284302, -0.22658343613147736, 0.30579546093940735, 0.4517277777194977, -0.23717425763607025, -1.179313063621521, -0.14978767931461334, 0.495756596326828, -0.3233339190483093, -5.979975700378418, 0.16419221460819244, -1.0397762060165405, 0.02307986654341221, -0.24602018296718597, 0.1736505925655365, -1.1606173515319824, 0.30296754837036133, -0.9759454727172852, -0.5396126508712769, 1.5590190887451172, -0.710423469543457, -0.5233200788497925, -0.4159644544124603, -0.03997142240405083, -0.6967698931694031, 0.870152473449707, 0.420439213514328, -0.3633548319339752, -0.2586914896965027, -1.400181770324707, -0.021092956885695457, -0.8134544491767883, 0.8581995964050293, -0.4696887135505676, -0.7869356274604797, 0.9485505223274231, -0.9815618395805359, 1.4079527854919434, -0.20144544541835785, -0.3216986358165741, -0.19823582470417023, 0.06465379893779755, 0.6321073770523071, 0.886479914188385, 0.24973364174365997, -1.3346635103225708, 0.9349438548088074, 0.6738172769546509, -1.5230783224105835, 0.8819999694824219, 0.1947612464427948, -0.5656425952911377, 0.13984549045562744, -0.9938067197799683, 0.3159250020980835, -0.18694230914115906, -0.8663194179534912, -0.9346771836280823, 1.0102524757385254, -0.34155213832855225, 0.11600188910961151, 0.16949942708015442, 0.40211182832717896, -1.036331057548523, 0.6705747842788696, -0.25644710659980774, 0.5017902851104736, 0.21926550567150116, -0.056254755705595016, 1.5322983264923096, 1.0760347843170166, -0.08971066772937775, 0.25973963737487793, -0.5499951839447021, -0.7974696755409241, -0.5997076630592346, 0.43486472964286804, 0.2604127526283264, -1.2154899835586548, 0.180768221616745, -0.2707345485687256, -0.42896556854248047, 0.4241971969604492, 0.6932138800621033, 0.6867556571960449, 0.8795329332351685, 1.2122660875320435, -0.8085060715675354, 0.4112350344657898, 0.8268105983734131, 0.4750998914241791, -0.44159403443336487, -0.7154699563980103, -0.7635635137557983, -1.2908051013946533, 0.4503355920314789, -0.5333095192909241, -0.7539883255958557, -0.6492651104927063, -0.2878962457180023, 0.928656280040741, 0.325684130191803, -0.9834932684898376, -0.044604651629924774, -0.31378433108329773, 0.8258015513420105, -0.5532220005989075, -0.26470446586608887, 0.39205360412597656, -0.8446238040924072, -2.105252742767334, -0.46796485781669617, 1.2734606266021729, 1.2476474046707153, 1.2758089303970337, -0.6902351975440979, 1.5469483137130737, 0.6809868216514587, -0.5310609340667725, 1.07316255569458, -0.6606886982917786, 0.9045354723930359, 0.11279705166816711, 0.5417101383209229, -1.709041953086853, 0.3584462106227875, -0.16952426731586456, -1.2991869449615479, -1.4193294048309326, -0.17214375734329224, 0.09610854089260101, -0.3519640862941742, 1.2571519613265991, -0.1578746736049652, 0.349599152803421, -1.3460487127304077, -1.1875611543655396, -0.3094618618488312, -0.27963805198669434, 0.40226268768310547, -0.6134060621261597, -0.5445383191108704, 1.6602399349212646, -0.5587527751922607, 0.7312474846839905, 0.7881968021392822, 0.34761467576026917, -0.10030863434076309, -0.6893830895423889, -0.15937159955501556, -0.449069082736969, 0.7171333432197571, -1.704490303993225, 0.7249588966369629, -0.656302273273468, -0.16665154695510864, 0.3188483417034149, -0.6026160717010498, 0.5529581904411316, -0.17628613114356995, 0.7899859547615051, 0.030980195850133896, -0.3317303955554962, -1.002825379371643, -0.022773360833525658, 0.1615484207868576, -0.25234848260879517, 1.0805206298828125, -0.9139273166656494, -0.1110769510269165, 0.8420109152793884, -0.20079398155212402, -0.24616417288780212, -0.20309939980506897, 0.4617738723754883, -0.20521004498004913, 0.008433757349848747, -0.6246417164802551, -0.2690965533256531, -0.07061554491519928, -0.5213285684585571, 0.39023908972740173, -0.12033416330814362, -0.22353529930114746, 0.7049611210823059, -0.6744106411933899, -0.510227382183075, -0.7361211180686951, -0.8459972143173218, 0.736433207988739, 0.874294102191925, 0.7070835828781128, 0.5058342814445496, -0.5549914836883545, 0.7608166337013245, 1.4375340938568115, -0.22745336592197418, 0.051616232842206955, 0.9311668276786804, -0.06637151539325714, -0.5455160737037659, -2.028184413909912, 0.918004035949707, -1.2255762815475464, -0.1316501945257187, 0.24184483289718628, 0.3531000316143036, 0.22460949420928955, -0.2468145489692688, -0.2181517332792282, -0.5738033652305603, 0.6236617565155029, 0.2755393385887146, 0.7266196608543396, -0.24893243610858917, 0.8547044992446899, 0.9162819981575012, -0.9097662568092346, 0.41306617856025696, 0.7804021835327148, -0.20075580477714539 ]
145
0704.0147
Umesh Vijayashanker
Sudha, A. V. Gopala Rao, A. R. Usha Devi and A. K. Rajagopal
A POVM view of the ensemble approach to polarization optics
14 pages, 1 table; RevTeX
null
null
null
physics.optics physics.class-ph quant-ph
null
Statistical ensemble formalism of Kim, Mandel and Wolf (J. Opt. Soc. Am. A 4, 433 (1987)) offers a realistic model for characterizing the effect of stochastic non-image forming optical media on the state of polarization of transmittedlight. With suitable choice of the Jones ensemble, various Mueller transformations - some of which have been unknown so far - are deduced. It is observed that the ensemble approach is formally identical to the positive operator valued measures (POVM) on the quantum density matrix. This observation, in combination with the recent suggestion by Ahnert and Payne (Phys. Rev. A 71, 012330, (2005)) - in the context of generalized quantum measurement on single photon polarization states - that linear optics elements can be employed in setting up all possible POVMs, enables us to propose a way of realizing different types of Mueller devices.
[ { "created": "Mon, 2 Apr 2007 18:01:33 GMT", "version": "v1" }, { "created": "Wed, 20 Jun 2007 18:05:42 GMT", "version": "v2" } ]
2007-06-26
[ [ "Sudha", "", "" ], [ "Rao", "A. V. Gopala", "" ], [ "Devi", "A. R. Usha", "" ], [ "Rajagopal", "A. K.", "" ] ]
07
[ -0.6401055455207825, -0.2802049517631531, 1.46181321144104, -0.07859812676906586, 1.4842069149017334, -0.2105555385351181, -1.1152530908584595, 0.15640360116958618, -0.0328248105943203, -0.55485600233078, 0.24090272188186646, -0.1211409643292427, -0.7606185078620911, -0.2481299340724945, -1.3240560293197632, -0.5688499808311462, 0.4200894832611084, -0.10280820727348328, 0.4241926074028015, -0.10487131774425507, -0.14679893851280212, 0.2785522937774658, 0.8030573129653931, -1.4027581214904785, 0.11026246845722198, -0.4189205765724182, 0.6289098858833313, -0.4548335373401642, -1.393580675125122, 0.18068382143974304, 0.32754459977149963, -0.016119524836540222, 0.7518401741981506, 0.6272362470626831, -0.42316585779190063, -0.46614646911621094, 0.921284019947052, -0.532418429851532, -0.5364105105400085, -1.2735940217971802, -1.6409695148468018, -0.4282384514808655, 0.10336381942033768, -0.28733691573143005, -1.637284517288208, 0.9366580843925476, 1.1041979789733887, 0.36955252289772034, -0.34153276681900024, -0.5626384019851685, -0.31036072969436646, -0.545784592628479, -0.09979504346847534, -0.005255228839814663, 1.135948896408081, -0.03004709631204605, 0.8863564133644104, -0.6296502947807312, -0.02927946113049984, 0.00018169029499404132, 1.16856050491333, 0.31966641545295715, -0.26591768860816956, -0.9117261171340942, 0.09188800305128098, -0.4585408568382263, 0.8108450174331665, -0.4409058094024658, 0.2680072486400604, 0.1228705495595932, -0.6316949725151062, -0.17644423246383667, -0.01714160107076168, -1.0898014307022095, 0.7461750507354736, 0.1922045797109604, -0.1973278671503067, -0.05580604448914528, 1.290144920349121, 0.8652521371841431, 0.22944508492946625, -0.004768586251884699, 0.5581325888633728, -0.7206647396087646, -0.11986882984638214, 0.5925135612487793, 1.7365459203720093, -0.9985486268997192, -1.0864640474319458, 0.24679674208164215, -0.6321573853492737, -1.1948860883712769, -0.09801644086837769, -0.532468855381012, 0.8816231489181519, 1.01760995388031, -1.0978662967681885, -0.47493311762809753, -0.225656658411026, 1.3114678859710693, 1.0959104299545288, 0.16753970086574554, 0.036803726106882095, 0.021012945100665092, -0.07643456757068634, 1.0006587505340576, -0.22719232738018036, -1.22257661819458, -0.8605430126190186, -0.38739532232284546, 0.13620860874652863, -0.5521136522293091, 0.07788174599409103, 0.3216822147369385, 1.14321768283844, 0.9510448575019836, -1.126737117767334, -0.48702937364578247, 0.5520132780075073, 0.3617580533027649, 0.32267236709594727, -0.292796790599823, -0.05334722623229027, 0.42034655809402466, 0.5237903594970703, 0.46166956424713135, 0.44159650802612305, -0.24293732643127441, 0.08279220014810562, 0.4004058539867401, -0.2955138683319092, -0.49491095542907715, -0.7860574126243591, -0.4387753903865814, -0.5225504040718079, 0.7335966229438782, -1.4982062578201294, 0.778214156627655, -0.8181805610656738, -0.22099781036376953, 0.6840145587921143, -0.012077626772224903, 0.4507412314414978, -0.23000727593898773, -0.8057337999343872, -1.1308634281158447, -0.547071635723114, -1.2912094593048096, -0.7792661786079407, -0.11789418011903763, -0.19239383935928345, -1.2486293315887451, -0.3059571087360382, -0.3433363437652588, -0.1388801783323288, -0.09305776655673981, -0.40360158681869507, 0.785327136516571, -0.5999606251716614, -0.04437486082315445, 0.9356512427330017, -0.05707791447639465, 0.6043449640274048, -0.13408346474170685, -0.6602542996406555, 0.28778380155563354, -0.4743492305278778, -0.12923510372638702, -0.21632559597492218, 0.7561666369438171, -1.5355273485183716, 0.40359973907470703, -0.6268156170845032, 1.8030725717544556, 0.1591581404209137, -0.271578848361969, 0.015040166676044464, -0.12459660321474075, -0.747107982635498, -0.18309123814105988, 1.082037329673767, -1.586061954498291, -1.3771741390228271, 0.558908998966217, -0.26028165221214294, -0.18443554639816284, -0.9565138220787048, -0.04965989664196968, -0.8409103155136108, -0.04947260022163391, -1.2337980270385742, 0.4738955795764923, -1.706465482711792, 0.9693505167961121, -1.0852526426315308, 0.34942495822906494, -0.06089423969388008, 0.6011769771575928, -0.7896220684051514, 0.06962978839874268, 0.3661336302757263, -0.6275669932365417, 0.5660015344619751, 0.4405672550201416, -1.2542089223861694, 0.5616563558578491, 0.29136979579925537, -0.02408137358725071, -0.18899847567081451, -0.6013393402099609, 0.11280712485313416, 0.8475952744483948, -0.26493674516677856, -0.16486604511737823, 1.1353524923324585, 0.43184685707092285, -0.23138073086738586, 0.44652828574180603, -0.17649558186531067, 0.002247583819553256, -0.13350075483322144, 0.5714961290359497, 0.5506130456924438, 0.30827298760414124, -0.09126771986484528, 0.4497816860675812, -0.7626151442527771, 0.10668018460273743, -0.03039703331887722, -1.277268409729004, 1.0737580060958862, -1.5218325853347778, 0.15228044986724854, 0.023792242631316185, 0.16482499241828918, -0.851891279220581, -0.3108731806278229, -0.7471409440040588, 0.025868024677038193, -1.1804336309432983, 0.4932284951210022, 0.3293774425983429, -0.1524185985326767, 0.3903760612010956, -0.7285792827606201, 0.3590730130672455, 1.5987186431884766, 0.09723415970802307, -0.5972506999969482, -0.35242941975593567, -0.3154486417770386, 0.47851812839508057, 0.6293498873710632, 0.23394180834293365, 0.37334924936294556, 1.0553926229476929, 0.7716317176818848, -0.7687637805938721, 0.1531183421611786, 0.9675334692001343, 1.56698477268219, -0.7755151391029358, 1.199033260345459, -0.23638011515140533, 0.010708016343414783, -3.0339322090148926, 0.8855771422386169, -0.5673719048500061, -0.47354018688201904, -0.7197908759117126, -0.1372271180152893, 1.386354923248291, -1.1197510957717896, -0.5966024398803711, -0.40849554538726807, -0.744193434715271, -0.5348296761512756, -0.13261550664901733, -0.4108823239803314, 0.9721071720123291, -1.0461335182189941, 2.0533087253570557, -0.46324750781059265, -0.7236061692237854, 1.1568230390548706, 0.5880658626556396, -0.041406139731407166, -1.6521217823028564, -1.0923758745193481, -0.13411752879619598, 0.41164907813072205, 0.7056300044059753, 0.1200457513332367, -1.2788656949996948, -0.7432554960250854, -0.7511400580406189, -0.7221534848213196, 1.4325941801071167, 0.4264928996562958, -0.155587837100029, -0.04426056891679764, -1.043440818786621, -0.33842480182647705, -0.31284114718437195, 1.2684473991394043, -0.6356649994850159, 0.5140035152435303, 0.9676116108894348, -1.4395678043365479, 0.5165284872055054, -0.5710581541061401, 0.9710437059402466, -0.2744675874710083, -0.25481370091438293, 0.6531326174736023, 0.23134297132492065, -1.2892307043075562, -0.6873621940612793, -0.7166008949279785, -0.13920700550079346, -0.01506606675684452, -0.7254229784011841, -0.05931897833943367, 0.09246097505092621, -0.2973824143409729, 0.8505836725234985, 0.2691570520401001, 0.18413206934928894, 1.8078534603118896, -0.006938311271369457, 0.8392709493637085, -0.015172607265412807, -0.01459639985114336, 0.6396439671516418, -0.3644492030143738, -0.37058085203170776, -0.2621379792690277, -0.022059040144085884, 0.3496854603290558, 0.32778868079185486, -1.2937840223312378, 0.528249979019165, 0.413252055644989, 0.29502132534980774, -1.575728178024292, -0.16058722138404846, -0.15765532851219177, -0.47981148958206177, -0.1731404960155487, 0.9043028950691223, 0.5857933163642883, 0.4686529040336609, 0.2655239701271057, 0.23116527497768402, 0.2715396285057068, -0.35210275650024414, 0.48354196548461914, 0.45700761675834656, -1.6387649774551392, -0.1290968805551529, 0.15733717381954193, 0.35781246423721313, -0.22229303419589996, -1.5747792720794678, 0.6301800608634949, -0.6703629493713379, -0.2068501114845276, 1.065714955329895, -1.6477971076965332, 0.005200446117669344, 0.36524590849876404, -0.18114984035491943, -0.16064469516277313, 0.9343069195747375, -0.36618781089782715, 0.214988112449646, 1.1000185012817383, 1.09384024143219, 1.27700674533844, 0.09396384656429291, -0.5108810663223267, 0.9512750506401062, -1.2287003993988037, 0.35893648862838745, 0.571955680847168, 0.5938572883605957, 0.7020249962806702, 0.4213590919971466, -1.1991580724716187, -0.49086055159568787, 0.1789158135652542, -0.17891210317611694, 0.31392255425453186, -0.4494114816188812, 0.6197972297668457, -0.28232139348983765, -0.01217240933328867, -0.2888575792312622, -0.6274394989013672, -0.39819902181625366, -0.7427860498428345, 1.1099069118499756, 0.2698792815208435, -0.2883875370025635, -0.21096694469451904, -0.6452668309211731, -0.012312573380768299, 0.7532008290290833, -0.10477855056524277, -1.252546787261963, -1.0332785844802856, -0.37317514419555664, -0.015596907585859299, -0.08503561466932297, 2.13767147064209, -1.3848837614059448, 0.39878058433532715, 0.679745614528656, 0.376339316368103, -0.38082727789878845, 0.20141156017780304, 0.44582322239875793, 0.66341233253479, 0.11306176334619522, 0.34050774574279785, -0.566210925579071, -1.0708930492401123, 0.22157377004623413, 0.6671639084815979, -0.19739201664924622, -0.46706652641296387, -0.3120969235897064, -0.261759877204895, 1.0277066230773926, 0.117662213742733, 0.1393612176179886, -0.4458468556404114, 1.6016652584075928, -0.3787906765937805, -0.9958720803260803, 0.10970096290111542, 1.233712911605835, 0.021339962258934975, -0.575606644153595, 0.45578598976135254, -0.4726758301258087, -0.26765841245651245, 0.24458494782447815, 1.1587486267089844, -0.1356043815612793, 1.4002139568328857, 0.7135578989982605, -0.5944050550460815, -1.0324982404708862, 0.5695427060127258, -0.8258467316627502, 0.1426776945590973, 0.5342795252799988, -1.6413304805755615, 0.7382764220237732, -0.30895864963531494, -0.1487130969762802, 0.604977011680603, -0.188213512301445, -0.876272439956665, -0.5235649943351746, 0.24308982491493225, -0.9137207865715027, -0.014803803525865078, 1.2170085906982422, 1.3002337217330933, 1.2189143896102905, 0.18727271258831024, 0.3588467538356781, -0.17211028933525085, 0.0823746845126152, 1.1896891593933105, 0.4645632803440094, 0.18208317458629608, -0.9090712070465088, 1.1975876092910767, 0.9604606032371521, -0.9069364070892334, -0.1265842765569687, -0.8486241698265076, 0.02623208984732628, -0.5984408855438232, -0.8008276224136353, -0.4886433184146881, 0.07994567602872849, 0.10792794078588486, -0.2009183168411255, -0.12203513830900192, -2.0943267345428467, 1.0090723037719727, -0.33058205246925354, 0.18395668268203735, 1.8706235885620117, 0.10801032185554504, -0.8621858954429626, 0.23869894444942474, -0.4431706964969635, -0.881599485874176, -0.7915247678756714, -1.1877777576446533, 0.05866110697388649, -0.2600875496864319, -0.14635275304317474, 0.4930523931980133, 0.6640170812606812, 0.3118310272693634, 0.3951510787010193, -0.35462915897369385, -0.8138363361358643, -1.2764017581939697, -0.6721606254577637, -0.699099063873291, -2.854210138320923, 0.3562200367450714, 0.27189114689826965, 1.1682696342468262, 0.6122894287109375, 0.13311074674129486, -2.152834892272949, -0.8661614656448364, 0.698237955570221, 0.4133948087692261, 0.02444525621831417, 0.625239372253418, 1.1881567239761353, -0.8443918824195862, 0.22911223769187927, -0.0910506471991539, 0.8900984525680542, -0.6629621386528015, 0.3855837881565094, -0.2691965699195862, -0.8382483124732971, -1.6165313720703125, -0.3460327088832855, 0.3068681061267853, -1.0423622131347656, -0.19512760639190674, 0.053586654365062714, 0.5374495983123779, 0.8574082255363464, 0.25547531247138977, 0.6938080191612244, 0.6940728425979614, 0.7651804685592651, -0.9567111134529114, -0.6023761034011841, -0.0019199473317712545, -0.09874793142080307, 1.4080922603607178, -1.1379318237304688, -6.8462443351745605, 0.7946211695671082, -1.3559967279434204, -0.02879566140472889, -0.20663180947303772, -1.844009518623352, -0.2269267588853836, -0.2007046788930893, -0.326813280582428, 0.3961290419101715, 1.3368360996246338, -0.33164745569229126, -1.1815540790557861, 0.3341273367404938, 0.03020413964986801, 0.6239309906959534, 0.2240869551897049, 0.6828727126121521, -0.5342443585395813, 1.674004316329956, -1.4390087127685547, 0.2059081643819809, -0.2466324269771576, 0.2999405562877655, 1.4070523977279663, 0.37019264698028564, -0.4847598671913147, 1.4157180786132812, -0.1678493767976761, -0.03520810231566429, 0.37957844138145447, 0.8840460181236267, -0.3651432693004608, 0.44163697957992554, -0.8811472654342651, 0.20613029599189758, 1.3177951574325562, 1.1261696815490723, -0.020141970366239548, -0.9963683485984802, 0.20256607234477997, -0.9499671459197998, -0.10681676119565964, -0.2737155854701996, 0.1984504908323288, 0.11100289970636368, -0.11877165734767914, -0.9620909690856934, -0.0806635171175003, -0.4203529953956604, 0.42112019658088684, 0.054251108318567276, 0.8550684452056885, 0.780343234539032, -1.2022498846054077, -0.28768599033355713, -1.7208797931671143, 0.21752427518367767, -0.8173649907112122, -0.2585549056529999, 0.18655523657798767, -0.6481776833534241, 1.1042965650558472, -0.450416624546051, 0.06901563704013824, 0.26291608810424805, -1.3772342205047607, -0.6582484841346741, -1.1357412338256836, 0.9048634171485901, -1.0554288625717163, -1.029880166053772, -0.20426449179649353, 0.7191867232322693, 1.646772861480713, -0.24359701573848724, 0.12786783277988434, -0.35904285311698914, 0.5226446986198425, -0.18854078650474548, 0.4652918577194214, 0.8659536242485046, -0.24615395069122314, 0.8131595253944397, -0.46359527111053467, -0.6523568630218506, -0.8083148002624512, -1.5505452156066895, -0.0028043058700859547, -0.1900208294391632, 1.0249900817871094, -0.007353032007813454, -0.7718775868415833, 0.969160795211792, 0.8364236950874329, 1.5417739152908325, 1.2298845052719116, -0.9347765445709229, -0.475888729095459, 0.36099162697792053, -0.4567720890045166, -0.6820239424705505, -0.683500349521637, 0.04643331840634346, -0.7201091051101685, 0.9888931512832642, -0.7254657745361328, 0.706655740737915, 0.5007575154304504, 1.5190194845199585, -0.2362041473388672, 0.41300883889198303, 0.2727588415145874, 0.11274344474077225, -1.0979396104812622, 0.03870439529418945, -0.958583652973175, 0.15000440180301666, -1.2878949642181396, -0.6649385690689087, -0.16603200137615204, -0.7681484222412109, -0.3427720069885254, 0.9218208193778992, 1.0683619976043701, -0.672023355960846, 0.4040221869945526, -0.8196450471878052, -1.0679177045822144, -0.5541627407073975, -0.3989238739013672, -1.1151469945907593, 1.062262773513794, 0.34370195865631104, 0.22527918219566345, 0.9123147130012512, 0.12368643283843994, 0.4327889084815979, 0.2800246775150299, 0.3562837243080139, 0.585684597492218, 0.021898789331316948, -0.09258487820625305, -0.7369152307510376, -0.3746955990791321, -0.9074169993400574, 0.8561588525772095, -0.7206725478172302, -1.1208685636520386, 0.01242971420288086, -0.5246744751930237, -0.5642544627189636, 0.9697039723396301, -0.28435033559799194, 0.3417918086051941, 0.5700164437294006, -0.8330761194229126, 0.174637570977211, -0.17041100561618805, -1.0256845951080322, 1.0237126350402832, -1.3804209232330322, 1.2904167175292969, 0.9780733585357666, -0.6250362992286682, -0.7966005802154541, -0.6599503755569458, -0.5065686106681824, 0.8996297121047974, -1.1451056003570557, 0.4314758777618408, -0.6203464865684509, 0.29271388053894043, 0.7800470590591431, -0.1979062259197235, -0.6470706462860107, 0.3247818648815155, 0.13301804661750793, -0.678749680519104, -1.4691411256790161, 1.074439287185669, 0.4391161799430847, -0.11318878829479218, 0.7162275314331055, 0.911313533782959, 0.05427973344922066, 0.3843159079551697, -0.6400704979896545, 0.4443376660346985, -1.2269277572631836, 0.03523080423474312, -0.4602055251598358, 0.195621520280838, 0.8386931419372559, 0.38054412603378296, -1.184248924255371, 0.048708781599998474, -0.07825186848640442, 0.7427132725715637, 0.6129543781280518, 0.5420793294906616, 1.2235360145568848, 0.9386194944381714, -0.3280404508113861, 0.770691990852356, 0.7674040198326111, -0.7310454845428467, -0.02760756015777588, -0.7178402543067932, -0.02788984403014183, 0.20415261387825012, -0.7217602133750916 ]
146
0704.0148
Prof. Dr. M. W. Wu
J. H. Jiang, Y. Y. Wang, and M. W. Wu
Reexamination of spin decoherence in semiconductor quantum dots from equation-of-motion approach
20 pages, 13 figures, to be published in PRB
Phys. Rev. B 77, 035323 (2008)
10.1103/PhysRevB.77.035323
null
cond-mat.mtrl-sci
null
The longitudinal and transversal spin decoherence times, $T_1$ and $T_2$, in semiconductor quantum dots are investigated from equation-of-motion approach for different magnetic fields, quantum dot sizes, and temperatures. Various mechanisms, such as the hyperfine interaction with the surrounding nuclei, the Dresselhaus spin-orbit coupling together with the electron--bulk-phonon interaction, the $g$-factor fluctuations, the direct spin-phonon coupling due to the phonon-induced strain, and the coaction of the electron--bulk/surface-phonon interaction together with the hyperfine interaction are included. The relative contributions from these spin decoherence mechanisms are compared in detail. In our calculation, the spin-orbit coupling is included in each mechanism and is shown to have marked effect in most cases. The equation-of-motion approach is applied in studying both the spin relaxation time $T_1$ and the spin dephasing time $T_2$, either in Markovian or in non-Markovian limit. When many levels are involved at finite temperature, we demonstrate how to obtain the spin relaxation time from the Fermi Golden rule in the limit of weak spin-orbit coupling. However, at high temperature and/or for large spin-orbit coupling, one has to use the equation-of-motion approach when many levels are involved. Moreover, spin dephasing can be much more efficient than spin relaxation at high temperature, though the two only differs by a factor of two at low temperature.
[ { "created": "Mon, 2 Apr 2007 09:15:20 GMT", "version": "v1" }, { "created": "Fri, 4 May 2007 06:59:07 GMT", "version": "v2" }, { "created": "Wed, 27 Jun 2007 03:17:27 GMT", "version": "v3" }, { "created": "Tue, 11 Dec 2007 01:21:29 GMT", "version": "v4" }, { "created": "Mon, 17 Dec 2007 22:42:44 GMT", "version": "v5" } ]
2008-01-20
[ [ "Jiang", "J. H.", "" ], [ "Wang", "Y. Y.", "" ], [ "Wu", "M. W.", "" ] ]
07
[ -0.36511459946632385, 0.2542652487754822, 0.02709975093603134, 0.7650015950202942, -0.698391854763031, -0.037150174379348755, -0.48143213987350464, -0.9758644104003906, -0.22837692499160767, 0.46464985609054565, -0.9789859056472778, 0.02013673074543476, 0.5882384777069092, 1.260766863822937, -1.8748269081115723, -0.09568743407726288, 0.8606374263763428, -0.37312325835227966, 0.5055202841758728, 1.2497199773788452, 0.4063059091567993, 0.34871187806129456, 0.03335442394018173, 0.0656844899058342, -0.7058451771736145, 1.3441262245178223, -1.2307870388031006, 1.0189080238342285, -0.7796812653541565, -0.46510565280914307, -1.082107663154602, 0.2935129404067993, -1.0488320589065552, -0.5227087736129761, -0.83282470703125, 0.10284126549959183, -0.19777537882328033, 0.16219912469387054, -0.6635192632675171, -1.0414758920669556, -0.14835841953754425, 0.09686975181102753, -0.6715547442436218, 0.2581251859664917, -1.7458800077438354, -0.43563976883888245, 0.03368140757083893, -1.8423285484313965, 0.2349657416343689, -0.9314945340156555, 0.04045010730624199, 0.277338445186615, 0.41735517978668213, -0.14916354417800903, -0.02236533723771572, -0.1390184760093689, -0.08455616980791092, 0.8926307559013367, -1.057535171508789, -2.2925901412963867, 0.2960307002067566, -0.9370279312133789, -0.4947444498538971, -0.5264102816581726, 0.8038867115974426, 1.0059736967086792, 0.5964013934135437, -0.2828473150730133, 0.11418309807777405, -0.1079254075884819, -0.886967658996582, -1.650025725364685, 0.5391290187835693, -0.30861523747444153, 1.7203930616378784, -0.4478912353515625, -0.24420109391212463, 1.0160783529281616, 1.2917559146881104, -1.2105318307876587, 1.2870638370513916, 1.041765809059143, -0.9426252245903015, -1.379468560218811, 0.8254756927490234, 0.05441494658589363, 0.1616779863834381, 0.05524406582117081, -0.6207887530326843, -0.8072441816329956, -0.41090306639671326, -1.1342885494232178, 0.8733571171760559, -0.5933763384819031, -0.19923312962055206, -0.08477018028497696, 0.5960031151771545, -0.3462366759777069, -0.4437558948993683, 0.3994898200035095, 0.01011253148317337, 0.14744167029857635, 1.4254640340805054, -0.01576557382941246, 0.049757763743400574, -0.26027441024780273, 0.2768237888813019, -0.1803520768880844, -0.8020895719528198, -0.01884201169013977, -0.28618937730789185, -1.2235393524169922, -0.7052814960479736, -0.9311903715133667, 0.2225378155708313, -0.5241029858589172, -1.9713411331176758, 0.07401403784751892, -2.289309501647949, -0.07062733173370361, -0.1787455826997757, -0.6002236604690552, -1.2388927936553955, 0.7903849482536316, 0.7812463641166687, 0.07592602074146271, -0.3186931312084198, -0.608970582485199, 0.05391852185130119, 0.3818865716457367, -1.4709981679916382, -0.4581011235713959, -0.12475669384002686, 0.6303569674491882, -1.7649940252304077, 0.026154914870858192, -0.5136343836784363, 1.0587579011917114, 0.029875222593545914, -1.4784656763076782, -0.5145751237869263, -0.015226921997964382, -0.12977847456932068, 0.1706659495830536, -0.14927230775356293, -0.9170719981193542, -0.4242134690284729, 1.1145857572555542, -0.656606912612915, -1.2273951768875122, 0.38567569851875305, -0.36914676427841187, 0.26295939087867737, 0.9829690456390381, 1.083558201789856, -1.4879376888275146, -0.01201104186475277, 0.8620986938476562, -0.11690667271614075, 0.664787232875824, 1.7397730350494385, 0.6397103667259216, -1.4647494554519653, -1.9082682132720947, -0.4314606189727783, 0.41586408019065857, 0.1553327441215515, 0.12671758234500885, -0.833991289138794, 0.8223659992218018, 1.0099399089813232, 0.7817528247833252, -0.6381548643112183, 0.7177153825759888, -0.17314280569553375, 0.6750442385673523, 1.432780146598816, 0.20027874410152435, -0.3921668827533722, 0.3768730163574219, -0.2362017184495926, -0.9405674934387207, -1.6762669086456299, -0.22886131703853607, -0.36579880118370056, -1.4274884462356567, -0.24146103858947754, -1.7480804920196533, 0.4071521759033203, 0.3810027837753296, -0.08812825381755829, 0.014120371080935001, -1.0935992002487183, 0.8245976567268372, -0.20488646626472473, 0.8511739373207092, -0.8345796465873718, 0.4825904071331024, 0.25163733959198, -0.014930409379303455, 0.4248804748058319, 0.7863009572029114, -0.6511086821556091, -0.48186054825782776, -0.835208535194397, 0.5691192746162415, 0.1905956119298935, -0.3965490162372589, 0.4845447242259979, 0.686614990234375, -0.3453846275806427, 0.4908263683319092, -1.5877333879470825, 0.8903454542160034, 0.4192335307598114, -0.345630407333374, -0.5046994090080261, 1.4081090688705444, -0.32396459579467773, -0.03693484887480736, 0.6467857956886292, 0.8695843815803528, -0.24173150956630707, 0.3642962872982025, -0.27997419238090515, 0.811777651309967, 0.042208731174468994, 0.5415439009666443, -0.43116673827171326, 0.2576795518398285, -1.0631641149520874, -0.06545443087816238, -1.1629635095596313, 0.22894741594791412, 1.9540868997573853, 0.23056071996688843, -0.8435372710227966, -0.02001000940799713, 0.22221915423870087, 1.3560444116592407, 0.06777019053697586, 0.5832260251045227, 0.08865434676408768, 0.39862605929374695, -0.12015359103679657, 0.07043631374835968, 0.12286708503961563, 0.9256839156150818, 0.1606200933456421, -0.11771500110626221, 0.8495895862579346, 0.7275133728981018, -0.3596058487892151, 0.6118455529212952, 0.038250092417001724, 1.1806933879852295, -0.05527925491333008, -0.26162979006767273, -0.3020474314689636, 0.3235852122306824, -0.2955145239830017, -0.6763378381729126, -0.2661803066730499, -0.10213945806026459, -0.674489438533783, 2.173856735229492, -0.40498438477516174, 0.07941407710313797, -0.24860210716724396, -0.19734615087509155, 0.3213394284248352, -0.16765032708644867, -1.3282309770584106, -0.12954510748386383, 0.6360339522361755, 1.3623660802841187, 0.22389744222164154, 0.6148965358734131, -0.059115808457136154, 0.6968820095062256, 0.38506025075912476, 0.620992124080658, -0.6973377466201782, 0.2036925107240677, -0.9457419514656067, 1.2626113891601562, 0.9453536868095398, 0.0957954078912735, 0.41473397612571716, -0.21206124126911163, -0.22124654054641724, 0.18779344856739044, -1.7982257604599, -1.2793833017349243, 0.6514846682548523, -0.5772854089736938, -0.267435222864151, 0.6338128447532654, 0.009602440521121025, -0.1626759171485901, 0.7489563822746277, -0.8379809856414795, 0.9204081296920776, 0.2155332863330841, 0.4091736972332001, -0.13175584375858307, 0.03928113356232643, 0.5571458339691162, 1.2721225023269653, 0.30865156650543213, 0.42674049735069275, 0.3652108907699585, -1.5843360424041748, 0.20863454043865204, 0.5075080990791321, 0.07758305221796036, 0.4518371522426605, -0.39992672204971313, 0.1328824758529663, -0.776058554649353, 0.5368269085884094, -1.5031604766845703, -1.1706476211547852, 1.0361530780792236, 0.5532670021057129, -0.7971163988113403, -0.7160216569900513, 0.1966923177242279, 1.1588335037231445, -0.912806510925293, -0.3460705280303955, 0.43666133284568787, -0.6337239742279053, -0.18511123955249786, -0.06351811438798904, -0.6580292582511902, 0.4150024950504303, -0.179875448346138, 1.3676986694335938, 1.4944205284118652, 0.6196015477180481, 1.8103094100952148, 0.5224063396453857, -0.625413179397583, -0.9348105788230896, 0.25055381655693054, -0.21721690893173218, 0.861208975315094, -0.7758365869522095, -0.3815094828605652, -0.7505524158477783, 0.45461395382881165, -0.3368883430957794, 0.18932539224624634, 0.5000460147857666, 0.10075454413890839, 0.7687711715698242, 0.38534101843833923, -0.09078902006149292, -0.03203676640987396, 0.9166963696479797, -0.19153974950313568, 0.3680364787578583, -0.11514507979154587, 0.020347055047750473, 0.2126544862985611, 0.33174270391464233, 1.4185457229614258, -0.8674260973930359, -0.3498484492301941, -0.890101969242096, 0.22221803665161133, 0.0793563723564148, -0.37940797209739685, -0.698671281337738, -0.34398114681243896, 0.06928551942110062, 0.5505763292312622, 1.5414563417434692, -0.975162923336029, -0.6525932550430298, -0.30197224020957947, 1.0306593179702759, -0.264148473739624, 0.1614917665719986, -0.04485920071601868, -1.2852975130081177, -0.2809252142906189, -0.8338882923126221, 0.18305076658725739, -0.5781693458557129, 0.24935084581375122, 0.9188042283058167, 0.19992367923259735, -0.1265232264995575, -0.7115029096603394, 0.7079651355743408, 0.6167870759963989, -0.4140317440032959, 0.2987772524356842, 0.592178463935852, -0.6041203737258911, -0.7582116723060608, 1.288164734840393, 0.6685768365859985, 0.1494363248348236, 0.12950046360492706, -0.2504251301288605, -0.5462821125984192, 0.8961359858512878, -0.09920848160982132, 0.8738800287246704, 0.5272888541221619, -0.9799842834472656, 1.072466254234314, -0.5989053845405579, 0.14254580438137054, 1.7328208684921265, -0.8267700672149658, -0.25142988562583923, -0.15666209161281586, -0.5459084510803223, 0.48016276955604553, -0.4969389736652374, 0.7744668126106262, 0.8585914373397827, -0.315166175365448, 0.5568219423294067, -0.5727686285972595, -0.2590387761592865, 1.2669622898101807, -0.5073096752166748, -0.808718740940094, 1.0507004261016846, 0.71998131275177, -0.6510084867477417, -0.39310503005981445, -0.07876471430063248, -0.8624496459960938, -0.30754896998405457, -0.17846401035785675, 1.1431363821029663, -0.09213437885046005, 0.13855865597724915, -0.3711490333080292, -1.8196700811386108, -0.928329348564148, 1.4085955619812012, 0.2031274437904358, -0.11287462711334229, 0.5894892811775208, -1.0075461864471436, 0.3634924590587616, 0.885253369808197, -1.1579480171203613, -0.571458101272583, -0.09363477677106857, 1.4530202150344849, 0.6172098517417908, 0.12090819329023361, -1.428928017616272, -0.46184802055358887, 0.311757892370224, -1.4857648611068726, 0.8930646777153015, 0.055973783135414124, 0.7744515538215637, -0.4450377821922302, 0.09174937009811401, 0.7116338014602661, 0.9296709895133972, -1.1241023540496826, -1.7119240760803223, 1.4314459562301636, -0.8973197340965271, -0.4816146790981293, -0.05962095037102699, 0.19114287197589874, 0.8691686391830444, 0.31630489230155945, 0.36537837982177734, 0.3940412402153015, 0.2051156759262085, -1.6267194747924805, -1.1439154148101807, -1.9729700088500977, -0.6537824273109436, -0.4987963140010834, -1.097716212272644, 0.15524879097938538, -0.17835010588169098, -0.33126920461654663, -0.38274216651916504, 0.6871185302734375, 0.5879865288734436, 0.22672636806964874, 0.7100139260292053, -0.29382044076919556, -0.12123019248247147, -1.245402216911316, 0.20704545080661774, -0.5006875991821289, -0.048335641622543335, 0.5738732814788818, -1.3335872888565063, -0.3850628137588501, 0.1093890592455864, -0.06330811977386475, 0.30751660466194153, 0.28859126567840576, 0.8590381741523743, -0.20451384782791138, 0.3231687545776367, 1.1597874164581299, -0.10304081439971924, -0.25740641355514526, -1.0599150657653809, -2.3245272636413574, -0.6700311303138733, -0.3161560297012329, 0.24687284231185913, -0.028637206181883812, 0.42250901460647583, 0.1591787338256836, 0.13436976075172424, -0.0300325658172369, 0.2887382507324219, 1.0388245582580566, 0.3574414849281311, -0.07268394529819489, -0.9316812753677368, 0.45052555203437805, -0.329353928565979, 1.5613436698913574, 0.8204647302627563, 0.9978561997413635, 0.23999130725860596, 0.05869898200035095, -0.8709433078765869, 1.4495068788528442, 0.6872385144233704, -1.7890018224716187, 0.3099803924560547, -1.768847107887268, -0.3302188217639923, 0.19033707678318024, 0.6695632338523865, 0.4891227185726166, -1.7656859159469604, 0.4519447982311249, -2.4735283851623535, -0.4087148606777191, -0.870475172996521, 0.05091860517859459, 0.8612421751022339, -0.22375832498073578, -5.399489402770996, -0.49271032214164734, -0.5547650456428528, -1.0192363262176514, 0.05752628669142723, -0.8552078604698181, 0.2238200455904007, 0.1347639560699463, -0.3675016760826111, 0.2742708921432495, 1.2469125986099243, -0.07328277826309204, -1.2229961156845093, -0.4634062349796295, -0.38303881883621216, -0.5769549012184143, 0.1351565718650818, -0.03564075008034706, -0.6806290149688721, 1.017473816871643, 0.5134232044219971, -1.3535984754562378, 0.6265886425971985, -0.39299097657203674, 1.3118021488189697, 0.32280662655830383, -0.22673672437667847, -0.18074408173561096, -0.3756425678730011, -0.8058334589004517, 0.38565897941589355, 1.0606443881988525, -0.3810513913631439, -0.12603646516799927, -0.3771677017211914, 1.345875859260559, 1.550317645072937, -0.7906509041786194, 0.5446237921714783, -1.3873130083084106, -0.09080839157104492, -1.4694247245788574, -0.9570794701576233, -1.0818408727645874, 0.9681878685951233, 0.27887627482414246, 0.8714975118637085, -1.1604665517807007, 0.49219462275505066, -0.4625406563282013, 1.0463430881500244, 0.8215538859367371, 1.2312946319580078, 0.48020750284194946, 0.27962586283683777, 0.4143800139427185, -2.342912435531616, -0.4174878001213074, -0.3599991798400879, 0.3226539194583893, 0.4317733943462372, 0.4817666709423065, 0.5157217383384705, -0.11330986022949219, -0.5813177824020386, -0.26036328077316284, -0.9020620584487915, 0.6768527626991272, -0.10821323096752167, -0.7346137166023254, -0.7128156423568726, -1.7851141691207886, -0.1363345831632614, 0.7096976637840271, 0.04115455225110054, -0.2844517230987549, 0.22211956977844238, 0.34632444381713867, -0.24787527322769165, 0.4941460192203522, 1.2050650119781494, -0.1145699992775917, 0.421723335981369, 0.14262636005878448, -0.36590680480003357, -0.6329153776168823, -0.7900316715240479, -0.2762199938297272, 0.24932333827018738, -0.2624671459197998, -0.45460227131843567, 0.16987614333629608, 0.39385807514190674, -0.38895201683044434, 1.1652334928512573, 0.06598294526338577, 1.557275414466858, -0.8582490682601929, 0.04364054650068283, -0.23699210584163666, 0.04630080610513687, -0.17577309906482697, -1.5846689939498901, 1.2376140356063843, 0.020984334871172905, 0.07047460973262787, -2.002794027328491, 0.8849341869354248, -0.6369301080703735, -0.41224443912506104, -0.08178659528493881, -0.37613600492477417, -0.7313425540924072, 0.16104020178318024, 0.032382041215896606, 0.54329514503479, 0.1593014895915985, 0.285672664642334, 0.2655155658721924, 0.821050763130188, -1.8055360317230225, -0.5183013081550598, -0.32125070691108704, 1.530461311340332, 0.9014822840690613, -0.25882360339164734, 0.6790645718574524, 0.48138871788978577, -0.29104429483413696, -0.1371191293001175, 1.1604863405227661, -1.0111351013183594, -0.026475315913558006, 0.3716777563095093, 0.32337865233421326, -1.4083585739135742, -0.2856559157371521, -1.2340863943099976, -0.13580624759197235, 1.7709237337112427, 0.29697486758232117, 0.8907526135444641, -0.5783318877220154, 1.3432377576828003, -0.35677817463874817, 0.04377514868974686, 1.026874303817749, 0.1647554337978363, -1.0282939672470093, 0.16436685621738434, 0.34184613823890686, -0.5901155471801758, -0.3188982307910919, 1.366312861442566, -0.19724684953689575, 0.6407546997070312, -0.2545233368873596, 0.06950433552265167, -0.34932684898376465, -1.2121129035949707, 0.3684554994106293, -0.4894837737083435, -0.6812620759010315, -0.3483600914478302, -1.0313162803649902, -0.7721522450447083, -0.9357103109359741, 0.07052168995141983, -0.4260422885417938, -0.3645610511302948, 0.04000839218497276, 0.8092334270477295, -0.3313949406147003, -0.8069415092468262, 0.4403736889362335, -1.3893004655838013, -0.17474450170993805, 1.1578238010406494, -0.780284583568573, -0.9199312329292297, -0.6460983157157898, 0.31687721610069275, -0.2564568817615509, 1.5934770107269287, 0.21779198944568634, 0.19866551458835602, -0.6421819925308228, -0.4896807372570038, 1.0006881952285767, -0.23229223489761353, -0.7515469789505005, 0.1629655659198761, 0.1569156050682068, -0.48679813742637634, -0.08870004117488861, 0.3627222180366516, 0.4988952577114105, -0.4981108605861664, -0.3064565360546112, 0.7029253840446472, -0.8117671012878418, 1.1723870038986206, -0.8806571960449219, -0.6498507857322693, 0.7725919485092163, 0.22510823607444763, 0.2300157994031906, -0.17189477384090424, -1.3468506336212158, -0.13080066442489624, 0.9886444211006165, -1.035833716392517 ]
147
0704.0149
Eric Gourgoulhon
Eric Gourgoulhon (LUTH, CNRS / Observatoire de Paris / Univ. Paris 7)
Construction of initial data for 3+1 numerical relativity
Minor modifications, updated references, 28 pages, 5 figures, contribution to the Proceedings of the VII Mexican School on Gravitation and Mathematical Physics, held in Playa del Carmen, Mexico (Nov. 26 - Dec. 2, 2006), Journal of Physics: Conference Series, in press
J.Phys.Conf.Ser.91:012001,2007
10.1088/1742-6596/91/1/012001
null
gr-qc
null
This lecture is devoted to the problem of computing initial data for the Cauchy problem of 3+1 general relativity. The main task is to solve the constraint equations. The conformal technique, introduced by Lichnerowicz and enhanced by York, is presented. Two standard methods, the conformal transverse-traceless one and the conformal thin sandwich, are discussed and illustrated by some simple examples. Finally a short review regarding initial data for binary systems (black holes and neutron stars) is given.
[ { "created": "Mon, 2 Apr 2007 09:16:14 GMT", "version": "v1" }, { "created": "Wed, 7 Nov 2007 09:42:19 GMT", "version": "v2" } ]
2008-11-26
[ [ "Gourgoulhon", "Eric", "", "LUTH, CNRS / Observatoire de Paris / Univ. Paris 7" ] ]
07
[ -0.25193509459495544, 0.07768023014068604, -0.7373488545417786, -0.3201635777950287, -0.7875253558158875, 0.06354640424251556, 0.4544660449028015, 0.18071261048316956, -0.7798724174499512, -0.9702309966087341, -0.6373028755187988, 0.8552000522613525, 0.07149908691644669, 0.5776202082633972, -0.9262189865112305, -0.08673200011253357, -0.2890660762786865, -0.48203107714653015, 0.15102583169937134, 0.5088881254196167, -0.13539019227027893, -0.3126612901687622, 0.3476869463920593, 0.4317154586315155, 0.2143588364124298, -0.2928900718688965, 1.0342357158660889, 1.1440767049789429, -0.13404293358325958, 0.22888925671577454, -1.0432604551315308, 0.711024284362793, -0.33010610938072205, 1.5743390321731567, -0.3293112516403198, 1.190295934677124, 0.29503875970840454, -0.006422574166208506, -0.5072330832481384, -0.451948881149292, -1.0710995197296143, -0.5221816897392273, 0.28090718388557434, -0.04202602058649063, 0.30357474088668823, -2.064784288406372, 0.2677247226238251, 0.4212140440940857, -0.06931699067354202, 1.9304224252700806, 0.0006928820512257516, 0.7527508735656738, 1.6989842653274536, 0.5045381188392639, -0.9757874608039856, 0.6905336976051331, 0.8654987812042236, -0.26648661494255066, 0.7455199956893921, -0.512287437915802, 0.22143931686878204, -0.6815582513809204, -0.03712093085050583, 1.2140392065048218, -0.6163302659988403, -0.6423798203468323, 0.24626022577285767, 1.4441486597061157, 0.5734564065933228, 1.460845947265625, -0.24295082688331604, -0.35688942670822144, -0.08118701726198196, 0.4057697653770447, -0.4546450078487396, 0.3495617210865021, 0.4828135371208191, 0.7364972233772278, 0.5257971882820129, -0.9434000849723816, 1.0149827003479004, 0.7408410310745239, -0.7805855870246887, 0.27886414527893066, -0.25328418612480164, 0.09990044683218002, -0.25168654322624207, 0.6287445425987244, -1.3206486701965332, 0.19245675206184387, -0.8698366284370422, -0.6629451513290405, 0.02282092347741127, 0.5737879276275635, 0.005474247969686985, 0.3420505225658417, -0.5494235157966614, 0.9712749123573303, -0.09227166324853897, 0.14984963834285736, -0.24235622584819794, -0.7375084757804871, -0.10439275205135345, 0.19275589287281036, -0.08359043300151825, 0.3870665729045868, -0.2174506038427353, -0.1312216818332672, -0.14697135984897614, -0.11609796434640884, -0.07405200600624084, -0.5694329142570496, 0.37119412422180176, -0.10114035755395889, -1.0221806764602661, 0.28963226079940796, -0.7444633841514587, 0.8224701881408691, -0.5611295104026794, -0.07344852387905121, 0.7494860291481018, 0.12753111124038696, -1.6426159143447876, -1.4909141063690186, 0.9138423204421997, -0.8694990277290344, 0.2573610246181488, -0.770897388458252, 0.5171819925308228, 0.3530697524547577, -0.7419248223304749, -0.8611395955085754, 1.2026944160461426, 0.37852373719215393, 0.5923972129821777, -1.5195214748382568, -0.4424767792224884, -0.8923873901367188, -0.05474969372153282, 0.07212423533201218, 1.8418289422988892, -0.3040349781513214, -0.18406856060028076, 0.34405049681663513, 0.3841523230075836, 0.4734020531177521, 0.9540642499923706, 1.0906996726989746, 1.295708417892456, 0.6091908812522888, 0.08395756036043167, -0.9740615487098694, 0.1013914942741394, 1.0453044176101685, 0.030687762424349785, -0.9607813954353333, -1.6882867813110352, -0.8706867694854736, -1.074648380279541, 0.2139636129140854, 0.22509372234344482, -0.9118353724479675, -0.13860876858234406, -0.8494154810905457, -0.6470275521278381, 0.5995163321495056, 0.3268790543079376, -1.0427716970443726, -0.5567295551300049, -0.05619429796934128, 0.4242206811904907, -0.5233904719352722, -0.03138965740799904, -0.6722495555877686, -0.18533684313297272, 0.7178683280944824, 0.3894405663013458, -0.74610835313797, -0.5114358067512512, 0.1505121886730194, 0.616767168045044, 0.12154590338468552, 0.32271018624305725, -0.8157160878181458, -0.08719997107982635, 0.4557484984397888, 0.633682906627655, -0.7054996490478516, 0.12314803898334503, -0.18878786265850067, 0.7012002468109131, 0.5525949597358704, 0.9146500825881958, -0.041949257254600525, 0.08289747685194016, 1.156604290008545, -2.0310211181640625, 0.2898094654083252, 0.5306106209754944, -0.582608163356781, -0.08108974993228912, 0.4199473559856415, -0.7028744220733643, 0.3329414129257202, -3.132521390914917, 0.11611373722553253, 0.8122844696044922, -0.9587799906730652, 0.2557307481765747, -0.030754582956433296, -0.7239903807640076, 0.404847651720047, -0.392050564289093, -0.5140777826309204, 0.6034479141235352, -1.304540991783142, 0.16609954833984375, 0.24369169771671295, -0.6672543883323669, 0.8077869415283203, 0.1963314414024353, 0.6856793165206909, 0.8225398063659668, 0.3533703088760376, -1.288997769355774, -0.27389851212501526, 1.4505969285964966, -0.4605850875377655, -0.40765079855918884, -0.47954681515693665, -0.9437613487243652, -0.6228790879249573, -0.8496717810630798, -1.1517797708511353, -1.3500608205795288, 1.386306643486023, -0.7664322257041931, 0.24422475695610046, 0.5753350853919983, 0.296271413564682, -0.5505470633506775, 0.7235890626907349, -0.2583228349685669, -0.6505820751190186, -0.825402021408081, 0.20069123804569244, 0.2650992274284363, -0.5747416019439697, 1.0116647481918335, 0.10818035900592804, -0.1265806406736374, -0.6267648935317993, 0.2090493142604828, -0.013850104063749313, -0.13868975639343262, 0.2988395392894745, -0.6655099987983704, -0.6168830394744873, -1.9524917602539062, 0.5734696984291077, -0.7947552800178528, 0.33611002564430237, -0.07289688289165497, 0.9920530319213867, -0.07081250846385956, -1.8534739017486572, 0.38046392798423767, 0.19301924109458923, 0.4226096570491791, -0.8027390837669373, -1.7828267812728882, -0.23733872175216675, 0.9360671043395996, 0.28344783186912537, 0.674461305141449, -0.12290222942829132, 0.860446035861969, -1.2117791175842285, 0.11490251868963242, -0.13363592326641083, 0.9463374018669128, 0.20876438915729523, 0.0614897757768631, 1.1301047801971436, 0.3550832271575928, -0.9186368584632874, -0.20643901824951172, 0.7405369281768799, 0.739412784576416, -0.9058548808097839, 0.9062870144844055, -0.7527241110801697, -0.6655020713806152, 0.3676010072231293, -0.4903978109359741, -1.0375458002090454, -0.2929830551147461, -0.8236245512962341, 0.6027275919914246, 0.6435666084289551, 0.4038393199443817, 1.0504461526870728, -0.11339160799980164, -0.3152059018611908, -0.26347967982292175, -1.1957945823669434, -1.0916597843170166, 0.20508192479610443, -0.0777662843465805, 0.31308141350746155, -0.35477888584136963, -0.06915398687124252, -1.4515571594238281, -0.5059956908226013, 0.6061016321182251, -1.2401210069656372, -0.7033894658088684, 0.04578470066189766, -0.1620970219373703, 0.5152539014816284, -0.44289109110832214, -0.2824423909187317, -0.7264099717140198, 1.0400134325027466, -1.5695502758026123, -0.6209786534309387, 0.4007057249546051, 0.06397669017314911, 0.31781619787216187, 0.006331385113298893, -0.4817943274974823, 0.5738094449043274, -0.6859340071678162, 0.37515968084335327, -0.309474915266037, -0.13076399266719818, -0.3858674466609955, -0.08010338991880417, -0.5447964072227478, -0.4834922254085541, 0.37719762325286865, 1.7291535139083862, -0.8927655220031738, 0.21850508451461792, -0.647650420665741, 0.3662370443344116, 0.5136181116104126, -0.7222615480422974, -1.081493616104126, 0.10860533267259598, 0.14307478070259094, 0.38428547978401184, -1.4908853769302368, 1.2532628774642944, 0.2562250792980194, -0.5245881080627441, 0.4951854646205902, 1.6952109336853027, 0.15902914106845856, 0.43922075629234314, -0.5823518633842468, -1.9415512084960938, 0.3472791016101837, -0.7286632061004639, 0.013672510161995888, -0.5973128080368042, 0.020360328257083893, -0.17183490097522736, 0.32713887095451355, 0.2112177610397339, -0.24451066553592682, -0.7671822905540466, -0.124976247549057, -0.4615418016910553, -0.5550161600112915, 1.147451639175415, 0.8184150457382202, -0.7405709028244019, 0.9259348511695862, 0.49934783577919006, -0.5869847536087036, 0.2014940232038498, 0.13970153033733368, -0.392530620098114, 0.23002693057060242, 1.0337855815887451, 0.8258916735649109, 0.7381836771965027, -0.6157414317131042, -0.014584074728190899, -0.7813462615013123, -0.06376893818378448, 0.6451675891876221, -0.43236514925956726, -0.5346754789352417, -0.08472245931625366, -1.0888124704360962, -1.3099740743637085, 0.5960740447044373, -0.05644407123327255, 0.7287300825119019, 0.42853015661239624, -0.4488784074783325, -0.7034018039703369, -0.9407208561897278, -0.26785966753959656, -0.28275832533836365, 0.8014473915100098, 0.21019582450389862, 0.3679203689098358, -0.8602858185768127, -0.06923655420541763, 0.11845806241035461, -0.3098281919956207, 0.47554904222488403, -0.5268301963806152, -0.14124347269535065, 0.35765528678894043, 0.032696500420570374, -1.0911837816238403, 0.9066841006278992, -1.0555384159088135, 0.33626171946525574, 0.3459390699863434, -0.23310624063014984, -0.21620212495326996, -0.06321663409471512, -0.5666671991348267, -0.6338428258895874, 1.142074465751648, 0.4825805425643921, -0.6097645163536072, 0.9761747121810913, 0.30286991596221924, 0.013234050944447517, -1.1438969373703003, -0.42058324813842773, 1.1034841537475586, 0.061751145869493484, -1.1714411973953247, -0.6490346789360046, 0.16006681323051453, -0.8983396887779236, 0.33090054988861084, 0.022685520350933075, 1.480873942375183, -0.4569226801395416, 0.3873055875301361, -0.7388922572135925, 0.5819888710975647, 0.1848188042640686, -0.09594742208719254, 0.3014354407787323, -0.18843570351600647, -0.2449159324169159, -0.3364919126033783, -0.0026037415955215693, 0.7425626516342163, -0.6487449407577515, -0.7237457633018494, -2.1147162914276123, -0.09627480059862137, -0.14006808400154114, -0.6892426013946533, 0.11952096968889236, -0.5573910474777222, -0.20585541427135468, -0.6887888312339783, 0.45740166306495667, 0.1089848130941391, 1.2061100006103516, -0.47992631793022156, -0.758848249912262, -0.45033153891563416, -0.6047909259796143, -0.11621744930744171, 0.8248001933097839, -0.04460493475198746, 1.2356891632080078, 0.8211313486099243, 1.7960604429244995, 1.3720295429229736, -0.19566690921783447, 1.1822357177734375, 0.2412988245487213, 1.1244620084762573, -1.0260024070739746, 0.19578252732753754, -0.37912943959236145, -0.08068585395812988, 0.44368886947631836, -0.7694566249847412, 1.1633282899856567, -0.8934544920921326, -0.31742265820503235, -0.5164579749107361, -0.20008185505867004, 0.0346260704100132, 0.045789919793605804, 1.0573797225952148, 0.4276013970375061, -0.43017953634262085, -0.34766826033592224, -1.7194585800170898, -0.5778138041496277, -0.2780565321445465, -0.10772053152322769, 1.0182647705078125, -0.024748532101511955, 0.3062427341938019, -0.44012781977653503, 0.2193785160779953, 0.7845555543899536, 0.5946186780929565, 0.2678467035293579, 0.42113834619522095, 0.839806854724884, -3.0838749408721924, 0.697200357913971, -0.34189337491989136, 0.3431430160999298, 0.03880373388528824, -0.4133017063140869, -1.4799432754516602, -0.3448975086212158, 0.2566797435283661, 0.9014471769332886, 1.104750633239746, -0.8549947738647461, 1.0587022304534912, -0.21960996091365814, -0.8082082867622375, -0.2867577075958252, -1.11483895778656, 0.046925030648708344, -0.6466384530067444, 0.35726842284202576, -1.2881046533584595, -0.5345292687416077, 0.1110747680068016, -0.13517680764198303, 0.8012476563453674, -0.5553550124168396, -0.32199373841285706, 0.5786791443824768, -0.8926065564155579, 0.05088195949792862, -0.35051462054252625, -0.31973040103912354, 0.02483106218278408, -0.9068613648414612, -0.7047877311706543, -0.3781385123729706, 0.5978845953941345, -0.670685350894928, 0.11050630360841751, -8.51652717590332, -0.12651081383228302, 0.7316286563873291, -0.0776982381939888, 0.3879607617855072, -0.6472193598747253, -0.9892683029174805, -0.7221535444259644, -0.036329980939626694, 0.4644957482814789, -0.9937886595726013, 0.1572456806898117, -0.11107385903596878, -1.2059446573257446, 1.5976815223693848, -0.2057599425315857, 0.18481136858463287, -0.31653207540512085, -0.8429570198059082, -0.5053624510765076, -1.1593912839889526, 0.3237704336643219, -0.0698680654168129, -0.718029260635376, -0.20287933945655823, 0.12193218618631363, 0.21740227937698364, -0.4472411870956421, -0.20342013239860535, 0.7673923969268799, -0.17154063284397125, 0.8901118636131287, -0.5571893453598022, 0.49460774660110474, 0.5743598937988281, -1.8118419647216797, -0.07882270216941833, 1.643699049949646, -0.3771344721317291, -1.741027593612671, 0.25169801712036133, 0.555151104927063, 1.0949139595031738, 0.1704980731010437, 0.454042911529541, 1.2358046770095825, -0.659767210483551, 0.07275635004043579, 0.1198471188545227, -1.0028448104858398, -0.6961881518363953, -0.4280633330345154, 1.011547327041626, -0.6797569990158081, 0.1840493232011795, 0.7563318610191345, 0.50938880443573, -0.24551153182983398, -0.10843324661254883, -0.651365339756012, -0.4412584900856018, -0.5134605765342712, -0.7396730184555054, 0.7379243969917297, 0.5376513004302979, -0.40524861216545105, 0.5738306641578674, -0.1192946583032608, 0.15413828194141388, 0.542032778263092, -0.43567797541618347, -0.5332934856414795, 0.16849403083324432, -0.08120867609977722, 0.1572721153497696, 0.023635050281882286, -0.49983111023902893, 1.0228124856948853, -1.0311450958251953, 0.67507404088974, -0.35112306475639343, 1.2352371215820312, 0.8819011449813843, 0.6865668892860413, 0.3146977126598358, -0.7692064642906189, 0.226549431681633, 0.6565519571304321, 1.1300023794174194, -0.2248060405254364, 0.7697104811668396, 0.24632640182971954, -0.22040048241615295, -0.05193202942609787, -1.0307098627090454, -0.21818378567695618, -0.7182695865631104, 0.18411658704280853, -1.0753542184829712, -0.15851590037345886, 0.12817054986953735, -0.36445701122283936, 1.5841530561447144, 0.7680127024650574, 0.2432565540075302, 0.24393287301063538, -1.2206103801727295, -0.4884312152862549, -0.5190151333808899, -0.49902182817459106, 0.15848314762115479, 0.8238461017608643, -0.9752099514007568, 0.321906179189682, 0.5871350765228271, 0.8214725255966187, 0.4641088843345642, 0.3733500838279724, 0.015413140878081322, -0.3803183436393738, 0.2387649416923523, 0.636789083480835, -0.49069491028785706, -0.26355379819869995, -0.2679186463356018, -0.7793476581573486, -0.157430037856102, -1.049141526222229, 0.19729577004909515, -0.0014379383064806461, 0.09071531146764755, -1.2515859603881836, -0.23033852875232697, 0.68115234375, 0.439059853553772, -0.16597819328308105, 0.11525750160217285, 1.0176235437393188, -0.0868595764040947, 0.9094937443733215, 0.2614595293998718, -0.06589797139167786, 0.6336406469345093, -0.264769583940506, 0.6916405558586121, 0.5435665249824524, 0.4784228503704071, -0.3769233822822571, -0.8207836151123047, -0.6234278082847595, 1.1512105464935303, -0.07694978266954422, 1.0629576444625854, 1.321876883506775, -0.48957109451293945, -0.9019755721092224, -0.10841498523950577, -0.22607514262199402, -0.21678873896598816, -0.6573095917701721, -0.36366090178489685, 0.5318579077720642, 0.5297777056694031, 1.4957144260406494, 0.28064393997192383, -0.7985479831695557, 0.29239746928215027, 0.7775653600692749, -0.33527547121047974, 0.8589357137680054, 0.5676745772361755, 0.4001774191856384, -0.6033114194869995, -0.18653413653373718, -0.211665078997612, 0.06807789206504822, -0.24449534714221954, 0.33452078700065613, 0.5238909721374512, -1.013933777809143, -0.8609393835067749, -0.17608077824115753, -0.1802246868610382, -0.3013548254966736, -0.2642132043838501, 1.1444239616394043, -0.5570457577705383, -0.5090315937995911, 1.4100818634033203, 0.9081978797912598, -0.28286200761795044, 0.13172182440757751, -1.1079591512680054, 0.5571835041046143, 0.9093401432037354, 0.30310049653053284, -0.0069689382798969746, 0.3911476731300354, -0.19895832240581512, -1.3024429082870483, 0.4533492922782898, 0.9127593040466309, 1.2730282545089722, 0.5986894369125366, -1.620769739151001, -0.342095285654068, -0.3499310314655304, 0.08329442143440247, 1.1039305925369263, -0.5513409972190857, -1.6425024271011353, -0.753436267375946 ]
148
0704.0150
Bo Gu
Bo Gu and Gang Su
Magnetism and Thermodynamics of Spin-1/2 Heisenberg Diamond Chains in a Magnetic Field
18 pages, 20 figures, to be published in Phys. Rev. B
Phys. Rev. B 75, 174437 (2007)
10.1103/PhysRevB.75.174437
null
cond-mat.str-el
null
The magnetic and thermodynamic properties of spin-1/2 Heisenberg diamond chains are investigated in three different cases: (a) J1, J2, J3>0 (frustrated); (b) J1, J3<0, J2>0 (frustrated); and (c) J1, J2>0, J3<0 (non-frustrated). The density matrix renormalization group (DMRG) technique is invoked to study the properties of the system in the ground state, while the transfer matrix renormalization group (TMRG) technique is applied to explore the thermodynamic properties. The local magnetic moments, spin correlation functions, and static structure factors are discussed in the ground state for the three cases. It is shown that the static structure factor S(q) shows peaks at wavevectors $q=a\pi /3$ (a=0,1,2,3,4,5) for different couplings in a zero magnetic field, which, however in the magnetic fields where the magnetization plateau with m=1/6 pertains, exhibits the peaks only at q=0, $2\pi /3$ and $4\pi /3$, which are found to be couplings-independent. The DMRG results of the zero-field static structure factor can be nicely fitted by a linear superposition of six modes, where two fitting equations are proposed. It is observed that the six modes are closely related to the low-lying excitations of the system. At finite temperatures, the double-peak structures of the susceptibility and specific heat against temperature are obtained, where the peak positions and heights are found to depend on the competition of the couplings. It is also uncovered that the XXZ anisotropy of F and AF couplings leads the system of case (c) to display quite different behaviors. In addition, the experimental data of the susceptibility, specific heat and magnetization for the compound Cu$_{3}$(CO$_{3}$)$_{2}$(OH)$_{2}$ are fairly compared with our TMRG results.
[ { "created": "Mon, 2 Apr 2007 09:16:44 GMT", "version": "v1" } ]
2009-11-13
[ [ "Gu", "Bo", "" ], [ "Su", "Gang", "" ] ]
07
[ -0.8263303637504578, 0.11861398816108704, 0.09099423140287399, 0.19989241659641266, -0.49668997526168823, 0.25503405928611755, -0.3237040042877197, -0.9861459732055664, 0.16546091437339783, -0.05809995159506798, -1.1766966581344604, 0.16219259798526764, -0.20893126726150513, 1.1449834108352661, 0.0829099640250206, 0.3643064796924591, -0.5810535550117493, 1.4574276208877563, 0.41601234674453735, 0.017300263047218323, 0.4710158407688141, 0.510689914226532, -0.4663158059120178, -0.8593358397483826, -0.7809745073318481, 0.5548170208930969, -0.1375991851091385, 0.241017147898674, -0.29225295782089233, -0.12484027445316315, 0.8932270407676697, 0.39685964584350586, 0.45570066571235657, 0.6611664891242981, -0.48073312640190125, -1.0978012084960938, 0.29828205704689026, -0.17106814682483673, -0.9504475593566895, 0.0034298435784876347, 0.47980576753616333, -0.8884265422821045, -0.9209709167480469, -0.5175935626029968, -1.3621344566345215, -0.2862851023674011, -0.45077723264694214, -3.0490243434906006, -0.6689062118530273, 0.002069332869723439, 0.03352773189544678, -0.298509806394577, -0.6780919432640076, -1.2917273044586182, -0.6783432960510254, 0.8644298911094666, -0.6711242198944092, 0.3771246671676636, 1.0073283910751343, -0.18433578312397003, -0.46263980865478516, 0.6509784460067749, -0.32045426964759827, 0.883802592754364, 0.4032568335533142, 0.5902904868125916, 0.08929719775915146, -0.14776021242141724, 0.29808226227760315, 0.011461040005087852, -0.4231061339378357, -1.019294023513794, -1.3656498193740845, -0.6567398905754089, 1.022709846496582, 0.012395200319588184, -1.1754766702651978, 0.19048292934894562, 0.9042698740959167, 0.7761645913124084, 0.5553511381149292, 0.9375502467155457, -0.17037801444530487, 0.3601533770561218, 0.216742604970932, 0.6507161855697632, 0.8215697407722473, 1.099887728691101, -0.7632364630699158, -0.9893943071365356, -0.20783056318759918, -1.2586578130722046, 0.9034075736999512, 0.6187257766723633, -0.07860604673624039, 0.46392133831977844, 0.02589021436870098, 0.300813227891922, -0.09158870577812195, 0.5375140309333801, -0.731293261051178, 0.41825777292251587, -0.14913354814052582, -0.6442857384681702, 0.03402049466967583, 0.4923005998134613, 0.2137044072151184, -2.357882022857666, -0.2195858508348465, 0.45724382996559143, -0.1348242163658142, -0.9087767601013184, -0.3238561749458313, -0.14988701045513153, 0.05365131422877312, 0.5738095641136169, 0.2760326564311981, 0.1904437243938446, 0.8078244924545288, 0.9552284479141235, -0.3203997313976288, -0.33716991543769836, 1.6073877811431885, -0.8766990303993225, 0.2788010239601135, 0.1277388334274292, 0.1337326467037201, -0.01488230749964714, -0.11787588149309158, -0.9599013924598694, -0.06118439510464668, -0.9692468643188477, 0.5587931871414185, -0.02387809008359909, -0.8155522346496582, 1.7229673862457275, 0.9802599549293518, -0.07987184822559357, 0.6433606147766113, -0.6372572183609009, 0.16541078686714172, -0.7024272680282593, -0.29130685329437256, -0.7568672299385071, -0.41199907660484314, -1.7881041765213013, -0.2144404649734497, -0.5438696146011353, 1.0092148780822754, -0.17358818650245667, 0.6345239281654358, 0.12433330714702606, 1.0480868816375732, -0.3659072816371918, -0.10670483857393265, -0.15637226402759552, 1.3641990423202515, 1.5282256603240967, -0.5768080949783325, 1.6794296503067017, 0.6290403604507446, -0.636231005191803, 0.21239836513996124, -1.0626118183135986, -0.0981907919049263, 0.3407173752784729, 0.09995019435882568, 0.17080938816070557, -0.23493783175945282, -0.20074500143527985, 1.3210755586624146, -0.08703819662332535, 0.024020157754421234, 0.7346210479736328, 0.07345341891050339, 0.40663015842437744, 0.019080467522144318, -0.2751582860946655, 0.7972965836524963, 1.2191145420074463, -1.2142971754074097, -0.9325701594352722, -0.16673468053340912, -1.1620562076568604, -0.5642547011375427, 1.1684645414352417, -0.33823516964912415, -1.8347922563552856, -0.8077815771102905, -0.2856673300266266, -0.284053236246109, -0.5287994146347046, -0.8649905323982239, -1.1495990753173828, -0.13309995830059052, 1.6940374374389648, -0.6733117699623108, 0.9935147166252136, 0.12359940260648727, -0.8151389360427856, 0.7887206673622131, 0.6986418962478638, 0.13670353591442108, 0.08627370744943619, -1.2783255577087402, 0.006002701818943024, 0.18323729932308197, -0.49238279461860657, -0.8295828700065613, 0.5032415390014648, 0.2714189887046814, -0.04049991816282272, -1.02973210811615, -0.3947053849697113, 0.6158725023269653, -1.710167407989502, -0.6400986909866333, 0.7142321467399597, 1.3785957098007202, -0.5515634417533875, 0.20009376108646393, 0.03846055269241333, -0.5500102639198303, 0.791595458984375, 0.46340468525886536, -0.17670020461082458, -0.5700885057449341, -0.08895033597946167, -0.3104376792907715, -0.6581344604492188, 0.7312517166137695, -0.34689754247665405, 0.1366904079914093, -0.13758426904678345, 0.5202789306640625, 0.7426522970199585, 0.2611739933490753, -0.7194925546646118, 0.7198985815048218, -0.2725364863872528, -0.08768775314092636, 0.34290996193885803, 1.4009582996368408, -1.1451555490493774, -0.7383604049682617, -0.7095918655395508, 0.649182140827179, 0.8795105814933777, -1.0708558559417725, 0.8260387778282166, -2.0032925605773926, 0.5553561449050903, 0.12218615412712097, -0.27120012044906616, -0.20634938776493073, 0.9257108569145203, -0.38367611169815063, -1.2773982286453247, -0.18670083582401276, -0.07615648210048676, 0.8110819458961487, -0.9818428754806519, 1.1403496265411377, -0.07591021060943604, -0.36517226696014404, -0.611184298992157, 0.23846352100372314, 0.043945662677288055, -0.7241570353507996, -0.23825712502002716, -0.12169565260410309, 0.5142278671264648, -0.8688461780548096, 0.15601275861263275, -0.1778484582901001, -0.4712163805961609, -0.5839971899986267, -1.6596629619598389, 0.5861987471580505, 0.5483354926109314, 0.8859516382217407, 0.5396102666854858, 0.32229870557785034, 0.5027719140052795, -1.2791180610656738, 0.5815264582633972, 0.4821891784667969, -0.23346474766731262, 0.7606821060180664, 0.4488149881362915, -1.190209984779358, 0.07178063690662384, 1.1809720993041992, -0.13826698064804077, -1.0576318502426147, -0.5709746479988098, 0.15883983671665192, -1.261160969734192, 0.08460351079702377, 0.5767700672149658, 0.14626695215702057, 1.2587605714797974, 0.484296053647995, -0.21144063770771027, 0.5296897888183594, -0.5772000551223755, -0.8919567465782166, -0.7301012277603149, -0.7291004657745361, -0.43705466389656067, -0.06300901621580124, 0.13384942710399628, 0.1963561773300171, 0.07069064676761627, 0.3754192590713501, -1.5745131969451904, -0.5074692964553833, 0.7085830569267273, -0.47714322805404663, 0.08334749191999435, 0.1983965039253235, 0.5787908434867859, -0.27410346269607544, 1.9228862524032593, -1.0196659564971924, -0.381661593914032, -0.25861796736717224, -0.5094378590583801, 0.6485345959663391, 1.0655834674835205, -1.089544653892517, 0.23987741768360138, -1.2492810487747192, 0.08670641481876373, 0.850968599319458, -0.15305130183696747, 0.4390018582344055, 0.41462135314941406, 1.400288701057434, 0.08137203752994537, -0.3380235731601715, -0.28207966685295105, 0.20352956652641296, -1.0735902786254883, -1.4252116680145264, -0.1676875799894333, 0.10412811487913132, 0.5264434218406677, -0.6276916861534119, 0.7608876824378967, -0.6994040012359619, -1.282272219657898, 0.57110995054245, -0.2835482954978943, 0.010328898206353188, 0.23565766215324402, 0.4707970917224884, 0.48007676005363464, 0.20474041998386383, -0.7202838063240051, -0.13124091923236847, -0.3717447817325592, 0.9524908065795898, -0.5878257155418396, 0.013375085778534412, -1.2376906871795654, -0.6404625177383423, 0.3190196752548218, -0.31863564252853394, -0.26315295696258545, -1.1061795949935913, -0.3134304881095886, 0.7657063007354736, 0.4639248251914978, -0.7025249600410461, -0.5707240700721741, -0.7166607975959778, 0.720369815826416, 0.7905545234680176, -0.3738628923892975, 0.48438262939453125, -0.5650508403778076, 1.256530523300171, -0.15773926675319672, 1.058127522468567, -1.288887619972229, -0.33593860268592834, -0.4639323949813843, -0.7407888174057007, 0.18292583525180817, -0.6922419667243958, 0.6996415853500366, 0.7389774322509766, 0.48399588465690613, -0.6189914345741272, -0.12129265815019608, -0.9270889163017273, -0.3319592773914337, 0.20658054947853088, 0.5365480184555054, 0.33182334899902344, -0.9003710150718689, -1.0761910676956177, 0.5944207310676575, -0.4934971034526825, 1.1817269325256348, 0.48469915986061096, -0.40281057357788086, 0.23686397075653076, 0.4009571075439453, -1.6480529308319092, 0.7402507066726685, 0.9505708813667297, -1.284674882888794, 0.23932158946990967, -0.7912101745605469, 0.9405652284622192, 0.7626976370811462, 0.11951209604740143, 0.41772523522377014, 0.2605610489845276, -0.7577672600746155, -0.3915894329547882, 0.9039372801780701, 0.678274929523468, 0.3244863450527191, 0.031265389174222946, -0.2212243378162384, 0.45650944113731384, -0.636350154876709, 1.532220721244812, 1.3008605241775513, -0.648271381855011, 1.2161543369293213, -0.8166034817695618, -1.0726076364517212, 0.5849699378013611, -0.7799234986305237, 0.16868466138839722, 0.25482457876205444, 0.7787079811096191, 0.9127005934715271, -0.3449738323688507, -0.15058018267154694, -0.09277412295341492, -1.6632343530654907, -0.9999151229858398, 0.19332478940486908, -0.5986992120742798, -0.544294536113739, 0.7438374757766724, -0.6064631938934326, -0.5119404196739197, 0.18436020612716675, -0.290327250957489, -0.6274893879890442, -0.5318472385406494, 1.4794284105300903, 0.7058587670326233, 0.5312903523445129, -1.5626393556594849, -1.6001739501953125, 0.10608869045972824, -1.1062051057815552, -0.9184995293617249, -1.0918411016464233, 0.39973196387290955, 0.19392095506191254, -0.05459443852305412, 0.13274428248405457, 1.1365551948547363, -0.44599711894989014, -0.5779171586036682, 0.019863657653331757, -0.29473769664764404, -0.968713641166687, 0.020972006022930145, 1.3117293119430542, 0.983505129814148, 1.43902587890625, -0.05507529899477959, 0.27273207902908325, -0.9906222820281982, 0.05251065269112587, -1.0017526149749756, 1.0059937238693237, -1.1263896226882935, -0.3690374493598938, -0.037784643471241, 1.3366223573684692, 0.8334490060806274, 0.28320783376693726, 0.22856135666370392, 0.3906109929084778, -0.3438572287559509, 0.7582167387008667, 0.6847661137580872, -0.09328020364046097, -1.041388750076294, -1.0189021825790405, 0.22975178062915802, -0.5614725351333618, -0.26911672949790955, -0.03437323868274689, -1.231431007385254, 0.45676493644714355, -0.023465534672141075, 0.11965395510196686, 0.9878343939781189, 0.6603748202323914, 1.3047250509262085, 0.30535492300987244, -1.0226588249206543, -0.6244926452636719, -0.5682770609855652, -0.8006287813186646, -0.24882711470127106, -2.9648613929748535, 1.189957857131958, 0.17798757553100586, -0.9537867903709412, -0.059759143739938736, 0.7981641888618469, -0.1651904582977295, 0.44799453020095825, 0.382488876581192, -0.6472235321998596, 0.07784809917211533, 0.05697133019566536, 0.6974002718925476, -1.0391113758087158, 0.21852797269821167, -0.2730623781681061, 0.1408485770225525, 1.5562000274658203, 1.352162480354309, 1.3403904438018799, 1.7093974351882935, 0.6925966739654541, 0.6456683874130249, 0.3144496977329254, -1.182328701019287, -0.8162866234779358, -1.020110011100769, -0.5847765803337097, -0.17120806872844696, -0.30608221888542175, 0.5484446883201599, 0.6869889497756958, -0.4737567603588104, -0.5133444666862488, -1.3905547857284546, -1.3812772035598755, 0.36133378744125366, -1.2886656522750854, -0.24784022569656372, -5.975684642791748, -0.3832433223724365, 0.004420003853738308, -0.27254363894462585, 0.5153653025627136, -1.4000481367111206, -0.4261489808559418, -0.3351735472679138, 1.137044072151184, -0.3798485994338989, 0.08610931038856506, 0.159726083278656, -0.48469555377960205, -0.7181904315948486, 1.548577904701233, 0.9871042966842651, 1.8914183378219604, -0.26329946517944336, -0.5347156524658203, -1.1934988498687744, 0.46111997961997986, -0.34242743253707886, -1.1170951128005981, 0.3246455192565918, 0.3989449739456177, 0.49645066261291504, -0.5149812698364258, -1.043051838874817, 0.12535502016544342, 0.24442818760871887, -1.2535221576690674, -0.567976176738739, 1.4809420108795166, 0.11047585308551788, 0.7556725144386292, -0.4666453003883362, -0.3203106224536896, -0.5074037313461304, -1.2554113864898682, 0.32685667276382446, 0.4590691328048706, 0.8550181984901428, -0.028059765696525574, -0.7683609127998352, -0.5653975605964661, -0.06324058771133423, -0.2335708737373352, -1.2490664720535278, -0.26468411087989807, 0.10257825255393982, 0.42363178730010986, 0.6316488981246948, 0.4299713969230652, 0.033542830497026443, -1.328340768814087, 0.8067958950996399, -0.7863867282867432, 0.03206656500697136, -0.3700031042098999, -0.3788236677646637, 0.4090305268764496, 0.02108943648636341, -0.252940833568573, 0.8845120668411255, -2.3977463245391846, 2.081699848175049, 0.33680257201194763, -0.5608924031257629, -0.04385456442832947, 1.1001946926116943, -0.891097366809845, -1.3334325551986694, -0.2847744822502136, 0.908374547958374, -0.4287867844104767, -0.05320855975151062, 1.4782105684280396, -0.2552639842033386, -1.1832672357559204, 1.4905970096588135, -0.3929251730442047, -1.712838053703308, 0.3306522071361542, 1.1317065954208374, 0.3352365791797638, -0.8060018420219421, 0.4135337173938751, -0.0033382901456207037, 0.7437536120414734, -0.20151843130588531, -0.5693946480751038, 0.4388429820537567, 0.6483122706413269, -0.4353528320789337, -0.7125293016433716, 0.6946930289268494, -0.3180769085884094, -0.7595762014389038, -0.10507960617542267, -0.21465322375297546, -0.6668277382850647, -1.0828382968902588, 0.880621612071991, 1.881469488143921, -0.2943326532840729, 0.5936004519462585, -1.3628346920013428, -0.3961864411830902, 0.9123603701591492, 0.6783433556556702, -0.24882392585277557, 0.7607553601264954, 0.6158472299575806, -0.9801017642021179, -0.7307627201080322, 0.7113147377967834, -0.4185459315776825, 0.5916248559951782, 0.47758346796035767, 0.22724829614162445, -0.8224366903305054, 0.3592854142189026, -0.485515832901001, -0.21299432218074799, 0.46303263306617737, 0.3990521728992462, -0.7579808831214905, 0.6848145723342896, -0.925476610660553, 0.11782928556203842, 0.8169788718223572, 0.4898529648780823, 0.5169135332107544, 0.8867220282554626, -0.11035490036010742, -0.33117204904556274, 0.35941773653030396, 0.48368126153945923, 0.7037235498428345, 1.4285428524017334, 1.0349578857421875, 0.31971150636672974, 0.22503548860549927, -0.23307688534259796, -0.7680352926254272, -0.45391353964805603, 0.3000302314758301, 0.8507522940635681, -1.2032073736190796, 0.5718886256217957, 0.39100509881973267, -0.8666269183158875, -0.47842350602149963, 0.5947635769844055, -0.09846241027116776, -1.1031389236450195, -1.1296758651733398, -0.5870286226272583, -0.5567734241485596, -0.20345179736614227, -0.7185128927230835, 0.1247377023100853, 0.9968283772468567, 0.679700493812561, -0.4415335953235626, -0.42704078555107117, -0.06462540477514267, -0.3051043748855591, -0.12371140718460083, -0.6525614857673645, -0.4442773163318634, 0.9389764070510864, -0.7377654314041138, 0.14548377692699432, 0.8534424901008606, 0.7203722596168518, 0.3349857032299042, 0.3761533498764038, 0.3000832796096802, -0.9727516770362854, -1.7062000036239624, -1.001389741897583, 0.02477245032787323, 0.2554208040237427, 0.7818320989608765, 0.4968183636665344, -0.7294428944587708, -2.1377363204956055, 0.08935964852571487, -0.7014273405075073, 0.30482587218284607, -0.19200675189495087, 0.11934845894575119, -0.7778924107551575, -0.3461734652519226, 0.6187928915023804, 0.07377412915229797, -0.02966429479420185, 0.014790800400078297, -1.297910213470459, -0.7476649284362793, 0.49761393666267395, 0.89525306224823, -0.0920839011669159, 0.8966452479362488, 0.04253460094332695, 0.14163637161254883, 0.42035111784935, -0.2666720151901245, -0.1053236871957779, 1.8603976964950562, -0.6182982921600342 ]
149
0704.0151
Igor Grabec
I. Grabec
Extraction of physical laws from joint experimental data
18 pages, 11 eps figures, uses svjour.cls
Eur. Phys. J. - B, 48, 279-289 (2005)
10.1140/epjb/e2005-00391-0
null
physics.data-an physics.comp-ph
null
The extraction of a physical law y=yo(x) from joint experimental data about x and y is treated. The joint, the marginal and the conditional probability density functions (PDF) are expressed by given data over an estimator whose kernel is the instrument scattering function. As an optimal estimator of yo(x) the conditional average is proposed. The analysis of its properties is based upon a new definition of prediction quality. The joint experimental information and the redundancy of joint measurements are expressed by the relative entropy. With the number of experiments the redundancy on average increases, while the experimental information converges to a certain limit value. The difference between this limit value and the experimental information at a finite number of data represents the discrepancy between the experimentally determined and the true properties of the phenomenon. The sum of the discrepancy measure and the redundancy is utilized as a cost function. By its minimum a reasonable number of data for the extraction of the law yo(x) is specified. The mutual information is defined by the marginal and the conditional PDFs of the variables. The ratio between mutual information and marginal information is used to indicate which variable is the independent one. The properties of the introduced statistics are demonstrated on deterministically and randomly related variables.
[ { "created": "Mon, 2 Apr 2007 09:28:28 GMT", "version": "v1" } ]
2007-10-10
[ [ "Grabec", "I.", "" ] ]
07
[ -0.09093666821718216, 0.5145646929740906, 0.3168221116065979, -1.2195019721984863, -0.5590020418167114, -0.27321720123291016, 0.7913638353347778, 0.17011353373527527, -0.17649605870246887, -0.41797417402267456, 0.1622287780046463, -0.7685030698776245, 0.03795574977993965, -0.1787296086549759, -1.640785813331604, 0.3682153820991516, -0.9127201437950134, 0.042735710740089417, 0.2830713093280792, -1.2144633531570435, -0.026788614690303802, -0.8986923098564148, 0.2710570991039276, 1.0409810543060303, -0.0568782240152359, -0.5461952090263367, -0.00750843808054924, 0.43720531463623047, 0.1710418462753296, 0.7778257727622986, 1.6311347484588623, 0.5853273272514343, 0.28177782893180847, 0.5833681225776672, 0.4750076234340668, 1.6687668561935425, 0.7799273729324341, 0.09298793226480484, 0.025451496243476868, -1.4393296241760254, -0.8685211539268494, 0.16518141329288483, 0.14176814258098602, -0.28719770908355713, -0.5294317603111267, -0.5811006426811218, -0.2590063512325287, 1.0762784481048584, 0.2363913655281067, -0.9894651174545288, -0.4350070357322693, -0.8715438842773438, -0.47796231508255005, 0.7357840538024902, 0.5061371922492981, -0.3212524354457855, -0.30429381132125854, -0.46645480394363403, 0.5303510427474976, -0.8196110725402832, 0.016470085829496384, 0.2716497480869293, 0.08996061235666275, 0.4377875030040741, -0.3994047939777374, 0.18885011970996857, 1.0551608800888062, 1.1643648147583008, -0.2823205590248108, -1.0404129028320312, -0.2231830358505249, -0.4851265251636505, 0.8975236415863037, -0.12097939848899841, 0.2908438444137573, 0.7117757797241211, -0.13337570428848267, 0.2061840295791626, 1.2055948972702026, -0.3100159764289856, -0.14115701615810394, 0.3485202193260193, 1.0524123907089233, 0.0015740232774987817, -0.2835281491279602, 0.5169653296470642, 0.24234643578529358, -1.6558219194412231, -0.7543374300003052, 0.037830427289009094, -0.22899340093135834, 0.27742278575897217, -0.7688035368919373, 0.2484995275735855, -0.2969014644622803, 0.4661036729812622, -1.2013128995895386, 0.9571117162704468, 1.089890718460083, -0.9350418448448181, -0.0679556131362915, 0.5293154120445251, 0.2815544605255127, 0.3562047481536865, -0.11321806907653809, 0.35096821188926697, 0.1591494083404541, -0.6071932911872864, -0.18760952353477478, -0.4563106298446655, 0.3853990435600281, -0.8492643237113953, -0.2727026343345642, 0.9970859289169312, -0.2537774443626404, 0.665291965007782, 0.37375155091285706, -0.5931797623634338, -0.36418455839157104, 0.5383849143981934, -0.5028818249702454, 0.020134104415774345, 0.09687960892915726, 0.28204289078712463, 0.7819265127182007, 0.3183567225933075, 0.08299713581800461, -1.2632368803024292, -0.013177312910556793, -0.9691576957702637, 0.22495222091674805, 0.03776133432984352, -0.6548120975494385, 1.0072318315505981, -0.03334961459040642, -0.7573291659355164, -1.365120768547058, 0.36545413732528687, -0.09283573180437088, -0.9322061538696289, 0.38379839062690735, 0.022224510088562965, 0.5451008081436157, -0.9837291240692139, -0.8380058407783508, 0.46648746728897095, -0.20268188416957855, 0.575946569442749, 0.06976395100355148, -0.9357826113700867, -1.3550631999969482, -0.5062999129295349, -0.22426775097846985, 0.023693056777119637, 1.229680061340332, -0.18135876953601837, 0.3156496286392212, -0.506828248500824, 0.7543948292732239, -0.2351084202528, 0.8189890384674072, -0.8722567558288574, 0.2717861831188202, 0.6190145015716553, -1.2790136337280273, -0.2671639621257782, -0.01084431167691946, -0.5125049948692322, 0.14018242061138153, -0.16543370485305786, -2.086012363433838, -0.7956528663635254, -0.4758080244064331, 0.9263163805007935, -1.0920288562774658, -1.016296625137329, 0.7372827529907227, 1.2894117832183838, -0.6019187569618225, -0.14524485170841217, 1.1392236948013306, -0.36365389823913574, -0.3086673617362976, -0.29675233364105225, -0.20889045298099518, -0.19303302466869354, -1.2204620838165283, -0.38115718960762024, 0.2280154675245285, 0.9792953729629517, -1.2514110803604126, -0.03185417503118515, -0.9242822527885437, 1.04396390914917, -0.7628222703933716, 0.7008267641067505, -0.12503468990325928, -0.401022732257843, -0.32941359281539917, 1.5253769159317017, 0.21440885961055756, -0.5362904667854309, 0.6058734059333801, -0.17364145815372467, -0.4285734295845032, -0.18942122161388397, 0.6466086506843567, 1.3068492412567139, -0.835585355758667, -0.02256130613386631, -0.042047496885061264, 0.19746774435043335, -0.04848708584904671, 0.5110108256340027, 1.1998883485794067, -0.18810877203941345, -0.20605893433094025, 0.3142319917678833, 0.3812014162540436, -0.7023814916610718, 1.0699933767318726, 0.598196804523468, 0.2340545952320099, -0.805263102054596, -0.07382775098085403, 1.4178266525268555, -0.6826719641685486, -0.4948384761810303, 0.5609718561172485, -0.9784244298934937, 0.30869078636169434, -1.238276481628418, 0.10054711997509003, 0.3477213680744171, 0.5556907057762146, 0.7620037794113159, -1.2603404521942139, -0.25879207253456116, -0.1295667588710785, 0.877760648727417, -0.8332959413528442, -0.0969330295920372, 0.3342634439468384, 1.5465025901794434, -0.9853076338768005, 0.4421444237232208, -0.28442108631134033, 1.2366034984588623, 0.2172289341688156, 0.13391704857349396, 0.20212823152542114, 0.04196411743760109, 0.3296496868133545, -0.31768855452537537, -1.0658248662948608, -0.18193161487579346, 0.8051957488059998, 0.22328604757785797, 0.0976245328783989, -0.7235185503959656, 0.4334331452846527, -0.6360741257667542, 1.0720618963241577, -0.10771101713180542, -1.8699036836624146, -1.4722672700881958, -0.8983758091926575, -0.82138592004776, 0.1349342316389084, -0.6517369747161865, -0.8438037037849426, -1.0289407968521118, 0.17821075022220612, -1.1131757497787476, -0.906909704208374, -0.2989332973957062, -0.13735388219356537, 0.019091865047812462, 0.6168442964553833, -0.38958287239074707, -0.8126776218414307, 0.8436495661735535, -0.8633115887641907, 0.24215975403785706, 1.0922281742095947, -0.7822756767272949, 0.5776473879814148, -1.0279271602630615, 0.7173221111297607, -0.9846180081367493, -0.0742206797003746, 0.0918017253279686, -0.22627463936805725, 0.34753772616386414, -2.0933310985565186, 0.22147943079471588, -0.3990924656391144, -0.9309427738189697, 0.44073882699012756, -0.1463344395160675, -0.15796279907226562, 0.7857306599617004, -0.14839260280132294, 0.8653822541236877, 1.3508228063583374, -1.1395968198776245, -0.47522416710853577, 0.6122294068336487, -0.9864450097084045, 0.13375535607337952, 0.18550260365009308, -0.04368323087692261, -0.11674366891384125, -0.4889746904373169, 0.6622740626335144, 0.7264425158500671, 1.3120702505111694, 0.21852484345436096, 0.9410288333892822, -0.34402015805244446, -0.24215173721313477, -0.18815039098262787, 0.26531240344047546, 1.1787086725234985, -0.4884485602378845, -0.3102822005748749, -0.6297176480293274, -0.48390403389930725, 1.345192790031433, 0.4404928386211395, -0.13741938769817352, -0.3502914607524872, -0.8970217108726501, 2.1353936195373535, 0.46096670627593994, -0.733975887298584, -1.6032905578613281, 0.036367643624544144, 0.10527579486370087, -0.4457775056362152, -0.002312280237674713, 0.2730715572834015, -0.30596229434013367, -0.1728941947221756, -0.6557283997535706, -0.5570282340049744, -0.4251742362976074, -0.9255149364471436, -0.21145398914813995, -0.15667107701301575, 0.14619453251361847, -0.300153523683548, -0.2262004166841507, 0.7823851108551025, 0.135614812374115, -0.8144150376319885, 0.6819122433662415, 0.04587884247303009, 0.27027609944343567, -0.059911612421274185, -0.14808601140975952, -0.17878246307373047, -0.15160195529460907, -0.6828858852386475, 0.15312261879444122, -1.3269281387329102, -0.5912880897521973, -0.08750168234109879, -0.012534456327557564, -0.39661315083503723, -0.022203808650374413, -0.06862013041973114, 0.023190170526504517, -0.4274103045463562, -0.8481972813606262, 0.6742342710494995, 0.6527595520019531, -0.06609492748975754, 0.384854793548584, 0.03367127478122711, 0.020546048879623413, 1.264976143836975, -1.6233547925949097, 1.7623971700668335, -0.24498502910137177, 0.6352875828742981, 0.8976208567619324, 0.4235627055168152, -0.6284341812133789, -0.14321064949035645, -0.09283243119716644, -0.2819006145000458, -0.2522781491279602, 0.05718888342380524, 0.2910120189189911, -0.6479417085647583, -0.5379801392555237, -0.20617267489433289, 1.442425012588501, -0.4617733359336853, -0.8377675414085388, -0.41016966104507446, 0.09116676449775696, -0.8623459935188293, -0.9333198666572571, -0.8698910474777222, 0.6948416233062744, -0.4362533390522003, -0.2339056134223938, -0.7585739493370056, 1.7699270248413086, -0.35926273465156555, -0.9035424590110779, -0.43594926595687866, 0.6284026503562927, -0.5118728876113892, -0.0854712650179863, 0.07264059036970139, -0.31023329496383667, -2.133359670639038, 0.00843504536896944, -0.22764383256435394, 0.62312912940979, 1.0154248476028442, 0.6895434856414795, 0.2906492054462433, -0.33241888880729675, 0.3605645000934601, 1.1273303031921387, -0.5202602744102478, -0.18717089295387268, -0.49926063418388367, -0.7880036234855652, -0.6059163808822632, 0.5582179427146912, -0.1774454563856125, -0.4254620373249054, -0.08329804986715317, -0.11665544658899307, 0.287495881319046, 0.4682629108428955, -0.7633384466171265, 0.43067455291748047, 0.28942161798477173, -0.9595934152603149, 0.4660291075706482, -1.1769083738327026, 0.05044097453355789, 0.06997121870517731, 0.18049411475658417, -0.2182585746049881, -0.8246939182281494, -0.5505133271217346, 0.042782604694366455, -0.39544036984443665, -1.2541768550872803, -1.1849876642227173, 0.4657154381275177, -0.7023393511772156, 0.09466976672410965, -0.26946231722831726, -0.1385687291622162, 0.7661200761795044, 0.0006851466605439782, 0.29797986149787903, -0.20946988463401794, 0.13421021401882172, -0.06642062962055206, -0.3506615161895752, 0.06203121319413185, 1.374101161956787, -0.12029173225164413, 0.5592589974403381, 0.4240194857120514, 0.25979194045066833, 0.9166744947433472, 0.4858326315879822, -0.16550765931606293, 0.8087052702903748, -0.610979437828064, 0.9225808382034302, 0.26319727301597595, 0.1460876613855362, 0.2784924805164337, -0.7321081757545471, 0.020122991874814034, 0.12035688012838364, -0.0713491439819336, 0.40763992071151733, 0.09538087248802185, -0.4776497483253479, -0.01572156324982643, 0.09645647555589676, -0.6567093729972839, -1.068657636642456, 1.2468502521514893, -0.3318447172641754, 0.20387732982635498, 0.4866933226585388, 0.4335659444332123, 0.21092066168785095, -1.6841453313827515, -0.4866579473018646, 0.7159769535064697, 0.2020898312330246, 0.3398061990737915, 1.2741533517837524, -0.9547336101531982, -0.3103686273097992, -0.4309544861316681, -0.4106973111629486, -0.2866608798503876, -1.1032278537750244, -0.417315274477005, -0.6311965584754944, -0.04464380815625191, 0.08224210143089294, -3.105055570602417, -0.29340633749961853, -0.38737401366233826, -0.9609957337379456, 0.21050778031349182, -0.6136053204536438, -0.667589008808136, 0.3670928478240967, -0.6254828572273254, 0.42458733916282654, 1.0834314823150635, 1.3431932926177979, -0.5330672264099121, 0.1295955330133438, -0.8207482695579529, -1.7358397245407104, 0.13783738017082214, -1.099457859992981, -0.4962790012359619, -0.46740055084228516, -0.43740585446357727, -0.8136211037635803, -0.02202744223177433, -1.2690794467926025, 0.3931662440299988, -1.2850089073181152, -1.0630983114242554, 0.001289623905904591, -0.037676550447940826, -0.2669680118560791, 0.4237639307975769, 0.931086003780365, 0.5084425806999207, -0.894426167011261, -0.033743005245923996, -0.19978845119476318, 0.4734627604484558, 0.973642885684967, 0.522515594959259, -8.768680572509766, 0.5360774397850037, -0.16497960686683655, -0.517667829990387, 0.4763183891773224, -0.457428902387619, 0.4884515404701233, -0.5136013031005859, -0.02135881409049034, -0.47863852977752686, 0.01138328481465578, -0.013231165707111359, -0.7438766360282898, 0.24380217492580414, 0.6825039386749268, -0.888116717338562, 0.5243845582008362, 1.2412312030792236, -1.159915804862976, 0.46278220415115356, -0.2515206038951874, -0.3455173373222351, 0.3767978549003601, 0.1237003281712532, -0.44821590185165405, 0.4448585510253906, 0.1717204749584198, 0.9963841438293457, -1.768297553062439, 0.9784488677978516, 0.18766510486602783, 0.16324986517429352, -0.6068361401557922, 0.21773958206176758, 0.25564026832580566, -0.7407817244529724, 0.5110166072845459, 1.2453380823135376, 0.670151948928833, -1.1240179538726807, 1.3986674547195435, 0.556924045085907, 0.7355946898460388, 0.09475278109312057, -0.8545778393745422, 0.2857057452201843, -0.9751871228218079, -0.7213224768638611, 0.057362914085388184, -0.46396535634994507, 0.7285698056221008, -0.13276641070842743, 0.31799596548080444, 0.959086000919342, -0.548896312713623, 0.11162642389535904, -1.5977730751037598, 0.19627103209495544, 0.9282251596450806, -0.40852680802345276, 0.08734525740146637, 0.11580690741539001, 0.4901166558265686, -0.21729211509227753, 0.06861485540866852, -0.4855938255786896, -0.9403985142707825, -0.4085488021373749, 0.21509405970573425, 0.27361440658569336, -0.929508626461029, -0.6888177394866943, 0.6163517832756042, 0.7354373335838318, -0.17288382351398468, -0.14803820848464966, -1.3356208801269531, 0.2859953045845032, -0.27703240513801575, 0.415172815322876, 0.8890745043754578, 1.9840465784072876, 0.29199516773223877, 1.1776312589645386, -0.02164992317557335, -0.6397607326507568, -0.8839948773384094, -0.8170638680458069, -0.4888838529586792, -0.9492228031158447, 0.5687544345855713, -0.7905578017234802, -0.6659111976623535, 0.9309307932853699, -0.13870523869991302, 0.8099335432052612, 0.35113510489463806, -0.1793317049741745, -1.0684176683425903, 0.8243212103843689, 1.050700068473816, 0.4519355297088623, 0.566408634185791, -0.7413985133171082, 0.925771176815033, 0.2878551483154297, 0.6975015997886658, -0.09121821075677872, -0.12568189203739166, 0.8014764785766602, 0.5757809281349182, 0.35267674922943115, -0.34948813915252686, 0.6032513976097107, -0.28172582387924194, -0.25001436471939087, -0.08765159547328949, 1.3248103857040405, -0.8421365022659302, -1.4445745944976807, -0.7271696925163269, -1.5902040004730225, 0.22380097210407257, 0.48747923970222473, 0.6576817631721497, -0.00949230045080185, 0.7834155559539795, -0.47898462414741516, 0.43280738592147827, -0.46208634972572327, -0.4241633117198944, 0.043812744319438934, 0.06152910739183426, -0.182042196393013, 0.046688079833984375, 0.19457252323627472, -0.5131382346153259, 0.8187380433082581, -0.5625893473625183, 0.6473866701126099, 1.5338692665100098, 0.5275771021842957, -0.0694318413734436, -0.00792296789586544, 0.2340625524520874, -0.5652683973312378, 0.47457295656204224, -0.05738023295998573, 0.6297170519828796, -0.44844576716423035, -0.13052231073379517, -0.15951795876026154, -0.4181959629058838, 1.414624571800232, -0.3443053662776947, -0.5319870114326477, -1.7869333028793335, 0.3954724967479706, -0.013633699156343937, -0.3592854142189026, 0.8915685415267944, -1.2238078117370605, 0.9545542597770691, -0.46585482358932495, -0.5664921402931213, -0.6291601657867432, -0.04376576840877533, -0.9899481534957886, 1.53830087184906, -0.0071513839066028595, 0.85521000623703, -0.307282030582428, 0.5275211930274963, 1.3213152885437012, 0.6430687308311462, -1.050868272781372, 0.02180635742843151, 1.2098867893218994, -0.4456409811973572, -1.5095852613449097, 1.1544616222381592, 1.1580008268356323, -0.0846216231584549, 0.552038311958313, 0.6615358591079712, -0.644929051399231, -0.15137137472629547, 1.6330009698867798, 0.5061760544776917, -0.945306122303009, 0.03604290634393692, -0.43005335330963135, -0.6359512805938721, 0.3946191668510437, -0.17650480568408966, 0.031962405890226364, -0.6698366403579712, -0.838816225528717, 1.0133928060531616, 0.9941444396972656, 0.30042651295661926, 1.2965986728668213, 0.28916528820991516, 0.7135955095291138, -1.1399917602539062, 0.6735019683837891, -0.0670648068189621, 0.5140578746795654, -0.30267858505249023, -1.2127304077148438, 0.6254917979240417, 0.6992261409759521 ]
150
0704.0152
Alberto Dellafiore
V.I. Abrosimov, D.M. Brink, A.Dellafiore, F. Matera
Kinetic equation for finite systems of fermions with pairing
deeply revised, to be published in Nucl. Phys. A
Nucl.Phys.A800:1-20,2008
10.1016/j.nuclphysa.2007.11.009
null
nucl-th
null
The solutions of the Wigner-transformed time-dependent Hartree--Fock--Bogoliubov equations are studied in the constant-$\Delta$ approximation. This approximation is known to violate particle-number conservation. As a consequence, the density fluctuation and the longitudinal response function given by this approximation contain spurious contributions. A simple prescription for restoring both local and global particle-number conservation is proposed. Explicit expressions for the eigenfrequencies of the correlated systems and for the density response function are derived and it is shown that the semiclassical analogous of the quantum single--particle spectrum has an excitation gap of $2\Delta$, in agreement with the quantum result. The collective response is studied for a simplified form of the residual interaction.
[ { "created": "Mon, 2 Apr 2007 10:11:53 GMT", "version": "v1" }, { "created": "Tue, 18 Dec 2007 15:03:58 GMT", "version": "v2" } ]
2008-11-26
[ [ "Abrosimov", "V. I.", "" ], [ "Brink", "D. M.", "" ], [ "Dellafiore", "A.", "" ], [ "Matera", "F.", "" ] ]
07
[ -0.058346934616565704, 0.8433657884597778, -0.8082755208015442, 0.23957085609436035, -0.10003899037837982, 0.6072036027908325, -0.12825331091880798, 0.14990991353988647, -0.7655143141746521, -0.6472324728965759, -0.5290960669517517, 0.6041560769081116, -0.9223847389221191, 0.4649379551410675, -1.2906099557876587, 0.5304384827613831, 0.3767164647579193, -1.7833800315856934, 0.8623175024986267, -0.22592011094093323, 0.3178268074989319, -0.8737285733222961, 0.7741119861602783, -1.4588767290115356, -0.40131473541259766, 0.34475305676460266, -0.8674287796020508, 1.1941100358963013, -0.6438721418380737, 0.7887017130851746, 0.06321251392364502, 0.6782464385032654, -0.7599161267280579, 0.7323117256164551, -0.6269780397415161, 0.25573766231536865, 0.9486701488494873, -0.37096938490867615, -0.03754105791449547, -0.608485996723175, -0.394259512424469, -0.2278689742088318, -0.19852007925510406, -0.2986612319946289, -1.6597509384155273, -0.6389662623405457, 0.6043295860290527, -1.047412633895874, -1.6886576414108276, 0.13801750540733337, 0.4881800413131714, -0.5555459856987, 0.3368612229824066, 0.1569998413324356, 1.5168392658233643, 0.5572338700294495, -0.5378365516662598, 1.7055909633636475, -0.8975779414176941, -0.42474398016929626, 0.5212118029594421, 0.19674353301525116, -0.8424819111824036, -0.8322488069534302, 0.9325677156448364, -0.650715172290802, 0.306701123714447, 0.5896477699279785, 0.29817983508110046, 0.3488559424877167, -0.04695203900337219, -0.27452996373176575, -0.5469913482666016, -0.09986667335033417, 0.3896239101886749, 0.26526811718940735, 0.46201473474502563, -0.2626398801803589, 0.8384439945220947, 0.8524367809295654, 0.5883342027664185, 0.5311564207077026, -0.6197825074195862, -2.0581867694854736, 0.6990664601325989, 0.3363491892814636, 0.4330562949180603, 0.11379583925008774, -0.4579363167285919, -1.1846874952316284, -0.16357000172138214, -0.6104713082313538, 0.17638546228408813, 0.5150583982467651, -0.3213958144187927, -0.0588674359023571, 0.6213995814323425, -1.1113004684448242, 0.25559860467910767, -0.6155967116355896, -1.0238679647445679, 0.14021971821784973, 0.6295062899589539, 0.5078864693641663, 0.22912538051605225, 0.515923023223877, 0.6314725279808044, -0.5496136546134949, 0.05536258965730667, -0.5106902718544006, -0.0691935196518898, -1.4608551263809204, -0.5434946417808533, -0.2146935909986496, -0.09322857856750488, 0.43610870838165283, 0.12672197818756104, 0.33284464478492737, 0.02394944056868553, 0.1024908572435379, 0.4089507758617401, -0.30163174867630005, 0.27090397477149963, -0.9008477926254272, 1.2520140409469604, 0.05833493173122406, 0.6413868069648743, -0.6568067669868469, -0.47085636854171753, -0.04260163754224777, -1.2403994798660278, -0.038884662091732025, 0.005515823140740395, 0.9271112084388733, -0.13401979207992554, -0.6150626540184021, 0.6113824248313904, 0.1989709734916687, 0.16162633895874023, -0.27181288599967957, -0.5412136912345886, -0.3072220981121063, 0.11647817492485046, -0.6935141682624817, -0.3343333601951599, -0.841366708278656, 0.09004893898963928, -0.6493642926216125, 0.22828809916973114, -0.1699531376361847, 1.4707287549972534, -0.43459048867225647, -0.06241878494620323, 0.9433309435844421, -0.4773055911064148, -0.19047100841999054, 0.09350850433111191, 0.13292387127876282, 0.3905509114265442, 0.4885939955711365, 1.1774420738220215, -1.551516056060791, 0.6712633967399597, -1.2518479824066162, 0.01497597061097622, -0.8073212504386902, 0.2926032543182373, 0.15346881747245789, -1.0435627698898315, 0.041457001119852066, 0.2295023798942566, 0.3094068765640259, -0.2036914825439453, 0.2843666970729828, -0.8733922243118286, 0.02358405850827694, 0.5252672433853149, -1.416115641593933, 0.19608519971370697, 1.2208279371261597, 0.3261363208293915, -0.7929055094718933, -0.8952417373657227, 0.03858872503042221, -0.6026224493980408, 0.3702276945114136, -0.17603740096092224, -1.4659289121627808, -0.7489291429519653, 0.28324249386787415, 0.18597275018692017, 0.9612398743629456, -0.3828134834766388, -0.3531200885772705, -0.7961868643760681, 0.145760178565979, 1.4836575984954834, -1.6889989376068115, -0.8992254734039307, 0.08733510971069336, 0.1698133498430252, 1.0797399282455444, -0.577215850353241, 0.011646904982626438, 0.6647253036499023, -0.4494244158267975, -1.1554909944534302, 0.19354704022407532, -1.03187894821167, -0.7529289722442627, -0.0988830029964447, -0.5293857455253601, -0.892147958278656, -0.6031766533851624, 0.08180229365825653, -0.06690068542957306, -1.1253952980041504, -0.38209715485572815, 0.7606763243675232, 1.131917953491211, 1.239452600479126, 0.5732797980308533, 0.7633202075958252, -0.12475219368934631, -0.3599536418914795, -0.03615584969520569, -0.004714854992926121, -0.6885752081871033, -0.6649169921875, 0.7673250436782837, 1.3659459352493286, -0.42323434352874756, -0.5016337633132935, 0.48073670268058777, 0.624215841293335, 0.418114572763443, -0.19652490317821503, -0.24478064477443695, -0.11783261597156525, 0.18099980056285858, -0.31159794330596924, -0.9182662963867188, 0.7329785823822021, 0.02092757634818554, 0.2967031002044678, -0.6054717302322388, 0.5007144808769226, 0.09436818212270737, -0.09408026933670044, 0.615587592124939, 0.9715489149093628, -0.982082724571228, 0.6672213673591614, -0.5416563153266907, 0.38117265701293945, 0.7723124027252197, -0.6014822125434875, -0.6591510772705078, 0.473959356546402, 0.2895449995994568, 0.8396633267402649, 1.0246556997299194, 1.150967001914978, -0.4636825621128082, -0.3131067156791687, 0.01149945892393589, 0.09000851958990097, -0.44248658418655396, -0.3322252631187439, -1.1342774629592896, -1.2960723638534546, -0.3595587909221649, -0.027404798194766045, 0.25128573179244995, -0.422773540019989, 0.5197921991348267, -0.029591714963316917, -0.7451558113098145, 0.4926355481147766, -0.23189076781272888, -0.189566969871521, 1.5555561780929565, 0.37663716077804565, 0.5819740891456604, -0.11278209090232849, -0.7195030450820923, 1.8236008882522583, -0.8397015929222107, 0.727782666683197, 1.2204580307006836, 0.467811644077301, -0.48506468534469604, -1.2450402975082397, -0.6049716472625732, -0.6856215596199036, -0.30405193567276, 0.3775753080844879, -0.8559492826461792, 0.3760851323604584, -1.307071566581726, 0.327218234539032, 0.18098263442516327, -0.14980532228946686, -0.1894250363111496, 1.4606080055236816, -0.4214731752872467, -0.1728133112192154, 0.6370120644569397, 0.152208149433136, 0.754458487033844, 0.1413109004497528, 0.38352134823799133, -1.5723963975906372, 0.6493238210678101, -1.1540673971176147, 0.5408748388290405, -0.024923989549279213, 0.536845326423645, -0.23822708427906036, 0.14679302275180817, -0.9108350872993469, -0.39209553599357605, -0.39213988184928894, 1.2841044664382935, 0.8889764547348022, 0.15569527447223663, 1.0067297220230103, 0.4929007887840271, 0.4183039367198944, -0.18815861642360687, 0.039606139063835144, -0.07906848192214966, -1.3436775207519531, -0.3229500949382782, 0.11943655461072922, -0.6353821158409119, -0.8076832890510559, -0.6719962954521179, 0.8254597187042236, 0.7359266877174377, 0.9590425491333008, 0.6721511483192444, -0.04513559117913246, -0.7366283535957336, -1.2299648523330688, 0.09660587459802628, -0.7123872637748718, 0.41771167516708374, -0.2913896143436432, -0.5932523608207703, -1.0935405492782593, -0.7212486863136292, 0.4808465838432312, -0.37609484791755676, -0.009524031542241573, -0.6257445812225342, 0.24545824527740479, 0.5695689916610718, 0.21546310186386108, 0.38937729597091675, 0.1498039811849594, 0.20518450438976288, 0.11569323390722275, -0.661131739616394, 0.36702990531921387, 0.008821784518659115, -0.504207968711853, -0.7500141263008118, -0.6218733787536621, -0.3207491636276245, -0.7828365564346313, -0.13128285109996796, 0.022470545023679733, -0.3622848093509674, -0.4435640573501587, 0.21601425111293793, 0.5376771688461304, 0.4516717493534088, 0.6450643539428711, 0.14906179904937744, -0.10342221707105637, 1.4942643642425537, -0.6618165969848633, 0.6332425475120544, -0.06452108919620514, 0.1324014663696289, 0.6897157430648804, 0.29670366644859314, -0.1008787676692009, 0.6298028826713562, -0.25158751010894775, -0.3763783872127533, -0.09594141691923141, 0.4463946521282196, 0.44459134340286255, 0.41562455892562866, 1.3168904781341553, 0.5628239512443542, -0.46370938420295715, 1.1838175058364868, 0.0759512186050415, 0.37570682168006897, -0.38580310344696045, -0.35047104954719543, 0.9528839588165283, -0.013337204232811928, -1.2037930488586426, -0.2913323938846588, 0.18701784312725067, -0.6789882779121399, 0.08011198043823242, 0.13595812022686005, 0.43456366658210754, -0.20334871113300323, -0.6025472283363342, -0.9940115809440613, 1.259157657623291, 0.14330190420150757, 0.015240316279232502, 0.8858495354652405, -0.8771355748176575, 0.340488463640213, -0.013517159037292004, -0.22941729426383972, 1.4067684412002563, -0.4356170892715454, -0.24329061806201935, 0.4055754840373993, -0.38979288935661316, -0.4260241985321045, -0.36974895000457764, 0.06144529581069946, -0.9410988092422485, 1.6093138456344604, 0.14557379484176636, -1.000693440437317, 1.2457414865493774, 1.156103253364563, -0.042212218046188354, -0.2364276647567749, -0.9633471965789795, 0.19131290912628174, 0.13438820838928223, 0.33077263832092285, 1.1612987518310547, -0.005587167106568813, -1.1692554950714111, 0.4021434187889099, 0.7227661609649658, -0.4738679528236389, 0.597079873085022, 0.3561977446079254, -0.017072096467018127, -0.351969450712204, 0.21836479008197784, 1.1642746925354004, 0.44970932602882385, 1.116786241531372, 0.11960285902023315, -0.2950449287891388, -1.5321424007415771, -0.7549723386764526, -0.38984745740890503, -0.9984065294265747, -1.4995899200439453, -0.6150792241096497, 0.5339156985282898, -1.259379267692566, -1.389451265335083, 0.3426278829574585, 0.4533275067806244, -0.4943748116493225, 0.20635583996772766, 0.2939426898956299, -1.651551604270935, -0.034230802208185196, 1.805403709411621, 0.9544788599014282, 0.902839183807373, -1.0889406204223633, 0.9217457175254822, 2.0463063716888428, -0.16244329512119293, -0.9881672859191895, 0.17734290659427643, -0.6576988101005554, -1.1429638862609863, 0.2022305727005005, -0.8891255855560303, 0.31622612476348877, -0.30666881799697876, -0.5619086027145386, -0.1715240776538849, 0.3633853793144226, 1.4048149585723877, 0.7744350433349609, 0.3393571972846985, 0.28670358657836914, 0.028456443920731544, -1.5049322843551636, 0.5546579957008362, 0.1640610694885254, 0.24656923115253448, 0.3373968303203583, -0.9371054172515869, -1.1874021291732788, 1.347944736480713, 0.7880734205245972, 0.449428915977478, -0.7432777285575867, 0.652867317199707, 0.10681045800447464, 0.4596487581729889, 1.5340145826339722, -0.20383651554584503, -0.6375086307525635, 0.21808546781539917, -2.949279308319092, 0.003740090411156416, -0.6233735084533691, -0.38732051849365234, 0.3212427496910095, 0.2748575210571289, -0.16382718086242676, -0.026983333751559258, -0.2848338782787323, 0.3997252583503723, -0.18979522585868835, -0.867812991142273, 0.38141360878944397, -0.732976496219635, 0.18153443932533264, -0.24981209635734558, -0.3434853255748749, -0.07747437804937363, 0.4185650944709778, 0.9773828983306885, 0.4361259341239929, -1.3497570753097534, 0.9535678029060364, 0.006898652296513319, 0.12153779715299606, 0.11722150444984436, -1.1070164442062378, -0.015482205897569656, -0.15888597071170807, -0.9903347492218018, 0.12649911642074585, -0.6005640625953674, -0.5565077662467957, -0.6279358267784119, -0.4179937541484833, -1.5398151874542236, 1.3225231170654297, 1.076017141342163, -1.3355289697647095, -7.452770709991455, 0.14632479846477509, -0.3697429895401001, -0.5274612307548523, 0.5140309929847717, -1.102294921875, -1.3133797645568848, -0.8814199566841125, 0.20789913833141327, -0.5333189964294434, 0.7080740928649902, -0.001072229235433042, -0.638639509677887, -0.7567782402038574, -2.354919910430908, -0.5207460522651672, 0.8250657916069031, 0.3473660945892334, -0.48803073167800903, 0.7213129997253418, -1.2906078100204468, 1.2084959745407104, 0.5155147910118103, -0.8537073731422424, 0.9211999177932739, -0.24763305485248566, 0.8887192010879517, 1.196821689605713, -0.26171284914016724, 0.3339746594429016, -0.6086299419403076, 2.431976556777954, -0.429039865732193, 0.056220799684524536, -0.3247339427471161, -0.36169540882110596, -0.9645786285400391, 1.6779028177261353, 1.179408311843872, -1.2253848314285278, 0.7946467995643616, -1.0706894397735596, -0.6691321730613708, 0.11790604889392853, -0.05060240253806114, 0.5917894244194031, 0.45552757382392883, 0.4542172849178314, -1.1920188665390015, 1.2314131259918213, 0.7505306601524353, -0.40317970514297485, 0.7056548595428467, 0.4641246497631073, -0.15342016518115997, 0.24807119369506836, -1.541046142578125, 0.22765116393566132, -0.8173483610153198, 1.2296302318572998, 0.10218824446201324, 0.2225295752286911, 0.1747242957353592, -0.17615637183189392, -0.9735588431358337, 0.1576419174671173, 0.08010782301425934, -0.3900243937969208, -0.5241251587867737, 0.060176968574523926, 1.3380792140960693, -0.6537448763847351, -1.0558139085769653, 0.8814871311187744, -0.8254421949386597, -0.0003280605305917561, 0.19043345749378204, -0.2689008414745331, -0.44681882858276367, -0.2888946831226349, 1.3582245111465454, 0.4834296703338623, 0.35361048579216003, 0.3122480511665344, -0.037885066121816635, -1.0758402347564697, -0.6573030352592468, -1.4131602048873901, -0.16203075647354126, 0.2932213246822357, -0.26458820700645447, -0.11972960084676743, -0.3032395541667938, 0.28005528450012207, -0.6552918553352356, 0.8232881426811218, 1.4981889724731445, -1.615641474723816, -0.18404418230056763, 0.3325967490673065, -0.10516159236431122, -0.8977556228637695, 0.08248298615217209, 0.028775373473763466, -0.5066068172454834, -0.2703583538532257, -0.41593194007873535, -1.3793973922729492, 0.27273935079574585, -1.037272334098816, 0.5583930611610413, -0.08969869464635849, 0.6648210883140564, -0.665790319442749, -0.4983428418636322, -0.37602120637893677, -0.8173114061355591, -0.15448221564292908, -0.38699907064437866, -0.30375421047210693, -0.5265932679176331, -0.5034399032592773, 1.0114214420318604, 1.1030136346817017, 1.5055396556854248, -0.8861759305000305, 1.0649465322494507, -0.15118008852005005, -1.1953163146972656, -0.26170897483825684, 0.03947654739022255, 0.1393689215183258, -0.9031484723091125, 0.8232467174530029, -0.2748604416847229, 0.16061526536941528, -0.6114128232002258, 0.24518246948719025, 0.2081151157617569, 1.3615076541900635, 1.1599324941635132, 0.5034646391868591, 0.6082488298416138, 1.4147248268127441, 0.4365801215171814, -0.7530691623687744, 0.7084929347038269, 0.19268207252025604, -1.003373622894287, 0.3526442050933838, 0.05349598452448845, 1.1216481924057007, 0.3811938166618347, 0.6481240391731262, -0.2749658226966858, -0.7478774189949036, -0.5535712242126465, -0.21694570779800415, -0.8457274436950684, -1.3412450551986694, -1.4271340370178223, -0.05386156216263771, 0.27836352586746216, -0.07360687106847763, -0.4184175729751587, -0.5111929774284363, -1.1451170444488525, 0.2784186005592346, 1.0563929080963135, -0.7995800971984863, 0.23658499121665955, 0.8194851279258728, -0.564083993434906, -1.3304023742675781, -0.7131065726280212, -0.5772509574890137, -0.46235159039497375, 0.20219063758850098, 0.37892046570777893, -0.47426944971084595, -0.12897005677223206, 1.6814409494400024, -0.3784949481487274, 0.6424973011016846, 0.6481439471244812, 0.9785481691360474, -1.3076730966567993, 0.8109289407730103, -0.7681822180747986, -0.8276541829109192, 0.03525900840759277, -1.3510079383850098, -0.399984747171402, -0.7688515782356262, -0.43474245071411133, 0.8969889283180237, -0.043778035789728165, -0.15609793365001678, -0.1951366364955902, -0.13504189252853394, 0.39638686180114746, -0.04702461138367653, 0.186713308095932, -0.04195564240217209, 0.15419726073741913, -0.6359654068946838, 0.6247314214706421, 0.4706466495990753, -1.6404045820236206, 0.6806142330169678, -0.4038282632827759, 0.15392670035362244 ]
151
0704.0153
Mushfiq Ahmad Mr.
Mushfiq Ahmad
Reciprocal Symmetry and Classical Discrete Oscillator Incorporating Half-Integral Energy Levels
4 pages
null
null
null
physics.gen-ph
null
Classical oscillator differential equation is replaced by the corresponding (finite time) difference equation. The equation is, then, symmetrized so that it remains invariant under the change d going to -d, where d is the smallest span of time. This symmetric equation has solutions, which come in reciprocally related pairs. One member of a pair agrees with the classical solution and the other is an oscillating solution and does not converge to a limit as d goes to 0. This solution contributes to oscillator energy a term which is a multiple of half-integers.
[ { "created": "Mon, 2 Apr 2007 09:29:58 GMT", "version": "v1" } ]
2007-05-23
[ [ "Ahmad", "Mushfiq", "" ] ]
07
[ 0.34008437395095825, -0.3850283920764923, -0.5172692537307739, 0.9060612320899963, -0.4120965898036957, -0.23684394359588623, -0.4518260657787323, -0.36915284395217896, -0.7372590899467468, -1.198584794998169, -0.22676806151866913, 0.7584530711174011, 0.1558065414428711, 0.7408207654953003, -0.49163347482681274, -0.12204137444496155, -0.2148929089307785, -0.29536065459251404, -1.2654505968093872, 0.5784350037574768, -0.19753365218639374, -0.15406160056591034, -0.4871365427970886, -0.5297337174415588, -0.516003429889679, 0.1478186398744583, -1.3886784315109253, 1.7242844104766846, -0.9415108561515808, -1.1527915000915527, 1.3143532276153564, -0.03883003443479538, -0.8618353009223938, 0.8619400262832642, -0.29011133313179016, 0.5883117318153381, 1.0530166625976562, -0.053525932133197784, -0.4289241433143616, -0.8127543330192566, -0.7202661037445068, 0.14386886358261108, 0.07798571139574051, 0.41413456201553345, 0.6323729753494263, -1.484624981880188, -0.3254484236240387, 0.3578876256942749, 0.19726300239562988, 0.04666002094745636, -0.10295309871435165, -0.8781962394714355, 0.4267589747905731, -0.9502092003822327, 1.470036506652832, 0.7004292607307434, -0.1464088261127472, -0.07565648853778839, -0.1488228291273117, -0.39236557483673096, -0.5012843012809753, -0.5322728753089905, 0.05435393378138542, -0.2292833924293518, -0.419760525226593, 0.5170394778251648, 1.0457472801208496, 1.1962718963623047, 1.1929439306259155, -0.7885202169418335, 0.651589572429657, -1.1932036876678467, -0.7792328596115112, 0.37395626306533813, -0.45465338230133057, -1.4752427339553833, 0.674685001373291, -0.1375391036272049, 0.6055707931518555, -0.4062751233577728, 0.510963499546051, 0.56837397813797, 0.19135279953479767, -1.4209449291229248, -0.6797690391540527, 1.553798794746399, 0.05945773422718048, 0.44654953479766846, -1.073189616203308, 0.5443593859672546, 0.7623673677444458, -0.15310509502887726, -0.36170417070388794, -0.011792638339102268, 0.049673181027173996, -1.223352313041687, -1.0275355577468872, 0.2927916646003723, -0.44761818647384644, 0.27818670868873596, -0.1335432082414627, 0.0037992310244590044, 0.4848320484161377, 0.3824746608734131, -0.22092406451702118, -0.07235944271087646, 0.2616386413574219, -0.06867280602455139, -0.8528589010238647, 0.1904859095811844, 0.31519484519958496, -0.5791654586791992, 0.011410332284867764, -0.19424644112586975, -0.5871490240097046, 1.407340407371521, -0.5048155188560486, 0.08566009998321533, -0.3806055784225464, 0.5758939981460571, 1.3256107568740845, 0.16432476043701172, -1.0667181015014648, 0.6219732761383057, 0.8831974864006042, 0.13447172939777374, 0.4399057626724243, 0.12752221524715424, -0.9580298662185669, 0.4723878502845764, -1.1762615442276, -0.461272656917572, -0.1323147565126419, -0.8117831945419312, -0.571063220500946, 0.279857873916626, 0.6039325594902039, 0.017101114615797997, -0.6785972118377686, -0.1736648976802826, 0.20597167313098907, -0.4884863495826721, -1.4440375566482544, 1.013446569442749, -0.8735111355781555, -0.14359460771083832, 0.1454240381717682, 0.49618062376976013, 0.27834925055503845, 0.2851211130619049, -0.6128748655319214, -1.545881748199463, -0.5145415663719177, 0.7657352685928345, 0.3331402838230133, -0.08590060472488403, -0.8232706189155579, 0.8913944959640503, -0.5040978193283081, 0.1618388295173645, 0.8781364560127258, -1.1585674285888672, 0.8791987895965576, -1.4841128587722778, 0.1760963350534439, -0.6694940328598022, 0.6731145977973938, -0.40805584192276, -0.3560793697834015, -0.477817565202713, 0.10461141169071198, -0.18471868336200714, 0.49515044689178467, 0.06491686403751373, 0.20518769323825836, 0.5424076914787292, 1.1672183275222778, 0.16147080063819885, 0.4626465439796448, -0.25242894887924194, 0.2002107799053192, -0.06367343664169312, -0.37258294224739075, -0.6605567336082458, -0.023548131808638573, -0.32494184374809265, 0.4152618646621704, -0.6057307720184326, -0.5482659339904785, 0.18215860426425934, -0.4221482574939728, -0.16006092727184296, 0.2759886682033539, -0.08847007155418396, -0.3357500731945038, 0.029935995116829872, -0.37741562724113464, 0.34898048639297485, -0.5620824098587036, -0.3690602779388428, 0.1436150074005127, 0.45571839809417725, -0.3308414816856384, 0.1309739500284195, 0.2447158247232437, -0.4261544644832611, -0.4562590420246124, -0.1089247614145279, -0.00728514464572072, 0.24691489338874817, 0.029493490234017372, -1.0684716701507568, 0.2678512632846832, -0.29477840662002563, 0.5250756144523621, 0.32812049984931946, -0.7478328347206116, -0.1902790665626526, -0.593780517578125, 0.6984513998031616, 0.8932153582572937, 0.9738894701004028, -0.2228246033191681, 0.36308905482292175, -0.32946717739105225, 0.3414296805858612, -0.6842525601387024, -0.10489651560783386, -0.35082682967185974, -0.5862553119659424, 0.0749107077717781, -0.061529286205768585, -0.9295138716697693, -0.5505954623222351, 0.053646281361579895, 0.9824416041374207, 0.6327608823776245, -1.0458170175552368, -0.15154965221881866, 0.518955409526825, -1.1231752634048462, -0.07332908362150192, 0.13670116662979126, -0.862472653388977, 0.4038764238357544, 0.45198023319244385, 1.5184996128082275, 0.4046487808227539, 0.6934953331947327, 0.73447585105896, -0.23519572615623474, 0.14063993096351624, 0.22888608276844025, 1.5438292026519775, -0.04603840783238411, -0.8859924674034119, -0.10053157806396484, -0.45716601610183716, -1.772611141204834, 0.054596301168203354, -0.08615752309560776, -0.08202468603849411, -0.3907672166824341, 0.31568536162376404, 0.7940415740013123, -0.06963527202606201, -0.0013106897240504622, 0.01646047830581665, -0.0678941085934639, -0.8329415321350098, -0.5919016599655151, 0.37468022108078003, -0.7325060963630676, 0.4137301445007324, -0.009807342663407326, -0.24356575310230255, -0.020873384550213814, 0.596531867980957, -0.5151109099388123, -1.000438928604126, 0.3151853680610657, 1.705461859703064, 1.0853519439697266, 0.1605282723903656, -0.3656158447265625, -0.7474791407585144, -0.9395607709884644, -0.08267664164304733, 0.3567344546318054, -0.968776524066925, 0.5764318704605103, 0.3305795192718506, -0.5396856665611267, 0.28896212577819824, 0.27343979477882385, -1.239527940750122, -0.393936425447464, -0.9053403735160828, 1.3203492164611816, -0.2269398421049118, -0.5636405348777771, -0.2824195921421051, -0.7751251459121704, -0.3239932954311371, 0.4154938757419586, -0.25224506855010986, 0.31035375595092773, -0.7582218050956726, 0.08209279924631119, -0.6712411642074585, -0.5194067358970642, 1.115595817565918, -0.2532130479812622, 0.346807599067688, 1.478747010231018, 0.09605377167463303, 0.8249351382255554, 0.07514936476945877, 0.057518139481544495, -0.39712831377983093, -0.7451905608177185, 0.6681369543075562, -0.3621671199798584, 0.7230677604675293, -0.2072894275188446, -0.2002873718738556, 0.3407215178012848, -0.033537231385707855, 0.9879637360572815, 0.2008964717388153, -0.035569705069065094, -0.0405857115983963, -0.10536576807498932, -0.4683852791786194, 0.07450074702501297, -1.0048693418502808, 0.5062360167503357, -1.221208930015564, 0.6083052158355713, -0.0714024007320404, 0.39786162972450256, 1.7002990245819092, -0.07427317649126053, -0.09597759693861008, -0.3481089770793915, -0.1193377748131752, -1.0054787397384644, 0.14816464483737946, 0.08142566680908203, 0.24467210471630096, -1.520411729812622, -1.3187683820724487, -0.8247565031051636, -0.8219631910324097, 0.9216992855072021, -0.31388401985168457, 0.5749605298042297, 1.5288928747177124, -0.1238601878285408, 0.02216361090540886, 0.3322962522506714, 0.023979024961590767, 0.07756845653057098, -0.2938108742237091, 1.252089262008667, 0.19370372593402863, -1.4434826374053955, 0.8578466773033142, -0.036319948732852936, -0.5976048111915588, -0.6948779821395874, -0.0954681858420372, -0.7345420122146606, -0.5674816370010376, -1.009477972984314, -0.042817648500204086, -0.8953118324279785, 0.5287594795227051, -0.3964783847332001, 0.265410840511322, 0.12130595743656158, 0.42062804102897644, -0.2084587663412094, -0.7113900780677795, -0.7040511965751648, -0.02634803019464016, 1.158652663230896, -0.6364317536354065, 0.7233625054359436, 0.7556690573692322, 0.16994567215442657, -0.6284552812576294, 0.3002960681915283, 0.6120212078094482, -0.18960483372211456, 0.4009146988391876, 1.1840225458145142, -0.1815675050020218, -0.021204447373747826, 0.2945469319820404, 0.4902942478656769, -0.366807222366333, -1.5909055471420288, -0.8040057420730591, 0.7937600612640381, -1.1054413318634033, -0.09596189856529236, -0.11277925968170166, 0.47315141558647156, -0.27779731154441833, 0.681326687335968, 0.16323113441467285, -0.1601562201976776, -0.19432084262371063, 0.13399356603622437, -1.098233938217163, -0.4186405539512634, -0.13820981979370117, 0.08707858622074127, -0.070807084441185, 0.05071776360273361, -0.884495198726654, 0.2359384447336197, -0.47418081760406494, 0.5636276602745056, -0.2755350172519684, -0.4284449517726898, -0.25007185339927673, -0.5429397821426392, 0.006073294207453728, 0.28201407194137573, -0.35745328664779663, -0.15926218032836914, 0.9779554605484009, 0.20706185698509216, -0.9880998730659485, -0.6706679463386536, 0.3577984571456909, 0.027444710955023766, -0.7096558213233948, -1.8814438581466675, 0.28860902786254883, -0.27408650517463684, -1.7388368844985962, -0.09065983444452286, -0.11122244596481323, -0.7707322835922241, 2.367640495300293, 0.903115451335907, 0.7772443890571594, 0.27798160910606384, -0.07564394176006317, 0.06761118024587631, -0.16172468662261963, -0.3490259349346161, -0.05479094013571739, 0.805797278881073, 0.8843687772750854, -1.0030268430709839, 0.051060955971479416, -1.2802244424819946, -0.30964937806129456, 0.7692853212356567, -0.1452842354774475, 0.8637776970863342, -0.9894555807113647, 0.4210983216762543, -0.5540372133255005, -0.46318960189819336, -0.7086108922958374, 1.0106148719787598, 0.24081672728061676, -0.19172899425029755, -0.6143991351127625, -0.4037051796913147, 1.8146737813949585, 0.7352866530418396, -0.9778244495391846, 0.16031292080879211, -0.23149904608726501, 0.6500179171562195, 2.3085834980010986, -0.42896491289138794, -0.48015096783638, 0.32822689414024353, -0.10238511115312576, 0.1962226927280426, -0.1566774696111679, -1.6368470191955566, 0.5520899295806885, 0.3752043545246124, 0.46595558524131775, 0.19269989430904388, 1.4562183618545532, -0.1303350329399109, 0.6147435307502747, 0.42277175188064575, -0.016384417191147804, 0.6749857664108276, -0.5333929657936096, 0.2335396707057953, -0.6999461054801941, -0.2934343218803406, -0.2876227796077728, -1.162511944770813, -0.3130786418914795, 0.25795048475265503, 0.3214334547519684, 0.013907507061958313, 0.3188575506210327, -0.20223018527030945, -0.14168640971183777, 0.406097412109375, 1.404744029045105, -0.1397281140089035, 0.6312698721885681, 0.822424590587616, -3.5772719383239746, -0.7387055158615112, -0.5439314246177673, 1.0191184282302856, -0.350500226020813, 0.6318678259849548, -1.7061954736709595, -0.05236068740487099, 0.12763279676437378, 0.3657361567020416, 0.398475706577301, 0.05585131421685219, -0.6228137016296387, -0.47542285919189453, 0.09745408594608307, -1.456876516342163, -1.2563005685806274, 0.8383298516273499, 0.6216124892234802, -1.0565065145492554, 0.6038416624069214, -0.18297137320041656, 0.8439196944236755, 0.03581627458333969, 0.21827645599842072, 0.8481032848358154, -0.7960756421089172, 0.3855040669441223, -0.16961157321929932, 0.29097241163253784, 0.027585946023464203, -0.6996533870697021, 0.6769444942474365, -0.8839174509048462, -0.006128578446805477, 0.08431501686573029, -0.29887038469314575, 0.25406086444854736, -0.6619465947151184, -10.041852951049805, -0.42502710223197937, -0.0754348412156105, -0.01644730195403099, 1.0457202196121216, -0.3694864809513092, -0.7149475812911987, 0.5078890323638916, 0.42931804060935974, 0.6217790246009827, 0.34238284826278687, 0.09711366891860962, -0.5628419518470764, -0.32129618525505066, 0.17435681819915771, 0.03138161823153496, 0.01819302886724472, -0.5194560289382935, -0.5267960429191589, 0.8443645238876343, 0.11814608424901962, -0.4465666711330414, -0.5345377326011658, -0.2789705991744995, 0.5193395614624023, -1.359642744064331, 0.06922750174999237, -1.7051886320114136, 0.7088141441345215, 0.6862837076187134, -0.32878515124320984, 0.9116465449333191, 0.8795969486236572, 0.07336609065532684, -0.7949879169464111, -0.09217821806669235, 0.5319052934646606, 0.15995286405086517, 0.16044865548610687, 0.06996358186006546, 0.3148850202560425, -0.28047165274620056, -0.14193101227283478, 0.08415234088897705, 0.06972094625234604, 1.2828761339187622, 0.6232774257659912, 0.7544553279876709, -0.4126134216785431, 0.5282512903213501, -0.6394791603088379, 0.1099572479724884, -0.30303964018821716, -0.22007526457309723, -0.3318272531032562, 0.14208489656448364, -0.698584794998169, -0.630628764629364, -0.3210621178150177, -0.5013582706451416, 0.0011378988856449723, -0.43398821353912354, -0.017283858731389046, 0.43856969475746155, -1.2871408462524414, -0.188993901014328, -0.5803223848342896, 0.05655112862586975, 0.002515306230634451, -0.18503890931606293, -0.018403615802526474, -1.691286325454712, 0.3799411654472351, 0.39467501640319824, -0.42459067702293396, -0.5030530095100403, 0.20785126090049744, 0.587446391582489, 0.18149498105049133, 0.7372034192085266, -0.06450334191322327, 1.0997205972671509, -0.055778369307518005, 1.5511473417282104, 0.4965883493423462, -0.6350898146629333, -0.3194815516471863, 0.6121686697006226, 1.2510986328125, 0.13408420979976654, -0.026361800730228424, -0.13065174221992493, -0.09745816141366959, -0.11186935752630234, 0.19617860019207, 0.007448229007422924, 0.6681498289108276, -0.6254878044128418, -0.5746821165084839, 0.025594480335712433, -0.19818969070911407, -1.6061227321624756, 0.6545506715774536, 0.49489039182662964, 0.4273596405982971, 0.9979151487350464, -1.4039188623428345, 1.1361439228057861, -0.6324998140335083, -0.10928510874509811, 0.6417096257209778, 0.014392183162271976, -0.09793529659509659, -0.7542056441307068, 0.16963310539722443, -0.6803571581840515, -0.5352851748466492, 0.08686573803424835, -0.4132236838340759, -0.35534754395484924, -0.8166165351867676, -0.3489091992378235, 0.6368626952171326, 0.9174143671989441, 0.8686427474021912, -0.5808740854263306, 0.4366382956504822, -0.4131968915462494, 0.64616459608078, 0.14780573546886444, -0.34140709042549133, -0.7398871183395386, -1.275299072265625, 0.8794199824333191, -0.9002687335014343, -1.3879423141479492, 0.4399089515209198, 0.7923374772071838, 0.15142562985420227, -0.617759644985199, 0.1010027602314949, -0.10708202421665192, -0.8719469308853149, 0.3677521049976349, 0.46002256870269775, 0.13634583353996277, -0.3794082701206207, -0.2458808869123459, -0.31417471170425415, 0.4596521854400635, 0.23932714760303497, 0.7922007441520691, -0.08509816229343414, 1.2791868448257446, 0.005336555186659098, -0.5822474956512451, -1.217795491218567, 0.20885109901428223, -0.44717493653297424, 0.19234412908554077, -0.33689606189727783, 0.7093834280967712, 0.7338197231292725, 0.38759535551071167, 0.9078863263130188, 0.5525064468383789, 0.7073619961738586, 0.5952048301696777, 0.05640832334756851, -0.6690440773963928, 0.1830485612154007, 0.5856468677520752, 0.5633383989334106, -1.3244997262954712, 0.33005982637405396, -0.7374492883682251, -1.4439066648483276, -0.21626326441764832, 0.4231985807418823, -0.7425583600997925, 0.49179741740226746, 1.7084325551986694, 0.49895161390304565, 0.05510972440242767, 0.5425062775611877, 2.4425296783447266, -0.8777970671653748, 1.5958114862442017, 0.6051058173179626, -0.04930729791522026, 0.2850947678089142, -0.38311460614204407, -0.12359693646430969, -0.18590416014194489, -0.9251061081886292, 0.6149823665618896, 0.581096351146698, -0.7118372917175293, 0.4546075761318207, -0.9744437336921692, -1.0460482835769653, 0.5598399639129639, -0.6517284512519836, 0.13982073962688446, -0.5573164224624634, -0.24350953102111816, -0.03728996217250824, 0.11216069012880325, 0.32317835092544556, 0.27104225754737854, -0.44823259115219116, -0.8064519166946411 ]
152
0704.0154
Ulrich Mosel
Fabian Eichstaedt, Stefan Leupold, Ulrich Mosel, Pascal Muehlich
Hadrons in Medium -- Theory confronts experiment
Key Lecture at YKIS2006, Kyoto, Dec. 2006
Prog.Theor.Phys.Suppl.168:495-502,2007
10.1143/PTPS.168.495
null
nucl-th hep-ph nucl-ex
null
In this talk we briefly summarize our theoretical understanding of in-medium selfenergies of hadrons. With the special case of the $\omega$ meson we demonstrate that earlier calculations that predicted a significant lowering of the mass in medium are based on an incorrect treatment of the model Lagrangian; more consistent calculations lead to a significant broadening, but hardly any mass shift. We stress that the experimental reconstruction of hadron spectral functions from measured decay products always requires knowledge of the decay branching ratios which may also be strongly mass-dependent. It also requires a quantitatively reliable treatment of final state interactions which has to be part of any reliable theory.
[ { "created": "Mon, 2 Apr 2007 09:36:31 GMT", "version": "v1" } ]
2008-11-26
[ [ "Eichstaedt", "Fabian", "" ], [ "Leupold", "Stefan", "" ], [ "Mosel", "Ulrich", "" ], [ "Muehlich", "Pascal", "" ] ]
07
[ -0.7436224222183228, -0.23135130107402802, 0.8899369835853577, -0.22331716120243073, -0.5532939434051514, 0.6698650121688843, 0.48607146739959717, -0.010238016955554485, 1.8906047344207764, -1.3593113422393799, -1.1344271898269653, 0.11189895123243332, -0.3503207266330719, -0.3596775233745575, -0.7462666034698486, -0.7571571469306946, -0.3230913579463959, -1.4175739288330078, 0.3486018478870392, -0.6349997520446777, 0.062112171202898026, -0.7163292169570923, 0.05256139114499092, -0.35854920744895935, -0.2723620533943176, 0.6338619589805603, -0.7432539463043213, 0.8767071962356567, -1.019546389579773, 0.47334763407707214, 0.7852177619934082, -0.040320709347724915, -0.2543841600418091, 0.008099564351141453, -0.010514925234019756, 0.1279095560312271, 0.2312753051519394, -1.5159192085266113, -0.08982027322053909, 0.3999881446361542, -0.185818150639534, 0.5099283456802368, -0.15145325660705566, 1.5868290662765503, -0.11641048640012741, -0.5115369558334351, -0.7933598756790161, -0.9901064038276672, -0.039320990443229675, 1.9526256322860718, 0.5544499158859253, 1.3075566291809082, -0.45932430028915405, 1.632243037223816, -0.19898603856563568, 0.5518438220024109, 1.155465006828308, 0.49613437056541443, -0.4968387484550476, -1.8885129690170288, 0.41428691148757935, -0.35308384895324707, -0.38252973556518555, -0.5411015748977661, -0.12495448440313339, -0.27386918663978577, 0.441241592168808, 1.1472622156143188, 0.7604390978813171, 0.5370309948921204, -0.38196608424186707, -0.025582056492567062, 1.1357789039611816, -0.18449780344963074, -1.260757327079773, -0.2480592429637909, -0.2601395845413208, -0.782804548740387, 1.6437792778015137, -0.8839014768600464, 0.5475902557373047, 0.7759186029434204, -1.2512574195861816, -1.7139770984649658, 0.7297428846359253, 0.1384836882352829, 0.9410054683685303, 0.05849463492631912, -1.6483186483383179, 0.1912681758403778, 0.1660403311252594, -1.0627052783966064, 0.0017165192402899265, -1.0801831483840942, -0.7136042714118958, -0.2510796785354614, -0.7943452596664429, 0.3469179570674896, 0.15404389798641205, -0.33405664563179016, -0.287931889295578, -0.5679529905319214, -0.015189584344625473, -0.03581487759947777, -0.18634304404258728, 0.02910393849015236, -0.5565056204795837, 0.5445380806922913, -0.5529425144195557, -0.16477283835411072, 0.6901911497116089, -1.0609095096588135, -0.0989697128534317, -1.4155558347702026, -1.1156699657440186, 0.43645957112312317, -0.24590951204299927, 0.42893534898757935, 0.23810215294361115, 1.3417127132415771, -0.5486279726028442, -0.12107362598180771, 0.8401849269866943, -0.3954014480113983, 0.9772305488586426, -0.3907376527786255, 0.12565118074417114, -0.8835798501968384, 0.4122593402862549, -0.23127540946006775, -0.10224994271993637, -0.04104670137166977, 0.7826341986656189, 1.8605384826660156, -0.0579528771340847, -0.35464680194854736, -0.7669740915298462, -0.06428453326225281, 0.1306091994047165, -0.4347725808620453, 0.10642775893211365, -0.5749364495277405, -1.2576149702072144, -0.036591626703739166, -1.2264107465744019, 0.2366398423910141, -0.7682696580886841, -0.9593948721885681, 0.5936289429664612, 0.5910094976425171, -0.12441173940896988, -0.7228394150733948, -0.12972620129585266, 0.8465412855148315, -0.1267489492893219, -0.5388299226760864, -0.22352838516235352, 1.5924797058105469, 0.14435189962387085, 0.8372817635536194, 0.8369386792182922, -0.4155125319957733, 1.9439208507537842, -0.43919530510902405, 0.15556243062019348, -1.6026151180267334, 0.5518912672996521, 1.2648844718933105, -0.5924974083900452, -0.05141274258494377, 0.5260986089706421, 0.892988920211792, 0.2201908379793167, -0.6156877279281616, -1.0347226858139038, 0.09022705256938934, 0.12016160041093826, -0.9451489448547363, -0.5868533253669739, -0.04610462486743927, 0.5353288650512695, -0.4011616110801697, 0.10925312340259552, -0.6441496014595032, -0.24785716831684113, 0.5224376916885376, -0.008391373790800571, -0.8283517360687256, -0.7417829632759094, 0.554408073425293, 0.4877510070800781, 0.01722569577395916, -1.9510473012924194, 0.7877277135848999, -0.1546349823474884, 0.010497265495359898, 0.7095807790756226, 0.21818876266479492, -0.5695966482162476, 0.5256564021110535, 0.03948676213622093, -0.3671487867832184, 0.08040665090084076, -0.3626416325569153, 1.543574333190918, 0.4050610065460205, 0.46465158462524414, 0.5640698671340942, 0.036879394203424454, 0.2900165319442749, 0.45000526309013367, 0.5300614833831787, 0.16491298377513885, 0.06869197636842728, 1.776434302330017, -0.3504873812198639, 0.6571469902992249, -0.6617817878723145, -0.36646386981010437, -0.15477100014686584, 0.7918392419815063, 0.4160967469215393, 0.14306862652301788, 1.1767628192901611, -0.6695601940155029, -0.11821763217449188, 0.07145053148269653, 1.0658851861953735, 0.029543783515691757, -0.1523604542016983, -0.13404513895511627, -0.017937542870640755, -0.14062437415122986, -0.977700412273407, 0.40972238779067993, 0.7818049788475037, -1.4683551788330078, -0.661029040813446, -0.4094443619251251, 0.1851413995027542, 0.407308965921402, -0.05447401478886604, -0.0037993278820067644, -0.3430233597755432, -0.14741480350494385, -0.10972607135772705, 0.137321338057518, -0.2811620235443115, 0.3481789827346802, 0.06420718878507614, -0.7037683725357056, 0.8967324495315552, 0.9854808449745178, 0.2645919919013977, -0.05503436177968979, -0.43776482343673706, -0.15362854301929474, -1.1975208520889282, 0.2301211655139923, -1.0937085151672363, 0.3364119529724121, 0.5066302418708801, 0.45885777473449707, 0.16311709582805634, 0.8455308079719543, -1.555103063583374, 1.351318359375, 0.015404419042170048, -0.760970413684845, -0.24227406084537506, -0.5591792464256287, 0.15890994668006897, 0.506076991558075, -0.8480337858200073, 0.03616268187761307, -0.38402703404426575, 0.3697887063026428, 0.8787536025047302, -0.2386714220046997, -0.41586148738861084, -0.5810298323631287, 0.026831788942217827, 0.2711498439311981, -0.1476280391216278, -0.7914931178092957, -1.0559194087982178, -0.4642364978790283, -0.3936489224433899, 0.38911357522010803, 0.43521830439567566, 0.47319039702415466, 0.2220795601606369, 0.23582035303115845, -0.9272295832633972, 0.8736452460289001, 0.5889320373535156, 0.2975348234176636, -0.1711767166852951, 0.523497998714447, -0.3001261353492737, 0.14077387750148773, -0.004701169673353434, 0.7831661105155945, -0.2551516890525818, 1.1558109521865845, -0.3615154027938843, 0.04449048638343811, 0.39649301767349243, 1.0612729787826538, -0.4104852080345154, -0.4087695777416229, -0.9120633602142334, 0.37640470266342163, 0.9762473702430725, 0.2879447937011719, 0.48891469836235046, -0.1572532057762146, -0.9832930564880371, -0.7170772552490234, 0.22774848341941833, 1.1502190828323364, 0.522916316986084, 1.0067400932312012, 0.7627710700035095, -0.6070094704627991, -0.8334978818893433, 0.5723254084587097, -0.023143190890550613, -0.25168904662132263, -0.559928834438324, -0.00008543403237126768, 1.0057055950164795, 0.5800361633300781, -0.20424112677574158, 0.2973698377609253, 0.5824440121650696, -0.40813732147216797, 0.67930006980896, -0.17922350764274597, 0.27469760179519653, -0.2840293049812317, 0.3457973003387451, -0.567611813545227, 0.8190540671348572, -1.0163185596466064, 0.32883355021476746, 0.09718857705593109, 0.17411279678344727, 0.2689124345779419, -0.11758767813444138, -1.3043456077575684, -0.2915771007537842, 1.053475022315979, 0.7206544876098633, 1.0827720165252686, -0.12483958899974823, 0.6248688697814941, 0.7373452186584473, -0.6246496438980103, 0.26768606901168823, -0.9867414832115173, 0.4909575879573822, -0.4253353476524353, 0.22121049463748932, -0.20084160566329956, -0.2842123508453369, -0.6007380485534668, -0.36929622292518616, -0.8093405961990356, 0.23886752128601074, -1.5859605073928833, -0.3203049302101135, 0.12749528884887695, 0.7793294787406921, -0.3949735462665558, 0.42834722995758057, 0.6587067246437073, -0.32170289754867554, -1.9072457551956177, -0.18932446837425232, -1.166605830192566, 0.29918304085731506, -1.2591253519058228, 0.04331425949931145, -0.6245198249816895, 0.8003195524215698, -0.9342418909072876, 0.485396146774292, 0.19629782438278198, 1.01964271068573, -0.412811279296875, -0.08197400718927383, 0.5009843707084656, -0.3467813730239868, -0.39227187633514404, 0.11958476155996323, 1.303275465965271, 1.0322740077972412, -0.346357136964798, -0.3758833706378937, 0.5620604753494263, 0.0661807581782341, -0.029664425179362297, -0.9974887371063232, 0.004188526421785355, 0.4499835968017578, -0.2966497242450714, 0.10527057945728302, 0.46835777163505554, -0.5874710083007812, -0.08239202201366425, 1.2257540225982666, -0.28101980686187744, -0.9765883684158325, 0.6363350749015808, -0.7970460653305054, -0.18805892765522003, 0.5337461829185486, -0.8360498547554016, 0.06439074873924255, 0.53343266248703, -0.8460238575935364, -0.08448412269353867, 1.2133581638336182, 0.25340569019317627, -0.215465247631073, -0.6096134185791016, -0.16889598965644836, 0.3333234190940857, 0.06645572185516357, 0.3134754002094269, 0.4817397892475128, 0.7175509333610535, -0.5911357402801514, 0.5038071274757385, 0.6690162420272827, 1.0155407190322876, -1.0840414762496948, -0.07087717950344086, -0.3109497129917145, -0.08549750596284866, 0.2515164613723755, 0.6315680742263794, -0.41309812664985657, -0.027376648038625717, -0.8011338114738464, -0.23635868728160858, -0.33114078640937805, -0.849287211894989, 0.712657630443573, 0.26232239603996277, 0.9529670476913452, 0.25853297114372253, -0.7072945237159729, 0.03466536104679108, -1.15640127658844, -0.49599510431289673, -0.7974144816398621, -1.2280642986297607, -0.41892001032829285, 0.18502797186374664, 0.456223726272583, -0.4070720076560974, -1.4281057119369507, 0.9193283915519714, 0.0727258250117302, -0.16315752267837524, -1.0919491052627563, -0.6458698511123657, -1.5946590900421143, 0.6077836155891418, -0.18410243093967438, 0.7532581090927124, -0.28576046228408813, -0.5590692162513733, 1.6291289329528809, 1.7086765766143799, -0.6296110153198242, 0.29875648021698, -0.07948023080825806, 1.5551410913467407, 2.1658308506011963, -0.8586710095405579, -0.13920240104198456, 0.41548481583595276, 0.5217909812927246, -0.5332383513450623, 0.03420966491103172, -0.37084540724754333, 0.5139779448509216, 0.3566040098667145, 0.25680071115493774, -0.07569289207458496, 1.1765280961990356, -0.026415154337882996, -0.2849650979042053, 0.02204015664756298, 0.6162536144256592, -0.8446943759918213, 0.6502324938774109, 0.479535311460495, -0.1989784985780716, 0.7088750004768372, -0.8937134146690369, -0.3517417907714844, 0.32647472620010376, -0.13921470940113068, 0.9863000512123108, -0.1611463725566864, -0.2938011884689331, -0.2064424604177475, 1.5408025979995728, 0.3204238712787628, 1.0823111534118652, -0.6754398345947266, -0.59694504737854, 0.7708136439323425, -2.6982038021087646, -0.3978919982910156, -1.423966407775879, -0.02678597904741764, 0.5666324496269226, -0.38119086623191833, 0.05892907828092575, 0.037896402180194855, 0.2015816569328308, 0.12029802799224854, 0.8393481373786926, -1.0492057800292969, 1.4201009273529053, -0.3023190498352051, -0.0020442125387489796, 0.19525422155857086, -1.142202615737915, -0.900638997554779, -0.9443396925926208, 0.7093105912208557, 0.40858152508735657, -0.5933883190155029, -0.5283744931221008, -0.0018778287339955568, 0.772718608379364, 0.19947607815265656, -2.049124240875244, -0.817013680934906, -0.5051679611206055, -1.2994728088378906, 0.020793691277503967, -0.17600390315055847, -0.5532804727554321, -0.0424964465200901, -0.06379801034927368, -0.8664208650588989, 1.353050708770752, 0.6836811304092407, -0.11773668229579926, -8.000069618225098, 0.5744941830635071, 0.598909318447113, -0.72487473487854, -0.28707319498062134, -0.744452953338623, -0.24838316440582275, -0.3600550591945648, -1.1250022649765015, -0.9259301424026489, 1.406600832939148, 0.20201650261878967, 1.2331594228744507, -0.016315674409270287, 0.05419302359223366, -0.6124204397201538, 0.26383253931999207, -0.336625337600708, -0.7667897343635559, 0.43039900064468384, -0.3033505380153656, 1.5815093517303467, 0.02551555447280407, -0.4600713551044464, 0.338836669921875, -0.7176833748817444, 0.11575081944465637, -0.24481618404388428, -1.280208706855774, 0.5576213598251343, -0.49840688705444336, 2.013493299484253, -0.27928489446640015, 0.9781925678253174, -0.5188900828361511, -2.430544376373291, 0.3273221254348755, 1.1590495109558105, 0.5137578845024109, 0.159293994307518, 0.13156303763389587, 0.4925227761268616, -0.5136805772781372, 0.3039674460887909, -0.08082588762044907, 0.12417269498109818, 1.2503490447998047, -0.1254637986421585, -0.6101813316345215, 0.4554126262664795, 0.437579870223999, -1.8523221015930176, 0.40832632780075073, 0.7666779160499573, 0.45683956146240234, -0.49801480770111084, -0.597355842590332, 0.17576029896736145, -0.21546724438667297, 0.2877250015735626, 0.3455372154712677, -0.3679388165473938, -0.09737075865268707, -2.263040781021118, 0.29086920619010925, -1.5367470979690552, -0.5637410283088684, -0.3006328046321869, -0.506676197052002, 0.34792381525039673, -0.27738314867019653, -1.569069504737854, -0.1411868929862976, -0.15551818907260895, -0.5895734429359436, 0.29614365100860596, 0.1480507105588913, -0.4491618275642395, 0.6136376261711121, 1.556406855583191, 0.4172409772872925, 0.36359867453575134, -0.5127727389335632, -0.8834287524223328, -0.060792747884988785, -0.8919320702552795, -1.1643251180648804, -1.4548250436782837, 0.6065660119056702, 0.16736304759979248, 0.35981595516204834, -1.0801584720611572, -0.518252432346344, 1.2969386577606201, -0.5496948957443237, -0.5947045087814331, 0.4979572296142578, -0.5518565773963928, -1.179813265800476, -0.6297944784164429, -1.7269989252090454, -0.21849657595157623, 0.5611059069633484, -0.025003764778375626, -0.05515268072485924, -0.6576684713363647, -0.6008409857749939, -0.5133832693099976, 0.08250914514064789, 0.43000397086143494, -0.6386417746543884, -0.5203514099121094, -0.0637705847620964, -0.4448181688785553, -0.35880377888679504, -1.1135042905807495, -0.5334348678588867, -0.28657054901123047, -1.0318599939346313, -0.9756660461425781, -0.5395355820655823, 1.3268405199050903, -0.47728636860847473, -0.0959741473197937, 0.18781276047229767, -0.08524701744318008, -0.304060697555542, -1.745119333267212, -0.5489324927330017, -0.5427383780479431, -0.5139164328575134, -1.349931240081787, 0.0014134298544377089, -0.21301954984664917, -0.44227805733680725, 0.38338521122932434, 0.28783559799194336, 0.010969238355755806, 0.07756886631250381, 0.5111187100410461, 1.2767200469970703, -0.5365074276924133, 0.3379843831062317, -0.8684243559837341, -0.05798235908150673, 0.06662973761558533, 0.10090562701225281, 0.3495350182056427, 0.08653701096773148, 0.4333916902542114, 0.061157241463661194, 0.7419500946998596, -0.12006698548793793, 2.009324312210083, -0.056836675852537155, -0.17078767716884613, -0.49486878514289856, -0.9942417144775391, 0.5796938538551331, -0.070964016020298, 0.24681363999843597, 0.46078208088874817, -0.0623808316886425, 0.1038757935166359, -0.715957522392273, -0.3233494460582733, -1.1527212858200073, 1.4087481498718262, 1.5658626556396484, -0.3554535210132599, -0.14186109602451324, 0.018075769767165184, -1.8083651065826416, 0.6204651594161987, -0.4477541744709015, 0.9947578310966492, -0.7661733031272888, 1.8030463457107544, -0.2789630889892578, -0.9124016761779785, 0.2567574679851532, 0.5706257820129395, 0.2951022982597351, 0.5566363334655762, 1.1034436225891113, 0.36681675910949707, -0.3829234838485718, 0.4826037287712097, -0.4018082916736603, 0.0307483933866024, -0.1799573004245758, 0.09575746953487396, -1.5870784521102905, 0.5211079716682434, -0.4769715666770935, -1.123031735420227, -0.12917694449424744, -0.1932770162820816, -1.0928691625595093, -0.023881377652287483, 0.12830275297164917, 0.06482573598623276, 1.7305938005447388, 0.4836418926715851, -0.053718484938144684, -0.028364423662424088, -0.25619077682495117, 0.026907220482826233, 0.5101550221443176, 0.26023152470588684, -0.1378147453069687, -0.588388979434967 ]
153
0704.0155
Floris van der Tak
Floris van der Tak (SRON Groningen), John Black (Onsala), Fredrik Schoeier (Stockholm), David Jansen and Ewine van Dishoeck (Leiden)
A computer program for fast non-LTE analysis of interstellar line spectra
Accepted by A&A; 18 A4 pages, 11 figures
null
10.1051/0004-6361:20066820
null
astro-ph
null
The large quantity and high quality of modern radio and infrared line observations require efficient modeling techniques to infer physical and chemical parameters such as temperature, density, and molecular abundances. We present a computer program to calculate the intensities of atomic and molecular lines produced in a uniform medium, based on statistical equilibrium calculations involving collisional and radiative processes and including radiation from background sources. Optical depth effects are treated with an escape probability method. The program is available on the World Wide Web at http://www.sron.rug.nl/~vdtak/radex/index.shtml . The program makes use of molecular data files maintained in the Leiden Atomic and Molecular Database (LAMDA), which will continue to be improved and expanded. The performance of the program is compared with more approximate and with more sophisticated methods. An Appendix provides diagnostic plots to estimate physical parameters from line intensity ratios of commonly observed molecules. This program should form an important tool in analyzing observations from current and future radio and infrared telescopes.
[ { "created": "Mon, 2 Apr 2007 09:38:00 GMT", "version": "v1" } ]
2015-05-13
[ [ "van der Tak", "Floris", "", "SRON Groningen" ], [ "Black", "John", "", "Onsala" ], [ "Schoeier", "Fredrik", "", "Stockholm" ], [ "Jansen", "David", "", "Leiden" ], [ "van Dishoeck", "Ewine", "", "Leiden" ] ]
07
[ -0.20107406377792358, 0.2542523443698883, 0.010918714106082916, -0.6605505347251892, -0.47724485397338867, 0.6796382665634155, 0.2646719217300415, -0.06804122030735016, -1.1908020973205566, 0.5149219632148743, -0.1313273012638092, 0.1241443008184433, 0.22742794454097748, -0.22758036851882935, -1.1953531503677368, 0.5399656891822815, -0.2662440240383148, -0.25082749128341675, 1.1181011199951172, 0.5300115346908569, -0.11283081769943237, -0.6101014018058777, 0.1662740409374237, -0.664846658706665, 0.5043655633926392, 0.26206183433532715, -0.4771393835544586, 0.16222929954528809, 0.34006521105766296, -0.08840042352676392, 0.35243120789527893, -0.45323774218559265, -0.4240286648273468, 1.5210626125335693, -0.7547065019607544, 0.3117194175720215, -0.5158218741416931, -0.395872563123703, -0.06136628985404968, 0.08124270290136337, 0.863194465637207, -0.047309134155511856, 1.2641252279281616, -0.581647515296936, -0.3105292320251465, -0.12347418814897537, 0.7587815523147583, 1.032471776008606, -0.19611872732639313, -1.2440776824951172, 0.5613071322441101, -1.4848999977111816, 1.0741585493087769, 0.5339842438697815, 0.7725496888160706, -0.14055660367012024, -1.305590271949768, 0.6417773365974426, -0.09181825071573257, 0.4591560363769531, 0.16836017370224, -0.5388594269752502, 0.33414867520332336, 0.48564180731773376, -0.5811128616333008, -0.4720376431941986, 1.0281810760498047, 1.4912232160568237, 0.5997682213783264, -1.9364882707595825, -0.4682949185371399, -0.9579004645347595, 0.36305034160614014, -0.5095676779747009, -0.9983180165290833, 0.4270409941673279, -0.35130995512008667, -0.606355607509613, 0.9851235151290894, -1.3239926099777222, -0.1054028645157814, -0.050903331488370895, 0.12424852699041367, -0.7431641221046448, -0.6270207762718201, -0.8922431468963623, -0.09840751439332962, 0.14044994115829468, -0.25735074281692505, -1.1111375093460083, -1.463118553161621, -1.0590357780456543, 0.016359271481633186, -0.591946542263031, -0.21247681975364685, 0.011402837000787258, -0.8330296874046326, 1.4093215465545654, 0.6287092566490173, 1.0019489526748657, -1.3465455770492554, 1.280890703201294, 0.1609141081571579, 0.6026648283004761, 1.1334228515625, 0.10549436509609222, 0.18319933116436005, -1.4994721412658691, -1.627747654914856, 0.1359260529279709, 1.066163420677185, 0.9284378886222839, -0.23634950816631317, 0.6991534233093262, -0.9371148347854614, 1.0331186056137085, -0.6578906178474426, 0.35144364833831787, 0.3088575005531311, 0.4096165597438812, 1.700472354888916, -0.1717795580625534, -1.8439518213272095, -0.0025655932258814573, 0.6686708927154541, 0.09199821949005127, -0.48369696736335754, -0.4772740304470062, 0.03520806133747101, -0.6861085295677185, -0.5199872255325317, 0.589155912399292, -0.07189350575208664, 1.4168727397918701, 0.5258082151412964, 0.13049831986427307, -0.5286601781845093, -0.03509819507598877, 0.14301767945289612, -0.5235163569450378, 0.052939992398023605, -0.21733975410461426, -0.1927027404308319, -0.2581706941127777, -0.9722424745559692, 0.20451083779335022, 0.23973150551319122, 0.48670631647109985, 0.23121967911720276, -1.4155011177062988, -0.016260897740721703, 0.2137831300497055, 0.7211630940437317, -0.2922404408454895, 0.732875645160675, 0.5677112340927124, 0.2138907015323639, 0.5407755970954895, -0.3015325665473938, -0.5382853746414185, 0.4389776587486267, -0.2105078399181366, 0.5340947508811951, -0.48262903094291687, -1.3399492502212524, -0.14337697625160217, -0.5262065529823303, 0.09468720108270645, -0.24688659608364105, 0.12122784554958344, -0.33608779311180115, -0.7304227948188782, -0.013470352627336979, 0.49705076217651367, -0.24863213300704956, -0.5025942325592041, 0.18126946687698364, 0.18709011375904083, -0.1609676480293274, 0.2564459443092346, -0.08031632006168365, 0.2745003402233124, 0.15076680481433868, 0.2373039722442627, 0.32698920369148254, 1.0290369987487793, -0.3975124657154083, 0.4352359175682068, 1.0267064571380615, -0.027283789590001106, -0.05351322144269943, 0.10525133460760117, -0.5729869604110718, 0.6631525754928589, -1.0291980504989624, 0.15165100991725922, -0.5301662683486938, -0.051579542458057404, -0.3178604543209076, -0.1267441213130951, 0.2512663006782532, 0.03344269096851349, -0.19735677540302277, 0.4119216501712799, 0.08447343856096268, -0.4645533859729767, 0.36874663829803467, 0.8334929943084717, -0.5309983491897583, -0.03919625282287598, -0.5762115716934204, 0.2819631099700928, 0.15303339064121246, -0.24482432007789612, 0.7743772268295288, -0.26877057552337646, 0.8890472054481506, -1.4279104471206665, -0.8988527655601501, -0.9799339175224304, 0.25173220038414, 0.3816450834274292, 1.0185078382492065, -0.3974701762199402, -0.36235255002975464, -0.3125196695327759, 0.5891338586807251, -1.196780800819397, -0.22888940572738647, -0.8505767583847046, 0.5995113849639893, -0.0650094747543335, -2.042464017868042, -0.26668301224708557, 1.1390444040298462, 0.29147207736968994, -0.3025628626346588, 0.2457737773656845, -0.1408504843711853, -0.08862246572971344, -0.5620245337486267, 0.5923279523849487, 2.412574291229248, 0.6468183994293213, -1.3267111778259277, -0.5990822911262512, 0.5189875364303589, 0.8049525618553162, -0.2541816830635071, -0.32536011934280396, -1.4367763996124268, 0.2756953537464142, -0.2704329490661621, -0.37467893958091736, -1.000037670135498, 0.24522928893566132, 0.10396289080381393, -0.9726561307907104, 0.7127543687820435, -0.13359776139259338, -0.10848676413297653, 0.624574601650238, 0.008836502209305763, 0.927036464214325, -0.26033568382263184, -0.7443134784698486, -0.22105275094509125, -0.7978522181510925, -0.10898195952177048, -1.5872522592544556, 1.0588035583496094, -0.6432006359100342, 0.44285446405410767, 0.792923092842102, 0.4348193407058716, -0.32822874188423157, -0.4694024920463562, -0.8304314017295837, 0.2981010973453522, -0.7954016327857971, -0.20600810647010803, -0.6849122047424316, 0.5962151288986206, 0.3160438537597656, -0.3433988392353058, -1.122294306755066, 1.4002779722213745, 0.05658445507287979, 0.1227976456284523, -0.6410980820655823, 0.11384747922420502, -0.28757697343826294, -0.557548999786377, -0.8655881881713867, 0.7546337842941284, -0.29159292578697205, 0.00035957922227680683, -1.861701250076294, 1.261173963546753, -0.35084739327430725, 0.586554765701294, -0.3857195973396301, -0.23452910780906677, 0.8136206865310669, 1.3079423904418945, -0.5185596346855164, -0.7330471277236938, 0.32093220949172974, -0.9196000099182129, -0.07054667174816132, 0.06921049952507019, 0.030396178364753723, -0.529579222202301, 0.7156215906143188, 0.3171354830265045, -0.270719051361084, 0.9366897940635681, -0.012269571423530579, -0.6085891723632812, -0.9284979104995728, 0.041980206966400146, 0.2603013515472412, -0.20309893786907196, -0.07430382817983627, 0.20717547833919525, -0.35974356532096863, -0.4833841621875763, -0.22095894813537598, 0.8220811486244202, -0.16990667581558228, -0.09343329817056656, 1.2959227561950684, -1.1085225343704224, 0.4659784734249115, 1.2384684085845947, 0.14355558156967163, 0.734512984752655, 0.856683611869812, 0.3364660143852234, -0.45266517996788025, 1.1183582544326782, 0.9955598711967468, 0.8885838985443115, -0.574171781539917, -0.12745143473148346, -0.32377102971076965, -0.6931897401809692, -0.11376126855611801, 0.3493812680244446, 0.15555615723133087, -0.4712820053100586, 0.8964263200759888, -1.0013253688812256, -1.9955568313598633, -0.48676908016204834, 0.16147105395793915, 0.7456636428833008, 1.2037739753723145, -0.12933415174484253, -0.06327366083860397, -0.25329074263572693, -0.7842660546302795, -1.8218834400177002, 0.17405696213245392, 0.5607698559761047, -0.45037445425987244, -0.641645610332489, -0.5876603722572327, -0.8185105919837952, 0.6291889548301697, -0.3088107705116272, 0.26694121956825256, -0.3369395136833191, -0.7181268930435181, -0.5020013451576233, 0.3617101311683655, -0.010129531845450401, 0.2923602759838104, 0.5971825122833252, -0.6546955704689026, -0.8508439064025879, 0.3791823983192444, -0.6513532400131226, 0.8544132113456726, -0.6123657822608948, 0.6005849242210388, -0.6361230611801147, 0.43107348680496216, -0.05936333164572716, 0.7247996926307678, -0.11745235323905945, -0.6107882857322693, 0.032341118901968, 0.20695483684539795, 1.8036797046661377, 0.4955170154571533, -0.721088171005249, -0.8350335359573364, 0.37966057658195496, -1.2873305082321167, 0.7299510836601257, 0.281166136264801, 1.5354740619659424, -0.5389953851699829, -0.8701229691505432, -0.3849736452102661, 0.219877690076828, -0.032594479620456696, -1.0164308547973633, -0.9041560888290405, 0.18321935832500458, -0.8621992468833923, 0.22249151766300201, -0.5288684964179993, 1.3853591680526733, -0.41803228855133057, 0.4100680351257324, 0.9644891619682312, 0.5427576303482056, -1.6797964572906494, 0.3349253833293915, -0.8048503994941711, -0.5291550159454346, 1.0249438285827637, -0.5637598633766174, -0.8540070652961731, 0.5134122967720032, -0.4082057774066925, 0.8780863285064697, 0.5743076205253601, -0.11726085841655731, 0.11434709280729294, -0.6153764128684998, -0.3327421247959137, 0.5128373503684998, -0.06380020827054977, -0.917454183101654, -0.393513947725296, -0.1356932371854782, 1.20513916015625, 0.31447407603263855, -0.7382898926734924, -0.3738473057746887, 0.07481478154659271, -0.14796026051044464, -0.4982101619243622, -0.4078837037086487, 0.28666943311691284, -0.5693569779396057, 0.9191758632659912, -1.258733868598938, -1.417230486869812, 0.38933065533638, -0.01949967071413994, -0.6283489465713501, 0.7166686058044434, -0.4851768910884857, 0.3018907308578491, -2.3960025310516357, 0.2334791123867035, 0.1892961710691452, -0.5621061325073242, -1.0475199222564697, 0.6492039561271667, -0.05887765809893608, -0.3370501399040222, 0.5593329071998596, -0.5971958041191101, -0.6171699166297913, 0.33298882842063904, 0.030732592567801476, -0.2854095697402954, 0.08686728030443192, 0.13804538547992706, -0.6531881093978882, 1.8340415954589844, -1.470746636390686, 0.1862601488828659, -0.20352326333522797, -1.1633943319320679, 0.9282880425453186, -0.16522915661334991, -0.815808117389679, 0.2812090516090393, -0.6616514921188354, 1.0936044454574585, 0.5406107306480408, -1.425991415977478, 0.4424267113208771, 0.8945595622062683, -0.5546805262565613, 0.10273803770542145, -0.0351271852850914, 0.7139204144477844, 0.2568638026714325, 0.012402059510350227, -0.20960623025894165, -0.3212076425552368, 0.19109773635864258, -0.011241975240409374, -0.44581180810928345, -2.4434282779693604, -0.4786645472049713, -0.405244916677475, -0.7438405752182007, -0.2252131551504135, 0.6521450281143188, -0.9277908205986023, -1.3360787630081177, 1.0338685512542725, 0.01599116064608097, 0.8279929161071777, 0.7489655613899231, -0.23039773106575012, 0.20499205589294434, 0.5528067946434021, 0.5682564377784729, -2.7863199710845947, 1.1591113805770874, -0.233815997838974, -0.7021182775497437, -0.4606688320636749, -0.20575851202011108, -0.49834054708480835, -0.5894957780838013, 0.08297023922204971, 0.394547700881958, -0.6375512480735779, 0.5572882294654846, 1.2609429359436035, 0.11229320615530014, -0.0960749015212059, -0.5717455744743347, -1.1612670421600342, 0.4386752247810364, -0.6613644361495972, -0.22373396158218384, -0.31189343333244324, -0.4586088955402374, -1.0942867994308472, -0.38814112544059753, 0.24704530835151672, -0.8973410725593567, -0.7541905045509338, -0.1011151447892189, -0.3147498369216919, 0.36448511481285095, -0.19180911779403687, 1.8346171379089355, -0.38780874013900757, -1.1460440158843994, -0.8753218650817871, 1.142635464668274, -0.8554835319519043, 0.6996601223945618, 1.1496765613555908, -7.971603870391846, 0.6005247831344604, 0.5497562885284424, 0.21024951338768005, -0.17458359897136688, 0.14142872393131256, -0.16245512664318085, -0.033705566078424454, 0.44628050923347473, 0.8442195057868958, -0.4338805079460144, 0.1983034610748291, -0.42561885714530945, -0.12591035664081573, -0.7345876693725586, 0.5020758509635925, 0.5085753798484802, 0.4604412317276001, -1.7776377201080322, -0.04514174535870552, -1.0050164461135864, -0.24446232616901398, 0.18045587837696075, -0.8135740160942078, 0.8540320992469788, -0.034773796796798706, -0.8297924995422363, 0.8660205006599426, -0.8898868560791016, -0.3165488541126251, -1.2385624647140503, -0.17923861742019653, 0.7563164234161377, -0.4344756603240967, 0.978188157081604, -0.13267561793327332, 0.777614951133728, 0.009628348052501678, 0.6066307425498962, -0.17236797511577606, 0.13377989828586578, 0.7116531133651733, 1.295966386795044, -1.076150894165039, -0.41483166813850403, 0.032137054949998856, -0.48038601875305176, -0.017995323985815048, 0.19087669253349304, 1.6740740537643433, 0.5139721632003784, -1.050707221031189, 1.2743257284164429, 0.7659484148025513, -0.7776815891265869, -1.425675630569458, -0.41512346267700195, 0.07443693280220032, -0.26353299617767334, -1.4622503519058228, 0.11165996640920639, -0.3565843403339386, -0.9974591135978699, -0.6253622174263, 0.06776173412799835, -0.1665789932012558, 0.42071935534477234, 0.13663560152053833, -0.16365544497966766, 0.21158231794834137, -0.2624027729034424, -0.9334268569946289, 0.9631365537643433, -0.32843926548957825, -0.4614902138710022, -0.4960949718952179, -0.2887395918369293, -1.1523191928863525, 0.2759186327457428, 0.9909431338310242, 0.22657933831214905, 1.794655680656433, -0.07027493417263031, 1.6925771236419678, 0.06051461771130562, -0.40099984407424927, -0.4629083275794983, 0.7153721451759338, -0.6593623161315918, 0.4986448884010315, -1.3287756443023682, -0.0772927924990654, 0.3295927345752716, -0.5167040228843689, -0.4704023003578186, 1.3019980192184448, -0.21610137820243835, -0.14291638135910034, -0.4060388207435608, -1.130833625793457, 0.6968413591384888, 0.06301654130220413, 0.7601851224899292, -0.012875832617282867, -0.6658113598823547, -0.12795470654964447, -0.3612987995147705, -0.9498598575592041, 0.4661223292350769, 1.8815600872039795, 0.883078932762146, -0.016231242567300797, -0.5301570892333984, 0.5447881817817688, 0.3348080515861511, 0.40660759806632996, 0.9149771332740784, 0.015236377716064453, 0.1614171713590622, 1.3336035013198853, -0.37110158801078796, 0.0625820904970169, -0.8310791850090027, 0.38432618975639343, -0.2257910519838333, 0.23019714653491974, 0.8097531795501709, -0.33024775981903076, -0.14951087534427643, -0.04772541671991348, -0.36448806524276733, -0.028209200128912926, 0.0962899774312973, -1.5694236755371094, -0.49345436692237854, 0.9345464706420898, 0.3479214906692505, 0.278367280960083, 0.29048797488212585, 0.2891959249973297, 1.4830763339996338, -1.629865288734436, 0.3170950412750244, -0.5193547606468201, 0.4063478708267212, -0.8131688833236694, 0.38165703415870667, 0.9239690899848938, -0.48050153255462646, -0.09921835362911224, -0.05557093396782875, -0.90754234790802, -0.42397111654281616, 0.8356185555458069, -0.34396958351135254, 0.294255793094635, -1.0133484601974487, 0.06348323822021484, -0.18734245002269745, 0.5920616388320923, 0.2979399263858795, 0.5447641611099243, -0.16911327838897705, 0.7072315216064453, -0.016002530232071877, -1.0879321098327637, 1.0286906957626343, -0.11088715493679047, 0.057678401470184326, 0.09951650351285934, 0.06457503139972687, 0.6691754460334778, -0.901595950126648, -1.3671914339065552, -0.061445578932762146, 0.05390181392431259, -0.3415474593639374, 0.9652098417282104, -0.47031059861183167, -0.20463034510612488, 1.5282305479049683, 0.6047691106796265, -0.3219294548034668, -0.3596416115760803, 1.7872812747955322, 0.7404042482376099, 0.49019211530685425, 0.39603912830352783, 0.37523043155670166, -1.3708066940307617, 0.311867892742157, -0.16993869841098785, 0.18658247590065002, -1.156559944152832, -1.0011842250823975, -1.121363878250122, -0.06337174773216248, -0.773216962814331, 0.03354224935173988, 0.1518673598766327, 0.20679466426372528, 1.4614815711975098, 1.4735051393508911, 0.04190371185541153, 0.5336280465126038, 0.80021733045578, 1.0324959754943848, 1.043791651725769, -0.8574336767196655, 0.23728373646736145, 0.10512647777795792, -0.5657941102981567 ]
154
0704.0156
Han He
Han He, Huaning Wang
Nonlinear force-free coronal magnetic field extrapolation scheme based on the direct boundary integral formulation
This paper has been withdrawn by the authors. This paper has been accepted for publication in JGR-Space Physics. The latest and complete version of the papaer can be downloaded from http://rwcc.bao.ac.cn:8001/swap/NLFFF_DBIE_code/HeHan_NLFFF_JGR.pdf (3.76 MB pdf file)
null
10.1029/2007JA012441
null
astro-ph
null
This paper has been withdrawn by the authors.
[ { "created": "Mon, 2 Apr 2007 12:02:40 GMT", "version": "v1" }, { "created": "Wed, 5 Mar 2008 04:28:27 GMT", "version": "v2" } ]
2015-05-13
[ [ "He", "Han", "" ], [ "Wang", "Huaning", "" ] ]
07
[ 0.38427042961120605, 0.2505477964878082, 1.2924076318740845, -0.21805208921432495, -0.17176300287246704, -0.8789904713630676, 0.1094871535897255, 0.3774738907814026, 0.3183235824108124, -0.04341176524758339, -0.566446840763092, 0.18999969959259033, 0.1127268448472023, 0.6494662761688232, -0.6171311140060425, 0.20290757715702057, -0.4680235981941223, -1.197587013244629, -0.8576939105987549, -0.31334254145622253, 0.11807884275913239, -0.6928550004959106, 0.11288859695196152, 0.10512812435626984, -0.0738193690776825, 0.09635215252637863, -0.9703792333602905, 1.2248234748840332, 0.09476783126592636, 0.020938970148563385, -0.16539821028709412, 0.3136938512325287, -0.19610485434532166, 0.3942854106426239, -0.5237067937850952, -0.2539241909980774, 1.0228338241577148, -0.37910357117652893, -0.4574615955352783, -0.873471736907959, -0.2989746034145355, 0.6714351773262024, 0.14377370476722717, -0.002539668930694461, -0.5151732563972473, -0.5182796716690063, 0.3434732258319855, 0.3298245966434479, 0.3119209408760071, 0.6166717410087585, 0.06190662086009979, 1.3947480916976929, 0.5016215443611145, 0.2649422287940979, 0.03403383865952492, 0.3528236448764801, -0.7170584201812744, -0.49767205119132996, -0.08382970094680786, -1.851879596710205, 0.14520181715488434, 0.4594179093837738, 0.4775451421737671, -0.16932277381420135, -0.15804578363895416, 0.17526774108409882, 0.10155235230922699, 0.33361855149269104, 0.4457199275493622, 0.5940309762954712, 0.003000576514750719, -0.6205549836158752, -0.4791354238986969, 0.21790535748004913, -0.5889528393745422, 0.10370898246765137, -0.31414008140563965, 0.5663999319076538, 1.831674337387085, 0.20946857333183289, 0.5567057728767395, -0.047424085438251495, -0.16467320919036865, 0.09656759351491928, -0.34014010429382324, -0.09797391295433044, 0.29568248987197876, -0.06579217314720154, -0.14325028657913208, 0.1969902515411377, -0.4092009365558624, -0.15739451348781586, 0.323544442653656, -0.5524968504905701, 0.7948335409164429, 0.19550228118896484, -0.14108021557331085, -0.30518871545791626, 0.4943491816520691, 1.5680381059646606, -0.5340036153793335, -0.25701868534088135, 0.4861895442008972, 0.447027325630188, 0.34763407707214355, 0.6583456993103027, -0.345390260219574, -0.4739795923233032, -0.11166326701641083, 0.09624606370925903, 0.4729185700416565, -0.5666850209236145, 0.1664188802242279, -0.5137457847595215, -0.3520277738571167, 0.42815616726875305, 0.39044690132141113, 0.11951416730880737, -0.8494037389755249, 0.04959963262081146, 0.37116220593452454, -0.04223087802529335, 0.6340145468711853, 0.029759837314486504, 0.8334608674049377, 0.7735893130302429, 0.11345263570547104, 0.21304276585578918, 0.806738555431366, -0.5812202095985413, -0.14712099730968475, 0.05754745751619339, -0.0709533542394638, 1.0264137983322144, 0.19635894894599915, 1.3261518478393555, -0.869805097579956, 0.11348897218704224, -1.00774347782135, 0.3938770294189453, 0.7150945663452148, -0.044198177754879, -0.13605955243110657, 0.4170039892196655, -0.31753820180892944, -1.179726481437683, -0.46892476081848145, -0.1445896029472351, -0.5535848140716553, -0.1632126271724701, -0.1167202889919281, -1.3035334348678589, 0.25163906812667847, 1.070336937904358, 0.09414026141166687, -0.6750655174255371, 0.5120142698287964, 0.8065928220748901, -0.6202978491783142, 0.17481260001659393, 0.23658397793769836, 0.648947536945343, 0.23000206053256989, -0.5533469915390015, -0.01031871885061264, -0.3612835109233856, -1.015489935874939, -0.014620598405599594, 0.14156505465507507, -0.29455065727233887, -0.8298170566558838, -0.11453969031572342, 0.20260277390480042, 0.6260405778884888, 0.13999387621879578, 1.0600743293762207, 0.5635464191436768, 0.531340479850769, -0.4450574815273285, 0.3788311183452606, -0.2584437131881714, -0.8804569840431213, 0.6927508115768433, -0.2575846314430237, -0.5474926829338074, -0.18147508800029755, -0.30922722816467285, -0.5822149515151978, -0.33473140001296997, -0.21731440722942352, 0.08400405943393707, -0.41291606426239014, -1.7919740676879883, 0.16554585099220276, -0.5070751905441284, -0.15465840697288513, -0.2798493206501007, -0.19696153700351715, -0.17059844732284546, 0.7037591934204102, 0.4253270626068115, -0.3224169909954071, 0.6486814618110657, -0.2573646008968353, -1.5385562181472778, 0.8799890875816345, 0.41710802912712097, -0.145759716629982, 0.21852532029151917, -1.2256873846054077, 0.2819681763648987, 0.17513830959796906, 0.22839075326919556, 0.3382889926433563, 0.002524493495002389, -0.0227049570530653, -0.10467245429754257, -1.1685603857040405, 0.15041795372962952, 0.6883072853088379, 0.8038105368614197, 0.5254576802253723, 0.08170617371797562, -0.03303808346390724, 0.15620458126068115, -0.5244174003601074, -0.11517087370157242, -0.6268606185913086, -0.4933454692363739, -0.8027395009994507, -0.19077061116695404, -0.6674684882164001, 0.34777089953422546, -0.33893293142318726, 0.32546553015708923, -0.277209609746933, -0.8193874359130859, 0.32488808035850525, -0.7044570446014404, -0.4354505240917206, -0.7765834331512451, -0.35188183188438416, -0.9397563338279724, 0.693903923034668, -0.3596428334712982, -0.1550849825143814, 0.2588657736778259, 0.5639464259147644, -0.3035259544849396, -0.220015287399292, -0.388700395822525, -0.3023269474506378, 0.5176681876182556, -0.4696810245513916, -0.16557946801185608, -0.050677310675382614, 0.6449184417724609, 0.15221716463565826, -0.6307317018508911, 0.092239148914814, 0.17772769927978516, -0.6324443221092224, 0.3874579966068268, -0.9337724447250366, -1.1919052600860596, 0.5707797408103943, 1.099572777748108, -0.18753571808338165, 0.39006951451301575, -0.4366603493690491, -0.6771929860115051, -0.25076404213905334, 0.1856432855129242, 0.6247740983963013, -0.5652360916137695, 0.3485430181026459, -0.055869653820991516, -0.13019788265228271, -0.04231485351920128, -0.4061237573623657, 0.3440956771373749, 0.9290381073951721, 0.050222158432006836, 1.4484584331512451, 0.22144757211208344, -1.263256549835205, -0.5031217336654663, 0.5541204810142517, 0.44140347838401794, -0.17925956845283508, 0.5395088195800781, 0.7843121290206909, 0.0685773566365242, 0.2522585391998291, -0.04372613504528999, -0.42698901891708374, -0.18610423803329468, -1.1263716220855713, 0.9094253778457642, -0.35381609201431274, 0.05172617360949516, 0.37875762581825256, -0.20577502250671387, 0.801700234413147, 0.3642421066761017, -0.2691444456577301, -0.21045176684856415, 0.0010868017561733723, -0.07751280814409256, -0.4172522723674774, -0.25667694211006165, -0.04748997837305069, 0.6778987050056458, 0.2467191070318222, -0.3343524932861328, -0.49042749404907227, 0.0024992318358272314, -0.6433640718460083, -0.5950493216514587, -0.7952404618263245, -0.24291835725307465, -0.6473104357719421, -0.0003628561971709132, -0.21367903053760529, 0.34166574478149414, -1.1461923122406006, 0.0002266273950226605, -0.12661555409431458, 0.8273059725761414, -0.22771519422531128, -0.8346551060676575, 0.05426471307873726, 0.1878359466791153, 1.314120888710022, -0.21150192618370056, 0.26715174317359924, -0.42463958263397217, 0.37767428159713745, 0.8103770017623901, -1.2141039371490479, -0.5602496862411499, 1.4114519357681274, 0.3980010151863098, 0.3008226454257965, -0.2883555293083191, -0.05895097553730011, -0.3309612572193146, -0.5057098269462585, -1.42410147190094, 0.08717633783817291, -0.968704879283905, -0.5147045850753784, 0.22045187652111053, 0.6476734280586243, -0.4746429920196533, -0.28402069211006165, 0.953080415725708, 1.057137131690979, 0.9655115008354187, -0.2261417657136917, 0.34311535954475403, 0.2735525071620941, 0.4482189118862152, -0.12597870826721191, 0.8434248566627502, 0.13078778982162476, 0.13341641426086426, 0.30737483501434326, -0.5700240135192871, 0.2737133502960205, -0.2710842490196228, 0.6964440941810608, 0.002234851475805044, -1.2881072759628296, 0.39469069242477417, 0.8550609350204468, -0.5870458483695984, 0.14006651937961578, 0.36899247765541077, 0.39575445652008057, -0.044210679829120636, 0.5527426600456238, -0.009646964259445667, -0.3171056807041168, 0.06080368533730507, 0.23933951556682587, -0.24756765365600586, 0.2357679158449173, -0.04514967277646065, 0.4294044077396393, -0.1763099581003189, -0.43249762058258057, 0.49091342091560364, -0.3033151924610138, -0.554243803024292, 0.9671454429626465, 0.5557729005813599, 0.5558081865310669, 0.6801038384437561, 0.356244832277298, 0.3451862633228302, 0.028652075678110123, -0.6058870553970337, -1.5400209426879883, 0.14131596684455872, 0.7562200427055359, -0.25429198145866394, -0.5769564509391785, 0.4511112868785858, -0.5429818034172058, 0.2943289577960968, 0.0666341632604599, 0.28664490580558777, -0.7301597595214844, 0.037515461444854736, -0.33700162172317505, -0.22762054204940796, 0.33949291706085205, 0.2069939821958542, 0.323335736989975, 0.442973792552948, -0.3755708336830139, 0.08451728522777557, 1.6161367893218994, -0.5616726875305176, -0.33524441719055176, -0.3961520791053772, -0.2324664145708084, -0.014552981592714787, -0.888859212398529, -0.0021256576292216778, 0.04956240579485893, 0.04544489085674286, 0.37547674775123596, 0.2703208327293396, 0.0743131935596466, 0.5303136110305786, 0.13783589005470276, 0.4999949634075165, -0.9425720572471619, 0.015627242624759674, 0.49660494923591614, -0.5946289300918579, -0.1689894199371338, 0.044348400086164474, -0.5926061868667603, -1.5161906480789185, 0.7208198308944702, -0.5225359201431274, -0.21039852499961853, 0.14406071603298187, -0.06072297692298889, 0.18436209857463837, 0.39511924982070923, 0.16012369096279144, -1.242139220237732, -0.356558233499527, 0.25844818353652954, -0.3938533067703247, -0.20847277343273163, -1.1717536449432373, -0.21535293757915497, 0.8311877250671387, -1.3117834329605103, 0.5191903710365295, -1.2449395656585693, 0.9694556593894958, 0.009101767092943192, -0.23781579732894897, 1.1629825830459595, 0.6150451898574829, -0.5704726576805115, 0.612561821937561, -0.16895538568496704, -0.42790505290031433, 0.5150565505027771, 0.8283782601356506, 0.7092338800430298, 0.28153738379478455, 0.430239200592041, -0.12018390744924545, 0.2520827054977417, 0.26772308349609375, 0.23566238582134247, -0.38356754183769226, -0.03911663964390755, -0.031027480959892273, 0.2022322565317154, -0.28225257992744446, 0.005100519396364689, -0.2955702245235443, 0.2555229663848877, -0.5856746435165405, -0.1978200078010559, -0.2677789330482483, 1.0988378524780273, 0.12501007318496704, 0.03645119071006775, 1.0098639726638794, 0.01852521114051342, 0.20745016634464264, -0.08957596123218536, -0.4772128462791443, -0.8966742753982544, -1.0404305458068848, -0.27403759956359863, 0.6473451852798462, -0.13916537165641785, -0.033027734607458115, 1.6748104095458984, 0.4188428819179535, -0.8045074939727783, -0.2908097505569458, -0.31145936250686646, 0.6523459553718567, -0.4101467430591583, -1.006291389465332, -3.927081346511841, 1.013800024986267, 0.25873151421546936, 0.2866223454475403, 0.1453191190958023, -0.4446442723274231, -1.1144020557403564, 0.5864578485488892, -0.5576942563056946, -0.002037882339209318, 0.23848605155944824, 0.2742091715335846, 0.8200528621673584, -0.5751792788505554, 0.3958297669887543, -0.35345447063446045, -0.1571294069290161, 0.2541317343711853, 0.14947763085365295, 0.02706757001578808, 0.4313948154449463, -0.3303343653678894, -0.26220622658729553, -0.20844140648841858, -0.14651279151439667, 0.28658556938171387, -1.0891180038452148, 0.8366290330886841, -0.6887203454971313, -0.7975894212722778, 0.15090371668338776, -0.8959505558013916, -1.0427184104919434, 0.003068946534767747, -0.5780624151229858, 0.06255341321229935, -0.2036208212375641, 0.20785097777843475, 0.43327149748802185, -12.689132690429688, 0.14463965594768524, -0.5243420004844666, -0.3992031514644623, 0.34864145517349243, -0.5608147978782654, -0.43412017822265625, -0.4837307929992676, -0.3407192528247833, -0.4314432144165039, 0.2277509719133377, -0.10541489720344543, -0.43975383043289185, -0.3756507337093353, -0.22385059297084808, -0.09311380237340927, 0.6080635786056519, 0.2526960074901581, -0.8374096155166626, -0.3904930651187897, -1.0296895503997803, -0.03228358179330826, -0.2444370537996292, 0.1496644914150238, 0.20837350189685822, -0.4850826859474182, 0.580489456653595, -0.17375722527503967, -0.6997685432434082, 0.09605617076158524, -0.4225679934024811, -0.04047780856490135, -0.3066301643848419, 0.2789638340473175, 0.6835988759994507, -0.15833865106105804, 1.4268375635147095, -0.07283618301153183, -0.15594571828842163, -0.9244914054870605, 0.600879967212677, -0.2027251422405243, -0.23975490033626556, -0.7262813448905945, 0.16244834661483765, 0.9577775597572327, -0.3756413161754608, -1.1111875772476196, 0.8254513740539551, -0.10875815898180008, -0.2185569852590561, 0.33708664774894714, 1.3896621465682983, 0.7126027941703796, 0.6565759778022766, -0.5192297697067261, -0.8922627568244934, 0.23481301963329315, 0.35920536518096924, -0.5485942363739014, 0.3629162907600403, -1.029145359992981, -0.07558432221412659, -0.24374920129776, -0.9388935565948486, 0.1367727667093277, -1.748140573501587, -0.3563494086265564, 0.11150173842906952, -0.28138938546180725, -0.5050862431526184, -0.15622685849666595, -0.8395795226097107, 1.0952972173690796, 0.1354619860649109, -0.4856600761413574, 0.11808556318283081, 1.3819868564605713, -0.5296469926834106, 0.9202767610549927, 0.6430148482322693, -0.015273979865014553, -0.19497697055339813, 0.744895339012146, -0.08360618352890015, -0.506005048751831, 0.32683926820755005, 0.052124906331300735, -0.05563042685389519, -0.42351827025413513, 0.11151417344808578, 0.5420119762420654, 0.35268062353134155, -0.6576768755912781, -0.18600581586360931, 0.11237719655036926, -0.35565876960754395, -0.7727779746055603, -0.656424880027771, -0.18486560881137848, -0.8485286831855774, 0.07733456790447235, 0.06500367075204849, -0.3240237832069397, 0.2941994071006775, 0.058208953589200974, -0.7311270833015442, 0.12394941598176956, -0.08965232968330383, -0.5637229084968567, -0.35428354144096375, 0.4523761570453644, -0.7801487445831299, -0.5538152456283569, -0.08589347451925278, -0.17842984199523926, 0.3928637206554413, 0.49003085494041443, -0.5062646865844727, -1.0094525814056396, -1.0005000829696655, 0.33897197246551514, -0.36965465545654297, 0.5550042390823364, 1.4431036710739136, -0.5407737493515015, -0.0264044851064682, -0.4411376416683197, 0.4252961575984955, 0.06887539476156235, -0.26843342185020447, -0.7220656871795654, 0.6321839690208435, 0.8141270875930786, 0.15554989874362946, 0.36980631947517395, 0.7028300762176514, -0.5379863381385803, 0.024122150614857674, 0.24452650547027588, 0.3880465626716614, 0.264810711145401, -0.7023447155952454, 0.14228536188602448, 0.23516926169395447, -0.19690877199172974, -1.0493630170822144, -0.027684347704052925, 0.05058347433805466, -0.5435632467269897, -0.37332019209861755, 0.7017387747764587, 0.18423335254192352, 0.3370840847492218, 0.024890592321753502, -0.2517009377479553, 0.2912781536579132, -0.9340497255325317, -0.25778743624687195, 0.4063768684864044, 0.9626405239105225, -0.3357596695423126, 0.36989784240722656, -0.08914642781019211, -0.1888289600610733, -0.5994317531585693, -0.34328341484069824, 0.03579750657081604, -0.5218921899795532, 0.058462049812078476, 0.4624969959259033, 0.0021381760016083717, -0.13110046088695526, -0.12267237156629562, -0.3254464268684387, 0.08909381181001663, -0.7725628018379211, -0.1174914538860321, -0.2853033244609833, -1.6782348155975342, 0.2887137234210968, 0.6956275105476379, 0.3029085695743561, 0.4858119487762451, -0.7761029601097107, 1.87978196144104, -0.8222651481628418, 0.3407212495803833, 0.5398302674293518, -0.942924439907074, -0.18744705617427826, 0.30785220861434937, -0.5080105066299438, 0.081712506711483, -0.878617525100708, 0.3471875786781311, -0.07442588359117508, 0.357397198677063, 0.2097170352935791, -0.21706633269786835, 0.9339123964309692, 1.0301520824432373, 0.024817470461130142, 0.11311668902635574, 0.021895388141274452, 0.3071594536304474, -1.2147634029388428, -0.17282307147979736, -0.2510411739349365, 0.11881851404905319, -0.29219335317611694, -0.13891929388046265 ]
155
0704.0157
Andres Santos
M. Lopez de Haro, S. B. Yuste, and A. Santos
Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids
64 pages; 13 figures; to appear in "Playing with Marbles: Theory and Simulation of Hard-Sphere Fluids and Related Systems", edited by A. Mulero (Springer, to be published)
Theory and Simulation of Hard-Sphere Fluids and Related Systems, Lectures Notes in Physics, vol. 753, Angel Mulero, ed. (Springer, Berlin, 2008), pp. 183-245
10.1007/978-3-540-78767-9_6
null
cond-mat.stat-mech cond-mat.soft physics.chem-ph
null
An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically consistent formulation, thus improving and extending the known analytical results of the Percus-Yevick theory. Approximate expressions for the contact values of the radial distribution functions and the corresponding analytical equations of state are also discussed. Extensions of this methodology to related systems, such as sticky hard spheres and square-well fluids, as well as its use in connection with the perturbation theory of fluids are briefly addressed.
[ { "created": "Mon, 2 Apr 2007 10:02:54 GMT", "version": "v1" } ]
2008-07-18
[ [ "de Haro", "M. Lopez", "" ], [ "Yuste", "S. B.", "" ], [ "Santos", "A.", "" ] ]
07
[ 0.2642926871776581, -0.12422621250152588, -0.30843591690063477, 0.8820685148239136, -0.08158740401268005, 0.511485755443573, 1.1362420320510864, 0.7164747714996338, -0.1943640410900116, -0.1674915850162506, -1.7625963687896729, 0.26747843623161316, 0.13659033179283142, -0.025323713198304176, -0.8710378408432007, -0.6400789618492126, 0.29834428429603577, -0.30274268984794617, 0.4005920886993408, 0.5577993392944336, -0.07218357175588608, -0.5602250099182129, 0.4923609495162964, 0.03398694843053818, 0.012159164063632488, 0.7844454050064087, 0.1296909600496292, 0.2442692369222641, 0.2132328301668167, -0.22514767944812775, 2.1886253356933594, -0.08581919223070145, 0.14674369990825653, 1.4300068616867065, -1.131590485572815, -0.06751969456672668, 1.28105890750885, 0.1478537619113922, -0.5296338200569153, -0.44341740012168884, 0.9611381888389587, 0.35312944650650024, -0.4653492569923401, -0.538139283657074, 0.25298622250556946, -1.513346552848816, -0.05416782945394516, 0.08965503424406052, -1.3502355813980103, -0.025512628257274628, 0.07258844375610352, -0.25026392936706543, 1.1480611562728882, -0.20029406249523163, 1.4002941846847534, 0.1580502688884735, -0.01431966945528984, -0.2510072588920593, 1.1543264389038086, 0.24839426577091217, 0.768842875957489, 0.2380235195159912, 0.008550982922315598, -0.0999535620212555, -0.5307875871658325, -0.21472549438476562, 1.9265865087509155, 0.2667993903160095, 0.019116196781396866, 0.4377235770225525, -0.07190534472465515, -0.8950916528701782, -0.2776798903942108, 0.763225257396698, 0.475736141204834, 0.13262009620666504, -0.5756183862686157, 0.24643142521381378, 0.7261446714401245, 1.3621641397476196, 0.46699923276901245, -0.08787218481302261, 0.11537883430719376, -0.6827781796455383, 1.3121790885925293, 0.3023991286754608, 1.0440428256988525, 0.7119717597961426, -0.3783700168132782, -0.7548932433128357, -0.3726873993873596, -0.7845603823661804, -0.28930047154426575, -0.22879333794116974, 0.10696303844451904, 0.5768218636512756, -1.2337359189987183, 0.5747596621513367, 0.39970192313194275, 0.3282456398010254, 0.31760621070861816, -0.3197152018547058, -0.30420565605163574, -0.8644526600837708, 0.18770158290863037, 1.2607580423355103, 0.21878917515277863, -1.0552583932876587, -1.0340749025344849, 0.1274809092283249, 0.37290915846824646, -1.3472983837127686, -0.7021858096122742, -0.4645519256591797, -1.0507965087890625, 1.2862404584884644, -0.3342164158821106, 0.07427212595939636, -0.5826890468597412, 0.31951048970222473, 0.7280694246292114, -0.25105762481689453, 0.781119167804718, -0.27391254901885986, -0.060303375124931335, -0.2822256088256836, -2.1514246463775635, -0.34584715962409973, -0.14052291214466095, 0.6103565692901611, 0.48015540838241577, -0.4236975908279419, -0.6052156686782837, 0.5587274432182312, -0.42614227533340454, -0.13253408670425415, 0.6963819861412048, -0.05982660502195358, -0.18382945656776428, -0.6051493883132935, 0.6817104816436768, -0.9769605398178101, -0.31482017040252686, 0.301327109336853, -0.45638763904571533, -0.43765461444854736, -0.18411068618297577, -0.42406946420669556, 0.27383923530578613, -0.47012078762054443, 1.0884054899215698, -0.6337073445320129, -0.15323320031166077, 1.3100782632827759, -0.18475878238677979, 0.27836400270462036, 1.131564974784851, -1.2241930961608887, -0.5026686787605286, 0.1433703750371933, 0.47021740674972534, -0.04386012256145477, -0.3589234948158264, -0.9742685556411743, 0.3831092417240143, 0.11864130198955536, 0.12187720090150833, -0.16725271940231323, 0.07557704299688339, 0.08303393423557281, -1.0755083560943604, -0.52110755443573, 1.597802996635437, 1.3931254148483276, -0.4901098310947418, 0.9963153004646301, 0.13868284225463867, -0.22077395021915436, 1.0740011930465698, 1.1753355264663696, 0.20358215272426605, 0.14245085418224335, -1.9060981273651123, 0.41534531116485596, -0.3603437840938568, -0.22532638907432556, 0.5417145490646362, 0.625305712223053, -0.2055688202381134, 0.248873770236969, -0.681429386138916, -0.08493036776781082, 0.061120305210351944, -0.24661950767040253, 0.2163633108139038, -0.4107581079006195, 0.07061614841222763, 0.6152452826499939, -0.40572598576545715, 0.8347839713096619, 0.5520935654640198, 0.14280949532985687, -1.1368902921676636, -1.0229828357696533, -0.9424926042556763, 0.4907267987728119, 0.9297690391540527, -1.3775050640106201, 0.7417207360267639, -0.2369879186153412, -0.43478289246559143, -0.03437557443976402, -0.44090035557746887, 0.8211686611175537, 0.37698909640312195, -1.2870993614196777, -1.744828701019287, -1.098535418510437, 0.29915568232536316, -0.03961377218365669, 0.7376833558082581, 0.9150042533874512, 0.27012741565704346, 0.06393162161111832, -1.216770052909851, 0.14230546355247498, -1.2345937490463257, -0.7791087627410889, -0.4989636242389679, -0.4455762803554535, 1.070731282234192, 0.07203523814678192, -0.3811713755130768, -0.6416594982147217, -0.3014738857746124, 0.4869075417518616, -0.6183093786239624, -0.5763217210769653, 0.474029541015625, 0.7856934070587158, -0.29805126786231995, -0.056528087705373764, 0.14090314507484436, -0.11835262924432755, -0.47181007266044617, 0.22079813480377197, 0.5769050121307373, 0.5408207774162292, -0.31690001487731934, -0.3734417259693146, -0.5774468183517456, 0.6384471654891968, -1.1236597299575806, -1.5328724384307861, -1.531401515007019, 0.6531155109405518, -0.1694256216287613, -0.3996649384498596, -0.7799972295761108, 0.07713038474321365, -0.02308288775384426, -0.38016384840011597, 0.5073883533477783, 0.004307454917579889, -0.5767689347267151, -0.19278106093406677, 0.6404217481613159, 0.11558806151151657, 0.3153955638408661, -0.1031859740614891, 1.2614123821258545, -1.2299920320510864, 1.1223328113555908, -0.2743386924266815, 0.7394911050796509, -0.5366116762161255, -0.27707603573799133, -0.9965187311172485, -0.459200382232666, -0.6693681478500366, 0.2231288105249405, 1.370174527168274, -0.1943005621433258, 0.3875112533569336, 0.02942034788429737, -0.29094260931015015, 0.08983553200960159, -0.9723377227783203, -0.7323498725891113, -0.4530130624771118, -0.5540616512298584, -0.9986737966537476, -0.728448748588562, 1.435618281364441, -1.5417439937591553, 0.49242886900901794, 0.03455055132508278, 0.5923603773117065, -0.9647378921508789, 0.06820373982191086, -0.3166709244251251, 0.579520583152771, 0.16620199382305145, 0.8103694319725037, 0.940132737159729, -1.1877796649932861, -0.9981200695037842, 0.48334604501724243, -0.21731191873550415, 0.5706198215484619, -0.3880111873149872, 0.8696990609169006, 0.45220762491226196, -1.5673555135726929, 0.7337077856063843, 0.4322231709957123, -1.3843384981155396, 0.7857716679573059, 0.37212464213371277, 0.12449411302804947, 0.29240599274635315, -0.557319164276123, -0.7255533933639526, 1.0506305694580078, 0.495059609413147, 0.009360924363136292, -0.6156032681465149, -0.4336451292037964, -0.30477577447891235, 0.06709388643503189, -0.3321049213409424, 0.9322807192802429, -1.220133900642395, 0.5101016759872437, -1.0011342763900757, -1.7708295583724976, -0.9216352701187134, -0.4862206280231476, 0.7989262938499451, -0.06902837753295898, -1.0413987636566162, 1.3455090522766113, 0.13445787131786346, 0.4557189643383026, -0.770849347114563, -1.1302759647369385, -0.43926912546157837, 0.8186935782432556, -0.539138674736023, 0.4974619746208191, -0.7601860761642456, -0.5303841829299927, 0.4911472797393799, 1.033323884010315, 0.03343381732702255, -0.007944319397211075, 0.44065308570861816, 1.3889305591583252, 0.15578855574131012, -0.5965104103088379, 0.3010599911212921, -0.09379104524850845, 0.8429110646247864, 0.8733820915222168, 0.5213653445243835, -1.3002156019210815, -0.6193283796310425, -0.7377210855484009, 0.6835860013961792, 0.07110253721475601, 0.13354772329330444, -0.4361385405063629, 0.8126019239425659, 0.16425858438014984, -0.48931971192359924, 0.07776433229446411, -0.5732333064079285, 0.21690669655799866, 0.349314421415329, 0.04853007197380066, 0.4471586346626282, 0.5462353825569153, -0.25425657629966736, -0.7560888528823853, 0.38351303339004517, -0.9387781023979187, -0.004998970776796341, 0.24346451461315155, -0.4820077419281006, 0.33065369725227356, 0.3111729323863983, 0.01750323362648487, -0.4014580547809601, 0.1381668746471405, -0.5036914348602295, 0.6114200353622437, -0.218385249376297, 0.3458387553691864, 0.12763665616512299, 0.5945473909378052, 0.07248594611883163, -0.34405621886253357, 0.24795038998126984, -1.0498086214065552, -0.885282039642334, -0.47039172053337097, 1.00434148311615, 0.6101335287094116, -0.6184651851654053, 0.47578999400138855, 0.011275865137577057, 0.6375477910041809, 0.6112471222877502, -0.9241393804550171, 0.7095338106155396, -1.0600029230117798, 0.6373003125190735, 0.21896925568580627, 0.1760636419057846, 0.11623372882604599, -0.2545658349990845, 0.1706220507621765, -0.27707967162132263, 0.6871534585952759, 1.4761592149734497, -0.5859010219573975, -0.37128227949142456, -0.44309744238853455, 0.4727862477302551, -1.3916951417922974, 0.6808924078941345, 0.27932804822921753, -0.14783748984336853, 0.2666676938533783, 0.4232333302497864, -1.0285637378692627, -0.422691285610199, 0.13953979313373566, -0.08709168434143066, -1.0817162990570068, -1.0363649129867554, -0.7004709243774414, -1.7076148986816406, 0.10316405445337296, -0.15649722516536713, 0.5945870280265808, -1.054917335510254, -0.030340392142534256, 1.2443302869796753, 0.008135592564940453, 0.5500354766845703, 0.7824952602386475, -0.6077971458435059, -1.4908770322799683, 0.15949535369873047, -0.999049961566925, 0.913129448890686, 0.7100982069969177, 0.7451225519180298, -0.3559119999408722, -0.06735679507255554, -1.260482668876648, 0.262393057346344, -0.5931275486946106, -0.56204754114151, -0.18063309788703918, -0.4144028127193451, 0.4951639473438263, 1.038331389427185, -0.10928503423929214, 1.0933003425598145, -0.4723896086215973, -1.0964984893798828, -0.4138120412826538, 0.07230506837368011, 0.46428021788597107, 0.37061306834220886, 0.3640906512737274, 0.3688580393791199, 0.5812040567398071, 0.29072681069374084, 0.26891687512397766, 0.03566329926252365, -0.26666295528411865, 0.26582658290863037, 1.0682491064071655, -0.12396278977394104, 0.6749232411384583, -0.11332312226295471, 1.869459867477417, -0.12852352857589722, 0.6295801997184753, -0.03665320575237274, 0.43047991394996643, 0.18681156635284424, -0.19797435402870178, 0.47505488991737366, 0.41653886437416077, -0.9936650991439819, -0.649221658706665, 0.6101694107055664, -1.3418539762496948, 0.568425178527832, -0.06760115921497345, -1.5647698640823364, 0.0814574733376503, -0.06554633378982544, -1.829744815826416, 0.5453391075134277, 0.06301657110452652, 0.4103240966796875, -0.8009979128837585, -0.880129337310791, 1.6531789302825928, -0.09172877669334412, 0.07389221340417862, -0.23600345849990845, -3.048652410507202, -1.3440691232681274, 0.5657880306243896, 0.19992727041244507, 0.07176639884710312, -0.741627037525177, -0.9143195152282715, -0.21475261449813843, -0.12908935546875, 0.7927601933479309, 0.7727582454681396, -0.8754007816314697, 0.7752878665924072, 0.5557038187980652, -0.3290313482284546, -0.5724514722824097, -1.0506919622421265, -0.35073956847190857, -0.7903015613555908, -0.3231325149536133, -0.2751516103744507, -0.2682221829891205, 0.19688907265663147, -0.695756733417511, -0.5775690078735352, 0.4306472837924957, -1.217596173286438, -0.6058068871498108, -0.22393615543842316, 0.2551257610321045, -0.08019236475229263, 2.5912363529205322, 0.6318826079368591, -1.0080103874206543, -1.1513490676879883, -0.8342241644859314, 0.23756758868694305, -0.14064115285873413, 0.18980291485786438, -8.249890327453613, -0.14986351132392883, -0.49660560488700867, -0.04496686905622482, 0.46965697407722473, -0.1502252072095871, -0.33860594034194946, -0.8508469462394714, 0.8263822793960571, -0.3455353379249573, 0.9587095379829407, 0.5774166584014893, 0.9528747797012329, -1.0790363550186157, -0.231485515832901, 0.2751794159412384, 0.6631966233253479, -0.7515627145767212, -1.9480618238449097, -0.827397882938385, 0.027274901047348976, -0.1373509019613266, -0.6976771354675293, 0.6345793604850769, -1.1512240171432495, 0.09495196491479874, -0.23263564705848694, 0.16811898350715637, -0.18890994787216187, 0.2536444067955017, -0.1818486452102661, 1.2015252113342285, 2.2195565700531006, -0.09312231093645096, 0.685046374797821, -0.06563742458820343, 0.7205211520195007, -0.07814497500658035, -0.5946871638298035, -0.4148472249507904, 1.1755750179290771, 0.05276325345039368, -0.36076468229293823, -0.34148213267326355, -0.5165328979492188, 0.2713574767112732, -0.12336079776287079, -0.94124436378479, 1.0734410285949707, 0.8155500888824463, -0.9558966159820557, -0.08727707713842392, 0.9039546251296997, 1.1953686475753784, -0.47738951444625854, -1.0745030641555786, 0.32955461740493774, 0.3406553268432617, 0.3541063368320465, -0.8551899790763855, -0.11963966488838196, -0.2627716362476349, -0.6648918390274048, -0.2305983006954193, 0.26104819774627686, 1.2494620084762573, -0.7753633856773376, 0.9226774573326111, 0.8212013840675354, 0.9739069938659668, -0.7233088612556458, -0.21290545165538788, 0.36626750230789185, -0.09781698882579803, 0.151638463139534, 0.20673611760139465, 0.3113100528717041, 0.35194170475006104, -0.19074606895446777, 0.5004614591598511, 0.9030698537826538, 1.0218265056610107, -0.2368243932723999, 0.9978893399238586, -0.41687682271003723, -0.22248783707618713, -0.491448312997818, -1.176818609237671, -0.1394287645816803, -0.004594400990754366, -0.9283784627914429, -0.41182681918144226, -0.3939879834651947, 0.4034261107444763, -1.3723230361938477, 0.20715782046318054, -0.5249970555305481, -0.6676284074783325, -0.17874665558338165, 0.4384714961051941, 0.4053240120410919, -0.1839020550251007, 0.7462247014045715, -0.11160503327846527, 0.8231338858604431, -0.12497986853122711, -1.4103792905807495, -0.7141414880752563, -0.14948704838752747, -0.7684314250946045, 1.6169769763946533, 0.6006152629852295, 0.0840984508395195, 0.45378315448760986, -0.8379397988319397, -0.3561480939388275, 0.07733543962240219, -0.18966643512248993, -0.6162005662918091, -0.5130397081375122, -0.6567647457122803, 0.6598573923110962, 0.6970499157905579, -0.7510168552398682, -0.2601240873336792, -0.31907030940055847, -0.8998992443084717, -1.8769828081130981, -0.7963541746139526, -0.39601966738700867, 0.0431319959461689, 0.37813839316368103, -0.03386380895972252, 0.4179258346557617, -0.1744152009487152, 0.8146836757659912, -0.24542184174060822, 0.8962386846542358, -0.7258154153823853, 1.3737866878509521, 0.49827346205711365, 0.8267702460289001, 0.4360780417919159, 0.361514151096344, 0.185242161154747, -0.09515273571014404, 0.6236565113067627, -0.06097598373889923, -1.0310312509536743, 0.05091989040374756, 0.6122898459434509, -1.5799882411956787, 0.2808803915977478, 1.6732820272445679, -0.6720064878463745, -1.2780030965805054, -0.5449855327606201, -0.17685110867023468, -0.37131354212760925, -1.4669160842895508, -1.9316778182983398, 0.30168166756629944, -0.7974374890327454, 0.4188402593135834, -0.29699575901031494, -0.5586791634559631, 0.38368675112724304, 0.72744220495224, -0.1813848614692688, -1.8455573320388794, -0.05586320161819458, 0.5005854368209839, -0.9554362297058105, 0.9443438649177551, -0.0501030758023262, -0.6963643431663513, -0.25713467597961426, -1.1039847135543823, 0.3689808249473572, -0.8137195706367493, -1.2054970264434814, 0.8207366466522217, -0.17995016276836395, 0.27201783657073975, 0.2452993243932724, -0.04280899465084076, -0.8130226135253906, 0.1841222494840622, 0.7657394409179688, 0.22034147381782532, 0.6358339786529541, -0.4043082296848297, -2.371082305908203, -0.006171352230012417, -0.8391783237457275, 0.07754634320735931, 0.3177449107170105, 1.0568915605545044, 0.6515447497367859, -0.9310489892959595, 0.7596995830535889, 1.6968294382095337, 0.25124022364616394, 0.034049149602651596, -0.258135050535202, 0.025254901498556137, -0.3025931715965271, 0.49324578046798706, 1.1121008396148682, 0.03110465593636036, 0.005169556941837072, 0.15881335735321045 ]
156
0704.0158
Huijie Yang
Fangcui Zhao, Huijie Yang, and Binghong Wang
Complexities of Human Promoter Sequences
5 pages, 3 figures, To appear in Journal of Theoretical Biology
Journal of Theoretical Biology 247 (2007) 645?C649
10.1016/j.jtbi.2007.03.035
null
q-bio.OT
null
By means of the diffusion entropy approach, we detect the scale-invariance characteristics embedded in the 4737 human promoter sequences. The exponent for the scale-invariance is in a wide range of $[ {0.3,0.9} ]$, which centered at $\delta_c = 0.66$. The distribution of the exponent can be separated into left and right branches with respect to the maximum. The left and right branches are asymmetric and can be fitted exactly with Gaussian form with different widths, respectively.
[ { "created": "Mon, 2 Apr 2007 10:10:04 GMT", "version": "v1" } ]
2011-11-09
[ [ "Zhao", "Fangcui", "" ], [ "Yang", "Huijie", "" ], [ "Wang", "Binghong", "" ] ]
07
[ 0.975074052810669, -0.008899016305804253, -0.2267647683620453, -0.35371682047843933, -0.24632488191127777, -0.30417975783348083, 1.743626356124878, -0.6399314999580383, 1.785719394683838, -1.2693393230438232, 1.116076111793518, 0.6064829230308533, 0.5332856774330139, -0.4778348505496979, -1.5143029689788818, -0.009040133096277714, -0.9749212265014648, -1.2253023386001587, -0.2201671302318573, -2.0354766845703125, -0.6439979076385498, -0.32984378933906555, -0.017863428220152855, 0.8999359607696533, 0.14984679222106934, 1.3996660709381104, -0.4189666509628296, 0.12436653673648834, -0.7187997698783875, 0.08128634095191956, -0.1633891761302948, 0.3421284854412079, 0.4939129650592804, -0.137600839138031, 1.435840129852295, -0.4511868357658386, -0.8756507635116577, 0.645717978477478, -0.1602429747581482, 0.5098912715911865, -1.3322579860687256, 0.9191731214523315, -0.20756396651268005, 0.43680793046951294, 0.38337355852127075, 0.5820109248161316, -0.02976856380701065, -0.7394654154777527, -0.4462290108203888, -0.5595377683639526, 0.6257018446922302, 0.6261109709739685, -1.0799099206924438, -0.4802701473236084, 0.7550235986709595, -0.38223209977149963, -0.5200234651565552, -1.0639318227767944, 0.2736712694168091, 0.3641904294490814, 0.27701255679130554, 0.23714497685432434, -0.13072478771209717, 0.38094091415405273, 0.4272824227809906, -0.014674724079668522, 0.19253051280975342, 0.7812389135360718, 0.6833170056343079, -0.3558538556098938, -0.5093922019004822, -0.40794503688812256, 0.6176708936691284, 0.7896363139152527, -0.5349281430244446, 0.185782328248024, -0.4545159637928009, 0.5841403007507324, 0.6089732646942139, -0.44481489062309265, -0.8614526987075806, -0.1583331823348999, 0.4572928845882416, -0.12624934315681458, -0.6987463235855103, 0.9291221499443054, -0.9381952285766602, -0.15487636625766754, -0.49361303448677063, 0.8116285800933838, -1.181251883506775, -0.965531051158905, -0.03408564627170563, -0.19845421612262726, 0.3985355794429779, -0.16561806201934814, -0.6771736145019531, -0.17227087914943695, 0.6153302788734436, -0.016058072447776794, 0.012141265906393528, 1.0536370277404785, -0.9033751487731934, 0.6461726427078247, 0.47104600071907043, 0.4046795666217804, -0.6482465267181396, 0.11173288524150848, 0.9402681589126587, -0.183554545044899, -0.3214305341243744, -0.08154677599668503, 0.43760842084884644, 0.6989843249320984, -0.6180668473243713, -0.5300336480140686, 0.6461697220802307, -0.4599526524543762, -0.37414366006851196, 0.9232801198959351, -0.15222764015197754, 0.106245256960392, -1.1104012727737427, 0.40826699137687683, -0.7688654661178589, 0.5262231826782227, 0.007220341358333826, -0.775429368019104, -0.2259889543056488, 0.3383057117462158, -0.7216989398002625, -0.04419214650988579, -0.031687479466199875, -0.7985250353813171, -1.0932972431182861, 0.13670380413532257, -0.4728088974952698, 0.04038082808256149, -0.7252188920974731, 0.4282802939414978, 0.16575013101100922, -0.11141445487737656, 0.4771402180194855, -0.47730574011802673, 0.26712825894355774, -0.1870357096195221, -0.5821817517280579, 0.2538267970085144, -1.2745081186294556, -1.6729679107666016, 0.45244649052619934, -0.6927922964096069, 0.3623824119567871, -0.6520753502845764, 1.0189647674560547, -0.49646028876304626, -0.20224738121032715, -0.2081758826971054, 0.9348921775817871, -0.29180631041526794, -0.18407756090164185, -1.0363954305648804, -0.05152217298746109, -0.4938810169696808, -0.16863283514976501, -0.7048571705818176, -0.007707967888563871, 0.7330284714698792, 0.6255447864532471, -0.6015121936798096, -0.42903488874435425, -1.7834761142730713, 0.43890729546546936, 0.6223006844520569, 0.1803354173898697, -0.042692601680755615, 0.5480921864509583, 0.32971516251564026, -0.2009580433368683, 0.743992030620575, -0.8163292407989502, -0.3884420692920685, -0.3021560609340668, -0.4591875374317169, -0.5431806445121765, -0.5350461006164551, 0.054760586470365524, 0.43122410774230957, 0.4256424605846405, -0.5153062343597412, 0.4618549644947052, -0.3514783978462219, -2.317568302154541, -0.872186541557312, -0.6125549674034119, 0.6251960396766663, -0.823813259601593, 0.4140385687351227, 0.004564392846077681, -0.7829813957214355, -0.22049662470817566, -0.3030172288417816, -0.30627113580703735, 0.6768468022346497, -0.10980749875307083, 0.8376869559288025, -0.04823840782046318, -0.24915799498558044, -1.0420008897781372, 0.7097868323326111, 0.16938629746437073, 0.5171759128570557, -0.6344363689422607, -0.17845997214317322, -0.17810751497745514, -1.1691275835037231, 1.2629278898239136, 0.3901314437389374, -0.9009209275245667, -0.8089689612388611, 0.057337891310453415, 0.1473909318447113, -0.5955750346183777, 0.06636440753936768, -0.03397470712661743, 0.8675710558891296, 0.08645831793546677, 0.19167132675647736, 0.12278559803962708, -0.3248932361602783, -1.1337605714797974, -1.4593477249145508, -0.2713567912578583, -1.2973158359527588, 0.1188567504286766, 0.24169804155826569, 0.5791032910346985, -0.731063723564148, 0.9546161890029907, 0.005278937052935362, -0.9784798622131348, 0.3245118260383606, 1.2924225330352783, -0.1841597557067871, 0.4962210953235626, -0.11856333166360855, 0.9202852249145508, 0.2685611844062805, -0.6083301901817322, -0.18524211645126343, -1.2704681158065796, 0.09541992098093033, 0.4376028776168823, 1.0890240669250488, -0.1490233987569809, 0.14917653799057007, 0.5302326083183289, -0.5268102288246155, 0.6746971011161804, -0.3959791362285614, 0.20014964044094086, -0.4044414460659027, 0.6907408833503723, -0.6513800024986267, -0.6191893219947815, 0.10311019420623779, -0.3276936709880829, 0.47769567370414734, 0.54000324010849, -0.47187289595603943, -1.0287874937057495, -0.21963036060333252, 0.07314734905958176, 1.3499104976654053, -0.3245657682418823, -1.0311650037765503, -1.2095187902450562, -1.1926196813583374, 0.38522496819496155, 0.3233174979686737, -0.8030090928077698, -0.030723484233021736, 0.8079997897148132, -0.8803983330726624, 0.0615091547369957, -0.4284135699272156, -0.09705979377031326, 1.335260272026062, -0.2422071397304535, -0.20298068225383759, -1.0958406925201416, 1.4328349828720093, 0.41147905588150024, 1.5897709131240845, -0.4464735686779022, -1.0742299556732178, 0.8468748927116394, -0.1250639110803604, -0.780544102191925, 0.5737318992614746, 0.6389478445053101, 0.03060462512075901, -0.7713214159011841, 0.9744107723236084, 1.5942710638046265, -0.22358998656272888, -0.7927044034004211, -1.240936517715454, 0.2121204286813736, 1.2390310764312744, 0.9591809511184692, 0.5294727683067322, 1.0083606243133545, -1.221376657485962, 0.27966591715812683, 0.9321062564849854, 0.08089357614517212, -0.3117343485355377, 0.8362336158752441, -0.22634677588939667, -0.9460554718971252, 0.14269787073135376, 0.9631077647209167, -0.6461073756217957, -0.1089140921831131, -1.2404478788375854, 0.2809872031211853, -0.5288853645324707, 0.14401082694530487, 0.7744453549385071, -0.2295444756746292, 0.338460773229599, -0.8721234798431396, -0.12687183916568756, 0.4438149333000183, 0.648559033870697, -0.37652915716171265, -0.9170047044754028, 0.48762792348861694, -0.04999060556292534, -0.1580943912267685, 0.29727429151535034, 0.24955043196678162, -0.40774670243263245, -0.22723649442195892, -0.47895875573158264, 0.566116452217102, -0.05676809325814247, -0.8951051235198975, 0.6907758116722107, -0.5404322147369385, 0.4921639561653137, 0.857461154460907, -0.43067264556884766, -0.13596563041210175, -0.5727031230926514, 0.8899554014205933, 0.6518509387969971, 0.7319743037223816, -0.22918471693992615, 0.19697079062461853, -0.0028366269543766975, 0.6831135153770447, -0.4407799243927002, 0.3092570900917053, -1.7467352151870728, -0.27198323607444763, 0.25969916582107544, 0.4844244420528412, -0.6584292054176331, 0.5556946396827698, -0.33217093348503113, 0.10376781225204468, 0.3081096410751343, -0.06516070663928986, 0.38454076647758484, 1.081416130065918, 0.24537993967533112, 0.7720478773117065, -0.4902675151824951, -0.2558532655239105, 0.6631497144699097, 0.44044026732444763, -0.5051381587982178, 1.3371977806091309, -0.6637069582939148, 0.7973828315734863, -0.8773648738861084, 0.07666800171136856, -0.10246703773736954, 0.7917578220367432, -0.12641267478466034, 0.6055746078491211, 0.7887979745864868, 0.44672998785972595, -1.4828218221664429, -0.6320419311523438, -0.3369300961494446, -0.37539008259773254, 1.7323969602584839, 1.085390329360962, -0.4901576340198517, -0.1007210835814476, -0.10314697027206421, -0.10917265713214874, -0.7839978933334351, -0.30230912566185, -0.3607315719127655, -0.32466283440589905, -0.03339885175228119, 0.15274456143379211, 0.4095492959022522, 1.1948351860046387, 0.013928269036114216, -0.4097367823123932, -0.36416447162628174, -1.75564706325531, -1.6441010236740112, 0.8351999521255493, 0.08865687251091003, -0.5257396697998047, -0.2774844467639923, 0.14632055163383484, 0.7151838541030884, -0.3073628842830658, 0.6274557709693909, -0.025644512847065926, 0.32878440618515015, -0.6450734734535217, -0.29818886518478394, 1.6902077198028564, -0.028559520840644836, -0.7815719842910767, -0.6038640141487122, 1.1405924558639526, 0.42298728227615356, -0.24747245013713837, 0.4981243312358856, -0.8289137482643127, -0.15377011895179749, 0.15048059821128845, 0.6005703210830688, -0.5163492560386658, 0.6073323488235474, 0.13902616500854492, 0.21056360006332397, -0.24973909556865692, 1.0790303945541382, -0.9316949248313904, -0.8264187574386597, -1.0818305015563965, 0.35526251792907715, 0.1945033073425293, -0.2902880012989044, 0.2341964691877365, 0.4083164632320404, -0.4359874129295349, 0.19260592758655548, -0.2202383279800415, -1.4504002332687378, -0.3054599463939667, -0.649408221244812, -0.6436077356338501, -1.3060482740402222, -0.4218437075614929, -0.05840957537293434, 0.28681448101997375, -0.23319002985954285, -0.20655041933059692, -0.2776813209056854, -0.09712667763233185, -0.10055836290121078, 0.50689697265625, -0.2797771692276001, -0.29300087690353394, -0.8319618105888367, 1.4128509759902954, 0.9893841743469238, 0.41891059279441833, -0.1811336725950241, 2.238168716430664, -0.5510411858558655, -0.2478080540895462, 0.6988749504089355, -0.031004533171653748, -0.8331086039543152, -1.024811863899231, -1.1072587966918945, 1.2721909284591675, 1.32265043258667, 0.17135146260261536, -0.648853600025177, 1.248500943183899, 0.4150376319885254, -0.9326391816139221, -0.7992743253707886, 0.5062180161476135, 0.8210808038711548, 0.40367591381073, -0.29278191924095154, 0.2570289671421051, -0.7702344059944153, -0.6991028785705566, -0.2204424887895584, -0.7234324812889099, 0.4353471100330353, -1.146114468574524, -0.4861529767513275, 0.3957025110721588, -0.14963804185390472, 0.0889725387096405, 0.5191909074783325, -1.1096727848052979, -0.18805739283561707, 0.7843032479286194, 0.35050785541534424, 0.22928622364997864, -3.276103973388672, -0.275553435087204, -1.5599979162216187, -0.9617083668708801, 0.21236205101013184, -0.29969322681427, 0.6981003284454346, 0.38518035411834717, 0.25874435901641846, 0.5146509408950806, -0.37932831048965454, -0.344954252243042, -0.1683839112520218, -0.7968438267707825, -0.6743293404579163, -1.3014551401138306, 0.5501731038093567, -1.0823893547058105, -2.116405725479126, -0.3082876205444336, -0.47955814003944397, -0.42169681191444397, -0.38045501708984375, 0.20427075028419495, 0.5093761682510376, -0.3364884555339813, -0.7108959555625916, 0.04966433718800545, -0.6161760091781616, -0.38372287154197693, -0.15510521829128265, 1.233938455581665, 0.4574798047542572, -0.9727201461791992, 0.291611909866333, -0.554876446723938, 0.10534650087356567, 1.2013278007507324, -0.878776490688324, -8.658941268920898, 0.4117196202278137, -1.4524160623550415, 0.059274230152368546, -0.23551364243030548, -0.5716241002082825, 0.1571010947227478, 0.4517503082752228, -0.1900656521320343, 1.152145266532898, -1.3668099641799927, 0.7382166385650635, -0.8372637629508972, -0.31896308064460754, -0.03335688263177872, -0.6716614365577698, 0.9624702334403992, -0.08701803535223007, -0.3768986463546753, -1.4442825317382812, 0.027474841102957726, -0.24953648447990417, 1.031693696975708, -0.48123660683631897, -0.998588502407074, 0.12082783877849579, -1.052513837814331, 0.9102774262428284, -0.2919307053089142, 0.44834843277931213, 0.2941179871559143, -0.9401344656944275, 0.17091381549835205, 0.854774534702301, -0.8145737648010254, 0.01628906838595867, -0.10259690880775452, -0.4913178086280823, 0.534202516078949, -0.9265896677970886, 1.1667312383651733, -0.6205762028694153, 0.9256614446640015, -1.251626968383789, -0.34661170840263367, 0.5285853743553162, 0.058694321662187576, -0.5128181576728821, 0.7462312579154968, -0.9261277914047241, -0.35669079422950745, 0.20709967613220215, 1.4446395635604858, -0.019404523074626923, -0.6803207993507385, -0.9466239809989929, 0.5175648331642151, -0.19871127605438232, -0.09820546954870224, 1.331937551498413, -0.8227967023849487, 0.9174479842185974, 1.6276323795318604, -0.08978749811649323, 1.0568095445632935, 0.06471224129199982, 0.11454872041940689, -0.3692938983440399, -0.512498676776886, 0.026512514799833298, -0.16063809394836426, -0.7463734745979309, 1.7530020475387573, 0.9687935709953308, 0.486138254404068, -0.5472491979598999, 0.018883192911744118, -0.11610118299722672, 0.07903843373060226, 0.05869164690375328, -0.3081817030906677, 0.5178060531616211, -0.870211124420166, 0.3577556610107422, -0.5655024647712708, -0.41647034883499146, 0.1598951667547226, 0.0002348457055632025, 0.05690096318721771, -0.43442681431770325, 0.10249225050210953, 0.2013694941997528, -1.4876832962036133, 0.9402493834495544, 0.248648539185524, 0.28893908858299255, -0.12612691521644592, 0.306693971157074, -0.8349066972732544, -0.6390758156776428, -0.14975935220718384, -0.14610318839550018, 0.6458361148834229, -0.1094503328204155, 2.7014119625091553, 1.2968295812606812, -0.42015916109085083, -0.13275238871574402, 1.0719337463378906, -0.4593999981880188, 1.108612298965454, 0.1989804208278656, 0.6885108351707458, 0.978935718536377, -0.5853615999221802, -0.878969132900238, 0.6608805060386658, 1.1207911968231201, -0.6905872821807861, -0.3317570686340332, -0.9218674898147583, -0.5975965857505798, -0.002101302146911621, 1.0988668203353882, -0.24563565850257874, 0.569632887840271, -0.42932969331741333, 0.6916730403900146, 1.70266592502594, 0.4232410192489624, 0.22817747294902802, 0.9805700182914734, 0.7415798306465149, -0.3318243622779846, -0.04412349686026573, -0.5343561172485352, 0.3331136405467987, 0.4986715018749237, -0.5418141484260559, -0.6498412489891052, 0.07005070894956589, -0.23095443844795227, -0.9355186223983765, -0.5680934190750122, -0.5947416424751282, -0.13277140259742737, -0.5890488028526306, -0.5360428690910339, -0.10437063872814178, -1.5078339576721191, 0.19476908445358276, -0.17633698880672455, 0.13313105702400208, -0.24323205649852753, 0.30070775747299194, -0.05944979935884476, -0.9138523936271667, 0.42165517807006836, -0.7035837173461914, 0.0339333675801754, 0.2609485685825348, -0.09288141876459122, -0.08942240476608276, 2.29671049118042, -1.384700059890747, -0.16626325249671936, -0.04657168686389923, -0.018101349472999573, -0.4817003309726715, -0.07020550221204758, 0.4611095190048218, -1.1529152393341064, 0.9847018122673035, 1.0851908922195435, 1.2066702842712402, -0.7108891606330872, -1.2078499794006348, 1.6274043321609497, 0.22358833253383636, -0.08051423728466034, 0.34984561800956726, 1.6884647607803345, -0.8494994640350342, 0.912422776222229, -1.0477606058120728, -0.15372401475906372, 0.9654863476753235, 1.1150474548339844, -0.002577010542154312, 0.13713321089744568, 0.42877864837646484, 0.565323531627655, -1.098315715789795, 0.589127779006958, -0.4880058169364929, -1.0416977405548096, 0.19673125445842743, 0.23342642188072205, -0.06688405573368073, 0.9405784606933594, 0.022495504468679428, 0.29785647988319397, 0.23846615850925446, -0.2577996551990509, -0.7156854271888733, -0.49407875537872314, -0.2705320715904236, -0.12818776071071625, -0.6286944150924683, 0.4249030351638794, 0.179482564330101, 0.09684079885482788 ]
157
0704.0159
Herv\'e Cercellier
H. Cercellier, C. Monney, F. Clerc, C. Battaglia, L. Despont, M. G. Garnier, H. Beck, L. Patthey, H. Berger, P. Aebi
Evidence for an excitonic insulator phase in 1T-TiSe$_{2}$
Submitted to PRL
null
10.1103/PhysRevLett.99.146403
null
cond-mat.str-el cond-mat.soft
null
We present a new high-resolution angle-resolved photoemission study of 1\textit{T}-TiSe$_{2}$ in both, its room-temperature, normal phase and its low-temperature, charge-density wave phase. At low temperature the photoemission spectra are strongly modified, with large band renormalisations at high-symmetry points of the Brillouin zone and a very large transfer of spectral weight to backfolded bands. A theoretical calculation of the spectral function for an excitonic insulator phase reproduces the experimental features with very good agreement. This gives strong evidence in favour of the excitonic insulator scenario as a driving force for the charge-density wave transition in 1\textit{T}-TiSe$_{2}$.
[ { "created": "Mon, 2 Apr 2007 11:39:47 GMT", "version": "v1" } ]
2009-11-13
[ [ "Cercellier", "H.", "" ], [ "Monney", "C.", "" ], [ "Clerc", "F.", "" ], [ "Battaglia", "C.", "" ], [ "Despont", "L.", "" ], [ "Garnier", "M. G.", "" ], [ "Beck", "H.", "" ], [ "Patthey", "L.", "" ], [ "Berger", "H.", "" ], [ "Aebi", "P.", "" ] ]
07
[ -0.28495490550994873, -0.7035528421401978, -0.5823389291763306, 0.3514222204685211, 0.08174412697553635, 1.3302946090698242, 0.13301566243171692, 1.0166947841644287, -0.5036187171936035, 0.2243371158838272, -0.0010996595956385136, -1.7428672313690186, 0.7096126079559326, -0.13396361470222473, -0.6182957291603088, 0.0955008789896965, 0.8020594120025635, 0.6231672763824463, 0.6886568665504456, 1.017383337020874, 0.6579878330230713, -0.9915453195571899, -0.1386493593454361, 0.03096713311970234, -1.2726948261260986, 0.5254769325256348, -0.19244471192359924, 1.1204543113708496, 0.4824862480163574, -0.1899116188287735, 1.3066543340682983, 0.6757389903068542, 0.6159017086029053, 0.5117471814155579, -0.33402740955352783, -0.39012598991394043, 0.5668497085571289, -1.1054494380950928, -0.7760806083679199, -1.1640886068344116, -0.7446703314781189, 0.04507322981953621, -1.0561829805374146, 0.25918927788734436, -0.3177660405635834, 0.7910680770874023, 0.02065550722181797, -1.0958082675933838, -0.23796580731868744, -0.46927452087402344, -0.6780713796615601, 0.533534824848175, -0.9466252326965332, -0.16983327269554138, -0.25099486112594604, 1.2938342094421387, -0.8510360717773438, 1.071831226348877, 1.065582036972046, -0.2601226270198822, 0.007724375929683447, 0.4774370789527893, 0.3690490126609802, 0.28553780913352966, -0.15055015683174133, 0.7154034972190857, -0.8143118619918823, -0.37712475657463074, 1.0089895725250244, -1.4561734199523926, -0.19047307968139648, 0.2546202838420868, -0.3640890121459961, -0.637971043586731, -0.057121988385915756, 0.06919842213392258, -0.5271109938621521, -0.749890148639679, 0.7491521835327148, -0.4399662911891937, -0.748380720615387, 0.48749759793281555, 0.10186920315027237, -1.4118177890777588, 0.4937080144882202, -0.3056892156600952, 0.5599026083946228, 0.1987227201461792, -0.11753636598587036, -0.6748654842376709, -0.43963271379470825, -0.6715975999832153, -0.018504329025745392, 0.2884211540222168, 0.27865245938301086, -0.35945114493370056, -0.7954232096672058, -0.15485811233520508, 0.19056551158428192, -0.6368376612663269, -0.08526797592639923, -0.6615420579910278, -0.2630987763404846, -0.48716750741004944, 0.8990753293037415, 0.8467289805412292, -0.7531023621559143, -2.1733787059783936, 0.044414762407541275, 0.24555520713329315, -0.2119908332824707, -0.6143255829811096, 0.566207230091095, 0.1855379343032837, -0.4822295010089874, 0.7748211026191711, -0.2216382473707199, 0.6695818901062012, -1.8869093656539917, -0.8016569018363953, 0.19038110971450806, -0.2456991821527481, 0.9131340980529785, 0.4981110990047455, 0.2113276869058609, -1.9669846296310425, 0.843146026134491, -0.5197038650512695, 1.1142810583114624, -0.6618017554283142, -0.5629291534423828, -0.405509352684021, -0.525560736656189, -0.27073466777801514, -0.3829262852668762, -0.23425886034965515, -0.10586564242839813, -0.6840599775314331, -0.26738372445106506, -0.42880186438560486, -1.2853256464004517, 0.010949193499982357, -0.3363508880138397, 1.1422713994979858, 1.3714869022369385, -0.39314186573028564, -0.4160337448120117, -1.052944302558899, -0.8957155346870422, -0.06044186279177666, -0.390983909368515, 0.24925602972507477, -0.38829997181892395, 1.3396766185760498, -0.21575228869915009, 0.364863783121109, 0.6523330807685852, 0.7215362787246704, -1.2957837581634521, 2.0698533058166504, 0.878673791885376, 0.10449938476085663, 0.6196610927581787, -1.285015344619751, 0.29724374413490295, -1.2042210102081299, 1.1727445125579834, -0.4728226363658905, 0.04238157346844673, 0.1503801941871643, 1.1422661542892456, 0.165756955742836, 0.09314070641994476, 0.29307979345321655, -0.749472975730896, 0.5471915602684021, 0.40235817432403564, 0.041774358600378036, -0.18769188225269318, 0.162108913064003, 0.06231934577226639, -1.1604135036468506, -0.5701773166656494, -0.7263894081115723, 0.13653522729873657, 0.40896254777908325, 0.839156985282898, 0.04168584197759628, 0.2820507287979126, 1.1853069067001343, 0.40952420234680176, 0.4503037929534912, -0.7932934165000916, 0.3600456118583679, 0.4393385648727417, 0.653870165348053, -0.14923089742660522, -0.22682304680347443, -0.3425602316856384, -1.157342553138733, -0.5587559938430786, 0.04310828447341919, -0.37011581659317017, -0.14001142978668213, -0.8344255685806274, 2.1763532161712646, 0.4188553988933563, 0.05985735356807709, 0.17220988869667053, -0.6699443459510803, -0.23361335694789886, -0.1939493715763092, -1.196390986442566, -0.6704899072647095, -0.4505736529827118, -0.6066033840179443, 0.1902959644794464, -2.7132840156555176, 1.0025678873062134, -0.2944753170013428, -0.7197650074958801, 0.42935627698898315, 0.024697711691260338, 0.00045057866373099387, -0.44039684534072876, 0.5758947730064392, -0.07305844128131866, 0.12605325877666473, -1.1734975576400757, 0.16198831796646118, 0.1477048248052597, -0.7832492589950562, 0.7281920313835144, -0.29194948077201843, -0.21582579612731934, 1.4825284481048584, -0.46047475934028625, -0.14576266705989838, -0.7644062638282776, -0.228546142578125, -0.14411519467830658, 0.9002714157104492, -0.5414868593215942, -0.8548899292945862, 1.1437907218933105, -0.8003622889518738, -0.30788540840148926, 0.30466172099113464, -1.1403251886367798, 0.4656558036804199, -0.1468638926744461, -0.15687327086925507, 0.5608971118927002, -0.05174967274069786, -0.6929190158843994, -0.9523736238479614, 0.22579213976860046, -0.574749767780304, -0.4744790494441986, 0.6083900332450867, 0.33908313512802124, 0.5819021463394165, -0.2657478153705597, -1.747945785522461, -0.5303979516029358, -0.27103617787361145, 0.7999669909477234, 0.6989611983299255, 0.7173798084259033, -1.3136552572250366, 0.4199134111404419, 0.5484779477119446, 0.15895241498947144, 0.5492488145828247, 0.8826070427894592, 0.5125360488891602, -0.46469831466674805, 0.43140408396720886, -0.840762734413147, -0.08329001069068909, 1.8295526504516602, 0.6273013353347778, -0.3971221446990967, 1.3252809047698975, 2.0342698097229004, 0.5620375871658325, 1.2098280191421509, -0.008806946687400341, -1.8296889066696167, 0.7233083248138428, 0.8124383687973022, -0.21286068856716156, -1.4983623027801514, -0.2270345836877823, -0.32636529207229614, -0.27600809931755066, 0.4591013491153717, -0.2575109601020813, 0.4703301191329956, -0.9449660181999207, 1.984903335571289, 1.59980309009552, -0.07052609324455261, -1.1197686195373535, 0.30216869711875916, -0.2635689377784729, -0.2444843053817749, -0.7020209431648254, 0.07845814526081085, -0.6923808455467224, -0.7066582441329956, 1.8585941791534424, -0.29039090871810913, -0.14530886709690094, 1.031247615814209, 0.12376157939434052, -0.017913322895765305, 0.12779313325881958, -0.9477736949920654, 0.032228972762823105, 0.22968672215938568, 0.6793238520622253, -0.48898816108703613, -0.9274076223373413, 0.6113897562026978, -0.3467918038368225, 0.03537522628903389, 0.49274536967277527, 0.8237845301628113, 1.0609447956085205, -0.06235427409410477, 0.015488719567656517, -0.6895450353622437, 0.6542189121246338, 0.7912089228630066, 0.0465758815407753, -0.038479022681713104, -0.01389817800372839, 1.7897297143936157, 1.1442896127700806, -0.8377152681350708, 0.19634763896465302, 1.178572654724121, 0.28393876552581787, -1.3422523736953735, -0.8437746167182922, 0.44407621026039124, -0.09601635485887527, 0.7720100283622742, -0.830813467502594, -1.3212031126022339, -0.395982950925827, 0.7451441287994385, -1.2425012588500977, 0.25643467903137207, -0.04722796753048897, 0.7665741443634033, 0.4816818833351135, -0.25730985403060913, -1.1395291090011597, -0.34317442774772644, -0.7855952382087708, 1.0263991355895996, 0.2935745418071747, 0.5832446217536926, -0.16791056096553802, -1.2627546787261963, -0.7166417837142944, 0.6590335369110107, 0.5303699374198914, -0.3017965257167816, 0.3519535958766937, 0.37996214628219604, 0.21128229796886444, -0.711880087852478, 0.011443983763456345, -2.117259979248047, 0.9970580339431763, -0.8256726861000061, 0.5341991782188416, -0.23190757632255554, 1.2730308771133423, 0.9504360556602478, 0.5563158392906189, -0.63006192445755, 0.4874568581581116, 0.439241886138916, 0.5551623702049255, 0.6342697143554688, 0.22176633775234222, -1.0387650728225708, 0.1367872655391693, 0.002567852381616831, -0.07737492769956589, -0.4658101797103882, 0.9994994401931763, 1.2277252674102783, 0.6923887133598328, 0.35337546467781067, -0.13359232246875763, 0.40325093269348145, 1.0478286743164062, -0.4270574152469635, -1.3581000566482544, -0.22961272299289703, -0.37914279103279114, -0.6313620805740356, 0.1406041830778122, -0.34251725673675537, -1.206470012664795, -0.2254643589258194, 0.6580920219421387, -0.4892179071903229, -1.8454158306121826, -0.4265006482601166, -0.3549233376979828, 0.11225663125514984, 0.9543120265007019, -1.328955888748169, -0.2277487963438034, 0.03877546265721321, 0.09368164837360382, 0.0651734471321106, 0.8693827390670776, -1.5008866786956787, 0.06373216956853867, -0.1413700431585312, -0.6199376583099365, 0.9964812994003296, -0.5779926180839539, 0.5885270237922668, 0.40775907039642334, -0.3752298653125763, 0.7163873910903931, -0.18254154920578003, -1.234694480895996, 0.024428920820355415, 1.2254503965377808, 0.43664807081222534, -0.46036431193351746, 0.07246328890323639, -0.595716655254364, 0.5593161582946777, -0.32834765315055847, 1.9602715969085693, -0.7721245884895325, -1.1565765142440796, 0.6808379292488098, -1.1277735233306885, -0.6960784196853638, -0.442810982465744, 0.8453506827354431, -0.8443378210067749, 0.05552799999713898, -0.3430435061454773, 0.019679907709360123, -0.6098852157592773, -0.08251969516277313, -0.06419247388839722, 1.813905954360962, -0.8853421211242676, -1.2314300537109375, -0.7014719843864441, -0.2820533812046051, -0.5979328751564026, 0.11335144191980362, 0.11898654699325562, -0.10907403379678726, 0.20261193811893463, -0.269365131855011, -0.3496658205986023, 0.005610938649624586, 0.6422560214996338, -0.48971763253211975, -0.14379984140396118, -1.3466812372207642, 0.4048725664615631, 0.5712325572967529, 1.1775753498077393, 0.6484004855155945, 0.9610364437103271, 0.19303765892982483, -1.2116520404815674, -1.0770933628082275, -0.7889059782028198, -2.4269564151763916, -1.5472627878189087, 0.651482880115509, -0.6485928893089294, 0.3580218553543091, 1.384311556816101, -0.22625483572483063, 0.10948241502046585, -1.354477047920227, 0.6099581718444824, 1.3641315698623657, -0.7474299669265747, -0.3922765851020813, -0.10582597553730011, -0.49154824018478394, 0.10498631000518799, 0.0219504926353693, 0.3342728316783905, 0.49519023299217224, 0.43368083238601685, -0.16413486003875732, -0.19734296202659607, -0.14756616950035095, 0.06481871008872986, -0.06908012926578522, -0.5901936888694763, -0.8366082906723022, 0.7945202589035034, -0.29835715889930725, 0.5371928215026855, -0.6145127415657043, -0.8935290575027466, -1.6748789548873901, -0.6666938662528992, 0.8965601325035095, -0.20694328844547272, -0.4524839520454407, 0.10549714416265488, 0.8381377458572388, -0.25456881523132324, -0.10348547250032425, -0.21248380839824677, -0.13617892563343048, 0.5178554058074951, 0.3997024893760681, -0.9516098499298096, 0.2610602378845215, 0.33080580830574036, -0.28191104531288147, 1.0314908027648926, -0.3670288324356079, 0.7895671129226685, -0.5027547478675842, -1.5712286233901978, 1.0008108615875244, -0.1803763061761856, -0.3740856349468231, -0.7471420764923096, -0.5692747831344604, -0.45839184522628784, 0.18322183191776276, -0.3409377932548523, -0.3053103983402252, -0.47285136580467224, 0.44171568751335144, -0.15730386972427368, -0.14188282191753387, -1.1188440322875977, -0.7009326815605164, 0.061404675245285034, 0.9680030345916748, -6.666815280914307, -0.2830134928226471, -0.4403311610221863, -0.1621488630771637, 0.4751775860786438, -1.0460145473480225, -0.5121098756790161, 0.7438207864761353, 0.7161294221878052, 0.46590712666511536, -1.1079572439193726, 0.17405985295772552, -0.21270570158958435, -0.6003431677818298, 0.4273936152458191, -0.06561984866857529, 1.0411731004714966, 0.42690807580947876, 0.0677371621131897, -0.6430146098136902, 0.9522459506988525, -0.4895806610584259, -0.4018966853618622, -0.8554736971855164, 0.6639464497566223, -0.7299904227256775, -0.013045713305473328, -0.4290563464164734, 0.3604183495044708, 0.41555535793304443, 0.790927529335022, 1.6328011751174927, -0.21737642586231232, -0.5139279365539551, 0.7179364562034607, 0.4826204180717468, 0.2411138117313385, 1.1060072183609009, 0.2126036137342453, -0.38372480869293213, 1.0286957025527954, 0.30932489037513733, 0.5399279594421387, -1.375241994857788, 0.005590558052062988, 1.6974809169769287, 0.12948930263519287, -0.5474072694778442, 0.9215816259384155, 0.9885700345039368, 0.35968858003616333, -0.18154308199882507, 0.908629298210144, -0.004660251084715128, -1.046801209449768, -0.6238653063774109, -0.6839802861213684, 0.2013813853263855, -0.858055830001831, 0.020005082711577415, -0.3167979121208191, 0.859886646270752, -0.32974958419799805, -1.253909707069397, 1.0668281316757202, -0.6813535094261169, -0.10822722315788269, 0.14282366633415222, -0.27905330061912537, 1.983333945274353, -0.171308696269989, -0.7892467379570007, -1.3024502992630005, 0.7686281800270081, -0.6535066366195679, -0.3825471103191376, -0.37321317195892334, 0.12050767242908478, 0.30889472365379333, 0.087870292365551, 1.7819881439208984, -0.29745617508888245, 0.7966665029525757, 0.10843609273433685, 0.1958448737859726, -0.36829742789268494, -0.7134672999382019, -0.2690081000328064, -0.5781313180923462, 1.685677170753479, -0.1948927342891693, 0.24621273577213287, -0.1454574018716812, 0.7520612478256226, -0.9453886151313782, -0.044593337923288345, 0.5288601517677307, -1.7059773206710815, -0.05006979778409004, -0.40546900033950806, 0.9474408030509949, -0.3280971050262451, -0.6353225111961365, 0.3847125172615051, -1.0246615409851074, 0.6292367577552795, 0.3943210542201996, -0.6854206323623657, -0.4182540774345398, -0.13818615674972534, 0.5936720967292786, -1.4540274143218994, 0.3731918931007385, -0.5515392422676086, -0.29058635234832764, 1.544276237487793, -0.15389277040958405, -1.371638536453247, -1.5791090726852417, -0.3865475654602051, -1.1451598405838013, 0.3700193166732788, 1.0453554391860962, 0.044342461973428726, 0.203002467751503, 0.8306555151939392, -0.7271997332572937, -1.5783334970474243, -0.19574590027332306, -0.4179363548755646, -0.20023559033870697, 0.5745536088943481, -0.3106018006801605, 0.41341516375541687, 0.4633912742137909, 0.996065616607666, -0.49131765961647034, 0.32571786642074585, -0.16095954179763794, 0.42096146941185, -0.34046274423599243, -0.6934190392494202, -0.2236710488796234, 0.4802764058113098, 0.5762339234352112, 0.35921427607536316, 0.3966119885444641, 0.5475596785545349, -0.3847445249557495, 0.04755917936563492, -0.9685066938400269, 1.0467523336410522, -1.2643120288848877, 0.28959912061691284, -0.889672577381134, 0.5949192643165588, 0.20186747610569, -1.01435124874115, -0.457267701625824, -0.4520598351955414, -0.2911422848701477, 0.1310512125492096, -1.432996153831482, 0.47415298223495483, 0.43744221329689026, -0.00336393597535789, 0.3968066871166229, 0.32757991552352905, -0.7544419169425964, -0.1509029120206833, -0.23020358383655548, 0.3264239430427551, -0.12679952383041382, -1.866628646850586, 0.062295518815517426, 0.9625632166862488, 0.2079612761735916, -0.9928898215293884, -0.9166038036346436, 0.16892266273498535, 0.014887436293065548, 0.20155929028987885, 0.682545006275177, -0.2531011700630188, -0.9125385284423828, -0.07908360660076141, -1.1216037273406982, -0.7164584994316101, -0.36997824907302856, -0.04117531701922417, -0.4577229619026184, -0.6675052642822266, 0.056803736835718155, -1.3264625072479248, -0.7396774291992188, 0.26673710346221924, -0.24017387628555298, 0.06372198462486267, -0.33389565348625183, -0.07893325388431549, 0.1505298763513565, 0.5877751111984253, 0.4582870602607727, -0.1060580462217331, 0.7751008868217468, 1.381195068359375, 1.2567086219787598, -0.4552716016769409, -0.4109283685684204, 0.33423569798469543, 2.069495916366577, 0.12379855662584305 ]
158
0704.0160
Grazyna Stasinska
G. Stasinska, G. Tenorio-Tagle, M. Rodriguez, W. J. Henney
Oxygen-rich droplets and the enrichment of the ISM
4 pages, 5 colour figures, to be published in the proceedings of the conference "The Metal-Rich Universe", Cambridge University Press
null
null
null
astro-ph
null
We argue that the discrepancies observed in HII regions between abundances derived from optical recombination lines (ORLs) and collisionally excited lines (CELs) might well be the signature of a scenario of the enrichment of the interstellar medium (ISM) proposed by Tenorio-Tagle (1996). In this scenario, the fresh oxygen released during massive supernova explosions is confined within the hot superbubbles as long as supernovae continue to explode. Only after the last massive supernova explosion, the metal-rich gas starts cooling down and falls on the galaxy within metal-rich droplets. Full mixing of these metal-rich droplets and the ISM occurs during photoionization by the next generations of massive stars. During this process, the metal-rich droplets give rise to strong recombination lines of the metals, leading to the observed ORL-CEL discrepancy. (The full version of this work is submitted to Astronomy and Astrophysics.)
[ { "created": "Mon, 2 Apr 2007 10:25:01 GMT", "version": "v1" } ]
2007-05-23
[ [ "Stasinska", "G.", "" ], [ "Tenorio-Tagle", "G.", "" ], [ "Rodriguez", "M.", "" ], [ "Henney", "W. J.", "" ] ]
07
[ -0.4535199999809265, -0.025859683752059937, 0.16837859153747559, -1.2095946073532104, -0.8736328482627869, 0.8194743990898132, -0.6662821173667908, 0.06478967517614365, 0.4625519812107086, -0.8256790041923523, 0.29793065786361694, 1.0815967321395874, 0.0017752295825630426, 0.018121886998414993, 0.07697132974863052, -0.7507577538490295, 0.6163042187690735, 0.06314639002084732, -0.07176894694566727, 0.2754521369934082, 0.27594897150993347, 0.5448981523513794, 0.03988279774785042, -0.4186876714229584, -0.38591068983078003, 0.6756811141967773, -0.3296954929828644, 0.706527054309845, 0.42533352971076965, -0.47606393694877625, -0.6098824739456177, 0.12798595428466797, -1.0129765272140503, 0.016365237534046173, 0.45375147461891174, -0.9303197860717773, 0.301380455493927, 0.3774440288543701, -0.2155926376581192, -1.4563137292861938, 0.28795814514160156, 0.38120293617248535, 1.5189058780670166, -0.07567599415779114, 0.04757417365908623, 0.3673761188983917, -1.6399444341659546, -0.9608227610588074, 0.029632097110152245, 1.6588242053985596, 0.6689380407333374, -0.3897673785686493, -0.2308453917503357, -0.08817365765571594, 0.20991073548793793, -0.8362975120544434, -1.1464810371398926, 0.19965170323848724, -0.3605490028858185, 0.5567318201065063, 0.8113459348678589, -0.6988770961761475, 0.6533765196800232, 0.6537250876426697, -0.28780221939086914, -0.2443791925907135, -0.5762144923210144, -0.13723930716514587, -0.5123030543327332, -0.854326605796814, -0.8671729564666748, -0.2947886288166046, -0.18847402930259705, -0.511862576007843, 1.0741701126098633, -0.12374845892190933, -0.40604034066200256, -0.2532019317150116, 0.7168707251548767, 0.6159298419952393, -0.3666861057281494, 0.06088073179125786, -1.2284353971481323, -0.9974985122680664, -0.764471709728241, -0.2768920660018921, -0.36636289954185486, 0.39754602313041687, 0.3511577248573303, -0.9053070545196533, 0.27673035860061646, 0.4396188259124756, 0.5655487179756165, -1.5249618291854858, -0.24614860117435455, 0.4345308542251587, -1.1603270769119263, -0.1946856826543808, 0.02593400701880455, 1.569108486175537, -0.6789694428443909, 0.190829798579216, 0.06954947859048843, 0.9071129560470581, 0.054074157029390335, -0.895331084728241, -0.2473745048046112, -1.352489709854126, 0.12318054586648941, -0.5637785196304321, 0.11834187060594559, -0.4911428689956665, -0.3680686354637146, 0.40491893887519836, -0.2927893400192261, 0.7369124889373779, 0.28816986083984375, 0.6346420645713806, 1.1885610818862915, 0.4112260639667511, 0.5812568664550781, 0.8320757150650024, -2.0449793338775635, 1.5352510213851929, 0.2219800353050232, -0.33623039722442627, 0.28021761775016785, -0.023697229102253914, -0.22297446429729462, -0.5472991466522217, 0.006362127605825663, 0.5510905385017395, -0.4844357371330261, 0.4262112081050873, 0.07072766870260239, -0.5091290473937988, -0.9312523603439331, 0.26695358753204346, -0.5158345699310303, -0.31768980622291565, 0.7770127058029175, 0.3393719792366028, -0.5000277161598206, 0.4680533707141876, -1.2790846824645996, 0.43918952345848083, 1.4827133417129517, -0.02128007262945175, 0.6775269508361816, -0.3793424963951111, -0.40787050127983093, -1.1084027290344238, 0.40539929270744324, 0.5428333878517151, -0.3885263502597809, 0.5383942723274231, 0.24722835421562195, -0.11080561578273773, 0.20396815240383148, 0.30818137526512146, 0.06295156478881836, -1.5067912340164185, 0.42803430557250977, -0.5952298641204834, -0.9895427823066711, -0.15463310480117798, 0.8278807401657104, -0.44182416796684265, 0.3556705117225647, 0.712070882320404, 0.22316409647464752, 1.1504088640213013, 0.2598525881767273, 0.14132389426231384, -0.22310619056224823, 0.7193566560745239, 1.0735808610916138, -0.9011086821556091, -1.4002944231033325, 0.6311501860618591, 0.7152279615402222, 1.2137542963027954, -1.0548771619796753, -1.5362484455108643, 0.6292316317558289, 0.5483346581459045, -0.12696564197540283, -0.28987953066825867, 0.39453116059303284, 1.2483296394348145, 0.11887453496456146, -0.5490620732307434, -1.711750864982605, -0.8928219079971313, -0.7079451680183411, 0.8261134028434753, 0.8074782490730286, 0.054230548441410065, -0.608032763004303, 0.021954713389277458, -0.6737234592437744, -0.4131072163581848, -0.49409008026123047, -0.7804684638977051, -0.5709643959999084, 0.528593897819519, -0.34329119324684143, 1.3720029592514038, 0.843025803565979, 0.8996864557266235, -0.3160044550895691, 0.4679614007472992, -0.09448259323835373, 1.423987865447998, 1.2911285161972046, 0.15188691020011902, 0.10618670284748077, -1.769378423690796, -0.6376305222511292, 0.14425039291381836, 0.43095746636390686, 0.4945996105670929, 0.041319672018289566, -0.6604694128036499, -1.0565242767333984, 0.3308517038822174, 0.7140612602233887, -0.5951653718948364, 1.2535045146942139, -0.03955115005373955, 0.04023284465074539, -1.2310259342193604, -0.21993130445480347, -0.9109506607055664, 1.529313564300537, -0.026487598195672035, -0.44063690304756165, 0.24186481535434723, -1.8021855354309082, 0.6327623724937439, -0.10760698467493057, 1.6094565391540527, 0.2610611915588379, 0.3697093725204468, -0.13987897336483002, 0.46601662039756775, 0.7900905609130859, -0.3696385622024536, -1.736712098121643, -0.295232892036438, -1.345430612564087, 0.1323031783103943, 0.21077914535999298, -0.17029765248298645, 0.064191073179245, -0.2093815803527832, 0.2172049731016159, -0.7277206778526306, -0.5273436903953552, -0.061706043779850006, -0.5412525534629822, 0.3004431128501892, -0.3820965886116028, 0.6069951057434082, -0.31756994128227234, -0.4941358268260956, 1.2776252031326294, -0.761633574962616, -1.4255620241165161, -1.0672879219055176, 0.48386290669441223, 0.691474199295044, -0.12620477378368378, 0.8286241292953491, 0.6434794068336487, -0.3452838063240051, -0.5054384469985962, -0.45412442088127136, -0.5751981139183044, -0.6640514135360718, -0.21528032422065735, 0.1391836255788803, 0.3811817169189453, -0.07644373178482056, -0.29011887311935425, 0.2980213165283203, 0.6793908476829529, -0.8648358583450317, 0.7761059403419495, 0.6571021676063538, -0.7287097573280334, 0.25577154755592346, -0.35271698236465454, -0.441193550825119, -1.2939436435699463, 0.6865464448928833, 1.0350756645202637, -1.577428936958313, 0.02642497792840004, -0.8730865716934204, 0.6744316816329956, 0.24615240097045898, 0.6933832168579102, 1.0603234767913818, 1.71224045753479, -0.3902556598186493, -0.807422399520874, -0.5206563472747803, 0.0020307947415858507, 0.6636704802513123, 0.8238670229911804, -0.821284294128418, 0.4224320650100708, 0.22614669799804688, 1.0507487058639526, 1.321620225906372, -0.03440630063414574, -0.029814602807164192, -0.2783251404762268, -1.0597302913665771, 0.12227513641119003, 0.8989760875701904, -0.9516104459762573, 0.8457698822021484, -0.8268042206764221, 0.24038146436214447, -0.8042051792144775, -0.4233962595462799, 1.6894524097442627, 0.1901741623878479, 0.32717201113700867, 0.6580134034156799, 0.765966534614563, 1.0285767316818237, 0.4712100028991699, -0.18931244313716888, 1.704021692276001, 1.0318018198013306, 0.919825553894043, 0.2843586206436157, -0.238050177693367, 0.5750213861465454, 0.5796673893928528, 1.5117815732955933, -0.9579411149024963, -0.02546805515885353, -0.6848998665809631, 0.21188651025295258, -0.014412542805075645, 0.009481812827289104, -0.678506076335907, 0.12852226197719574, 0.16354519128799438, -0.4166349470615387, 0.44541704654693604, 0.6805786490440369, 0.5253999829292297, 0.00997463520616293, -0.5547254085540771, 0.029935603961348534, 0.7117956280708313, -0.4821966290473938, -1.1818443536758423, 0.4589334726333618, 0.42704424262046814, -0.08482248336076736, -1.2088159322738647, -0.958884596824646, -0.6425886154174805, 0.7103515267372131, -0.5604705214500427, -0.5019687414169312, -0.6500357389450073, 0.17900216579437256, -0.7348337769508362, 0.038436729460954666, 0.3863331079483032, -0.16991561651229858, -0.215394988656044, -0.31544578075408936, -0.8818582892417908, 0.8743042945861816, -0.415355384349823, 1.1453535556793213, -0.12654846906661987, 0.613699734210968, -1.2080565690994263, 0.42655113339424133, 0.618435800075531, -0.012425271794199944, -0.6176877617835999, 0.1860044002532959, 0.14680171012878418, -0.7536039352416992, 0.9575271606445312, 0.5213100910186768, -0.23184439539909363, 0.49753227829933167, 0.40698832273483276, -0.907302737236023, -0.7931086421012878, -0.4529677927494049, 0.2723259925842285, -1.3708102703094482, -1.1551851034164429, -0.15641121566295624, -0.6386868357658386, 0.16685812175273895, -0.2547079026699066, -1.083264946937561, -1.0614224672317505, 0.3523274064064026, -0.4828417897224426, 0.17175357043743134, 0.3248918950557709, -0.1309843808412552, 0.27156317234039307, 0.4382370114326477, 0.43341064453125, -0.6165632605552673, -0.08976655453443527, -0.7096390128135681, -0.5066514015197754, 0.8935631513595581, 1.1812800168991089, 0.6467037796974182, 0.39579248428344727, 0.4434410333633423, -0.24721819162368774, 0.328806608915329, 1.5309189558029175, -0.5013226866722107, -0.078666090965271, -0.15904945135116577, -0.43838393688201904, -0.15194150805473328, 0.1519300639629364, -0.3523223102092743, -0.17132428288459778, 0.5774946808815002, 0.7214832305908203, -0.7904743552207947, 0.7534696459770203, 0.10206934064626694, -0.7856769561767578, -0.9061371088027954, -0.29672473669052124, -0.683407187461853, -0.08497430384159088, -0.02969338186085224, -0.19196631014347076, -0.8016831278800964, 0.31382185220718384, 0.08547088503837585, -0.1743117868900299, 0.3881682753562927, -0.5288503766059875, -1.2270922660827637, -1.5789843797683716, -0.12072887271642685, 1.4578450918197632, -0.02064918354153633, -0.2180393934249878, 0.9134585857391357, 0.4066654443740845, 0.4324495494365692, 1.331325888633728, -1.3893378973007202, -0.35520002245903015, -0.8229072690010071, 0.23657691478729248, 0.7431978583335876, 0.18619322776794434, -0.20634236931800842, 0.5660644173622131, 1.491471290588379, 0.15908196568489075, -0.20555348694324493, 0.2786954343318939, -0.4279703199863434, 0.3453068733215332, -0.12055537104606628, -0.4491958022117615, -0.5556136965751648, -0.6622883677482605, 0.6327129006385803, 0.9892049431800842, 0.37536749243736267, -0.03717001900076866, -0.6084728240966797, 1.3172483444213867, -0.45356783270835876, -1.1151067018508911, -0.014711392112076283, -0.29751452803611755, 0.2703554630279541, -0.5896599292755127, -0.08348536491394043, 0.3581811785697937, 0.2596737742424011, -0.3586294651031494, 0.9239925146102905, 1.0096198320388794, -1.5342742204666138, -1.1141127347946167, 0.6717138290405273, -0.648312509059906, 1.391652226448059, -1.0959300994873047, 0.26304736733436584, -0.5311872959136963, 2.0400753021240234, 0.9562758207321167, -0.07289721816778183, 0.8747407793998718, -0.8808870911598206, 0.3057563006877899, -3.0942676067352295, 0.6083894371986389, -2.1031367778778076, -0.8947285413742065, 0.2310253232717514, -0.5424159169197083, -0.9947795271873474, -0.9223085641860962, 0.030854422599077225, -0.7087775468826294, 0.6178253889083862, -0.3051147162914276, 0.7662193775177002, 0.9890316724777222, 0.7560974359512329, 0.24398699402809143, 0.01322079449892044, 0.41941872239112854, -0.3747622072696686, 0.044121433049440384, 0.1699398159980774, 1.1130512952804565, -0.7182726860046387, -0.2732224762439728, 0.4077903628349304, 0.5599275231361389, -0.61378413438797, 0.7630724310874939, -0.36197012662887573, 0.34415894746780396, -0.15177084505558014, 0.849477231502533, 0.21045935153961182, 0.3103281557559967, -1.303506851196289, -0.1178179383277893, -0.8359951972961426, 0.8471893668174744, -0.5024734139442444, -8.082965850830078, 0.8583025932312012, 0.5120096802711487, 0.09944196045398712, -0.4864118993282318, -0.996288001537323, 0.04029544070363045, -0.24283303320407867, -0.8786685466766357, 0.006601476110517979, 0.4005068838596344, -0.13075165450572968, -2.088249921798706, 0.5162400603294373, 0.0904165580868721, 0.2663020193576813, -0.6549297571182251, 0.27023106813430786, -0.7236200571060181, 0.24931254982948303, -0.6941004395484924, 1.7378216981887817, -0.06005306541919708, -0.2204965502023697, 0.17398826777935028, -0.07906594127416611, -0.42462027072906494, 1.5408859252929688, -0.061560072004795074, -0.10318715125322342, -0.4291442632675171, 0.4174407422542572, -0.4263782203197479, 0.2588338255882263, 0.8850215673446655, 0.9238535165786743, 0.4600743353366852, 0.7085220217704773, 0.6615296602249146, -0.14724577963352203, 0.5387784838676453, 1.2791270017623901, 0.046708643436431885, -0.8218150734901428, -1.2739191055297852, 0.8407341837882996, 0.10664746910333633, -0.5771615505218506, -0.5476511120796204, 1.2074484825134277, 0.2847548723220825, -0.7638712525367737, 0.47119614481925964, 0.371147483587265, -0.22308120131492615, -1.0559414625167847, -1.1555871963500977, -0.7196104526519775, -1.3991328477859497, -0.29979023337364197, -0.6977078914642334, -0.11887232214212418, 1.400164246559143, -1.6356849670410156, 0.10644852370023727, 0.6305760145187378, 0.2775302529335022, 0.10834439843893051, -0.47347649931907654, -1.6733421087265015, 0.4934759736061096, -1.5081950426101685, -0.16075271368026733, 0.6990815997123718, -0.6153323650360107, 0.24959732592105865, -0.6010569334030151, 0.15202975273132324, 0.4623965620994568, -0.23301368951797485, 0.5438954830169678, 0.8973363637924194, -0.11667574942111969, 1.0547624826431274, -1.1028754711151123, -0.7449860572814941, 0.13566094636917114, -0.8599399328231812, -0.6914526224136353, 0.6529289484024048, -0.42309093475341797, 0.4275062382221222, -0.49317896366119385, -0.34180036187171936, 0.8817921876907349, 0.08096534758806229, -0.45811817049980164, -0.798336386680603, -1.528668999671936, 0.20021241903305054, 0.7469878792762756, 0.10110588371753693, -0.48065441846847534, 0.6510540843009949, -0.4763461649417877, -0.579185426235199, -1.4611611366271973, 1.2425183057785034, -0.6327465772628784, 0.6789083480834961, 0.8026392459869385, 0.06336534768342972, 0.5232482552528381, 0.7958087921142578, -0.055709108710289, 0.18323004245758057, 0.3069957494735718, 0.22996479272842407, -0.3626081943511963, 0.5748234987258911, -0.4025106728076935, -1.1651849746704102, -1.0717194080352783, 0.03830471634864807, -0.5298609733581543, -0.03888882324099541, -0.8571982383728027, -0.9378660917282104, 0.0213621873408556, 0.661191999912262, -1.0296739339828491, 0.005110783502459526, -0.21281106770038605, -1.7041304111480713, 0.1498998999595642, 0.7077978849411011, -0.43338295817375183, -0.18537326157093048, -0.07480716705322266, -0.08009445667266846, 1.1069719791412354, -1.7655298709869385, 0.17047017812728882, -0.6149163246154785, -0.12679912149906158, -0.513847827911377, 0.32138946652412415, 0.7144948244094849, 0.06699865311384201, -0.547121524810791, 0.9854548573493958, 0.6299307942390442, -0.4641275405883789, -0.010274246335029602, 0.300372838973999, -0.2643534541130066, -0.1552124321460724, -0.3695641756057739, -0.11012822389602661, 0.13070893287658691, -0.34229451417922974, -0.21077454090118408, -0.8324519395828247, -0.13897763192653656, -0.3591562509536743, -0.30940377712249756, -0.8244590759277344, 0.884764552116394, -0.9419457912445068, -0.16528603434562683, -0.08228404819965363, 0.21072372794151306, -0.38845857977867126, -0.6686679720878601, 0.5262032151222229, -0.40354788303375244, 0.10574869811534882, 1.3255702257156372, 0.22500790655612946, -0.7616146206855774, 0.6534002423286438, 0.11902157962322235, -0.16957953572273254, 0.6097068190574646, 0.04927211254835129, 0.10741674154996872, -0.5068692564964294, 0.7154436111450195, -1.818307638168335, -0.6108058094978333, 0.9531251788139343, 0.46039989590644836, -1.9340592622756958, 0.36680522561073303, -1.6207984685897827, -0.5694059133529663, 0.10410761833190918, 0.25275102257728577, -0.26307299733161926, -0.27862951159477234, -0.7255914211273193, -0.9144341349601746, 0.48776891827583313, 0.290321409702301, -0.4131745398044586, 0.4095522165298462, 1.35794997215271, 0.39604252576828003, -0.41701802611351013, -0.42314213514328003, -0.7291519045829773, -0.7760383486747742 ]
159
0704.0161
Sharat Chandra
T. R. Ravindran, A. K. Arora, Sharat Chandra, M. C. Valsakumar and N. V. Chandra Shekar
Soft modes and NTE in Zn(CN)2 from Raman spectroscopy and first principles calculations
Submitted to Phys. Rev. Letters
null
10.1103/PhysRevB.76.054302
null
cond-mat.mtrl-sci
null
We have studied Zn(CN)2 at high pressure using Raman spectroscopy, and report Gruneisen parameters of the soft phonons. The phonon frequencies and eigen vectors obtained from ab-initio calculations are used for the assignment of the observed phonon spectra. Out of the eleven zone-centre optical modes, six modes exhibit negative Gruneisen parameter. The calculations suggest that the soft phonons correspond to the librational and translational modes of CN rigid unit, with librational modes contributing more to thermal expansion. A rapid disordering of the lattice is found above 1.6 GPa from X-ray diffraction.
[ { "created": "Mon, 2 Apr 2007 10:29:58 GMT", "version": "v1" } ]
2009-11-13
[ [ "Ravindran", "T. R.", "" ], [ "Arora", "A. K.", "" ], [ "Chandra", "Sharat", "" ], [ "Valsakumar", "M. C.", "" ], [ "Shekar", "N. V. Chandra", "" ] ]
07
[ -0.2709754705429077, 0.865446150302887, -0.47564011812210083, -0.7736405730247498, -0.34545600414276123, 0.3359355926513672, -0.25554198026657104, 0.4000242054462433, 0.5510578751564026, 0.39912325143814087, 0.6937944293022156, 0.16321159899234772, 0.71269690990448, 0.28618302941322327, -0.6460014581680298, -0.24677100777626038, 1.0996209383010864, -0.21503254771232605, 0.4664640426635742, 0.3745686113834381, -0.2509561777114868, -0.5031927227973938, -0.19825243949890137, -0.27548301219940186, 0.03461882472038269, -0.029790209606289864, -0.19708485901355743, 0.31306806206703186, 0.9809367656707764, -1.53819739818573, 0.5039462447166443, -0.180693119764328, -0.06836510449647903, 0.2550339102745056, -0.6109945178031921, -0.9132711291313171, 2.1115353107452393, 0.788705050945282, -0.26095297932624817, 0.1254900097846985, -0.21599707007408142, -0.06080927327275276, -0.27985087037086487, 0.06534399092197418, -0.5268600583076477, 0.14408233761787415, 0.20935137569904327, -0.793274462223053, -0.46726691722869873, 0.9875108599662781, 0.15034399926662445, 0.22132526338100433, -0.2748541533946991, -0.6094001531600952, 0.15810813009738922, 0.5857604146003723, -0.9203982949256897, 0.46715375781059265, -0.0808873102068901, -0.296927809715271, -0.07439568638801575, 0.10254418849945068, -0.3076581060886383, -0.20786817371845245, 0.12754885852336884, 0.41485369205474854, 1.1745084524154663, 0.8201066851615906, -0.5962668061256409, -0.6129893064498901, -0.8717357516288757, -0.6860102415084839, -1.1600315570831299, -0.30269956588745117, -0.8335816264152527, 0.8240708708763123, 0.8455868363380432, -1.0012567043304443, 1.2732598781585693, 0.04555525258183479, -1.1784496307373047, -0.3293794095516205, -0.8728916049003601, -0.5345075726509094, 0.8594842553138733, 0.16573861241340637, 0.8933062553405762, 1.2081111669540405, -0.584822416305542, 0.3794128894805908, -0.2345721572637558, -1.2117115259170532, 0.05040523782372475, 1.5507299900054932, 0.7491797208786011, 0.6676664352416992, 0.0621708445250988, 0.7438349723815918, -0.11519001424312592, -0.4960040748119354, 0.715401828289032, -0.47159543633461, -0.49568095803260803, 0.3266158103942871, 0.9748930335044861, 0.08148256689310074, 0.15957467257976532, -0.5294327735900879, -1.067351222038269, 0.33914995193481445, 0.8857578039169312, 0.0820801630616188, -0.6129627227783203, 1.5822081565856934, 0.3171888291835785, 0.328885942697525, -1.2787508964538574, 0.29460757970809937, -0.43940940499305725, -0.9210078716278076, 0.5647473931312561, 0.12971435487270355, 1.074818730354309, -0.4746183156967163, -0.2583666741847992, 0.2922457754611969, -0.3180890679359436, -0.4203486442565918, 0.8872838020324707, -0.5507452487945557, 0.7029816508293152, -0.09972257167100906, 0.9481155872344971, 0.08698183298110962, -0.2632173001766205, -0.18233434855937958, 0.04745429754257202, 0.5040280818939209, 1.0045007467269897, 0.5057547688484192, 0.7780150175094604, 0.4020783007144928, -0.7287884950637817, -1.2634382247924805, 0.4311791658401489, -0.3503582179546356, -0.2445424199104309, -0.40517038106918335, 0.36243072152137756, -1.4413200616836548, 0.11527038365602493, -0.678595244884491, -0.3831220269203186, 1.483064889907837, -1.7002333402633667, 0.04850427806377411, 1.0383257865905762, 0.7866731286048889, -0.3257828652858734, 1.076919674873352, 0.22034546732902527, 1.1377735137939453, 0.3073282241821289, -0.8218008875846863, 0.307677298784256, 0.1893225610256195, -0.1888536512851715, -0.14503026008605957, -0.9843802452087402, 0.7934732437133789, 0.27909955382347107, -0.12116739898920059, -0.15423397719860077, 1.1753122806549072, 1.1370853185653687, 0.5148488879203796, 1.544081211090088, -0.4449746608734131, -0.3196244537830353, 1.0587406158447266, -0.2521243095397949, 0.24142079055309296, 0.011344937607645988, 0.718136191368103, -0.00829625315964222, 0.22199442982673645, 1.2661669254302979, -0.9327259659767151, 0.35730499029159546, 0.8072983622550964, -0.6060535907745361, 1.280402660369873, 0.9718706011772156, -0.4166630506515503, 0.3362177610397339, -0.16199742257595062, -0.7526081800460815, 0.4751962721347809, -0.43273797631263733, -0.047508686780929565, 0.5100187659263611, -0.05891714245080948, 0.9816796779632568, 0.28027474880218506, -1.4592260122299194, -0.11074047535657883, 0.37530088424682617, -0.8957862854003906, 0.9886831641197205, 1.0223454236984253, -0.5037454962730408, -0.4127453863620758, -0.9746741056442261, 0.32549571990966797, 0.07095635682344437, 0.8751413226127625, -0.5077247023582458, -2.1163134574890137, -0.4235421121120453, -0.892686128616333, 0.28724023699760437, 1.3795852661132812, 0.3596625328063965, -0.6860932111740112, -0.178512305021286, -1.6452258825302124, 0.04491133987903595, -0.6581580638885498, -0.385299414396286, -0.19082510471343994, -0.26389291882514954, -0.17962080240249634, -0.23129068315029144, 0.09252741187810898, -0.2860703468322754, 0.4073939621448517, -0.0036270793061703444, -0.8420136570930481, -0.16248390078544617, -0.17389333248138428, -0.6056651473045349, -0.7364558577537537, -0.49896422028541565, 0.3240613043308258, -0.930986762046814, -0.6474928259849548, 0.13062085211277008, 1.2518318891525269, -0.5618215203285217, -0.1765172928571701, -0.26777777075767517, 1.4317936897277832, 0.3294079899787903, -1.2472047805786133, 0.01650393195450306, 0.7293403744697571, 0.8982186317443848, -0.21161919832229614, 0.39826101064682007, -0.15949676930904388, 0.06695413589477539, -0.12485212087631226, -0.29160547256469727, 0.3636109530925751, -1.0705459117889404, 0.5618472099304199, -0.8311449289321899, -0.5634037256240845, -0.37638160586357117, -1.8028825521469116, 0.21471282839775085, -0.2312728613615036, 0.38919758796691895, -0.17758582532405853, 1.3369454145431519, 0.08521123975515366, -1.0912879705429077, -0.3024430274963379, -0.25915998220443726, -0.8417629599571228, 0.34942129254341125, -0.4991227984428406, 1.7390040159225464, 0.8882094025611877, 1.3048548698425293, 0.5669558644294739, 1.0667839050292969, -0.10053104162216187, 0.551237165927887, -0.018812622874975204, 0.8515704274177551, -0.26979196071624756, -1.2287410497665405, 1.3618407249450684, 0.09899070113897324, 0.5537593960762024, 0.39430832862854004, 0.47401419281959534, 0.052070241421461105, -0.038430701941251755, -0.2783470153808594, 0.16647066175937653, -0.31794971227645874, 0.5554521083831787, 0.6580893993377686, -0.7420654296875, -0.06782720237970352, 0.7821530103683472, -0.9083021879196167, 0.3117719888687134, -0.11977190524339676, -0.9803813695907593, 0.8619819283485413, 0.09905460476875305, 0.3701830208301544, 0.6064652800559998, -0.37548568844795227, -0.13598275184631348, -0.8167911767959595, -0.5884058475494385, -0.7979006767272949, -0.1116594448685646, -1.4365164041519165, 0.044371288269758224, -1.1213414669036865, -0.5979863405227661, -0.6714326739311218, -0.8557342886924744, 0.15711773931980133, 1.2548450231552124, -0.6754342913627625, 0.25353938341140747, -0.9772998690605164, 0.36201587319374084, 0.2878350615501404, -1.3709018230438232, -1.3595670461654663, 0.6509587168693542, 1.8449625968933105, -0.7622674703598022, 0.9593144059181213, 1.2580868005752563, 0.13790109753608704, -0.17881859838962555, -0.20119650661945343, -0.17411509156227112, -0.888473391532898, 0.5257946848869324, -0.13896818459033966, 0.17613370716571808, -0.8390825390815735, -1.1886875629425049, 1.1819928884506226, 0.5966199040412903, 0.6419987678527832, -0.011610283516347408, 0.5105313658714294, 0.908689558506012, 1.3206846714019775, -0.3366376459598541, 0.024820733815431595, -1.0772546529769897, 1.6988065242767334, 0.15828506648540497, -0.3378356695175171, 0.6466007828712463, -0.20802026987075806, -0.16771593689918518, -0.27931520342826843, 0.07794759422540665, -0.018447771668434143, -0.4307287633419037, 1.5787148475646973, 0.32748472690582275, -0.47791042923927307, -0.8202577233314514, 0.044916845858097076, 0.036373306065797806, -0.5699577927589417, -0.555820643901825, -1.4257283210754395, 0.7471849918365479, 0.6140798926353455, 0.2989957928657532, 0.027069874107837677, 0.5777674317359924, -0.1499006301164627, 1.3766248226165771, -0.32333821058273315, -0.39587026834487915, 0.43497535586357117, -0.26243820786476135, -0.13388971984386444, -0.5708158016204834, -0.27573162317276, -0.43518856167793274, 1.3196513652801514, -1.0789361000061035, -0.6973365545272827, 0.3120446503162384, -0.9820764064788818, -0.5723993182182312, -0.04712524637579918, -0.1734193116426468, -1.2622534036636353, 0.17875564098358154, -0.013480901718139648, -0.014116157777607441, 0.5606935620307922, 0.12547065317630768, -0.9126675128936768, -1.0525223016738892, -0.6758052706718445, -2.02366304397583, 0.11415909230709076, -1.180124044418335, 0.6239873766899109, 0.8441488742828369, -0.2200024276971817, -1.71019446849823, 0.10952889919281006, 0.3516002893447876, 0.1300453543663025, 0.8550387024879456, 0.46346315741539, -0.06804029643535614, -0.27132269740104675, -0.5068326592445374, 0.7091516256332397, -0.9636048674583435, -0.028190428391098976, 0.4377833604812622, 0.4488263428211212, 1.6408796310424805, -0.12772305309772491, -0.5680738091468811, 0.4468660354614258, 0.23671071231365204, -0.39027270674705505, 0.1210794746875763, -0.1883535385131836, 0.9569491147994995, -0.3989184498786926, -0.2601759433746338, 0.5952783226966858, -0.9015718698501587, -0.6804808378219604, -0.042927443981170654, -0.827146053314209, -0.5624123811721802, 0.03289278969168663, 0.4388684332370758, 0.4580605924129486, -1.3587406873703003, 0.42070287466049194, -0.48985278606414795, -0.08443482965230942, 1.0244046449661255, -0.1649685502052307, -0.2798977494239807, -0.8160561323165894, -0.768388032913208, -0.11670064181089401, -1.8653085231781006, -0.7024517059326172, -0.8429432511329651, 0.3786408007144928, 0.481330931186676, -0.9564992785453796, -0.47156065702438354, -0.3162759840488434, -0.6792804002761841, -0.4078149199485779, -0.4596944749355316, -0.9130885601043701, 0.6605974435806274, 0.38850945234298706, 0.698415994644165, 1.2597767114639282, 0.7181325554847717, 0.30980992317199707, 1.17676842212677, -1.600853443145752, 0.7613353729248047, -0.366136372089386, 0.05603677034378052, -0.8112670183181763, -0.29187852144241333, -0.29850053787231445, 0.6950428485870361, -0.7273887991905212, 0.05435850843787193, -0.009563831612467766, 0.39858755469322205, 0.2945501506328583, 0.8418022990226746, -0.5220056176185608, -0.46895453333854675, -0.47476598620414734, -0.025360586121678352, 0.3028471767902374, -1.2286045551300049, -0.3239494562149048, 0.2985411286354065, -2.2625339031219482, 0.3165021240711212, 0.03032848984003067, -0.3511545956134796, 0.1763264387845993, 0.7316285967826843, -0.2780541181564331, 0.6391501426696777, 1.0053690671920776, 0.9138000011444092, -0.4276683032512665, 0.47821715474128723, -0.15050779283046722, -2.9198977947235107, 0.8446409702301025, 1.1590042114257812, -0.2540828585624695, -0.5296804904937744, 0.7252083420753479, -0.8389186859130859, -0.9842308163642883, 0.453652024269104, -0.7259756922721863, 0.9070633053779602, 0.7736368179321289, 0.4711545407772064, -0.40305814146995544, 0.5904659032821655, 0.8545805811882019, 0.3542387783527374, 1.5211330652236938, -0.6120719313621521, 0.7596222758293152, -0.06667996197938919, -1.4418760538101196, -0.7881609201431274, -0.8211936354637146, -0.4345402717590332, -0.29701733589172363, -0.5324192643165588, -0.13841979205608368, -0.29639536142349243, -0.5128175020217896, -1.0447136163711548, 1.7222332954406738, -0.012888961471617222, 0.4798053503036499, -0.695162296295166, -1.6295040845870972, -0.37383192777633667, -0.4989376664161682, -0.1508098840713501, -7.633916854858398, -0.5437403917312622, -0.18746419250965118, -0.5304798483848572, -0.12370900809764862, -0.8057827353477478, 0.5675706267356873, -0.6536538004875183, 0.22237348556518555, 1.5194720029830933, -0.18117177486419678, 0.0760653167963028, 0.6250711679458618, -0.35136154294013977, -0.11732666194438934, 0.46350014209747314, 1.3556145429611206, 0.6260778307914734, 0.8923224806785583, -1.2770555019378662, -0.7360541224479675, -1.0513986349105835, -0.6486711502075195, 0.415307879447937, 1.105796456336975, 0.9882996082305908, 0.009736198000609875, -0.04694313555955887, -0.27314406633377075, -0.9986843466758728, -0.6926587224006653, 0.2419503927230835, 0.248050257563591, 0.21554389595985413, 1.4205750226974487, -2.096465587615967, 0.9585816860198975, 1.6030253171920776, 0.30258113145828247, -0.606435239315033, -0.2098294198513031, 1.5588688850402832, -0.48990848660469055, -2.104459285736084, -0.9768300652503967, 0.17408812046051025, -0.8660776615142822, -0.22198253870010376, 0.5121557712554932, 0.9239124059677124, -0.6684560775756836, -0.15148556232452393, 0.059050317853689194, 0.33175164461135864, -1.1397467851638794, 0.2358366996049881, -0.8385929465293884, 0.06164451688528061, -0.6282435059547424, -0.4218509793281555, 0.46287912130355835, 0.10405690222978592, -0.702362596988678, -0.008276201784610748, -1.3547747135162354, -0.29981565475463867, -0.6268221735954285, -0.1555589884519577, 0.46205970644950867, 0.4182591736316681, -0.27934202551841736, -0.31557098031044006, -0.28139811754226685, -0.4624897837638855, 0.5565038919448853, -0.06883129477500916, -0.3358289301395416, -0.202768012881279, -0.6951887607574463, 0.988242506980896, 0.30052393674850464, 0.7411933541297913, 0.16825082898139954, 1.7368254661560059, 0.5149262547492981, -0.6803150177001953, 0.46148043870925903, -0.5411148071289062, -0.2748643755912781, -0.5381101965904236, -0.29224005341529846, 0.061169810593128204, -0.35810649394989014, 0.13173307478427887, 0.8445150256156921, -0.292672336101532, -0.22259508073329926, -2.581153392791748, -0.25653162598609924, 0.04684412106871605, -0.6296858787536621, 0.23694738745689392, 0.5285102725028992, 0.9383959770202637, -1.7589521408081055, 0.40362557768821716, -1.3875635862350464, -0.23235733807086945, 0.3256700932979584, 0.8600246906280518, 0.4617503881454468, 0.8367867469787598, -0.019660459831357002, -0.40894290804862976, 0.5306749939918518, 1.4216935634613037, -0.4732487201690674, -0.6391133666038513, -0.09467828273773193, 0.3020992875099182, -0.375760555267334, 0.8967857360839844, -1.7376854419708252, -1.6527045965194702, -0.558142364025116, 0.5464803576469421, 0.07488907873630524, -1.4647266864776611, -0.49601757526397705, 0.10375669598579407, -0.12959088385105133, -0.2853466272354126, -0.3033429980278015, -1.0205744504928589, 0.6788510680198669, -0.5586525201797485, 0.04569012671709061, 0.11352130770683289, -0.08426542580127716, 0.3106614053249359, 0.5211553573608398, -0.8828873038291931, 0.6210142374038696, -0.2447195202112198, -0.09856566041707993, -0.6857309937477112, -1.181469440460205, -0.5655074119567871, -0.5268421173095703, -0.39274725317955017, -0.6453354358673096, -0.492353618144989, -0.45057258009910583, 1.9781628847122192, -0.5235615968704224, -0.3787006437778473, -0.2578738033771515, -0.2978958189487457, -1.1409504413604736, 0.3980731964111328, 0.12360755354166031, -0.14566048979759216, -0.6154930591583252, 0.457642138004303, -0.17014065384864807, -0.7182691097259521, -0.3569243550300598, -1.4135665893554688, -0.07441167533397675, -0.07006043940782547, -0.028572026640176773, 0.7509734034538269, -0.9389025568962097, 0.460431843996048, 0.017696954309940338, 0.32602083683013916, 0.07711402326822281, 0.8774269819259644, 0.12981656193733215, -0.8384530544281006, -1.4608306884765625, 1.374308705329895, 0.07852953672409058, 0.32537588477134705, -0.22279861569404602, 0.5423979759216309, -0.7477757334709167, -0.7410847544670105, 0.8396105170249939, 0.10539428144693375, 0.08710440248250961, -0.1675485372543335, -0.8108701705932617, -1.797486424446106, -0.7530528903007507, 0.5744280815124512, -0.18852514028549194, 0.9347092509269714, 0.22264038026332855, -0.5795801877975464, -0.3473883867263794, 1.3112703561782837, 1.1954991817474365, -0.021861881017684937, 0.410836398601532, 0.9303661584854126, -0.8481705188751221, -0.31256863474845886, 0.09062456339597702, -0.07837822288274765, 0.8441995978355408, -0.25238385796546936 ]
160
0704.0162
Igor Grabec
I. Grabec
Estimation of experimental data redundancy and related statistics
7 pages, 5 eps figures, uses svjour.cls
null
null
null
physics.data-an physics.comp-ph
null
Redundancy of experimental data is the basic statistic from which the complexity of a natural phenomenon and the proper number of experiments needed for its exploration can be estimated. The redundancy is expressed by the entropy of information pertaining to the probability density function of experimental variables. Since the calculation of entropy is inconvenient due to integration over a range of variables, an approximate expression for redundancy is derived that includes only a sum over the set of experimental data about these variables. The approximation makes feasible an efficient estimation of the redundancy of data along with the related experimental information and information cost function. From the experimental information the complexity of the phenomenon can be simply estimated, while the proper number of experiments needed for its exploration can be determined from the minimum of the cost function. The performance of the approximate estimation of these statistics is demonstrated on two-dimensional normally distributed random data.
[ { "created": "Mon, 2 Apr 2007 10:54:21 GMT", "version": "v1" } ]
2007-10-10
[ [ "Grabec", "I.", "" ] ]
07
[ 0.007986809127032757, 0.16183264553546906, -0.44770973920822144, -0.05507173761725426, -0.4580594301223755, -0.8471608757972717, -0.08492796868085861, 0.2871949374675751, -0.7742429971694946, -0.36556848883628845, 0.5847458243370056, 0.41486701369285583, 0.7157400250434875, -0.4625706374645233, -0.8382817506790161, -0.631490170955658, -0.39357197284698486, -0.7638736963272095, -0.2827540636062622, -0.5829502940177917, -0.14461573958396912, -1.1765440702438354, 0.039216313511133194, 0.794192373752594, 0.22005650401115417, -0.8697677254676819, 0.41892486810684204, 0.28837618231773376, -0.03711848333477974, 0.19688092172145844, 1.030792474746704, 0.05073189362883568, 0.9558330774307251, 1.175595760345459, 0.944006621837616, 0.5955033302307129, -0.2418060600757599, 0.4263094663619995, -0.5899554491043091, -1.0535674095153809, -0.5689957141876221, 0.4031037986278534, -0.5684487223625183, 0.08717985451221466, -0.3802022933959961, 0.3501907289028168, 0.553158700466156, -0.10676677525043488, -0.45154595375061035, 0.08199554681777954, -0.2022542655467987, -0.27131810784339905, -0.1484389305114746, 0.7977067828178406, -0.03329945355653763, -0.5266516208648682, -1.0295804738998413, -0.8484642505645752, 0.7511553764343262, -0.11256111413240433, -0.5242295265197754, -0.718009889125824, 0.9117504358291626, 0.6321583986282349, -0.63162761926651, -0.47470372915267944, 1.1747915744781494, 0.5092968940734863, 0.5198936462402344, -0.6844920516014099, 0.11717317998409271, -0.4781309962272644, 0.9394023418426514, -0.3081781566143036, 0.5970531702041626, 0.19252008199691772, -0.4135366380214691, 1.022308588027954, 1.2772728204727173, 0.1952754408121109, 0.6687504053115845, 0.04119376838207245, 0.205267071723938, -0.39966171979904175, -0.47759127616882324, 0.4580608308315277, -0.3571453392505646, -1.365977168083191, -1.4423314332962036, -0.06701768934726715, 0.0007896086317487061, 0.5153406858444214, -0.4393027126789093, 0.13127559423446655, -0.22697071731090546, -0.4328077435493469, -0.5266328454017639, 1.2192803621292114, 1.0450209379196167, -1.0948529243469238, -0.6851991415023804, 0.43279486894607544, 0.026573769748210907, 0.33373579382896423, 0.9089884757995605, -0.24962835013866425, 0.1812315136194229, -0.5554477572441101, -0.5330493450164795, -0.7570511102676392, 0.11169546097517014, 0.0812450423836708, -0.2890271544456482, 1.3571914434432983, -1.1475894451141357, -0.6488096714019775, -0.26166781783103943, -0.5549584627151489, 0.34531542658805847, -0.10289808362722397, 0.21445731818675995, -0.10981098562479019, -0.5893955826759338, -0.38682058453559875, 0.9254474639892578, 0.22492532432079315, 0.882988691329956, -0.8753645420074463, 0.040975406765937805, -0.7645857930183411, -0.6444962024688721, -0.3260524868965149, -0.08840373903512955, -0.6232170462608337, 0.16196730732917786, -0.2881094217300415, -1.4852242469787598, 0.1843569427728653, -0.07217080891132355, -0.15257403254508972, 0.9488378167152405, -0.14958347380161285, 0.9568989872932434, -1.2503248453140259, -0.424442857503891, 0.49737054109573364, 0.18925140798091888, -0.14526386559009552, -0.10932041704654694, -0.23495842516422272, -0.8845072388648987, -0.010055520571768284, -0.4024578928947449, -0.3178652226924896, 0.07648424804210663, 0.22353126108646393, 0.9453308582305908, -0.06883884966373444, 0.5012553334236145, -0.2769167721271515, 1.0546995401382446, -1.3411335945129395, 0.1565617024898529, -0.0645841732621193, -0.6810181140899658, -0.9946234822273254, -0.06606828421354294, -0.16748754680156708, 0.1444508135318756, 0.006701227743178606, -2.7449886798858643, 0.19312866032123566, 0.18217086791992188, 1.4646103382110596, -0.9349257946014404, -0.4238048493862152, 0.679040253162384, 0.42951253056526184, 0.38988858461380005, 0.3528689444065094, 0.7885794043540955, 0.017678532749414444, -1.3711689710617065, -0.41899362206459045, 0.010387178510427475, 0.3017614483833313, -1.342440128326416, 0.3981018662452698, 0.9852989912033081, 0.3609146475791931, -0.42442411184310913, -0.02765718288719654, -0.2285698801279068, 1.359618067741394, -1.340855598449707, 1.2633947134017944, -0.4117050766944885, 0.4692034423351288, -0.1755903959274292, 0.6825307607650757, 0.64199298620224, -0.5556567907333374, -0.17019860446453094, -1.145455002784729, -1.602513074874878, 0.044702183455228806, 0.21503788232803345, 0.522297203540802, 0.13588730990886688, -0.9170549511909485, -0.2607992887496948, -0.265377938747406, -0.25499898195266724, 0.5237192511558533, 0.8161555528640747, -0.6310478448867798, 0.4286903738975525, -0.5928263664245605, 0.9327816963195801, -0.1467868536710739, -0.2924712598323822, 0.5135906338691711, 0.10309022665023804, -0.5598411560058594, -0.5374408960342407, -0.104115329682827, -0.4161132276058197, -0.797895073890686, -0.5940384268760681, -1.422563076019287, 0.8158078193664551, -0.9506393671035767, -0.5925206542015076, 0.11375068128108978, 0.9929792284965515, 1.2388066053390503, -0.2606259286403656, -1.3642812967300415, 0.7150089740753174, 0.7274120450019836, -1.0494352579116821, 0.8385747075080872, 0.04223160445690155, 1.2853559255599976, -0.3290097713470459, 0.26156291365623474, -0.3566548824310303, 1.1360996961593628, -0.08287856727838516, 0.17721311748027802, -0.8447085618972778, -0.09576205164194107, -0.9282423853874207, -0.18549570441246033, -0.9130495190620422, 0.09581103175878525, 0.6321136951446533, -0.6261979937553406, 0.7807261943817139, -0.012054233811795712, -0.10465294867753983, -0.9440304636955261, 1.1867672204971313, -0.04073705896735191, -1.431757926940918, -1.0614972114562988, -0.5009755492210388, -0.8314169645309448, -0.26465487480163574, -0.9009058475494385, -0.9554268717765808, -0.6783744096755981, 0.7852786779403687, -0.776807427406311, -0.5822811126708984, -1.0203691720962524, -0.33011704683303833, 0.06276199966669083, 0.12967939674854279, -0.04890439659357071, -0.7597724199295044, 1.003806471824646, -1.0020657777786255, -0.26195329427719116, 1.3497835397720337, -1.8555902242660522, 1.8464040756225586, -0.6997275948524475, 0.3919694125652313, -0.9244327545166016, -0.5677266716957092, 0.07167556881904602, -0.5026491284370422, 1.5085201263427734, -0.545150101184845, -0.703607976436615, 0.6792438626289368, 0.02927395887672901, -0.3957373797893524, -0.3218044638633728, 0.25750601291656494, 0.8390010595321655, -0.3531906306743622, 0.5979741811752319, 1.4332000017166138, -0.9384778141975403, -0.7412675619125366, -0.0323452465236187, -1.1081026792526245, 0.05515023320913315, -0.5145408511161804, -0.35628989338874817, -0.6107276082038879, -0.551994264125824, -0.10874532908201218, 0.5143099427223206, 1.047428846359253, -0.6167376041412354, 0.11146185547113419, -0.014311565086245537, 0.16714055836200714, -0.8070176243782043, 0.44203710556030273, 1.0662516355514526, 0.081178680062294, -0.8994479179382324, -0.42917248606681824, -0.5441380143165588, 1.2429633140563965, -0.22755028307437897, -0.153682142496109, 0.2438383400440216, -0.8284018635749817, 0.9822620749473572, -0.5201303958892822, 0.9142175912857056, -1.1687095165252686, -1.023966670036316, 0.0905395895242691, -0.7812168598175049, -0.761248767375946, 0.09467726945877075, 1.0229933261871338, -0.26590773463249207, 0.17354249954223633, 0.14692242443561554, 0.016039639711380005, -0.16757790744304657, -0.07901640981435776, -0.10086774826049805, 0.8064157366752625, 0.6103540658950806, -0.6199212670326233, 0.05913632735610008, -0.427018940448761, -0.5831888914108276, 0.6314548254013062, 0.29492488503456116, 0.9711893200874329, -1.4154051542282104, -0.47039633989334106, -0.2603718638420105, -0.07828134298324585, -0.1845388561487198, 1.1093428134918213, -0.7544359564781189, -0.4463142454624176, 0.45540499687194824, 0.5328782200813293, 0.41935744881629944, 0.7676606178283691, -0.4101727306842804, 0.006421856116503477, 0.5145390629768372, -0.9420666694641113, 0.4007703959941864, 0.9258086085319519, 0.08834481239318848, 0.8767921924591064, -0.18913669884204865, 0.10197429358959198, 1.6859092712402344, -1.1275521516799927, 1.227805495262146, -0.8134145140647888, 0.37041157484054565, 0.5412470102310181, -0.15551206469535828, -1.315463662147522, -0.4369654655456543, 0.8030328154563904, -0.34727543592453003, -0.26950234174728394, 0.48462557792663574, -0.3243085443973541, -0.649250328540802, -0.29811495542526245, -0.6838293671607971, 0.08659043908119202, -0.5346587300300598, -1.4045685529708862, -1.2057843208312988, 0.1242121011018753, -0.4292875826358795, -0.36069774627685547, -0.38437461853027344, 0.6947241425514221, -0.8365433812141418, -0.6565850377082825, -0.957137942314148, 0.3071625828742981, -0.6750006079673767, 0.6420610547065735, -0.37738460302352905, 0.35634952783584595, -1.1341731548309326, -1.0604841709136963, -0.3390311300754547, -0.6586716771125793, -1.9688690900802612, 0.1363152116537094, 0.27808240056037903, 0.44591328501701355, 1.1100972890853882, -0.41998088359832764, -0.038288868963718414, -0.2474387288093567, 0.5444923639297485, 0.8010627627372742, -0.11592236906290054, -0.5682135224342346, -0.813325047492981, -0.11540605872869492, -0.47062209248542786, 0.21703405678272247, 0.02485259622335434, -0.6547166109085083, 0.04406043514609337, 0.02787127159535885, -0.07423059642314911, 0.9477570056915283, 0.20545576512813568, -0.25037819147109985, -0.17474748194217682, -0.15021276473999023, -0.7792840600013733, -0.9809725284576416, -0.0765281692147255, 0.6961590051651001, 0.018245387822389603, -0.3142840266227722, -0.04560853913426399, -0.6962026357650757, 0.2480577528476715, 0.12549853324890137, -0.8255386352539062, -0.22612322866916656, 0.26551932096481323, -0.8699843287467957, -0.4173491597175598, -0.8049229383468628, -0.2161104828119278, 0.29856470227241516, 0.312828928232193, 0.6977599859237671, -0.9084490537643433, -0.1732177585363388, -0.24850566685199738, -2.0557539463043213, 0.43090584874153137, 0.5890093445777893, -0.062257762998342514, 0.11937438696622849, 0.7713925838470459, -0.28087860345840454, 1.115850806236267, 0.9746108055114746, 0.48143845796585083, 1.303641438484192, -0.37527188658714294, 0.27360275387763977, 0.5235044956207275, 0.40225842595100403, 0.45152372121810913, -0.6758025288581848, -0.25390058755874634, 0.17117659747600555, -1.0791791677474976, 0.0038602687418460846, -0.1953759342432022, -0.49549320340156555, -0.4372163712978363, 0.620303750038147, -0.754447877407074, -1.1931140422821045, 0.848360538482666, -1.0916361808776855, 0.17749232053756714, 0.8670607209205627, -0.28499165177345276, -0.22016578912734985, -0.7982094883918762, -1.1624220609664917, 0.684180736541748, 0.15095384418964386, -0.12748685479164124, 0.9769919514656067, -1.570984959602356, -0.04374067485332489, 0.3630079925060272, -0.10806109756231308, -1.6249957084655762, -0.8741154670715332, 0.5314638614654541, 0.5317632555961609, 0.4451180398464203, 0.15132445096969604, -2.914496660232544, -0.3323204219341278, -0.5196244716644287, -0.7885012626647949, 0.1831577867269516, -0.6606242060661316, -1.022057294845581, 0.21376998722553253, 0.07965446263551712, 0.732136607170105, 0.03949875757098198, 1.392006754875183, 1.0157276391983032, -0.8961108922958374, -0.6973352432250977, -0.9919121265411377, -0.21477380394935608, -1.0076292753219604, -1.0295401811599731, 0.06565850228071213, 0.5058528780937195, -1.0197783708572388, -0.29321300983428955, -0.6875035166740417, 1.187569499015808, -0.6698824763298035, -0.1782984435558319, 0.2602408528327942, 0.2081928253173828, 0.26443880796432495, -0.2959352731704712, -0.04556743800640106, 0.7301743030548096, -0.7343370318412781, -0.12309097498655319, 0.5106454491615295, 0.5172333121299744, 1.269071340560913, 0.26454752683639526, -9.148553848266602, 0.7808846235275269, -0.8894678354263306, -1.1373956203460693, 0.31145334243774414, -0.2116398960351944, -0.03293044492602348, -0.1436477154493332, 1.0759916305541992, -0.8031811118125916, -0.19757729768753052, 0.44818538427352905, -0.6607406735420227, 0.5311214923858643, 0.5751022696495056, -0.3878895938396454, 0.5081645250320435, 1.303234338760376, -1.68622887134552, 0.009361840784549713, 0.6854045391082764, -0.5383198261260986, 0.668627142906189, 0.2731892764568329, 0.8129664659500122, 0.2946105897426605, -0.19455313682556152, -0.11592565476894379, -0.5926709175109863, -0.09316803514957428, -0.2457830309867859, -0.2594693601131439, 0.4736460745334625, -0.2635416090488434, 0.21983973681926727, -0.12801536917686462, 0.5286520719528198, 1.3595737218856812, -0.018960142508149147, -0.9447281360626221, 0.6557630300521851, -0.0961696207523346, 1.203102946281433, 0.5048792362213135, -1.3157238960266113, 0.601919412612915, -0.6632145643234253, 0.08552651852369308, -0.9734145402908325, -0.017440102994441986, 0.8562512993812561, 0.2230408787727356, 0.46393275260925293, 1.6921740770339966, -0.9197303056716919, -0.8839755654335022, -0.5570328831672668, -0.37189343571662903, 1.182897686958313, -0.10570530593395233, 0.12379144132137299, -0.2965092658996582, -0.21840016543865204, 0.7026486396789551, 0.26246190071105957, -0.1512528657913208, -0.15573573112487793, 0.18044231832027435, 1.0512211322784424, 0.24308112263679504, 0.041063059121370316, 0.5388488173484802, 0.9978495836257935, -0.06155470013618469, 0.7756711840629578, -0.38875508308410645, -1.4657697677612305, -0.34516599774360657, -0.8015022873878479, 0.6457143425941467, 0.45593392848968506, 1.8023264408111572, 0.23586848378181458, 0.10242900997400284, -0.3241824507713318, -0.5983057022094727, -0.3944161534309387, -1.3519395589828491, 0.3010616898536682, -0.25328880548477173, 0.3223934769630432, -0.31752490997314453, -0.6424247622489929, 0.7089757919311523, 0.2741612195968628, -0.3487355709075928, -0.20673884451389313, 0.12460976094007492, -0.7184877991676331, 0.17835310101509094, 1.1337072849273682, 0.601152241230011, 0.590831458568573, -0.6382735371589661, 0.877108633518219, 0.6482750177383423, 0.09262102842330933, -0.15033704042434692, 0.012839564122259617, 0.40219977498054504, 1.0911433696746826, 1.2124440670013428, -1.2710442543029785, 0.1566009223461151, -0.8694893717765808, -0.8152644038200378, -0.167206272482872, 1.0164923667907715, -1.0562571287155151, 0.08310667425394058, 0.007682724390178919, -0.31546464562416077, -0.9825598001480103, 0.019248798489570618, -0.06353680044412613, -0.01828365959227085, -0.20747387409210205, -0.1897973120212555, 0.8689010143280029, 0.13472013175487518, -0.540618896484375, 0.9250445365905762, -0.8590182065963745, -0.32081568241119385, -0.6424289345741272, -0.1490376889705658, -0.7082831263542175, 1.0845104455947876, -0.4005032479763031, 1.0959769487380981, 1.6931233406066895, -0.1984356939792633, 0.23554641008377075, -0.2561456561088562, 0.04737238213419914, -0.1732180416584015, 0.47725963592529297, 0.8050033450126648, -0.4355447590351105, -0.9030660390853882, -0.4108976125717163, -0.8895411491394043, 0.49853795766830444, -0.4363897442817688, -0.4132426083087921, 0.9691665172576904, -0.4295898675918579, 1.281032681465149, -0.2558860778808594, -0.02395620010793209, -0.23729313910007477, -0.33446311950683594, 1.0258150100708008, -0.23837235569953918, 0.2586486339569092, 0.4822096824645996, -0.4086351990699768, -1.3251910209655762, 0.8857609033584595, -0.3598919212818146, 0.764067530632019, -0.4283747375011444, -0.1479182243347168, 0.44371962547302246, -0.023320358246564865, -0.4515208899974823, 0.9789793491363525, 1.0832985639572144, 0.2101246416568756, -0.5509624481201172, 0.5974777936935425, 1.4368301630020142, -0.042471274733543396, 0.3637407124042511, -0.20539233088493347, -0.0015654409071430564, 0.9067844748497009, 0.6626829504966736, 0.48220008611679077, -0.30009129643440247, 0.9173004627227783, -0.471172958612442, 0.14940835535526276, 0.7398688793182373, -0.6494159698486328, -0.4534822106361389, -0.41239604353904724, -0.4337877035140991, 1.1703119277954102, 0.7343302965164185, 1.3004271984100342, 0.9115375280380249, 0.7825378775596619, 0.848422646522522, -0.3132799565792084, 0.794836163520813, -0.5727266669273376, 0.48277831077575684, 0.3305779993534088, 0.20193858444690704, 1.1145447492599487, 1.2426817417144775 ]
161
0704.0163
Peter Brommer
Peter Brommer and Franz G\"ahler (Institut f\"ur Theoretische und Angewandte Physik, Universit\"at Stuttgart)
Effective potentials for quasicrystals from ab-initio data
7 pages, 1 figure, Proceedings of International Conference on Quasicrystals 9
Philosophical Magazine 86 (2006), 753
10.1080/14786430500333349
null
cond-mat.mtrl-sci
null
Classical effective potentials are indispensable for any large-scale atomistic simulations, and the relevance of simulation results crucially depends on the quality of the potentials used. For complex alloys like quasicrystals, however, realistic effective potentials are practically inexistent. We report here on our efforts to develop effective potentials especially for quasicrystalline alloy systems. We use the so-called force matching method, in which the potential parameters are adapted so as to optimally reproduce the forces and energies in a set of suitably chosen reference configurations. These reference data are calculated with ab-initio methods. As a first application, EAM potentials for decagonal Al-Ni-Co, icosahedral Ca-Cd, and both icosahedral and decagonal Mg-Zn quasicrystals have been constructed. The influence of the potential range and degree of specialisation on the accuracy and other properties is discussed and compared.
[ { "created": "Mon, 2 Apr 2007 13:36:21 GMT", "version": "v1" } ]
2009-07-07
[ [ "Brommer", "Peter", "", "Institut für Theoretische und\n Angewandte Physik, Universität Stuttgart" ], [ "Gähler", "Franz", "", "Institut für Theoretische und\n Angewandte Physik, Universität Stuttgart" ] ]
07
[ 0.2484707236289978, 0.06985751539468765, -1.6979529857635498, 1.0972319841384888, -0.8824496269226074, 1.4485106468200684, 0.4049833118915558, 1.8614288568496704, 0.19107992947101593, -0.591568112373352, -0.3270038366317749, 0.15839186310768127, 1.0747014284133911, 0.5348601937294006, -0.021724892780184746, -0.5576818585395813, 0.9063721299171448, 0.6341730356216431, 0.8923658728599548, 0.010594675317406654, 0.23348447680473328, 0.23759740591049194, 0.042727675288915634, -0.45942962169647217, -0.16991665959358215, 0.17996175587177277, -0.126275897026062, 1.196759581565857, -0.726586639881134, 0.10771983861923218, 1.2964527606964111, 0.11558900773525238, 0.32838985323905945, 0.48746830224990845, 0.2529422640800476, -0.43169599771499634, 0.39470964670181274, -1.3916658163070679, -0.8434786796569824, -0.007537086494266987, 1.2005641460418701, 0.11394684761762619, 0.14623335003852844, -1.1922821998596191, -1.1527347564697266, -0.8120635747909546, -2.1447527408599854, 0.5201476216316223, -1.0899436473846436, -0.48480281233787537, 0.5117922425270081, -0.06613246351480484, 0.5287311673164368, -0.43342986702919006, -0.34056776762008667, -0.45731934905052185, -1.0087214708328247, 0.23901180922985077, 0.33199167251586914, 0.9621714949607849, -0.3606244921684265, 1.4629738330841064, -0.35780781507492065, 0.4883095622062683, 0.2850882411003113, 0.8357112407684326, -0.6482421159744263, 0.6832104921340942, 0.26007455587387085, 0.34453096985816956, -0.3518856465816498, -1.4677008390426636, -0.6664420366287231, -0.029497668147087097, -0.041541606187820435, -0.47177669405937195, -0.49927476048469543, -0.06393668800592422, -0.024988561868667603, -0.601241409778595, -0.32265105843544006, 0.02679722011089325, -0.32620981335639954, -1.2539935111999512, -0.33217793703079224, 1.252427339553833, -0.08039267361164093, -0.3864012658596039, -0.04368923604488373, -0.368459016084671, -0.3691544532775879, -1.7913587093353271, -0.7204961776733398, 0.3245621919631958, -0.44277045130729675, 0.6168833374977112, -0.5465760231018066, 0.11199940741062164, 0.4686954617500305, 0.6909277439117432, 0.2945495545864105, 0.7405924201011658, -0.006724779959768057, -0.12659235298633575, -0.1776464879512787, 0.14520908892154694, 1.0657806396484375, -0.8129453659057617, -1.4350991249084473, 0.7332146763801575, 0.010802497155964375, -0.3786654472351074, 1.5033572912216187, 1.0209351778030396, -0.2794719934463501, 0.6559224128723145, -0.43790221214294434, 0.1617186963558197, 1.1720818281173706, 0.09757278114557266, 0.6808274388313293, -0.836298942565918, -0.059523917734622955, -0.18557588756084442, -0.0975232943892479, -0.1208934560418129, -0.5910087823867798, -0.22265614569187164, 0.6150937080383301, -0.3205449879169464, -0.29041656851768494, -0.24221312999725342, 0.7870412468910217, -0.9483886361122131, -1.23684823513031, 0.0210779570043087, 0.05232386291027069, 0.21017436683177948, -0.1368008404970169, -0.2925478518009186, -0.2840087115764618, -0.43666377663612366, -0.24403581023216248, -0.9055567383766174, -0.16738498210906982, -0.8419569134712219, -0.03354111313819885, -0.24797922372817993, -0.4571770429611206, -0.5652216076850891, -0.252079039812088, 0.2193717360496521, 0.29441237449645996, 1.0525193214416504, 1.1079610586166382, 0.5253669619560242, 0.8566414713859558, 0.34256625175476074, -0.4257082939147949, 0.4171338677406311, 1.3904894590377808, -0.6519172191619873, 0.7006272077560425, -0.8161882162094116, -0.12852871417999268, 0.4340115189552307, -0.7940011024475098, -0.21046662330627441, -0.5380712747573853, 0.5327352285385132, 0.5112523436546326, -0.4288038909435272, 0.8831114172935486, -0.4973675012588501, 0.37030062079429626, -0.06900770962238312, 0.8620649576187134, -0.037902552634477615, -0.1840623915195465, 1.2936266660690308, -0.16096240282058716, -0.34470704197883606, -0.04473329707980156, -0.7052515745162964, -0.02856244333088398, 0.022320494055747986, -0.31035712361335754, -0.4380527436733246, 0.36447229981422424, -0.5699012279510498, -0.044764548540115356, -1.4167650938034058, -1.3574751615524292, 0.7528786659240723, 0.01479282509535551, 1.0130139589309692, 0.7719653844833374, 2.0132174491882324, -0.009239604696631432, -1.3417059183120728, -0.2656969726085663, 0.6567760109901428, -0.19140368700027466, 0.7159326672554016, -1.2416448593139648, 0.5123847126960754, 0.4446263611316681, 0.06827542930841446, -0.16827534139156342, -0.8621518611907959, -0.4248450994491577, -0.19584105908870697, -0.4364781081676483, -0.022430947050452232, 1.0479609966278076, 0.45614415407180786, -0.7971082329750061, 0.1384430229663849, -0.400164932012558, -0.9505594372749329, -0.33298033475875854, 0.9270216822624207, 0.4109005331993103, 0.3476749658584595, -0.3316163420677185, -0.12857647240161896, 0.5056759119033813, 0.13844190537929535, -1.5640509128570557, 0.7469220757484436, -0.3228696584701538, 0.6473552584648132, -1.0023705959320068, -0.021683266386389732, -0.07786412537097931, -1.3517372608184814, -0.1694997251033783, 0.19627425074577332, 0.3518950939178467, -0.28588584065437317, -0.11441530287265778, -1.2249525785446167, -0.14072495698928833, -0.8823492527008057, -0.8100234270095825, 0.4934827387332916, 0.3498765528202057, 1.2559033632278442, 0.23611098527908325, 0.6225454211235046, -1.5261889696121216, 0.9761058688163757, -0.43321728706359863, -1.1623170375823975, -0.01942428946495056, 0.08718908578157425, 0.8199218511581421, 1.1050665378570557, -0.26931580901145935, -0.0059488858096301556, 0.09939034283161163, 0.1016286164522171, -0.1388849914073944, -0.42386192083358765, -0.11398191004991531, 1.2181572914123535, -0.7241315841674805, -0.09018342941999435, 0.8956074118614197, 0.1689525991678238, -0.7585381865501404, 0.21603088080883026, -0.8835956454277039, -0.0930081307888031, 0.5391135215759277, -0.7082560062408447, -0.38315460085868835, -0.3546023666858673, 0.22888940572738647, -0.12031383067369461, 1.302473545074463, 0.5402535200119019, 1.7569055557250977, 1.1896772384643555, -0.6502302289009094, 0.03050754778087139, -0.056749049574136734, 0.01738710142672062, 2.110032081604004, -0.4543583393096924, -0.6775602698326111, 0.15880754590034485, -1.0224908590316772, -0.11786892265081406, 0.25990942120552063, 0.22606992721557617, -0.09792866557836533, -0.7552807927131653, 0.282150536775589, 0.8040174841880798, 0.9881775975227356, -0.4928453266620636, -0.16475093364715576, 0.8485090136528015, 0.8002429604530334, -1.6559154987335205, -0.8060150742530823, 0.05505766347050667, -0.935500979423523, -0.2181050181388855, -0.5141620635986328, 0.7666040658950806, -1.0170804262161255, -1.6947263479232788, 2.3473103046417236, -0.12068092823028564, -0.7231850624084473, -0.4569392502307892, 0.07516017556190491, -0.21053768694400787, 1.331022024154663, 0.23327308893203735, 0.24137024581432343, 0.11057133227586746, -0.8682342767715454, -1.0953342914581299, -0.20611131191253662, -0.571069061756134, -0.27755680680274963, 2.2970266342163086, -0.19304978847503662, 0.5329107642173767, -0.7077339887619019, 1.6278913021087646, -0.5174313187599182, -0.23126520216464996, -0.2229084074497223, 0.1358262598514557, -0.20828968286514282, 0.1821775585412979, 0.971898078918457, 0.44167444109916687, 0.4534100592136383, -1.4558677673339844, -0.6024265289306641, 0.1751188188791275, -1.7336734533309937, 0.6299208998680115, -0.5933486223220825, -0.7692959308624268, -0.2520503103733063, -0.60975581407547, 0.11051970720291138, -0.3165987730026245, -0.2060507833957672, -0.08075004816055298, 0.4360637962818146, 0.325177937746048, 0.7761198878288269, 1.1633738279342651, -0.14879320561885834, -0.08143150061368942, 1.314623475074768, -0.07379038631916046, -0.12707631289958954, -0.06860505044460297, -0.7484593987464905, -0.3918663263320923, -0.64594566822052, 1.006086826324463, 0.05969182029366493, 0.0006462032906711102, 1.3274601697921753, -0.6371130347251892, -0.5836227536201477, -0.9831634163856506, -1.1120039224624634, 0.357431024312973, 0.4715785086154938, -0.6958480477333069, -0.23978270590305328, -0.5994224548339844, 0.41510817408561707, -0.5862573385238647, 0.04658973962068558, 0.4543759226799011, 1.0407609939575195, 0.20134101808071136, -1.49895441532135, -0.23806804418563843, -0.44004738330841064, -0.13284246623516083, -0.07410009950399399, -0.2820724546909332, 0.9665133357048035, -0.04739651456475258, 0.20918259024620056, -0.11079663783311844, 0.11592812091112137, 0.23880034685134888, -1.297924518585205, 0.913895308971405, 0.0716155469417572, -0.7061118483543396, 1.0047659873962402, 0.6425977349281311, -0.9041459560394287, 0.3149048984050751, -0.9105285406112671, 0.3514198660850525, -0.25087282061576843, 0.4211359918117523, 0.4720314145088196, -0.73624587059021, -0.608177661895752, -0.37118327617645264, 1.3785357475280762, 0.442728191614151, -1.026970624923706, -0.14019183814525604, -0.23418931663036346, 0.6144712567329407, -0.31511616706848145, 0.5497879981994629, 0.14985986053943634, 0.4742774963378906, -0.06924997270107269, -0.21389701962471008, 0.2765955626964569, -1.394268274307251, -0.5138252377510071, -0.27382078766822815, -1.1729670763015747, -0.6564422249794006, -0.07297851145267487, -0.4818284809589386, 0.6924331784248352, -1.260661244392395, -0.1876039206981659, -0.7520732283592224, 0.22157426178455353, 0.6619678735733032, 0.8016228675842285, -1.4368962049484253, -0.19150245189666748, -1.2162522077560425, -1.0234339237213135, -0.6882989406585693, -0.7023202180862427, 0.04265480488538742, 0.1731952428817749, 0.9932543039321899, 0.10947223007678986, -0.3113163113594055, 0.19737450778484344, -1.2033562660217285, 0.35765060782432556, 0.9106001853942871, -0.8079363703727722, 0.028300220146775246, -0.7179533243179321, -0.6537823677062988, -0.35740190744400024, -0.18894784152507782, 0.3196392357349396, 0.8074045777320862, -0.5690926313400269, 0.6660412549972534, -0.32359397411346436, -1.1283739805221558, -0.27353525161743164, -0.19251348078250885, 1.2896323204040527, -0.5523982048034668, 0.3699876368045807, 0.0589614138007164, 0.3216797709465027, 0.3397056460380554, -0.2517468333244324, -0.2294655591249466, 0.9402676820755005, 0.35497185587882996, 0.01579621620476246, 0.9766989946365356, -0.045928001403808594, 0.7199711799621582, 1.77361261844635, -0.22183893620967865, 1.2550345659255981, 0.8793565630912781, 0.6591795682907104, 0.48774150013923645, -0.3617026209831238, 1.0262724161148071, -0.5727436542510986, 0.5296914577484131, -0.4324020743370056, -0.33021625876426697, 0.1429968774318695, -1.1573598384857178, 0.5811604261398315, 0.6588744521141052, 0.040769387036561966, 0.5484156012535095, -2.165274143218994, -0.6969953775405884, 0.46932482719421387, -0.3807980418205261, 0.20751334726810455, 1.2259153127670288, 0.08713003247976303, -0.2689761817455292, 0.8975226283073425, -0.3189332187175751, -1.3545244932174683, 0.8778877258300781, -0.7730199098587036, -3.1343886852264404, -0.3201254606246948, 0.05716412886977196, -1.633534550666809, -0.9959856867790222, -0.027319859713315964, 0.1865553855895996, -0.013096969574689865, 0.9303346276283264, -0.3951072692871094, -0.553320586681366, 0.02595432847738266, 0.1174839660525322, 0.03570814058184624, 0.08342527598142624, -1.5906509160995483, -0.22752416133880615, 0.23631048202514648, 0.0938628688454628, 0.09965415298938751, -0.17167481780052185, -0.274992972612381, -0.47804346680641174, 0.3108682334423065, -0.8904775381088257, 1.112768530845642, -0.3719263970851898, 0.27928078174591064, -0.1442899852991104, 0.09506412595510483, -0.11376117914915085, 1.0869920253753662, -1.0990113019943237, -0.4944344162940979, -0.9790128469467163, 0.34195569157600403, -0.25239741802215576, 0.08186860382556915, -1.0574136972427368, -8.215080261230469, -0.3072112202644348, -0.1445387750864029, -1.8375868797302246, 0.3614109754562378, -0.5750870704650879, -0.5355879664421082, -0.5337350368499756, 0.6305568218231201, 0.6931725740432739, 0.16058550775051117, 0.2202606499195099, 0.7073282599449158, -0.5820645689964294, 0.3572442829608917, 0.8418948650360107, 0.019704464823007584, -0.5079334378242493, -1.537663221359253, -2.2880537509918213, -0.7261613011360168, 1.444703459739685, -0.4463810622692108, -0.5915960073471069, 0.5773643851280212, -0.2596878707408905, -0.42919445037841797, -1.0678250789642334, -0.47986793518066406, 0.12186557054519653, -0.45422330498695374, -0.2016633301973343, 0.974266767501831, -0.7072253823280334, 1.4741042852401733, -1.0889904499053955, -0.5193907022476196, 0.048126429319381714, 0.04279883950948715, -0.14321982860565186, 0.06436948478221893, 0.5264853835105896, 1.2173588275909424, -1.154115915298462, 0.0452490895986557, 0.3731386959552765, -0.3201277256011963, -1.2690011262893677, -0.10093861818313599, 0.23360110819339752, 0.2723487317562103, -0.2144533097743988, 0.9001839756965637, 1.399391770362854, -0.8050699830055237, 0.7475605010986328, 0.021674761548638344, -0.331963449716568, -1.064151644706726, -1.0884592533111572, -0.5148028135299683, -0.7329185605049133, -0.4276433289051056, 0.03832238167524338, 0.39458736777305603, 0.08627567440271378, 0.28036877512931824, 0.20187851786613464, 0.4097367227077484, 1.1200947761535645, -0.7985715866088867, -0.9568476676940918, 0.17579592764377594, -0.8088923096656799, -0.047051265835762024, -0.8481920957565308, 0.01328581478446722, 0.12909746170043945, -0.4492533504962921, 0.4769662618637085, 0.8798439502716064, 0.31082504987716675, 0.7190834879875183, 0.552420437335968, 0.30451902747154236, -0.04621156305074692, 0.0019760215654969215, 0.3893032371997833, 1.9336457252502441, 0.4296102523803711, 0.4657023549079895, -1.2854400873184204, -0.1808990091085434, -0.014078040607273579, 0.07489605247974396, -0.8841093182563782, 0.5007054209709167, -0.8725360631942749, 0.5707501173019409, -0.44611963629722595, 0.38824760913848877, 0.3527456223964691, 0.6140801310539246, 0.5151620507240295, -0.4240826964378357, 0.34002959728240967, -0.9175493717193604, 1.852378249168396, 0.49448734521865845, 0.44604843854904175, -0.11075350642204285, 0.7485216856002808, -0.5323396325111389, -0.6113250851631165, -0.44442179799079895, 0.36959564685821533, -0.7021130323410034, -0.4515935182571411, 1.097037434577942, 0.7609522342681885, -1.0855313539505005, 0.9570782780647278, -0.9344789981842041, -1.2208775281906128, 0.21179477870464325, -0.6471415162086487, 0.14095772802829742, -0.13395854830741882, -0.36710309982299805, -0.12886710464954376, 1.029375672340393, 0.020813342183828354, -0.7962883710861206, -1.265628457069397, -0.8045521378517151, 1.3559271097183228, -0.7814799547195435, 0.8390542268753052, 0.665849506855011, 0.8220585584640503, 1.008278489112854, 0.010034617967903614, 0.36163899302482605, -1.7169898748397827, 0.09210798889398575, -1.1228735446929932, -0.5172594785690308, -0.9525594115257263, -0.15982481837272644, -0.5272806286811829, -0.36787131428718567, -1.394623041152954, -0.115495465695858, 0.7621216773986816, -0.19314610958099365, -0.9149886965751648, 0.4544272720813751, -0.509682297706604, -0.7662851214408875, -0.24833407998085022, -0.3426673710346222, 0.35098549723625183, 0.4902993440628052, -0.4641403555870056, -1.4434194564819336, -0.22608543932437897, 0.47293058037757874, 1.2419888973236084, 0.6232022643089294, 0.24211958050727844, -0.3057700991630554, 0.29492878913879395, -0.7395756244659424, 0.2352088987827301, 0.6709963083267212, -0.7341748476028442, 0.16626803576946259, -0.7588825821876526, 0.09621469676494598, 1.1710244417190552, 0.19155746698379517, -0.38847336173057556, -0.10255453735589981, 0.15850166976451874, 1.0506926774978638, 0.6874757409095764, -0.5998877286911011, 1.0888397693634033, 0.0017936858348548412, -0.6314771175384521, 0.4618600904941559, 0.1388777643442154, -0.5308851599693298, -0.3369174003601074, -0.050358571112155914, 0.8189722895622253, 0.28452733159065247, -0.9057513475418091, 1.208815336227417, -0.8937471508979797, 0.5360618829727173, 1.287711262702942, 0.35075658559799194, 0.2613687515258789, 0.3313753306865692, -0.8570994138717651, 0.03177611157298088, -0.39633551239967346, 0.8940739035606384, -0.6100455522537231, -0.7014517188072205, 0.3459075391292572 ]
162
0704.0164
Lilia Rosati
Lilia Rosati
On smooth foliations with Morse singularities
15 pages, 14 figures
null
null
null
math.GT
null
Let $M$ be a smooth manifold and let $\F$ be a codimension one, $C^\infty$ foliation on $M$, with isolated singularities of Morse type. The study and classification of pairs $(M,\F)$ is a challenging (and difficult) problem. In this setting, a classical result due to Reeb \cite{Reeb} states that a manifold admitting a foliation with exactly two center-type singularities is a sphere. In particular this is true if the foliation is given by a function. Along these lines a result due to Eells and Kuiper \cite{Ku-Ee} classify manifolds having a real-valued function admitting exactly three non-degenerate singular points. In the present paper, we prove a generalization of the above mentioned results. To do this, we first describe the possible arrangements of pairs of singularities and the corresponding codimension one invariant sets, and then we give an elimination procedure for suitable center-saddle and some saddle-saddle configurations (of consecutive indices). In the second part, we investigate if other classical results, such as Haefliger and Novikov (Compact Leaf) theorems, proved for regular foliations, still hold true in presence of singularities. At this purpose, in the singular set, $Sing(\F)$ of the foliation $\F$, we consider {\em{weakly stable}} components, that we define as those components admitting a neighborhood where all leaves are compact. If $Sing(\F)$ admits only weakly stable components, given by smoothly embedded curves diffeomorphic to $S^1$, we are able to extend Haefliger's theorem. Finally, the existence of a closed curve, transverse to the foliation, leads us to state a Novikov-type result.
[ { "created": "Mon, 2 Apr 2007 10:58:58 GMT", "version": "v1" } ]
2007-05-23
[ [ "Rosati", "Lilia", "" ] ]
07
[ 0.5742459297180176, -0.04914764314889908, -1.3482203483581543, 1.134792685508728, 0.31610962748527527, -0.03671290725469589, -0.5480509996414185, -1.039415955543518, -2.1962063312530518, 0.04025557264685631, -0.1607174128293991, -0.2038303017616272, -0.6417465209960938, 0.38045889139175415, 0.39893651008605957, 0.21971723437309265, 0.8380404114723206, 0.7922510504722595, -1.1338543891906738, 0.8113183379173279, -0.146797314286232, 0.5680631995201111, -0.37718942761421204, -1.2554031610488892, -0.060843922197818756, -0.6118488907814026, 0.7631890177726746, -0.22057603299617767, -0.4370402991771698, 0.43591415882110596, 1.5098140239715576, 0.5837785005569458, -2.321160316467285, -0.4031885266304016, 0.1657591462135315, 0.04362533241510391, 0.35161131620407104, 0.12734508514404297, -1.180443525314331, -0.0619366317987442, 1.077394962310791, -0.12881028652191162, 0.6676562428474426, -0.05434257909655571, -1.3446539640426636, -0.6774857044219971, -0.5491380095481873, 0.2839251160621643, -0.10859329998493195, 1.234770655632019, -0.9638935923576355, 1.3841594457626343, -0.28615301847457886, -0.7161862254142761, 0.574526846408844, 1.2903220653533936, -0.37594157457351685, 0.2196877896785736, -0.2931395471096039, -1.123511552810669, 0.19513413310050964, 0.09738413989543915, 0.9440823197364807, 0.7984539270401001, 0.5250840187072754, -1.1097362041473389, -0.47754207253456116, 0.7488911747932434, -0.8701107501983643, -0.21123814582824707, -0.4613928496837616, -0.20922046899795532, -0.2783091962337494, 0.518966019153595, 0.017239060252904892, -0.2956734895706177, 1.632514238357544, 0.3973851799964905, -0.9278771877288818, -0.7430329918861389, 0.8902785778045654, 0.09435389935970306, -0.3854629397392273, 0.07925805449485779, -0.7126243710517883, -0.39557090401649475, -0.47648486495018005, 0.40241479873657227, -0.12391076236963272, 0.9063906669616699, 1.540251612663269, -0.3696070909500122, 0.011556241661310196, 1.6987358331680298, -1.0486286878585815, -1.1215975284576416, -0.4123217761516571, 0.619995653629303, -0.5207432508468628, 0.35344406962394714, 0.4295249581336975, -0.1930972784757614, 0.4244183599948883, 1.1906133890151978, -0.5774429440498352, -0.05133287236094475, 1.4055161476135254, 0.35727450251579285, 0.7093253135681152, -0.7330390810966492, -0.22874119877815247, -1.0279695987701416, 0.11403069645166397, -1.1768434047698975, -0.5692964792251587, 0.1701754778623581, -1.1776204109191895, -0.5577278137207031, 0.4467638432979584, 0.00035269084037281573, -0.5678097605705261, 1.8709744215011597, 1.7363849878311157, -0.5744262933731079, -0.41272956132888794, 0.7868154048919678, -1.1447042226791382, -0.2993767559528351, -0.8164558410644531, -1.7137688398361206, -0.7542625665664673, 0.2536005973815918, -0.30540040135383606, -1.163678765296936, 0.014322228729724884, 0.20957043766975403, -2.6667909622192383, -0.9652422666549683, -0.15002740919589996, -0.23300360143184662, 0.35395553708076477, 0.2128399908542633, 0.09985042363405228, 0.7762282490730286, 0.4135366976261139, -0.43279990553855896, 0.8558598756790161, 0.6979308128356934, -0.7495883107185364, 1.6845500469207764, 0.21021728217601776, 0.2706553339958191, 0.7780303955078125, -0.8726908564567566, 0.12397760897874832, -0.8358798027038574, -1.1788649559020996, 0.071099653840065, 0.9043698906898499, 0.357547402381897, 0.6171225309371948, -0.9334182739257812, 0.45174214243888855, -1.0373027324676514, 0.25922128558158875, -0.9738630056381226, 1.041399359703064, -1.0123026371002197, 1.506467342376709, 0.6667330265045166, -1.064009428024292, -0.1033417358994484, 0.3805084824562073, -0.32704445719718933, 1.110737681388855, -0.21890605986118317, 0.6935819387435913, -1.2817754745483398, -0.7806016206741333, 0.225698322057724, -1.1065233945846558, -0.25942572951316833, -0.10361558943986893, -0.3157057464122772, 0.3193206787109375, -0.7945433259010315, 0.7090060114860535, 0.13260526955127716, 1.5334938764572144, 0.5799128413200378, 0.23491622507572174, -1.3104510307312012, 0.032442376017570496, -0.6444467902183533, 0.1986033320426941, -0.5104027390480042, 0.004954993259161711, 0.6110195517539978, 0.5665159225463867, 0.5595633387565613, 0.9212703704833984, -0.6823126077651978, -0.9079897999763489, 1.3823645114898682, -0.7142192721366882, 0.492401659488678, 1.2580753564834595, 0.4843313694000244, -0.09193854033946991, -0.6208998560905457, 0.12106985598802567, -0.03827918320894241, -0.06407922506332397, -0.12215333431959152, 1.7908815145492554, 0.2517160177230835, 0.18223963677883148, -1.1242258548736572, -0.27454715967178345, 1.2878122329711914, 0.38422974944114685, 0.5246458649635315, -0.39660266041755676, -0.3933959901332855, 0.9398707151412964, 0.7554587721824646, 0.6660296320915222, -1.1823776960372925, -0.7691223621368408, -0.6955370306968689, 0.18205291032791138, -0.36772024631500244, 0.19953390955924988, -0.7433741092681885, 1.1555488109588623, -0.12155136466026306, -0.3130272924900055, -0.21570327877998352, 0.10673633962869644, -0.7189671993255615, -1.2312730550765991, 1.059737205505371, -0.14971177279949188, -1.2727774381637573, 0.8007706999778748, 0.06906136870384216, 1.4027084112167358, 0.20414374768733978, 0.250180184841156, 0.7276024222373962, -0.17613790929317474, -1.0394991636276245, -0.8736351728439331, -1.3301488161087036, 1.2848163843154907, -0.06237982586026192, -0.014347088523209095, -1.1165313720703125, -1.8127354383468628, -0.5656821727752686, -0.740482747554779, -0.05820969492197037, 0.004661523271352053, 0.8456284999847412, 0.9479438662528992, -1.098212480545044, 0.2130368947982788, -0.23005910217761993, -0.030968135222792625, -0.15102604031562805, 0.21513065695762634, 0.4143419861793518, 1.4894722700119019, -0.05132380500435829, -0.3821835517883301, 0.6949447393417358, -0.17352427542209625, 0.8745224475860596, -0.2849833369255066, -1.4729816913604736, 0.6818644404411316, 1.9286937713623047, -0.2285812795162201, 0.9351783990859985, 0.9577500820159912, 0.37407025694847107, -0.8937667012214661, 0.5263230800628662, 0.6207544207572937, -0.05046927183866501, 1.0053510665893555, -1.6723653078079224, 0.9105671644210815, 0.2918711304664612, -1.5327534675598145, -0.44543880224227905, -0.6901211142539978, -0.1325702965259552, 0.5043028593063354, 0.08318882435560226, 0.18345867097377777, -0.5239416360855103, -0.5388798117637634, 0.5388418436050415, 0.07186463475227356, -0.25446853041648865, -1.297178864479065, -0.24291054904460907, 0.17071986198425293, 1.277934193611145, 0.47224289178848267, -0.04313437640666962, 0.08791329711675644, -0.47395744919776917, -0.2766234874725342, -0.40291687846183777, 1.0861194133758545, 0.46269306540489197, 1.083500623703003, -1.3324419260025024, -0.14311739802360535, 0.9817957878112793, 0.8171559572219849, -0.5756674408912659, 0.48390740156173706, 0.140060156583786, 0.22497671842575073, -0.1872597485780716, -0.34336307644844055, 0.6225141286849976, 0.0917130783200264, -0.3332401514053345, 0.33106356859207153, 0.6047363877296448, -1.228405237197876, 0.2678031027317047, 0.006869630888104439, -1.1536084413528442, 1.083729863166809, -0.6980816721916199, -0.8184590935707092, 0.03283000737428665, -0.7580379247665405, -1.181005835533142, -1.2191219329833984, 0.23887775838375092, 0.00890530738979578, -0.8223937749862671, -0.41004881262779236, 1.6776992082595825, 0.49445194005966187, 0.5467106699943542, 0.19893459975719452, -1.0352057218551636, 0.1445392221212387, -0.4669623076915741, -0.1546545773744583, -0.4680540859699249, -0.9634416699409485, 0.1527264565229416, 1.3252277374267578, 0.25393107533454895, 1.0699443817138672, -0.20816947519779205, 0.40474796295166016, -0.3686150312423706, 0.5229560136795044, -0.724862277507782, 0.5109104514122009, -0.04648412764072418, 0.05970112234354019, -0.4726942181587219, -0.5349936485290527, 1.339057445526123, -1.5606448650360107, 0.6705609560012817, -1.1215391159057617, 0.22534389793872833, 0.4717981517314911, 0.28388914465904236, 1.1760176420211792, 1.313233733177185, 0.04582478106021881, 0.436307817697525, -0.17953580617904663, -0.1879931390285492, 0.47833237051963806, 0.08398356288671494, 0.6704224944114685, -0.13717462122440338, -0.32490918040275574, 0.2574786841869354, 0.9186010956764221, 0.3637651801109314, -0.5080526471138, 1.2518982887268066, 0.7334551811218262, -0.26284876465797424, -0.30982914566993713, 1.18961763381958, -1.7954446077346802, -0.27149733901023865, 0.15876643359661102, -0.5570329427719116, -0.35357072949409485, -0.4821459949016571, -1.9849112033843994, 0.4490758776664734, 0.5009530782699585, -0.48190245032310486, -0.7701919078826904, 0.4809364676475525, -0.7832487225532532, 0.04546694457530975, 0.5066328048706055, -0.6583900451660156, -0.48331418633461, -0.22826412320137024, 1.4992384910583496, -0.5906828045845032, -0.3136869966983795, 0.40755295753479004, 0.0018068450735881925, 0.6334443092346191, -0.12174596637487411, -0.17079003155231476, -0.45936119556427, 0.025771236047148705, -0.6165787577629089, 1.2590739727020264, -0.3538719415664673, -0.9364074468612671, 0.14002729952335358, -0.09870828688144684, -0.42641520500183105, 0.49317029118537903, -0.05658593028783798, 1.489180564880371, -0.4270975589752197, 0.31316879391670227, -0.20729318261146545, -0.21803134679794312, 0.08803510665893555, -1.1416023969650269, 0.42325204610824585, -0.11042168736457825, 0.26229536533355713, 0.32976585626602173, -0.7160266041755676, 0.3349573314189911, 0.6116799712181091, 0.26177942752838135, 0.6819072365760803, 0.8032943606376648, 0.5003233551979065, -0.19788704812526703, 0.8045207262039185, -1.438722848892212, -0.32472512125968933, 0.46273666620254517, -0.13450868427753448, -0.2602357566356659, 0.3001035749912262, 0.15505464375019073, 0.1069047600030899, -0.7410371899604797, 1.34688138961792, -0.48250314593315125, -0.3585881292819977, 1.192988634109497, -0.6243759393692017, -0.17851616442203522, -0.3008531630039215, -1.4042259454727173, 0.044825222343206406, -0.7560639977455139, -1.2085787057876587, 0.7543391585350037, 0.6954882144927979, -0.10504040122032166, -0.028667829930782318, -0.8895994424819946, -0.1506357043981552, 0.6450785994529724, -0.11416375637054443, 0.6367547512054443, 0.04875454679131508, -0.2597852945327759, -0.1965760886669159, 1.3094643354415894, 0.6250905394554138, -0.936362624168396, -0.7833898067474365, -1.1616501808166504, -1.2548378705978394, 1.6332377195358276, -0.6516517400741577, -0.455509752035141, -0.717529296875, 0.2501164376735687, -0.6489063501358032, 1.1018800735473633, -0.19751130044460297, -0.5443364977836609, 0.03959842026233673, -0.4365280568599701, -0.00795398373156786, 2.605499267578125, 0.3698793053627014, 0.4589118957519531, 0.18231403827667236, -0.2516789734363556, 0.3747949004173279, -0.6968634724617004, -0.30816325545310974, -0.31112098693847656, -0.3454897403717041, -2.5140793323516846, 0.396003782749176, 0.4868817925453186, 0.5677258372306824, -0.5618479251861572, -1.1492856740951538, -0.03997405618429184, 0.40608468651771545, -0.11782538145780563, -0.571800172328949, -0.5275008082389832, 0.7528415322303772, 0.9892508387565613, 0.3357507586479187, -0.026840800419449806, -2.3087966442108154, -0.20675282180309296, -0.19376717507839203, -1.9960507154464722, 0.291978657245636, 0.36227840185165405, -1.1393481492996216, -0.5721500515937805, -0.674924910068512, -0.32077234983444214, 0.6315032839775085, -0.9775771498680115, 0.43985515832901, -0.09380269050598145, -0.010405946522951126, -0.7077292799949646, 0.05183256044983864, 0.505815863609314, -0.5277085304260254, -0.3365020453929901, -0.3274668753147125, 0.08140536397695541, -0.7426562309265137, 0.15709885954856873, -5.7583699226379395, 0.15072976052761078, 0.5594688057899475, 0.28403016924858093, -0.7853249311447144, -0.3912736177444458, -0.4150448143482208, 0.9911229014396667, -0.7682075500488281, -0.17350882291793823, 0.8541252613067627, 0.4512687623500824, -0.42873871326446533, -1.0245403051376343, 0.3497769832611084, -0.8049424886703491, -1.3537623882293701, 0.576510488986969, -0.9273403882980347, 0.42009401321411133, -0.648036539554596, 0.16034141182899475, 0.30833715200424194, -0.29217249155044556, 0.5811204314231873, -1.2362722158432007, 0.017177265137434006, -1.1746379137039185, 1.496246576309204, 0.1802443116903305, -0.26912668347358704, -0.17041608691215515, -0.371486097574234, -0.4678179621696472, -0.5820326805114746, -1.6363838911056519, -0.30939075350761414, -0.7288276553153992, -0.45593488216400146, -1.0253902673721313, 0.4512651860713959, -0.9706807732582092, -1.0533745288848877, 1.448271632194519, 0.9736666083335876, -0.1516253501176834, 0.46466001868247986, 0.8867193460464478, 0.7127016186714172, -0.017812376841902733, -1.2727398872375488, -0.013273881748318672, 0.9423079490661621, -0.9629887342453003, -0.011710732243955135, 0.09940209984779358, 0.16572242975234985, -0.6800772547721863, 0.14991949498653412, -0.3551132082939148, -0.42260026931762695, 0.3357902765274048, 0.8606324791908264, 0.11079777032136917, 1.0450013875961304, 0.22458571195602417, -0.12128928303718567, -0.07447270303964615, -0.5330548882484436, 0.39056533575057983, -0.09892763942480087, 0.5885022878646851, 0.12295243889093399, -0.6105575561523438, -1.1130845546722412, -0.25777164101600647, -1.1084274053573608, 0.2542184889316559, 0.7208471894264221, -0.20884133875370026, 0.6814417839050293, 0.3155346214771271, 0.5130184888839722, 0.467383474111557, -0.6274495124816895, -0.27480438351631165, -0.04487127810716629, 0.6917604207992554, 0.0686708465218544, 0.5357153415679932, -0.95313560962677, 1.1610418558120728, -0.43760138750076294, -0.6754697561264038, -1.6583622694015503, -0.1638363003730774, 0.1759418100118637, -1.6925604343414307, -0.5265233516693115, -0.4722917079925537, 0.31977447867393494, 0.4669564664363861, -0.2945385277271271, 0.7939913272857666, 0.48599204421043396, 0.6707278490066528, -1.3706698417663574, 0.5962540507316589, -0.9683459401130676, -0.2367142289876938, 1.0649993419647217, 0.6288660168647766, 1.0762836933135986, -0.982952356338501, 0.09546338766813278, 0.7456960678100586, 0.38574230670928955, 1.1383298635482788, -0.9916785955429077, 0.373510479927063, 0.38497206568717957, -0.5742343664169312, 0.3978104293346405, -0.8323482871055603, -0.7745300531387329, -0.1356537938117981, -0.6707499623298645, -0.32687443494796753, -0.774822473526001, -0.5906462073326111, 0.44022420048713684, 0.21782538294792175, -2.001814603805542, -0.7185773253440857, 0.20113864541053772, -0.12232313305139542, 0.15406540036201477, 0.07369069010019302, -0.20827879011631012, -1.792285680770874, -0.8838315010070801, 0.029461802914738655, -0.11433081328868866, 2.0540366172790527, 0.16804006695747375, 0.6846938729286194, 0.18108099699020386, -0.040319304913282394, -0.6409575939178467, -0.2544824779033661, 1.466374158859253, 0.21708081662654877, 0.6892327666282654, -0.505607545375824, -0.8241101503372192, 0.5690017938613892, -0.08939453959465027, -0.08530443906784058, 0.05275263637304306, -1.2257736921310425, -0.10850904881954193, -1.2007274627685547, -0.5716233849525452, 1.1939349174499512, 0.3839825391769409, -1.1422182321548462, -0.2264246642589569, -0.28051498532295227, -1.047118902206421, 0.541206419467926, 0.0007551993476226926, -0.17020054161548615, 0.4620802402496338, 1.267918586730957, -0.2503731846809387, 0.012454578652977943, -0.7751051187515259, -1.342087984085083, 0.3961673974990845, -0.06196749955415726, 1.0082628726959229, 0.6452223062515259, 0.5551466345787048, 1.399963617324829, -0.41876789927482605, 1.2528070211410522, -1.4083646535873413, -0.021421127021312714, 0.12971436977386475, 1.8652867078781128, 0.5781667828559875, -0.061796195805072784, -0.2447853684425354, -0.20635560154914856, -1.6841691732406616, 0.02419562265276909, -0.6442376375198364, 0.09739106148481369, -0.4717119336128235, -0.7464632391929626, -0.0603405199944973, 0.5634479522705078, 0.25026190280914307, -0.06265386939048767, -0.17122767865657806, -1.2192723751068115, -1.0481822490692139, -0.9256195425987244, 0.14984031021595, -0.1967989057302475, 1.4857012033462524, 0.04007592424750328 ]
163
0704.0165
Shlomo Gelaki
Mohammad Abu-Hamed and Shlomo Gelaki
Frobenius-Schur indicators for semisimple Lie algebras
12 pages, to appear in Journal of Algebra
null
null
null
math.QA math.RT
null
Let g be a finite dimensional complex semisimple Lie algebra, and let V be a finite dimensional represenation of g. We give a closed formula for the mth Frobenius-Schur indicator, m>1, of V in representation-theoretic terms. We deduce that the indicators take integer values, and that for a large enough m, the mth indicator of V equals the dimension of the zero weight space of V. For the classical Lie algebras sl(n), so(2n), so(2n+1) and sp(2n), this is the case for m greater or equal to 2n-1, 4n-5, 4n-3 and 2n+1, respectively.
[ { "created": "Mon, 2 Apr 2007 10:59:52 GMT", "version": "v1" } ]
2007-05-23
[ [ "Abu-Hamed", "Mohammad", "" ], [ "Gelaki", "Shlomo", "" ] ]
07
[ 0.1731547862291336, 0.4375463128089905, -0.33820879459381104, -0.7535117864608765, -1.0701196193695068, -0.10537675768136978, -1.7739896774291992, -0.6047748327255249, -2.05013370513916, -0.689809262752533, 0.5788968801498413, 0.13032296299934387, 0.6421124935150146, 0.21699847280979156, -0.141238272190094, -0.05110651254653931, -0.43113529682159424, 0.5090430378913879, 0.4120294749736786, -1.041358232498169, -0.3186154365539551, -0.3419419229030609, -0.6526804566383362, -1.1412993669509888, -0.10979309678077698, -0.8910201787948608, -0.4442182183265686, 0.08013063669204712, -1.012843132019043, 2.4830915927886963, 0.5908486843109131, 0.5011360049247742, -0.19581051170825958, -0.4623218774795532, -0.21164202690124512, -0.8824973702430725, -1.1381452083587646, -0.015668431296944618, -1.8256385326385498, 0.46483173966407776, -0.9344511032104492, -0.47251081466674805, 0.11067606508731842, -1.2862952947616577, -1.2001097202301025, -0.1050974652171135, 1.6294296979904175, -1.0684034824371338, 0.6273012161254883, 0.4228420555591583, 0.4312424957752228, 1.44292151927948, -1.2524276971817017, 0.19392943382263184, 0.7515438199043274, 0.8247403502464294, -1.2140854597091675, -1.199861764907837, -0.41817933320999146, -0.03201960027217865, -0.1386745423078537, -0.37385788559913635, 0.17774716019630432, 1.9953532218933105, -0.5658774971961975, 1.0165281295776367, -0.19908413290977478, 0.6642889976501465, 1.485307216644287, -0.4323278069496155, 0.6119459867477417, 0.3255479037761688, -0.6850634813308716, -0.5482228994369507, 0.5375693440437317, 0.4276793301105499, -0.3075932562351227, -0.20112162828445435, 0.12514638900756836, -1.0162270069122314, 0.03280555084347725, 0.10562452673912048, -0.38358691334724426, -0.3438679277896881, -1.2252155542373657, 1.064589023590088, 0.5868741273880005, 1.6305032968521118, -0.8053005933761597, 0.3089994490146637, 0.9727392792701721, 0.3457981050014496, -0.2917998135089874, -0.042251575738191605, -0.1257118135690689, -1.0646684169769287, -0.8342529535293579, 0.4013966917991638, 0.09537822753190994, 1.0111485719680786, -0.2639071047306061, 0.9480220079421997, -0.38869887590408325, 0.3845400810241699, 0.8499675989151001, 0.4563000798225403, -0.00430893013253808, 0.36512815952301025, 0.5084099769592285, 0.004401457495987415, 0.1125541627407074, -0.8416826128959656, 0.7903103232383728, 0.011759716086089611, -1.1082504987716675, 1.3367247581481934, -0.8344768285751343, -0.5784300565719604, -0.4998012185096741, -0.45014357566833496, -0.6595999002456665, 0.23839375376701355, 0.7783164978027344, 0.003922207746654749, -0.3631936311721802, 1.8976510763168335, -0.2871529161930084, -0.6489874124526978, -1.0461772680282593, -1.0709072351455688, -0.7894817590713501, -0.49696654081344604, 0.36764323711395264, -0.8548277020454407, 0.5779215693473816, -0.048001982271671295, -0.14292524755001068, -0.06561364978551865, -0.2884184420108795, -0.5597484707832336, -1.071765422821045, 0.230765700340271, -0.5199849605560303, 1.192819595336914, 1.0103974342346191, -1.1950653791427612, -0.3395935893058777, 1.1525311470031738, 0.24917376041412354, -1.2208889722824097, 0.03014540858566761, -0.7790406942367554, 0.11794652789831161, 0.8538833260536194, 0.42229390144348145, -0.3526982367038727, -0.655558705329895, 0.5022832751274109, 0.06629429012537003, 0.9270575046539307, 0.6706063151359558, 0.3044436275959015, -0.934162974357605, -0.9566100239753723, 0.010248002596199512, 0.4138928949832916, -0.0614238940179348, 0.3713565468788147, 0.6838474273681641, 0.21237313747406006, -0.5027679204940796, -0.4390674829483032, 0.27940911054611206, 0.8400136828422546, 0.809108555316925, 1.0426167249679565, -0.7773359417915344, -0.2692928612232208, 0.7999938726425171, 1.2108691930770874, 0.13569580018520355, -0.06720583140850067, 0.5937448143959045, -0.09881740063428879, 0.2677386403083801, -0.8522574305534363, -0.7132426500320435, -0.534576416015625, 0.6661292910575867, -0.07997258007526398, 0.10277904570102692, -0.42368999123573303, -0.8954396843910217, -0.7113034725189209, -0.495491623878479, 0.21637023985385895, -0.6898749470710754, -0.46826496720314026, 0.3873874843120575, -0.576209545135498, 0.5515433549880981, 0.6058557629585266, 0.6873352527618408, 1.4235564470291138, -0.6603925228118896, -0.561382532119751, 1.1383949518203735, 0.5817217230796814, 1.1748754978179932, -0.41610556840896606, 0.13137556612491608, 0.8254632353782654, 0.26123493909835815, -0.45934632420539856, 1.183995008468628, 0.02712155319750309, 0.27120038866996765, -0.5348374247550964, 0.9697780013084412, -0.12579257786273956, -0.7207006216049194, 0.8237361907958984, 0.998343288898468, -0.6337161064147949, 0.7610750794410706, 0.8266289234161377, -0.014043858274817467, -0.20824147760868073, -0.036681197583675385, -0.03634726628661156, -0.21596573293209076, -0.004179283976554871, 0.6828176379203796, -0.1738271862268448, 0.28405797481536865, 0.6908367872238159, -0.5603524446487427, -0.795322597026825, 0.147776797413826, -0.1952628195285797, -0.3034048080444336, -0.18158017098903656, 0.23246224224567413, -0.561798095703125, -0.4581295847892761, 0.6025528311729431, 0.40197768807411194, 0.004142739810049534, -0.7360291481018066, 1.1918821334838867, -0.4484962224960327, -0.2625642418861389, -0.9245337247848511, 0.30572786927223206, 0.5049421787261963, 0.4383237063884735, 0.05253194272518158, 0.44148877263069153, -1.0854555368423462, -1.137385368347168, 0.7487762570381165, -0.5342928767204285, 0.39239078760147095, 1.5806467533111572, -0.5532235503196716, -2.039114475250244, -1.2333838939666748, 0.3388879895210266, 0.28533869981765747, -0.06867508590221405, -0.5114538669586182, 1.5548814535140991, 1.3559919595718384, 0.26065593957901, -1.2761759757995605, 0.600585401058197, -1.640181303024292, -1.9149246215820312, -0.7484636902809143, -1.5026445388793945, -0.7931010723114014, 0.5447896122932434, -0.06836256384849548, 2.176450252532959, 0.041904713958501816, 0.0609099417924881, 0.040278058499097824, -0.2801145315170288, 0.752453625202179, 0.1615026295185089, -0.07921795547008514, -0.7515833377838135, -0.6620739102363586, -0.6071035861968994, -1.7646304368972778, -0.22941529750823975, -0.6892112493515015, 0.5033062100410461, -0.3772628605365753, 0.6132540106773376, -0.31994983553886414, -0.0060663181357085705, -0.5846579670906067, -0.28892338275909424, 0.22144967317581177, 0.20890340209007263, 0.03213542699813843, 0.08942411839962006, -1.2224195003509521, -0.03270548954606056, -1.0826698541641235, 0.8629054427146912, -0.2751508057117462, -0.35628849267959595, -0.49254855513572693, 0.6631637215614319, -0.3080348074436188, -0.08015895634889603, 1.2561715841293335, -0.3636864423751831, -1.5817254781723022, 0.8255307078361511, 0.24843160808086395, -1.0995521545410156, -0.022821199148893356, 0.4623652398586273, -0.08204950392246246, 0.141304612159729, 0.7752885818481445, -0.45441490411758423, 0.369396448135376, 0.5119695067405701, 0.045575451105833054, -0.9843625426292419, -1.0019022226333618, -1.343111515045166, -0.09833905845880508, 0.2808380126953125, -0.17490001022815704, -0.22867481410503387, -0.11806166172027588, -0.6275545954704285, -0.9754557609558105, -1.091264009475708, 0.4045344591140747, -0.47370490431785583, 0.26941269636154175, -0.2132551074028015, -1.0987799167633057, -0.08296733349561691, 1.0096244812011719, -0.7623328566551208, 1.6156233549118042, -0.141325443983078, 0.30149179697036743, -0.07843261957168579, 0.43093737959861755, 0.17063117027282715, -0.20098140835762024, 0.031060973182320595, -0.22494567930698395, 1.3972690105438232, -0.10248496383428574, 0.27755141258239746, 1.2527302503585815, -0.08853717148303986, 0.8638796210289001, 0.8020517826080322, 0.24142585694789886, -0.7654606699943542, -0.5108312964439392, -0.4463646709918976, -1.4449454545974731, -0.10461369156837463, -1.0115166902542114, -0.9285063147544861, -0.05873202532529831, 0.247432142496109, 1.4659518003463745, -0.2751259505748749, -0.2470257431268692, 0.20592233538627625, -0.45022544264793396, -0.44557127356529236, 0.7046632766723633, 0.5385032296180725, 0.09510776400566101, -0.6662927865982056, 0.10109498351812363, -0.049083925783634186, 0.7162497043609619, -0.7267336845397949, 0.15999336540699005, 0.10092653334140778, 0.3618094027042389, 0.31502383947372437, 1.000486969947815, -0.25780874490737915, -0.7599285244941711, 1.2690879106521606, -0.41197457909584045, 0.011600403115153313, 0.2749551832675934, 0.8869524598121643, -0.1828365921974182, -0.45531219244003296, -0.1881968080997467, 0.44377589225769043, -0.5384055376052856, -0.6728364825248718, 0.30455973744392395, 0.24242381751537323, -1.219049334526062, -0.05976151302456856, -1.4677319526672363, 0.5287954211235046, 0.19318003952503204, -0.9721207022666931, 0.5215201377868652, -1.0896648168563843, -0.5229458212852478, -0.7963718771934509, 0.4105115234851837, -0.1988479495048523, 0.5175573229789734, 0.8809034824371338, -0.5470414161682129, -0.25104352831840515, -0.4709210693836212, -0.633639931678772, 1.1469309329986572, 0.5392254590988159, -0.6991012096405029, 0.6357389092445374, 0.1172153577208519, -0.4145607352256775, 0.8776657581329346, 1.557868480682373, 0.15711770951747894, -0.07762279361486435, -0.9864434003829956, 0.7360801696777344, -0.08001388609409332, 1.21962571144104, -0.7585893273353577, 0.25163015723228455, -0.5616746544837952, 0.8861172795295715, -1.0054550170898438, 0.9917783737182617, 0.4173721671104431, -0.8459475040435791, -0.09992986917495728, 0.14564722776412964, 1.035779356956482, 0.9579670429229736, 0.9500716924667358, 0.2415483295917511, -1.2260113954544067, 0.6252886056900024, -0.8004177212715149, 0.4795202612876892, -0.1414126455783844, -0.3161930441856384, 0.1560986340045929, 0.07402868568897247, -0.2888209819793701, -0.5366112589836121, -1.6672108173370361, 0.35707521438598633, 0.7198449373245239, -0.5504092574119568, -1.3365122079849243, -0.29567328095436096, -0.5050075054168701, -1.3089096546173096, 0.2779160737991333, 0.23310740292072296, 1.6121515035629272, -0.5060721039772034, 1.830976128578186, 0.7847098708152771, -0.3639346957206726, 1.559667944908142, -0.32699400186538696, 0.370164692401886, -0.08465059846639633, -1.185326337814331, -1.6859148740768433, 1.1722962856292725, 0.17063915729522705, 0.4335239827632904, -0.38525956869125366, -1.1541023254394531, -0.37067610025405884, -0.17841720581054688, -0.14050090312957764, -0.9748238921165466, -0.3828110098838806, 0.9183484315872192, -0.5728787779808044, -1.2901264429092407, -0.2662087678909302, 0.38908496499061584, -0.9856579303741455, 0.6540042161941528, -0.24106599390506744, -0.20058996975421906, 0.20062460005283356, 0.25130707025527954, -0.5644564032554626, -1.075966715812683, 1.0368378162384033, -0.5138580799102783, 0.5553053617477417, -0.6491231322288513, 0.5535697340965271, -2.930321216583252, -0.873153030872345, 1.2186142206192017, 0.9800236225128174, -1.051391363143921, 0.0009700187365524471, 0.470485121011734, -0.59722900390625, 0.005941621959209442, -0.4959090054035187, -0.48972630500793457, -1.008717656135559, 0.5005847811698914, -0.25353336334228516, -0.1946829855442047, -0.1686006486415863, -0.8487895727157593, 0.5626699924468994, 0.15122351050376892, -0.14388906955718994, 0.43774646520614624, -0.5295870900154114, 0.23809923231601715, -0.6611888408660889, -0.664458692073822, 0.47840416431427, 0.042649008333683014, -0.2791884243488312, 0.4115399122238159, 0.27745717763900757, -0.00008649636583868414, 0.6240401864051819, 0.05606543645262718, -1.068204641342163, 0.9884738922119141, -0.11932733654975891, 0.6339226961135864, -0.9856995344161987, 0.03348584845662117, -7.5341057777404785, -0.31766870617866516, -0.5099917054176331, -0.081930972635746, 0.4980557858943939, -1.397816777229309, -0.3768848776817322, 0.012800714001059532, -0.3864632546901703, 0.9538152813911438, 0.36884480714797974, 0.12410100549459457, -1.2031933069229126, 0.20613247156143188, 0.9260650277137756, -0.714320182800293, 0.43956008553504944, 0.46745532751083374, 0.22693955898284912, 0.7387078404426575, 0.48518070578575134, -0.1995871365070343, 0.2114052176475525, 0.35082852840423584, 2.6827008724212646, -0.36767899990081787, -0.31628212332725525, 0.1886187046766281, -0.6878060698509216, 0.25199031829833984, -0.9699664115905762, 0.506005048751831, 0.48101404309272766, 0.7422623038291931, -1.6042548418045044, 0.357338011264801, -0.05190409719944, -0.05864543095231056, -0.6845578551292419, -0.22835028171539307, 0.46321120858192444, 0.051829930394887924, 0.3006739914417267, -0.9689218997955322, -0.8163725733757019, -0.1873610019683838, 0.27834078669548035, 0.8399652242660522, 0.4710860252380371, -0.48477792739868164, -0.47725003957748413, 1.6504004001617432, 1.2989401817321777, -0.19774110615253448, -0.6097514033317566, 0.11738695204257965, -1.4491920471191406, 0.1903635710477829, -0.831489622592926, -0.4548383057117462, -0.05176055431365967, -0.2059205174446106, 1.8442851305007935, 1.0367627143859863, 0.4640185534954071, 0.7235904335975647, 0.31962448358535767, -0.6064100861549377, 0.44477009773254395, -0.19964808225631714, -0.22299808263778687, 1.0439592599868774, -0.055723343044519424, -0.4846396744251251, -0.6338068842887878, -0.22610674798488617, 1.0484912395477295, -0.48474329710006714, -0.6964378952980042, -0.7008484601974487, -0.06232403963804245, -0.8349722027778625, -0.32077428698539734, 0.8227657079696655, -1.557221531867981, -0.28337499499320984, 0.056491248309612274, -0.05875372141599655, -0.44801247119903564, 0.44054824113845825, -0.20629984140396118, -0.21753762662410736, -0.2068343311548233, -0.2530949115753174, 0.06389705091714859, 0.14768898487091064, -0.21381138265132904, -0.43994107842445374, 0.1680881381034851, 0.6782247424125671, 0.5068410038948059, 0.8256276249885559, 0.8826400637626648, 0.05555491894483566, -1.0390849113464355, -0.5092066526412964, -0.6494604349136353, 0.31834977865219116, -0.6845797300338745, 0.6075280904769897, -0.5360428690910339, 0.41923031210899353, -0.46619507670402527, -0.7580798268318176, 1.0039145946502686, 1.3504412174224854, -1.5805152654647827, -0.3402218818664551, -0.35901889204978943, -0.37346333265304565, 1.2599834203720093, -1.8388065099716187, -0.6097956895828247, 0.5496110916137695, 0.9890481233596802, 0.4441257119178772, -0.8358393907546997, 0.0105097945779562, -0.5742193460464478, -1.2865720987319946, -0.061579592525959015, 0.498833566904068, -1.196704387664795, -0.00007960235234349966, -1.2565491199493408, 0.6404880881309509, -0.10806301981210709, -1.8911410570144653, 0.17807768285274506, 0.3881956934928894, 1.033125877380371, -1.5168832540512085, 0.44302427768707275, 0.42208558320999146, -0.14971640706062317, -0.04089866206049919, 0.5188379883766174, 0.9591364860534668, 0.16490314900875092, 0.03354359418153763, -0.48585090041160583, 0.49876120686531067, 0.7834211587905884, -1.3138176202774048, -0.6428061723709106, 0.13869856297969818, -0.7231608033180237, -0.5997177958488464, -0.9781703352928162, 0.09301481395959854, 1.0251461267471313, -0.6698934435844421, 2.3247501850128174, 0.6956485509872437, 1.3722387552261353, 0.30380958318710327, -0.27066168189048767, -0.1200653612613678, -0.06602903455495834, -0.48224571347236633, 0.8810800313949585, -0.23384520411491394, 0.41254788637161255, 0.40198782086372375, 0.23222890496253967, 0.7382738590240479, -0.4870857894420624, 0.8820164203643799, -0.5716737508773804, -0.08564320206642151, 0.6131755709648132, -0.6019070148468018, 0.44743579626083374, -0.12860211730003357, -0.058022160083055496, 0.7118627429008484, -0.045896075665950775, -0.0010941681684926152, 1.285069465637207, 1.133488416671753, -1.1267952919006348, 0.03496924042701721, 0.1182202473282814, -1.1944481134414673, -0.479949951171875, 0.5211024284362793, -0.6260085701942444, -0.5744848847389221, -0.29661235213279724, -0.1271180510520935, 1.1227933168411255, -0.16402682662010193, 0.46790215373039246, -0.08042685687541962, 0.3970135748386383, -0.3443738520145416, -0.46835607290267944, 0.012609496712684631, -0.13329356908798218, -0.46910446882247925, 0.17059583961963654, -0.062486015260219574 ]
164
0704.0166
I\~naki Garc\'ia-Etxebarria
Inaki Garcia-Etxebarria, Fouad Saad, Angel M. Uranga
Supersymmetry breaking metastable vacua in runaway quiver gauge theories
26 pages + appendices, 25 figures. v2: Added some acknowledgments
JHEP 0705:047,2007
10.1088/1126-6708/2007/05/047
IFT-UAM/CSIC-07-14, CERN-PH-TH/2007-063
hep-th
null
In this paper we consider quiver gauge theories with fractional branes whose infrared dynamics removes the classical supersymmetric vacua (DSB branes). We show that addition of flavors to these theories (via additional non-compact branes) leads to local meta-stable supersymmetry breaking minima, closely related to those of SQCD with massive flavors. We simplify the study of the one-loop lifting of the accidental classical flat directions by direct computation of the pseudomoduli masses via Feynman diagrams. This new approach allows to obtain analytic results for all these theories. This work extends the results for the $dP_1$ theory in hep-th/0607218. The new approach allows to generalize the computation to general examples of DSB branes, and for arbitrary values of the superpotential couplings.
[ { "created": "Mon, 2 Apr 2007 13:30:06 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2007 15:23:35 GMT", "version": "v2" } ]
2009-11-13
[ [ "Garcia-Etxebarria", "Inaki", "" ], [ "Saad", "Fouad", "" ], [ "Uranga", "Angel M.", "" ] ]
07
[ 0.4980798363685608, -0.42100730538368225, 0.455544650554657, 1.0715450048446655, -0.6848567724227905, 0.21239015460014343, 0.4139266908168793, -0.3791428804397583, 0.4223487973213196, -0.8244977593421936, 0.8576540946960449, 1.1060229539871216, 0.7545879483222961, 0.7653952836990356, 0.35139620304107666, 0.44482895731925964, -0.4157879948616028, -0.5083138346672058, -0.41265037655830383, -0.2721593379974365, -0.3780701458454132, -1.6251012086868286, -0.6446967124938965, -1.0105842351913452, -0.27097517251968384, -0.29545876383781433, 0.5643098950386047, 0.8168020248413086, -1.5490376949310303, 0.5764855146408081, 1.0087954998016357, 0.46850505471229553, 0.12871359288692474, -0.32516586780548096, -0.057425357401371, -0.4576898217201233, -0.03604893758893013, -0.07770757377147675, -0.03365498036146164, 0.3681008815765381, 0.2567492723464966, 0.6789389252662659, -0.4738018810749054, -0.2600657045841217, 0.7426286935806274, 0.4449532628059387, -0.22425678372383118, 0.20094440877437592, 0.11248747259378433, 0.3063870370388031, -0.8044552206993103, 0.9894554018974304, 0.28982168436050415, 1.3970590829849243, 0.6778982877731323, -0.25357943773269653, 0.31372931599617004, 0.44899439811706543, -0.3798852264881134, -1.5317529439926147, -0.19528377056121826, 0.8366791009902954, -0.6141104698181152, 0.5462335348129272, -0.9129759669303894, -0.2127862572669983, 0.4427918791770935, -0.11843125522136688, 1.3310844898223877, -0.7678281664848328, 0.41247040033340454, 0.47473061084747314, 0.10670740902423859, 0.559276819229126, -0.9715090394020081, 0.8852840065956116, 0.3472738564014435, -1.215128779411316, -0.5745196342468262, -1.3677523136138916, -0.9596894979476929, -0.29557299613952637, -0.9281994700431824, -0.07773157209157944, -1.3672797679901123, 0.579154908657074, -0.23594942688941956, -0.02546941116452217, -1.3849726915359497, 1.6604613065719604, 1.092392921447754, -0.22438332438468933, -0.5955124497413635, 0.5205703973770142, -0.046468909829854965, -0.601593554019928, -1.5836127996444702, 0.4788565933704376, 0.009120672009885311, 0.516366183757782, 0.4767860174179077, -0.86451655626297, -0.1547173261642456, 0.02526363916695118, -0.11564725637435913, 0.7814299464225769, 0.5085951685905457, 0.17907199263572693, 0.06718186289072037, 0.26994001865386963, -0.32934921979904175, -0.5505996942520142, -0.4406491219997406, -0.4185849130153656, -0.5593485832214355, -0.13001792132854462, 0.6850317716598511, 0.7876312732696533, 0.11465819925069809, 1.035418152809143, -0.19420646131038666, -0.25607407093048096, 1.2701629400253296, -0.3103416860103607, 0.4722132682800293, -1.0444021224975586, 1.8193804025650024, -0.26103633642196655, 0.7498351335525513, 0.7821120619773865, 0.09256249666213989, 0.02452576532959938, 1.0143669843673706, -1.2572782039642334, -0.6849262118339539, 1.3002283573150635, 0.25590139627456665, -0.6227646470069885, 0.9661208391189575, -1.4382904767990112, 0.7653699517250061, -0.3595087230205536, 0.39392581582069397, 1.5929949283599854, -0.5348870158195496, -0.7531022429466248, 0.3144770562648773, -0.6764211654663086, 0.5452383160591125, 1.3183809518814087, -0.3189258277416229, -1.3140935897827148, -0.5030516982078552, 1.0987824201583862, -1.2853007316589355, 0.7956693768501282, 0.5942678451538086, 0.963687539100647, 0.5446345210075378, -1.0475859642028809, -0.3981916010379791, -1.1442033052444458, 1.2943217754364014, -0.1899617314338684, 1.1513805389404297, 1.5007233619689941, -0.019582824781537056, 0.540838897228241, -0.5906410813331604, -1.519684076309204, 0.612608790397644, -0.45840123295783997, -0.1505526751279831, -0.20229366421699524, 0.21676330268383026, -1.2045129537582397, -0.3522780239582062, 1.095280647277832, -0.47869402170181274, 0.30713653564453125, -0.41296619176864624, -0.2405099719762802, 0.03967525437474251, 0.2616196870803833, 0.5481332540512085, -1.6693557500839233, 0.6665024757385254, -0.4433014392852783, -0.5051713585853577, 0.09934645891189575, -1.1299282312393188, -0.9810167551040649, -2.9137051105499268, 0.33558589220046997, 0.5179715156555176, 0.5768989324569702, -0.8302239775657654, -0.43180540204048157, -1.1850730180740356, 0.30256545543670654, 0.12645043432712555, 0.03987271338701248, -0.9885666966438293, 0.29504427313804626, -0.37706509232521057, 0.26775819063186646, -0.08119817078113556, 0.6050495505332947, -0.8213234543800354, 0.42958998680114746, -0.33061718940734863, 0.2311919927597046, 1.1517940759658813, -0.5959406495094299, 0.6750133037567139, 0.25495645403862, 0.6262893676757812, -0.7341139316558838, -0.7083536386489868, 0.5437572002410889, -0.4781741201877594, 0.09924798458814621, 0.8678168058395386, -0.1883143186569214, 1.1015352010726929, -1.5140329599380493, 1.027370810508728, 0.33983349800109863, 0.17528600990772247, -0.10178819298744202, 0.6668403744697571, -0.08445528149604797, 1.06874680519104, -1.747460126876831, 0.5710495710372925, -0.6291449069976807, 0.9171982407569885, -0.09645071625709534, -1.2738078832626343, 0.9103152751922607, -0.1751146912574768, -0.3918091356754303, 1.0088223218917847, -0.7642472982406616, -1.4583839178085327, 0.6243374943733215, 0.20989397168159485, -0.5055515170097351, -0.5935255289077759, 0.1731344759464264, 0.6026204824447632, 0.019605157896876335, -0.5822519659996033, -0.6887953281402588, -0.17996548116207123, -0.28559479117393494, -0.791854739189148, -0.16157059371471405, -1.2859625816345215, 0.7304620742797852, -0.41690269112586975, -0.6033529043197632, -1.0541629791259766, -1.0088448524475098, 0.8810399174690247, -0.20547382533550262, -0.2978670597076416, 0.004356994293630123, 0.22847379744052887, 0.7955061793327332, -1.0182456970214844, 0.21391063928604126, -0.7047173976898193, -2.0052077770233154, 0.7987883687019348, 0.6164214015007019, 0.35569313168525696, -0.27391713857650757, -0.19989386200904846, -0.6749064326286316, 0.006495797540992498, 0.3721173107624054, 0.8505079746246338, -0.4453945755958557, 0.07924890518188477, -0.966521680355072, 0.13033078610897064, -0.35351306200027466, -0.6290902495384216, 0.08172057569026947, 0.5162054896354675, 0.5318536162376404, 0.7166721224784851, -1.0647943019866943, -0.08307579159736633, 0.8962737917900085, 0.19832144677639008, -0.4487399458885193, 1.4676624536514282, 0.7919145822525024, -1.0891247987747192, -0.9612882733345032, -0.08922161161899567, -0.00014920085959602147, -0.05573660135269165, -0.018444571644067764, -0.11504954844713211, 0.3418390452861786, -0.05411258339881897, -0.17656970024108887, -0.44415318965911865, -0.12101097404956818, 0.9814957976341248, 0.49884623289108276, -0.6316635608673096, -0.9422169327735901, -0.2920486330986023, -0.2255331426858902, -0.8748960494995117, 0.24314673244953156, 1.098484992980957, -0.0743844285607338, 2.687983751296997, -0.39299753308296204, -0.34630265831947327, -1.56478750705719, 1.9163016080856323, 0.2986622154712677, -1.5723731517791748, -1.650019884109497, -0.5014397501945496, 0.3476133346557617, 0.9511334300041199, 0.8664420247077942, -0.1945199966430664, -0.3785872161388397, 0.057768192142248154, -0.4643157124519348, 1.0609548091888428, -0.7772336602210999, 0.24779300391674042, 0.6160143613815308, 0.9321080446243286, 1.117160677909851, 0.16922086477279663, -0.4195172190666199, 0.27655547857284546, -0.42331334948539734, -1.1888096332550049, -0.8444450497627258, -1.0395210981369019, -1.568304181098938, 0.7995275855064392, 0.39524751901626587, 0.05987943336367607, 0.30679163336753845, 0.35695505142211914, 0.3530441224575043, 0.06756976246833801, -0.22535094618797302, -0.7539721131324768, 1.3346738815307617, 0.34917980432510376, -1.1266529560089111, 0.6009093523025513, 0.8152838945388794, -0.6268398761749268, 0.33270612359046936, 0.12181780487298965, 1.0257394313812256, -1.8673515319824219, 0.337359756231308, -1.1630570888519287, -0.010520795360207558, -0.495177686214447, -0.5711317658424377, -0.166521817445755, 0.1166403666138649, 0.523373544216156, -0.19892223179340363, -1.4099936485290527, 0.039095621556043625, 0.04061046987771988, -0.33289358019828796, -0.08834827691316605, 0.22682419419288635, 0.635608434677124, 0.7395958304405212, 0.44491007924079895, 0.4986497759819031, 0.578153133392334, -0.8923552632331848, 0.1656254380941391, -0.563498854637146, -0.9614675641059875, 0.24358166754245758, -0.14103616774082184, 0.8559716939926147, 0.5578209161758423, 0.3793821632862091, -0.209010511636734, -0.34985631704330444, -1.1855641603469849, 1.0154566764831543, -0.7778908610343933, 0.12950989603996277, 0.17122437059879303, 0.9162775874137878, -0.877165675163269, -0.6004347205162048, 0.6715869903564453, 0.35513222217559814, 0.4935707747936249, 0.16082161664962769, -0.1951243132352829, -0.3007444739341736, -1.2123229503631592, -0.9604775309562683, -0.16631801426410675, 0.4878990054130554, -0.3381887376308441, -0.8715086579322815, -0.02559519186615944, 2.6219704151153564, -1.322332501411438, 0.10439381748437881, -0.39193078875541687, 0.47616755962371826, 0.30011263489723206, -0.3635323643684387, -0.9168272018432617, -0.07735360413789749, -0.9179079532623291, 0.7565268278121948, 0.04731983691453934, -0.4385378658771515, -0.6347596645355225, 1.7431588172912598, -0.3519693613052368, 1.001183032989502, 0.20890364050865173, 1.5248219966888428, 0.5671989321708679, -0.7387204766273499, 0.6997970938682556, -0.37960031628608704, 0.06571701169013977, 0.7571425437927246, -1.5001534223556519, 0.3723929226398468, 0.05016351118683815, 0.7904115319252014, 0.184040367603302, 0.9938638806343079, 0.08379925042390823, -0.8033296465873718, 1.6432290077209473, 0.16993895173072815, -0.21111831068992615, 0.6835002899169922, 0.17917278409004211, 0.08218850940465927, 0.7081944346427917, -1.5393013954162598, 0.15791624784469604, -0.9029633402824402, -0.3232097029685974, 0.11536501348018646, -0.669201135635376, -0.44369474053382874, 0.4740518629550934, -1.4772729873657227, -0.386999249458313, 0.3218801021575928, -0.6021884083747864, -1.5617754459381104, 1.103624939918518, 0.9455950260162354, 0.6174712777137756, 0.28826582431793213, 1.1682456731796265, 0.5801348686218262, -0.021862130612134933, -0.437811017036438, -0.6518551707267761, 1.1079336404800415, -0.612585723400116, 0.5589768290519714, -0.7801211476325989, 0.06681297719478607, -0.3056133985519409, 0.5007753968238831, 0.2733541429042816, -0.1926223635673523, 0.5209482908248901, 0.3681468069553375, -0.007740146014839411, -0.9515895247459412, -0.09124261885881424, -0.07669487595558167, -0.52271968126297, -0.3581220805644989, -0.10721021145582199, -1.2873631715774536, -0.6132006645202637, -0.26135480403900146, -0.06941433995962143, 0.5358913540840149, -0.8593665361404419, 1.6812258958816528, -0.44265398383140564, -0.9392834305763245, 0.8843775391578674, 0.20950661599636078, -0.42863157391548157, -0.9369551539421082, 0.03583648055791855, -3.102504253387451, 0.690387487411499, -0.4944787919521332, -1.4002032279968262, -0.5162943601608276, 0.08843765407800674, -0.21156364679336548, 0.2850005030632019, 0.1373395472764969, 0.33413830399513245, -0.6586145162582397, -1.0537129640579224, 0.9806306958198547, -0.20111408829689026, -0.10810922086238861, -0.1143840029835701, -1.17570960521698, -0.6708561182022095, -1.0790437459945679, 0.6790030598640442, 0.3804084360599518, -1.661199927330017, -0.5498912334442139, 0.8695880770683289, -0.5772197246551514, -0.059144191443920135, -0.7833772301673889, -0.875636100769043, 0.07021042704582214, -1.0580062866210938, -0.07217004895210266, -2.4137401580810547, 0.577998697757721, 0.4545153081417084, 0.004247195087373257, -0.5209059715270996, -0.31620901823043823, 0.05816798284649849, -0.7140867710113525, -6.25826358795166, -0.855116605758667, -0.03388449549674988, 0.08868247270584106, 0.19261406362056732, 0.5474678874015808, -0.6761606335639954, -0.7797217965126038, 0.3802659213542938, 1.8060054779052734, 0.7155457139015198, 0.373809814453125, 0.056415170431137085, -0.17794108390808105, 0.4796411991119385, 0.26466724276542664, -0.38965144753456116, 0.46388259530067444, -0.24005454778671265, 0.6191554069519043, -0.17321573197841644, 0.06077764183282852, -1.2032532691955566, -1.0524629354476929, 1.7398762702941895, 0.7244036793708801, 0.1296275407075882, -0.5160124897956848, -0.08980739861726761, 0.13974079489707947, -0.8062820434570312, -0.24588599801063538, -0.5295001268386841, 0.1613183170557022, -0.2522623538970947, -0.15945160388946533, -0.5821689367294312, -0.6521670818328857, 0.3446570336818695, -0.5041458606719971, 1.102432370185852, 0.3494463860988617, 0.2625246047973633, -0.3925026059150696, -1.15602445602417, 2.1857988834381104, -0.33215588331222534, 0.4733634889125824, 0.39864665269851685, 0.2497349977493286, -0.2894513010978699, -0.3660025894641876, 0.7000887393951416, -0.2928827702999115, -1.7132129669189453, 0.11505310237407684, 0.3375244438648224, -0.05674741789698601, -0.7577580809593201, -0.6989688277244568, -0.05254414305090904, -1.0203707218170166, 1.1153908967971802, 0.7376447319984436, -0.2858455777168274, -1.3742326498031616, 0.49195966124534607, -0.03589370846748352, 0.2738613188266754, -0.77878737449646, -0.6729610562324524, -0.4297395646572113, -0.5529862642288208, -2.2211925983428955, -1.4081273078918457, -0.11860309541225433, 0.20870129764080048, 1.5448194742202759, 1.0373553037643433, -0.14806774258613586, -0.9545955061912537, -0.11279125511646271, -1.094028353691101, -0.1521816998720169, -1.6603366136550903, -1.0380994081497192, -0.2756817638874054, 0.4379175305366516, 0.28022414445877075, -0.144968181848526, 0.33837267756462097, 0.8643217086791992, -0.5393055081367493, -1.1799689531326294, 0.06349238753318787, -1.0845752954483032, -0.015468334779143333, -0.8902134895324707, -0.25372302532196045, -0.37994080781936646, -0.020419171079993248, 0.6700212359428406, 1.0130228996276855, 0.4010533392429352, 0.8811629414558411, -0.4896833598613739, -0.6760620474815369, 0.20451711118221283, 0.07306400686502457, -0.6885044574737549, -0.2591381072998047, 0.4513595998287201, 0.0013566712150350213, -0.16691096127033234, 0.16394086182117462, 0.3272475004196167, -0.12148049473762512, 0.5891184210777283, 0.6438268423080444, -0.4753565788269043, 0.21396811306476593, -1.2077205181121826, 1.0616005659103394, 0.00029874377651140094, -0.2942144572734833, -0.955269455909729, -1.0862150192260742, 0.19699503481388092, -1.157387375831604, 0.9099453687667847, -1.0397059917449951, -0.5807561278343201, 0.1971859335899353, 0.30926892161369324, -0.20596162974834442, -0.716177761554718, 0.19790594279766083, 0.07763803750276566, 0.7240095138549805, -0.3320625126361847, -0.2551276683807373, -1.0868045091629028, 0.8331770896911621, 0.4249823987483978, 0.20805561542510986, 1.1827027797698975, -0.2683887183666229, -0.2834109365940094, 0.011649043299257755, 0.19723884761333466, 1.3595598936080933, 0.7684571743011475, 0.7131459712982178, 0.6932453513145447, -0.23326988518238068, -0.49543821811676025, 0.010784318670630455, -0.4158220589160919, 0.06570255756378174, -0.5489038825035095, 1.4840449094772339, 0.794845700263977, 0.3811997175216675, 1.392967939376831, 0.3779849112033844, 0.3140285611152649, -0.6411952376365662, -0.30794772505760193, 1.270874261856079, 0.5328884720802307, 0.4162810146808624, 0.11969586461782455, -1.4695394039154053, -0.21065476536750793, 0.21294330060482025, 0.4075827896595001, -0.8062419295310974, 0.5516312122344971, 0.4362727999687195, -0.6166462898254395, -0.18620893359184265, 0.48529714345932007, 0.2857006788253784, 1.294163703918457, 0.3772023618221283, 0.8262420296669006, 0.10992343723773956, -0.6528002023696899, 0.25635504722595215, 0.3874858319759369, -0.47356292605400085, 0.24553067982196808, 0.9926595091819763, -0.6445320844650269, -0.387349396944046, 0.050698697566986084, 0.01242892351001501, -0.04171871393918991, -0.34925106167793274, -0.9292094111442566, -0.8985572457313538, 0.5518725514411926, 0.43444517254829407, -0.5826531052589417, 0.4723031222820282, -0.8503795266151428, 1.3355555534362793, 0.46750423312187195, 0.513400137424469, -1.3793953657150269, 0.36319583654403687, -0.6747040748596191 ]
165
0704.0167
Jan O. Eeg
Jan O. Eeg
Low Energy Aspects of Heavy Meson Decays
10 pages, 10 figures. Presented at the final Euridice meeting in Kazimierz, Poland 24-27th of august 2006
ActaPhys.Polon.B38:2869-2878,2007
null
null
hep-ph
null
I discuss low energy aspects of heavy meson decays, where there is at least one heavy meson in the final state. Examples are $B -\bar{B}$ mixing, $B \to D \bar{D}$, $B \to D \eta'$, and $B \to D \gamma$. %and $B \to D W $ (Isgur-Wise function). The analysis is performed in the heavy quark limit within heavy-light chiral perturbation theory. Coefficients of $1/N_c$ suppressed chiral Lagrangian terms (beyond factorization) have been estimated by means of a heavy-light chiral quark model.
[ { "created": "Mon, 2 Apr 2007 11:03:26 GMT", "version": "v1" } ]
2008-11-26
[ [ "Eeg", "Jan O.", "" ] ]
07
[ 0.13544492423534393, 0.09263677150011063, 0.8196539282798767, -0.7270632982254028, -1.6775513887405396, 0.9117798805236816, -0.5233905911445618, -1.2415056228637695, -0.17680616676807404, -0.9951409101486206, -0.26572543382644653, 0.6414183378219604, 1.4814785718917847, -0.14305615425109863, -0.07402344048023224, -0.45805883407592773, -1.7534208297729492, 0.3305957615375519, 0.2779146432876587, -1.9365830421447754, 0.4324146509170532, 0.2296944558620453, 0.2441473752260208, -1.9491684436798096, -0.8727397322654724, 0.12481782585382462, -0.36722445487976074, 1.4393479824066162, -1.5095304250717163, -0.5036481618881226, 0.4342604875564575, -0.45820608735084534, -0.8056526184082031, 0.17163817584514618, 0.36291658878326416, 0.6413427591323853, 1.6189810037612915, -0.4726979732513428, -0.5870612859725952, -0.1308826059103012, -0.882051944732666, 2.010087251663208, 0.5600573420524597, 0.30804887413978577, -0.6954716444015503, -0.8822249174118042, -1.369310975074768, -0.8366950750350952, 0.36869367957115173, 0.5073476433753967, -0.5343708395957947, 1.5719314813613892, 0.01690673828125, 1.8339227437973022, -0.3250091075897217, 1.6221524477005005, 0.9868065714836121, 0.06992010772228241, -0.43968772888183594, -1.5573996305465698, -0.14350534975528717, 1.2766149044036865, -0.3359479308128357, -0.19749456644058228, -0.7365114688873291, -0.3466019332408905, -0.5543954372406006, -0.049830999225378036, -0.28835946321487427, -0.2535695433616638, -1.5030721426010132, -1.0645560026168823, 0.7682175636291504, -1.1346648931503296, -0.7628353834152222, -0.03941982239484787, 0.010821600444614887, -0.7135697603225708, 0.5891817212104797, -0.1292150616645813, -0.2995247542858124, 1.1763994693756104, -0.7305706143379211, -1.2889044284820557, 0.7638187408447266, 0.14142607152462006, 0.2456342577934265, 0.66263347864151, -1.5394206047058105, 0.6604528427124023, 0.6614310145378113, -0.3328632414340973, -0.2078360915184021, 0.5874033570289612, -0.571476399898529, -0.9110919237136841, -0.53138267993927, 0.5340784788131714, -0.15512724220752716, 0.16473911702632904, 0.44150465726852417, -0.8996169567108154, -0.12397100776433945, 0.028689509257674217, -1.4424930810928345, 0.028598066419363022, -0.04417889937758446, -1.2527008056640625, 0.0074571832083165646, 0.2503077983856201, 0.07121600955724716, -0.9250917434692383, 0.6660863757133484, 0.28565484285354614, -0.42383357882499695, -1.2975767850875854, -1.2918070554733276, 0.37750253081321716, 1.0350137948989868, -0.03499019145965576, -0.7840264439582825, -0.8408059477806091, 0.2185070514678955, -0.5445506572723389, 0.5447366833686829, 0.748761773109436, 0.6058540344238281, -0.02789573185145855, 0.3467155992984772, 1.218176245689392, -0.6275033354759216, -0.17780441045761108, 0.19422674179077148, -0.04234771430492401, -0.21295565366744995, -0.15169592201709747, -1.7013227939605713, 0.335968941450119, -0.02264283411204815, -0.6583629846572876, 0.3130335211753845, 0.17686547338962555, -1.1962497234344482, -0.6873266100883484, -0.6662348508834839, -0.6236644983291626, -1.0103026628494263, 0.6208505034446716, 0.6780215501785278, 0.6780539751052856, 0.14418336749076843, 0.20891103148460388, 0.6983023285865784, 0.7346690893173218, -0.8595907688140869, -1.4014198780059814, 0.573124885559082, 0.9370703101158142, -0.801315426826477, -0.7503888607025146, 0.34643638134002686, 0.08997991681098938, 0.3425663113594055, 0.8201332092285156, 0.1489887833595276, -1.1789218187332153, 0.4226393401622772, -0.07422882318496704, -1.3256947994232178, -0.6506866812705994, 0.6660965085029602, 0.2285960167646408, 0.6923519968986511, 0.12891963124275208, -0.8260672092437744, 0.24143999814987183, 0.2656781077384949, -0.45647963881492615, -0.22044120728969574, 1.7054109573364258, 1.0094993114471436, -0.0080269705504179, -0.7978945970535278, 0.35532137751579285, -0.38285741209983826, -0.061243556439876556, -0.992490828037262, -0.4020911455154419, -1.9511727094650269, -0.7558385729789734, -1.1756492853164673, -1.240517497062683, -1.6698307991027832, 0.4404412508010864, 0.32472720742225647, 0.5865074992179871, 1.1062774658203125, -0.7257723212242126, 0.15497106313705444, 0.8147743344306946, -0.11422304809093475, -0.43145841360092163, 0.18405850231647491, -0.9556949734687805, 0.03291880339384079, 1.0250271558761597, -0.07354063540697098, 0.6074337363243103, -0.17419521510601044, 0.18879860639572144, -1.1143397092819214, 0.6088008284568787, 1.340967059135437, 0.17788848280906677, 1.7089626789093018, 1.022536039352417, -1.1216306686401367, 0.2473883479833603, -0.8379011750221252, 0.17735891044139862, 0.02348843403160572, 0.4489116072654724, 0.7997432947158813, 0.07048217952251434, -0.21817870438098907, 0.2848806083202362, 0.6528297066688538, -0.5805715918540955, 0.718190610408783, -0.14931555092334747, 1.109121322631836, 0.6645616292953491, 1.4730055332183838, -0.7957513332366943, 1.2378636598587036, 1.5124746561050415, -1.0091149806976318, -0.6477416753768921, 0.08555657416582108, 0.456198126077652, 0.3472839891910553, -0.24844178557395935, -2.2116427421569824, -1.0817759037017822, -0.12735086679458618, 0.07569874823093414, 0.2403738796710968, -0.19156362116336823, 1.1265769004821777, 0.48415473103523254, -0.10444947332143784, -0.2684473991394043, -0.23992782831192017, 0.283479243516922, 0.45010438561439514, -0.34928786754608154, -0.3353064954280853, -0.8859100341796875, -0.9985569715499878, -0.1475592404603958, -1.3342596292495728, 1.256350040435791, -0.07525577396154404, 0.8879675269126892, 0.2802339196205139, -0.7213994860649109, -1.0035420656204224, -0.19629240036010742, -0.014507443644106388, -0.14890974760055542, 0.1822807639837265, 0.5543432235717773, -0.007928332313895226, -0.14359143376350403, 0.6295278668403625, 0.24063850939273834, 0.8186723589897156, 0.9028465747833252, -0.7324555516242981, -1.0844879150390625, -0.8507956266403198, -0.5591482520103455, -0.41352009773254395, -0.17890837788581848, -0.02791900560259819, -2.0254993438720703, 0.06856916844844818, -0.8198924660682678, 0.5565029978752136, -0.09078503400087357, 1.0467153787612915, 0.5435042381286621, 1.129137635231018, -1.303659200668335, -0.9783117175102234, 0.41407424211502075, 0.4003394544124603, -0.050435133278369904, 0.8107569217681885, 0.41424229741096497, -0.4272977411746979, -1.1812567710876465, -0.335692435503006, 0.7889203429222107, 0.25975799560546875, -0.5002255439758301, 0.779374897480011, -0.19190751016139984, 0.15817654132843018, 0.12229518592357635, -0.13692739605903625, 0.5601524114608765, 1.6016799211502075, 0.5809895992279053, 0.77922523021698, -0.8646694421768188, 0.05812923610210419, 0.3204222321510315, 0.09546934813261032, -0.16123612225055695, 0.3943186402320862, 1.1270196437835693, 1.0477286577224731, 0.5680301189422607, -0.36377009749412537, -1.5442659854888916, 1.0578584671020508, -0.16818346083164215, 1.0792335271835327, -0.6057335734367371, 0.5483765006065369, 1.12417733669281, 0.8161157369613647, -0.6934527158737183, 0.9965510964393616, 0.01794026605784893, -1.4544717073440552, -0.24203188717365265, -0.8190813064575195, -0.6743112206459045, -0.8792300224304199, 0.7978792786598206, 0.45917513966560364, 0.2919536530971527, -0.5510765314102173, 0.20291537046432495, -0.05448547750711441, 0.36409181356430054, -0.6183503866195679, 0.787584125995636, -1.2356512546539307, 0.6561306715011597, -0.3422267436981201, 1.0203596353530884, 1.3188732862472534, -0.8401497602462769, 0.35679343342781067, 0.49293550848960876, -0.43288958072662354, 0.9118141531944275, -0.18595387041568756, 0.520964503288269, -0.3199912905693054, 1.1051993370056152, 0.5260939598083496, -0.7036109566688538, -0.1483689844608307, 0.05934743583202362, -0.9666953086853027, 0.5551848411560059, -1.2847691774368286, -1.2567859888076782, -0.3138114809989929, 0.597435474395752, 0.23078668117523193, -0.3707454800605774, -0.06557325273752213, 0.04140177741646767, 0.05908454582095146, -0.6754120588302612, -1.001607894897461, -0.6787835955619812, -1.7431955337524414, -0.16180205345153809, 1.1625369787216187, 0.09288585186004639, -0.8013714551925659, -0.27057400345802307, 0.6878353953361511, 0.048971988260746, 0.01379728876054287, -0.9389005303382874, -0.39604252576828003, 0.5592793226242065, -0.46925318241119385, -0.5330161452293396, 1.4211058616638184, 1.0246360301971436, -0.14612901210784912, 0.7288724184036255, -0.3870348632335663, 0.20660996437072754, -0.8320403695106506, -0.41725993156433105, -0.73788982629776, -0.7573610544204712, -0.22990809381008148, 1.900831937789917, 0.6343569755554199, 0.9401215314865112, 1.3301070928573608, 0.577738344669342, -0.34388986229896545, 0.4286464750766754, 0.32011842727661133, 0.13910053670406342, -0.14104634523391724, -1.08674156665802, -0.42130085825920105, 0.29216262698173523, 0.5819978713989258, -0.41715630888938904, 0.06357663869857788, 1.5919978618621826, -0.4680856764316559, -0.7182406187057495, -0.6423327922821045, 0.48657020926475525, 0.2368844449520111, 0.905453085899353, 0.7493720650672913, 0.18507619202136993, 0.34045350551605225, 0.7136659026145935, -0.14833801984786987, 0.6673330068588257, -0.5308114886283875, -0.15480536222457886, 0.03626427799463272, -0.659200131893158, -0.40655794739723206, 0.28752049803733826, 1.5949525833129883, 0.2022964060306549, 0.03677621856331825, -0.28043845295906067, -0.1638665348291397, 0.4237262010574341, 0.2548988163471222, 1.8942588567733765, -0.021220756694674492, -0.16587062180042267, -0.2585807740688324, 1.0294926166534424, -0.11438854783773422, -0.11311853677034378, -0.21247750520706177, -0.482041597366333, -0.11007920652627945, 0.1864881068468094, -1.0214165449142456, 0.3661334216594696, 1.781312346458435, -1.1171892881393433, 0.3753640353679657, -0.7159806489944458, 0.15158306062221527, -0.18214461207389832, -0.23649270832538605, -0.12822183966636658, -0.025087231770157814, 0.5698829889297485, 0.22472600638866425, -0.7881682515144348, 0.13842491805553436, 1.4635313749313354, 0.8946242332458496, 0.6788166761398315, 0.011907320469617844, 0.06778125464916229, 0.7911579012870789, 1.4167581796646118, -0.9324143528938293, -0.538602352142334, -0.10989919304847717, 0.05705947428941727, -0.6123345494270325, -0.12088385969400406, -0.16155655682086945, 0.7304009199142456, 1.0150097608566284, 1.6988552808761597, 0.2884722352027893, 0.6731519103050232, -0.3004833161830902, 0.384555846452713, 0.4236776530742645, 0.3331579267978668, -0.17603600025177002, -0.07284131646156311, 0.49079930782318115, 0.513913631439209, 0.731105625629425, -1.5262513160705566, 0.12295378744602203, 1.1149297952651978, 0.9028966426849365, -0.013797326013445854, -1.3732361793518066, 1.0341089963912964, 1.1776275634765625, 0.26115328073501587, -0.8606221675872803, 0.0916418731212616, 0.31333136558532715, 0.6572787761688232, 0.6853534579277039, -1.9000002145767212, -1.0205044746398926, -0.2067505419254303, -0.3635753393173218, 0.7305620312690735, -0.6476185321807861, -0.7603372931480408, -0.1179334744811058, 0.1927986890077591, 0.339888334274292, 1.2442678213119507, -0.5757859349250793, -0.4849846065044403, -0.6796847581863403, 0.363785058259964, 0.4262334704399109, -0.24957144260406494, -0.33387091755867004, -0.7246129512786865, -0.6653851866722107, 1.0021883249282837, -0.2520551085472107, 0.6163634657859802, 0.19003652036190033, -0.36721059679985046, -1.0940536260604858, -0.8126782774925232, 0.2581174373626709, -0.7990174889564514, 0.013392812572419643, 0.30840185284614563, -0.8980864882469177, 0.6214499473571777, -0.5123039484024048, 0.40887975692749023, -0.10612596571445465, -0.32621920108795166, 0.30706140398979187, -1.3668389320373535, -6.481927394866943, 0.05211750790476799, 0.2836272418498993, 0.7127017974853516, 0.28894123435020447, -0.24737773835659027, -0.4655071198940277, 0.8640326261520386, -0.2234768122434616, 0.3990113139152527, -1.6657551527023315, 0.7053973078727722, 0.15504279732704163, -0.03360913321375847, 0.8584058880805969, -0.16440531611442566, 0.1441257745027542, 0.06758233904838562, -0.34633487462997437, -0.7318350672721863, -2.5452022552490234, 0.31658950448036194, -0.5452015995979309, 0.08344660699367523, -0.30773061513900757, -0.6210276484489441, 0.24384833872318268, -0.6811500787734985, -0.5035076141357422, -0.13867737352848053, 0.540990948677063, 0.5433942675590515, -0.325896680355072, 0.39348867535591125, -0.42977744340896606, -0.49102503061294556, -0.247259721159935, -0.6027392745018005, -0.6517312526702881, -0.2910304665565491, 0.6913552284240723, -0.059046629816293716, -0.568489670753479, 0.4754626452922821, -0.508895754814148, 0.12012483179569244, 1.1224840879440308, 0.20891539752483368, -0.33607739210128784, 0.596470296382904, 0.48580798506736755, -0.9423317909240723, -0.9825182557106018, 0.7545851469039917, -0.20179028809070587, -0.6627990007400513, -2.0302584171295166, -0.3720548748970032, 0.6888018250465393, -0.3691806197166443, 0.4103022515773773, 0.2902907729148865, 0.6862901449203491, -1.0528244972229004, -0.9257449507713318, -1.2699984312057495, 0.07070600241422653, 0.0009836407843977213, -0.4467598497867584, -0.4971359372138977, -0.40828534960746765, -0.27710625529289246, -0.14670349657535553, -0.5757045149803162, -0.8278768062591553, -1.015322208404541, -0.05723090469837189, 0.3912027180194855, 0.6424345970153809, 1.1663422584533691, -0.2991485297679901, 1.69223153591156, -0.12379452586174011, 0.47448909282684326, -0.645456075668335, -0.49346980452537537, -0.023497067391872406, -0.6875936388969421, -0.5930001139640808, 0.6194881200790405, -0.2466508001089096, -0.8236009478569031, -0.8709503412246704, -0.3291997015476227, -0.5551655888557434, 0.6945931911468506, 0.581526517868042, -0.8525921106338501, -1.0921375751495361, 0.9419252276420593, -1.0729814767837524, 0.6431252360343933, -0.06863068044185638, -1.1239465475082397, 0.554976761341095, -0.651531457901001, -0.6453871130943298, 0.22493723034858704, -0.018752792850136757, -1.1789703369140625, -1.8898714780807495, -0.44039854407310486, 0.4176146388053894, -1.2032326459884644, -0.5330670475959778, -1.4060570001602173, -0.5091478228569031, -0.35850682854652405, 0.8690724968910217, -1.1192597150802612, -0.3232641816139221, 0.31988081336021423, -0.6877169609069824, -0.09207426011562347, 0.9224042892456055, -0.9134101867675781, 0.19989478588104248, -0.27200567722320557, -1.294437050819397, 0.40577608346939087, -1.6196881532669067, -0.9140478372573853, 0.6835678815841675, 0.7225186824798584, -0.5563672184944153, 0.774395763874054, -0.18904224038124084, 0.6339306831359863, 0.09439720958471298, 0.42316940426826477, -0.7644683718681335, 1.175955891609192, 0.02741960436105728, -0.4784129858016968, 0.11233188211917877, 0.7705424427986145, 0.7478430271148682, -0.17271946370601654, -0.36743542551994324, 0.2896527051925659, -0.21781636774539948, 1.720483422279358, 0.8820840716362, 1.164203405380249, -0.33528321981430054, 0.599084198474884, -1.1533888578414917, -2.3437111377716064, -0.5006254315376282, -0.005026037804782391, 0.41598233580589294, 0.45782607793807983, -0.10794936865568161, 0.7279298901557922, -0.6177836060523987, -0.37110885977745056, -0.6832045316696167, 0.8551421761512756, 0.27702420949935913, 0.058342982083559036, 0.17476435005664825, 0.5538539886474609, -0.5560178756713867, -0.1328842043876648, 0.18571239709854126, -0.5678274631500244, -0.216475710272789, 1.0462437868118286, -0.04323730617761612, -1.9477390050888062, -0.944699227809906, -1.4168845415115356, 0.4460150897502899, -0.2583150863647461, -0.4180285632610321, 1.6253588199615479, 0.3023442029953003, -0.3527893126010895, 0.5256553888320923, 0.7031960487365723, -0.2824854552745819, 0.12187103182077408, -0.3563842177391052, 0.8145139217376709, -1.8554508686065674, -0.18778175115585327, -0.020646346732974052, 1.4123929738998413, -0.502490222454071, 0.18863394856452942, -0.5319784283638, 0.5348830819129944, 0.5459412932395935, 0.03904207795858383, 0.5070525407791138, -0.812140166759491, -0.187710240483284, 0.13896217942237854, -0.08986463397741318, -0.25717371702194214, -0.8353564143180847, -0.3634864091873169 ]
166
0704.0168
Paul Dempsey
Paul Dempsey and Peter Duffy
Radiative losses and cut-offs of energetic particles at relativistic shocks
10 pages, 23 figures and 2 tables. Accepted for publication by MNRAS.
Mon.Not.Roy.Astron.Soc.378:625-634,2007
10.1111/j.1365-2966.2007.11800.x
null
astro-ph
null
We investigate the acceleration and simultaneous radiative losses of electrons in the vicinity of relativistic shocks. Particles undergo pitch angle diffusion, gaining energy as they cross the shock by the Fermi mechanism and also emitting synchrotron radiation in the ambient magnetic field. A semi-analytic approach is developed which allows us to consider the behaviour of the shape of the spectral cut-off and the variation of that cut-off with the particle pitch angle. The implications for the synchrotron emission of relativistic jets, such as those in gamma ray burst sources and blazars, are discussed.
[ { "created": "Mon, 2 Apr 2007 11:20:03 GMT", "version": "v1" } ]
2009-06-23
[ [ "Dempsey", "Paul", "" ], [ "Duffy", "Peter", "" ] ]
07
[ -0.38054338097572327, 0.01638694480061531, 0.5634977221488953, 0.8312759399414062, -0.5974327325820923, 0.8034883141517639, -0.16959474980831146, -0.18776048719882965, -0.4339464008808136, 1.3242846727371216, 1.2709197998046875, -0.7546327114105225, -0.6469419002532959, 0.8031778931617737, -0.3291514217853546, -0.439319372177124, -0.6088350415229797, -1.6800079345703125, -0.8169542551040649, -0.17395992577075958, 0.04424978047609329, 0.3207794725894928, 0.5483411550521851, -0.23107431828975677, -0.49638858437538147, 0.310628741979599, 0.6183454394340515, 1.3337218761444092, 0.15056684613227844, 0.788486123085022, 0.48756372928619385, 0.2059975415468216, -1.0157724618911743, -0.8240945935249329, -0.3202618658542633, 0.41132572293281555, 0.6945220232009888, -1.015840768814087, -1.5713473558425903, -0.6520929932594299, 0.841860294342041, -1.1763060092926025, 0.9107577800750732, 0.8254093527793884, -0.40591487288475037, 0.4561033546924591, 0.3140251934528351, -0.12318994849920273, -0.6772740483283997, 1.3118021488189697, -0.07376990467309952, 1.0387150049209595, 0.623763918876648, 1.9359782934188843, 0.6023618578910828, 0.1982000321149826, 0.03488103672862053, 1.3821489810943604, -0.1808323711156845, -0.5057448148727417, 0.04913453757762909, -0.04028523713350296, 0.031472593545913696, -0.5212500691413879, -0.10088054090738297, -1.4561980962753296, 0.8562824726104736, 0.6160644888877869, 0.1570095270872116, 0.4088914096355438, -1.164677619934082, -0.23683075606822968, -0.178279846906662, -1.0801843404769897, -1.056898832321167, -0.4951471984386444, -0.2632546126842499, -0.43547841906547546, 0.8499253988265991, -0.35374587774276733, -1.0025535821914673, 1.4712116718292236, -0.7782512903213501, -1.2077385187149048, -0.3017241656780243, -0.7484374642372131, -0.5514000654220581, 0.5448957681655884, -0.619785726070404, -1.435289978981018, -0.728413462638855, -0.4026549458503723, 0.5471504926681519, -0.4483617842197418, 0.3279210031032562, 0.19685865938663483, -0.9627897143363953, -0.7097467184066772, 0.4179592728614807, -0.7872800230979919, -0.095539391040802, 0.388661652803421, -0.3375437557697296, 0.38482168316841125, -0.43565264344215393, 0.743963360786438, -0.610034167766571, 0.706231951713562, -0.84199059009552, 0.5745875835418701, 0.10876689106225967, -0.2937071621417999, -0.9240662455558777, 0.9395406246185303, 0.3251620829105377, -0.022662460803985596, -0.359883189201355, -0.6093879342079163, -1.7732594013214111, 0.3876867890357971, -0.6334547996520996, 0.4080565571784973, 0.03439943119883537, -0.2570781707763672, 1.6779258251190186, -0.15577282011508942, -0.14868585765361786, -0.08184298872947693, 0.3740311563014984, -0.351866751909256, -0.7816820740699768, -0.5366417169570923, 0.023771287873387337, 1.1022686958312988, 0.482667475938797, -0.4896507263183594, -0.8516190648078918, -0.5898037552833557, 0.3827875554561615, 0.29202592372894287, -0.31905120611190796, -0.7516493201255798, -0.8801180720329285, 0.7091844081878662, -1.4656085968017578, 0.17541323602199554, -0.4044474959373474, 0.6991211175918579, 0.1013977974653244, 0.27608609199523926, -0.45989811420440674, -0.39254021644592285, 0.10415476560592651, 2.1844611167907715, 0.9045360088348389, 0.10321399569511414, -0.21628093719482422, 1.8747131824493408, -0.20689146220684052, 0.475288450717926, 1.2884784936904907, -0.5125163197517395, 1.0963467359542847, -1.4069801568984985, -0.26162073016166687, -1.4793708324432373, 0.4049948453903198, 1.1815581321716309, 0.0617983378469944, -0.3164903223514557, 0.9550381898880005, -0.3017847239971161, 0.33529746532440186, 0.5681586861610413, -0.5161440968513489, -0.3768257796764374, -0.2540084421634674, -0.5832765698432922, -0.45262983441352844, 0.6731786131858826, 1.143584132194519, 0.5979394912719727, -0.29677456617355347, -0.9450173377990723, 0.17899931967258453, 0.2317391037940979, 1.1036733388900757, -1.0824830532073975, -0.5060221552848816, 0.16575287282466888, 0.3032202124595642, 0.11798280477523804, -0.20403411984443665, -0.1537165641784668, -0.964549720287323, -0.3301922082901001, -0.10900169610977173, 0.21335460245609283, 0.32404905557632446, 0.18566974997520447, -0.3812977373600006, 0.17959564924240112, -0.22495095431804657, 0.05083749443292618, 0.3302910327911377, 0.9264082312583923, 0.1898503452539444, 0.49802878499031067, 0.05174371972680092, 1.2044016122817993, -1.3543471097946167, 0.4023526608943939, -0.30494773387908936, -0.16564610600471497, 0.830062210559845, -0.21514511108398438, -0.12209132313728333, -0.5994876027107239, -0.04826754704117775, -0.10635150969028473, 0.2827056646347046, 0.675046443939209, 0.6875342726707458, 1.1117138862609863, -0.6960160732269287, 1.2099130153656006, 0.678618311882019, 0.20310074090957642, -0.22611607611179352, 0.3806906044483185, 0.5498179197311401, -0.93321692943573, -0.11729150265455246, -0.2460569143295288, 0.3341594636440277, -0.1275315284729004, -0.9689813852310181, 0.008809462189674377, -0.39570552110671997, 0.21270696818828583, 0.01908264495432377, 1.6064711809158325, 0.3487033247947693, 0.5657207369804382, -0.15113845467567444, -0.10339682549238205, 0.8836485743522644, -1.6072216033935547, 0.6770395636558533, -0.3248128592967987, 0.6997637748718262, 0.012242760509252548, -0.20734567940235138, 0.24070625007152557, 0.9828661680221558, 0.12185540050268173, -0.213409885764122, -1.1219956874847412, -0.14406231045722961, 0.18284431099891663, -0.09672476351261139, 0.6067224740982056, -0.1311330795288086, -0.18547560274600983, -0.03866307809948921, -0.24200238287448883, 0.4167836010456085, -0.5386895537376404, -2.085264205932617, -0.47646364569664, -1.208622932434082, 0.6195429563522339, 0.12148863077163696, -1.8444938659667969, 0.9255300164222717, -0.5815663933753967, 0.780536949634552, 0.1397961527109146, -0.4685252904891968, -0.7930481433868408, 0.019985726103186607, 0.5188800692558289, -0.46015238761901855, 1.3835827112197876, 0.36693552136421204, -0.02495560795068741, 0.6647714376449585, 0.7891016602516174, 1.499632477760315, 0.04005259647965431, 0.25266149640083313, -0.018284140154719353, -0.5447027683258057, -0.8798568844795227, 0.2353607416152954, 0.22646847367286682, -0.6498826146125793, 0.1349056363105774, 0.07339642941951752, -0.6616274118423462, 0.8724961876869202, 0.37712550163269043, -0.03878872096538544, 0.5246902704238892, 1.1831953525543213, -0.12059245258569717, -1.3250555992126465, 1.2709604501724243, -0.44125548005104065, -0.4606761634349823, -0.3236706852912903, -0.302432119846344, -0.24788245558738708, 1.9775168895721436, 0.25888514518737793, -0.9122995138168335, 0.6109107136726379, -0.0655793622136116, -0.3231792747974396, -0.22320502996444702, 1.104885220527649, -0.16908079385757446, -0.8794888854026794, 1.3143776655197144, 0.1688162237405777, 0.6849284172058105, 1.1971455812454224, 0.013303432613611221, 0.19945482909679413, -1.1863842010498047, -0.23324933648109436, 0.050776079297065735, -0.21312415599822998, 0.16517791152000427, 0.028554847463965416, -0.5150397419929504, 0.01745220646262169, 1.1716443300247192, 1.1115938425064087, -1.1401798725128174, -1.4197068214416504, 1.6172029972076416, 0.23733676970005035, 1.3653335571289062, -1.116866946220398, 0.15993115305900574, -0.2931269407272339, -0.16279076039791107, 0.5623716711997986, -1.377587080001831, -2.1797988414764404, -0.31115612387657166, -1.152740478515625, -0.582385241985321, 0.06293169409036636, 0.24593356251716614, 0.6131734251976013, 0.38111719489097595, -0.2359469085931778, -0.5143899321556091, -0.9558620452880859, -0.12877142429351807, -0.10519105195999146, 0.06087852269411087, 0.1275327503681183, 1.2566723823547363, -1.1586759090423584, 0.939146101474762, 0.42881104350090027, 0.13176389038562775, -1.6216920614242554, 0.21011875569820404, -0.6563935279846191, -0.25029608607292175, -1.6880208253860474, -0.04120858013629913, 0.3967374265193939, 0.47443872690200806, -0.008106227964162827, -0.3708118796348572, -1.5017727613449097, -0.5030012726783752, 0.7305430173873901, 1.0779149532318115, 0.215082049369812, -1.4256539344787598, -2.394055128097534, 0.48315346240997314, -0.07978726923465729, 0.49301692843437195, -0.33071330189704895, 0.09638883173465729, -0.07569915801286697, -0.5221396088600159, 0.37328067421913147, 0.6012610793113708, -0.10765305906534195, 0.4230055809020996, 0.8981721997261047, -0.648944616317749, 0.45449215173721313, -0.2083442211151123, -0.37486571073532104, -0.5959920287132263, -0.2914697527885437, -0.19310535490512848, -0.3777131736278534, -0.06850109249353409, 1.260844111442566, -1.0318591594696045, 0.4896394610404968, -0.06626994162797928, 0.5875805020332336, -0.4714730978012085, 1.2501840591430664, -0.13915443420410156, -1.643976092338562, 1.420184850692749, -0.4675167202949524, -0.2551227807998657, 0.5210890769958496, 0.547550618648529, 0.6822192072868347, 1.0967692136764526, 0.303872287273407, 0.22033368051052094, 0.4006766378879547, 0.3449586033821106, 0.0979369506239891, 0.3915642499923706, 0.07895798981189728, -1.021865725517273, -1.2426515817642212, -0.42223745584487915, 0.8697710633277893, -0.8992546796798706, 0.14046365022659302, 0.18622688949108124, -0.1591535359621048, -0.010366919450461864, -0.052504535764455795, -0.4655192196369171, 0.1654292345046997, 0.19344820082187653, 0.005547063425183296, 0.031670644879341125, -0.13069330155849457, 0.13956230878829956, -0.0027984038460999727, 0.6316789984703064, 0.5302214026451111, 0.11213601380586624, -0.8131378889083862, -0.4006386697292328, -0.7811128497123718, -1.466437816619873, -0.6350954174995422, 0.34153416752815247, -1.0106574296951294, 0.08850043267011642, -0.07316786795854568, 0.8330244421958923, -0.2972944378852844, -0.7509956359863281, -0.12498477846384048, 0.5215275883674622, 0.9893779158592224, -0.19885414838790894, -1.0163334608078003, 0.12962982058525085, 0.9250232577323914, 0.18447475135326385, 1.4706497192382812, -1.235944151878357, -1.2493340969085693, 1.9138152599334717, -0.018954943865537643, 0.3041701316833496, 0.6479869484901428, -1.0088690519332886, 1.641562581062317, 0.08274737745523453, 1.5434718132019043, -1.0622870922088623, -0.19915516674518585, -0.18770360946655273, -0.7942634224891663, 0.3078671991825104, -0.2534371614456177, 0.2584682106971741, 1.4709643125534058, -0.5075048804283142, 0.6002833843231201, 0.38123205304145813, -0.04208606109023094, -0.45696812868118286, -0.8344918489456177, -1.1660125255584717, 0.8181275725364685, -0.2482784390449524, 0.46463459730148315, 0.5297222137451172, 0.04604576155543327, -0.5120242834091187, -0.7921576499938965, -0.16154657304286957, -0.6225619316101074, -0.015860429033637047, -0.14138956367969513, -0.7747630476951599, -0.18480472266674042, 1.2183854579925537, 1.6452751159667969, 0.8710305690765381, 0.8876411318778992, -0.688728928565979, -0.5212773084640503, -2.8059163093566895, -0.8173076510429382, -0.1304156482219696, -0.2571980655193329, -0.24148567020893097, -0.23867785930633545, 0.20474354922771454, -0.27143657207489014, -0.06967416405677795, -0.6948457956314087, -0.6719905734062195, -0.03328513726592064, 0.45008376240730286, -0.6500606536865234, -0.3780032992362976, -0.7735733985900879, -0.4779784679412842, -0.9559838771820068, -0.8756554126739502, 0.6741682291030884, 0.15373562276363373, 0.6844183802604675, -0.36608701944351196, -0.8765473961830139, -0.4747781753540039, 0.1774030327796936, -0.30361422896385193, -1.3031257390975952, 0.031454771757125854, 0.48372718691825867, -0.38673660159111023, 1.0831576585769653, 0.1945437490940094, -0.28654831647872925, -0.4712230861186981, -1.0147943496704102, -0.4162118136882782, 0.7173786163330078, 1.068265676498413, -7.2703166007995605, -0.09637123346328735, 0.7857678532600403, -0.38283658027648926, 0.3286381959915161, -0.25282031297683716, -1.8583732843399048, -1.0978418588638306, -0.11278101801872253, -0.4801519513130188, 0.928210437297821, 0.3096618950366974, 0.27446499466896057, -0.308464378118515, -0.05156146362423897, -0.21865017712116241, -0.9720055460929871, 0.09117314219474792, -0.8425415754318237, -0.7684299945831299, -0.6070268154144287, 0.6364716291427612, -0.72344571352005, -1.2114368677139282, -0.31151196360588074, 0.491945743560791, 0.289022296667099, -0.26235684752464294, 0.6892597079277039, 0.02264421060681343, -0.1757378727197647, 1.7079964876174927, 0.29051440954208374, 0.5017487406730652, -0.42966973781585693, 0.6033166646957397, -0.7325600385665894, 0.7691741585731506, 1.653954267501831, -1.5051593780517578, -0.4418344795703888, 0.5583624839782715, -0.11707096546888351, 0.988577663898468, 0.3793773949146271, -0.4974360466003418, 0.9464071989059448, -1.084309458732605, 0.7615357041358948, -0.3903743326663971, 0.541329026222229, -0.8780535459518433, 0.5861647129058838, 0.723381519317627, 0.7323173880577087, 0.2092158943414688, -0.680536150932312, 0.15119153261184692, -0.7263764142990112, -0.1068599596619606, 0.1482911854982376, -0.4490368366241455, 0.12477012723684311, -1.0236961841583252, 0.1886574774980545, -1.4576233625411987, -0.06972674280405045, 0.044972896575927734, -0.5833213925361633, -0.09421804547309875, 0.16676291823387146, 0.3185664415359497, 0.42020517587661743, 0.536279022693634, -0.25669974088668823, 0.15641537308692932, 0.9267149567604065, -0.02371639758348465, 0.0864773616194725, -0.6430538892745972, 1.7455195188522339, -0.4173556864261627, -0.35696327686309814, 0.11228290945291519, -0.2739596664905548, -0.22062978148460388, -0.9808624982833862, 0.11184658855199814, 0.4653254747390747, -1.2741855382919312, 0.8137627840042114, -0.030500439926981926, 0.06812569499015808, -1.1963906288146973, -1.6559017896652222, 0.5679464936256409, -0.7605398893356323, -0.48801788687705994, -1.5591434240341187, 0.15302102267742157, -1.0224168300628662, -0.020045366138219833, 0.4292014241218567, 0.20341582596302032, -0.3709559738636017, 0.6536250114440918, -0.9642317891120911, -0.8760833740234375, -0.13375447690486908, 0.26766613125801086, 0.9017685651779175, -0.25070956349372864, -0.5504140853881836, -0.4716288149356842, -0.6796137690544128, -0.9570404887199402, -0.739705502986908, 0.18102888762950897, -0.2921149730682373, 0.4020501673221588, 0.6977851390838623, 0.9802500009536743, -0.498449444770813, 0.7106925249099731, 1.079458236694336, -0.015855204313993454, -1.2037042379379272, -0.338544636964798, -1.1272681951522827, -0.7962168455123901, 0.04387906938791275, -0.09815718233585358, -0.1778019815683365, 0.45953768491744995, -0.29737192392349243, 0.034892044961452484, 0.43284693360328674, -0.22547779977321625, -0.744055449962616, -0.7861623167991638, 0.10471806675195694, -1.436557412147522, 0.09936728328466415, -0.31587353348731995, -0.005839858669787645, -0.061525821685791016, -0.6042225956916809, -0.21628788113594055, -0.8755946755409241, -0.31077268719673157, 1.1933120489120483, 0.4988352358341217, -0.4544038474559784, 1.0062745809555054, -0.8198140263557434, 0.25681936740875244, -0.2561052143573761, -1.1276936531066895, -0.04284466430544853, -0.04269256070256233, 0.5024892687797546, 1.6458287239074707, -1.1833961009979248, 1.5294215679168701, -0.1358690708875656, -0.3978452682495117, 0.4081864058971405, 0.7404998540878296, -0.5889671444892883, 0.9277049899101257, 0.3123238682746887, -0.12166693061590195, -0.7965824007987976, 0.10084780305624008, 0.007944156415760517, -0.030866844579577446, 0.2084047943353653, 0.6309717893600464, 0.3342396914958954, -0.6599855422973633, -0.7929677963256836, 0.3811611533164978, 0.3142350912094116, 0.3055902123451233, 0.555029571056366, 1.6510093212127686, -0.28136056661605835, -0.3674103915691376, -1.3306270837783813, -0.3499019742012024, -0.04448608681559563, -0.8994460105895996, -1.1060981750488281, -0.427170068025589, -0.8967629671096802, -0.8878896832466125, -0.33694082498550415, 0.6951997876167297, 0.6950701475143433, -1.1038079261779785, -2.2584877014160156, 1.993334174156189, 1.2698911428451538, 0.4539633095264435, 0.33099594712257385, 0.12381155788898468, 0.9934797883033752, 0.5567775964736938, 0.45428118109703064, -1.0425899028778076, -0.301564484834671, -0.5082662105560303 ]
167
0704.0169
Giorgio Calucci
Giorgio Calucci
Very strong and slowly varying magnetic fields as source of axions
8 pages, no figures
Phys.Rev.D75:097303,2007
10.1103/PhysRevD.75.097303
null
hep-ph
null
The investigation on the production of particles in slowly varying but extremely intense magnetic field in extended to the case of axions. The motivation is, as for some previously considered cases, the possibility that such kind of magnetic field may exist around very compact astrophysical objects.
[ { "created": "Mon, 2 Apr 2007 11:10:15 GMT", "version": "v1" } ]
2008-11-26
[ [ "Calucci", "Giorgio", "" ] ]
07
[ -0.8908212184906006, -0.3236428201198578, 0.6699374318122864, -0.5437347292900085, 0.9312532544136047, -0.18378078937530518, 0.7060642242431641, 1.4664621353149414, 0.4453696012496948, 0.5107443332672119, -0.8138655424118042, -0.2090659886598587, 0.06273732334375381, -0.2870299220085144, -0.19826187193393707, 0.931850016117096, -0.7459258437156677, -1.7143957614898682, -1.5326827764511108, 0.3321792781352997, -0.1172235906124115, -0.057728111743927, -0.7130430936813354, -0.41992440819740295, -0.33904674649238586, 0.10933417081832886, -0.5102707147598267, 0.3821626603603363, -0.05175457149744034, 0.4431181252002716, -0.8040950298309326, 0.5786186456680298, -0.5293447375297546, 0.31427595019340515, 0.5999161601066589, 0.4395255744457245, 0.18836964666843414, -2.0414540767669678, -1.0700438022613525, 0.48283571004867554, 0.969096839427948, 0.5929298400878906, 0.2867482006549835, 0.41146013140678406, -1.0366511344909668, -0.7419126033782959, 0.9945686459541321, -0.4129493236541748, 0.822800874710083, 0.05600687861442566, 0.7255956530570984, 1.6755608320236206, -0.13055963814258575, 1.2899290323257446, 0.8751639127731323, 0.46539345383644104, -1.013424277305603, -0.1602933555841446, 0.3352029025554657, 0.36901652812957764, -0.12406989932060242, -0.1456548273563385, 0.28099554777145386, 0.8229389190673828, -0.9467239379882812, -0.20579218864440918, 1.315002679824829, -0.2565443217754364, -0.5674445629119873, 0.7686786651611328, -0.5769318342208862, 0.40996646881103516, -0.5224639177322388, -0.489674836397171, -1.1299060583114624, -0.4452281594276428, -0.5946881771087646, -0.31164291501045227, 0.6648996472358704, 0.21770089864730835, -0.05109674111008644, 0.7807822227478027, -0.716105580329895, -1.5101158618927002, -0.788867175579071, -0.26503634452819824, 0.5897385478019714, 0.7073295712471008, 0.8331860899925232, 0.023720543831586838, -0.2060912400484085, -1.9230839014053345, 0.530762791633606, -0.250826895236969, 1.9760160446166992, -0.3716874420642853, -1.5479458570480347, -0.2196408063173294, 0.10468954592943192, 0.32459747791290283, 0.35163167119026184, 0.6920764446258545, -0.29420092701911926, 0.27704066038131714, -0.9579145312309265, 0.34563589096069336, -0.8164519667625427, -0.6231400370597839, -1.565822958946228, 0.6311753988265991, 1.176430344581604, -0.7986984252929688, -0.41057997941970825, 0.023439116775989532, -0.9543496370315552, 0.27114439010620117, -0.4705140292644501, -0.3993756175041199, 0.8490031957626343, 0.10346637666225433, -0.0969671979546547, 0.6286423802375793, -0.08133560419082642, -0.1950923353433609, 1.1893784999847412, 0.24103495478630066, -0.7552617192268372, -1.5756676197052002, 0.10182289034128189, 0.2626713216304779, 0.8688629865646362, -0.6408610343933105, 0.11669254302978516, 1.1103636026382446, 0.8159864544868469, 0.3842341899871826, 0.1390155702829361, -0.6799366474151611, 0.49423447251319885, -1.065972924232483, 1.1122589111328125, -0.3851065933704376, -0.6869075894355774, 0.9017213582992554, 0.41241779923439026, 0.6924309730529785, -1.0147701501846313, 0.39260268211364746, -0.15133926272392273, -0.06402707099914551, -0.13172373175621033, -0.14590467512607574, 0.5519922375679016, 0.7529630661010742, -0.43730106949806213, -0.02917785756289959, 0.08687924593687057, 1.3164658546447754, -0.9233702421188354, -0.3649115562438965, -0.15189534425735474, -0.051112182438373566, -0.3049265742301941, -0.3193497955799103, 0.44411638379096985, -0.2564842402935028, 0.17126525938510895, 0.401644766330719, -0.5612756609916687, 0.3604268729686737, -0.6835995316505432, -1.061668872833252, -0.7547831535339355, 0.09915339201688766, -0.4197607934474945, 0.6814332604408264, 1.1696202754974365, 0.0776858702301979, -1.2151790857315063, 0.24114400148391724, 0.8249648809432983, -0.016746563836932182, -0.28996139764785767, -1.154916763305664, -0.234588161110878, -0.7809190154075623, 0.8176543712615967, -1.0838184356689453, 0.007300170604139566, -0.5413283705711365, -1.3917969465255737, 1.1220033168792725, 0.010174298658967018, -0.9876464605331421, -0.3602219521999359, 1.0575178861618042, 0.90412837266922, -0.18683938682079315, -0.79936283826828, -0.2609702944755554, -0.5653172135353088, 0.04196839779615402, 0.7409877181053162, -0.3821955621242523, -1.0016019344329834, -0.34707117080688477, -0.12998901307582855, -0.13412348926067352, 0.2359389215707779, 0.8994690179824829, -1.6765083074569702, -0.25106024742126465, 0.23977451026439667, 0.006184314843267202, 0.25819310545921326, 0.030212048441171646, 0.04597318544983864, -0.8189160227775574, -1.0412249565124512, 0.5047717690467834, -0.6169919967651367, 1.4229190349578857, 0.07000856846570969, 1.0076978206634521, -0.8364725708961487, 0.5960963368415833, 1.386641263961792, 0.22884005308151245, -0.09642042219638824, -1.1255861520767212, -0.16549086570739746, -1.1076688766479492, 0.08538404852151871, -0.5102652311325073, 0.2702513337135315, -0.9214635491371155, -0.5690335631370544, -0.5576816201210022, -0.8618637919425964, 0.4445018768310547, 0.6396891474723816, 0.7554611563682556, -1.2231217622756958, -0.8292052149772644, -0.4871015250682831, 0.0996382012963295, 0.34957167506217957, -0.5703203082084656, 0.7698310613632202, 0.4006355106830597, -0.2518709897994995, -0.2031220644712448, 0.21844658255577087, -0.1367741823196411, 0.6117205023765564, 0.15113189816474915, 0.09135408699512482, -0.5794008374214172, -0.9115896224975586, 0.04094675928354263, -0.018944649025797844, -0.9511042833328247, -0.43691614270210266, -0.44732749462127686, -1.1405467987060547, -0.5039336085319519, 0.38928550481796265, -0.0635950043797493, -1.0416042804718018, 0.18934057652950287, -0.0039054143708199263, -0.5179378390312195, 1.2479301691055298, -0.15038873255252838, 0.49820634722709656, -0.5734774470329285, 0.5964291095733643, -0.10848038643598557, -1.5647348165512085, -0.5540141463279724, -0.45914238691329956, 1.1082696914672852, -0.42240577936172485, 0.7652056217193604, -0.09616149216890335, -1.1503702402114868, 0.1928621381521225, 0.9361749291419983, 0.27107083797454834, 1.7221182584762573, -0.9555356502532959, -1.1441131830215454, -0.4613078534603119, 0.7653722167015076, 0.2983805239200592, -0.42517539858818054, -0.10483288764953613, -0.9043607711791992, -0.3559390902519226, -1.0873029232025146, -0.7023557424545288, 0.49415552616119385, -1.1626389026641846, 0.23031675815582275, 1.487212896347046, -0.2729159891605377, 0.7309043407440186, 0.25347140431404114, 0.44157856702804565, -0.6368433833122253, -0.06797552108764648, 0.07315164059400558, -0.009411239065229893, 0.22946064174175262, 0.6260054111480713, -0.10440061241388321, -0.5190529823303223, 0.09362588077783585, -0.7699135541915894, -0.1775347888469696, -0.052731167525053024, 0.8627498745918274, 0.6172915101051331, -0.061020027846097946, -0.8298287987709045, -0.5538082122802734, 0.8062809109687805, -0.37301430106163025, -0.3238954544067383, -0.7308387160301208, -0.7333011627197266, 0.17803317308425903, 0.5965138077735901, 1.2782244682312012, -0.9944685101509094, -0.6607499718666077, -0.28791844844818115, 1.0354667901992798, 1.7559624910354614, -0.45292919874191284, -1.7372732162475586, 0.768151044845581, -0.39623400568962097, 0.6520111560821533, -0.5685097575187683, -0.22534017264842987, -0.10483366996049881, 0.3301997184753418, -0.8859249353408813, -0.6035282611846924, -0.781742513179779, -0.8002645373344421, -1.7900482416152954, 0.5454331040382385, -0.49770909547805786, -0.06607063114643097, 0.8696399927139282, 0.723164439201355, 0.4051932394504547, -0.06934373080730438, 0.19183002412319183, 0.4440465271472931, 0.27330559492111206, 0.31266728043556213, 0.2248699963092804, 0.23646844923496246, -0.5758086442947388, 1.0224424600601196, -0.18400195240974426, -0.43034470081329346, -0.6572507619857788, -0.7134020328521729, -1.3598331212997437, -0.6899588108062744, -0.4029248058795929, -0.15127114951610565, 0.2675061821937561, 1.0477321147918701, -0.20496533811092377, -0.2975928783416748, -0.028248751536011696, 0.39513763785362244, 0.8833174705505371, -0.1605389267206192, -0.6367425918579102, 0.9941959381103516, -0.05042688921093941, -0.2681800425052643, -0.2648322284221649, 0.7347477674484253, -0.5226926207542419, 0.5577075481414795, 0.19014979898929596, -1.1218911409378052, 0.001730175456032157, 1.8940284252166748, -0.6411752700805664, 1.2794289588928223, 0.36823228001594543, 0.03358086571097374, 0.7764172554016113, 0.2134466916322708, -0.31432539224624634, -0.738368809223175, -0.5124673843383789, 0.05809657648205757, 0.4452037513256073, -0.5886653661727905, 1.1801811456680298, -0.0167032852768898, 0.02302827686071396, 0.19712679088115692, -0.9971352219581604, 0.1732928603887558, 0.5906022787094116, -0.4680371880531311, -0.568731427192688, 1.2912015914916992, -0.7482276558876038, -1.0472664833068848, 0.03371218964457512, -0.8717449903488159, 0.2529369294643402, 1.6284359693527222, -0.2336290180683136, 0.9167996048927307, -0.186482772231102, 0.2423553764820099, -0.4783570468425751, -0.7949956655502319, -0.3079506754875183, -0.803960919380188, -0.2622445225715637, 0.718654453754425, 0.2369096279144287, 0.059528205543756485, -0.1796523779630661, -0.29021912813186646, -0.46930721402168274, -0.10205688327550888, -0.2606807351112366, 0.010150030255317688, -0.07241043448448181, -0.5472700595855713, -0.18669290840625763, 0.9123916029930115, -0.1582251489162445, 0.4520920217037201, -0.35000789165496826, 0.24953483045101166, -0.7394433617591858, 0.5074747800827026, 0.12310418486595154, -0.10304500162601471, -0.09736330807209015, 0.049740348011255264, 0.25359058380126953, 0.681337296962738, -1.3469234704971313, 0.4542131721973419, 0.5850542187690735, 0.9741085171699524, 0.4348643720149994, -0.6473653316497803, 0.41075268387794495, -0.5339477062225342, 0.8698301911354065, -0.5866974592208862, -0.6731314063072205, -0.14305362105369568, 0.6952794194221497, 0.2632357180118561, -0.7155069708824158, -0.17209215462207794, -0.8942273259162903, 2.2004261016845703, 1.2608124017715454, -0.40021565556526184, -0.03878510370850563, -0.27247536182403564, 0.5243958830833435, 0.9684867262840271, 0.349148690700531, -0.5502305030822754, 0.859564483165741, 0.4139280915260315, -0.7130768299102783, 0.7326173186302185, -0.6091101169586182, 0.7661105394363403, 0.5502190589904785, -0.14207546412944794, -1.3003722429275513, 0.4394727945327759, -0.18620608747005463, -0.4778551757335663, 0.29368913173675537, -0.18330231308937073, -0.6559679508209229, -0.11762846261262894, -0.06171588599681854, -0.6150897741317749, 0.7737323045730591, -1.1757073402404785, -0.6953302621841431, -0.1741141527891159, -0.8425449132919312, 0.964866042137146, -0.3215913772583008, -0.5292797088623047, -0.03714095056056976, 0.020284555852413177, 0.35656917095184326, 1.7545380592346191, 1.5502442121505737, 0.013067822903394699, -1.3085414171218872, -2.522897720336914, 0.17932191491127014, 0.9853396415710449, -0.2688647508621216, 0.09142063558101654, 0.1370934545993805, -0.28216782212257385, 0.897957444190979, 0.201833114027977, 0.06552965193986893, -0.18323113024234772, -0.8958228230476379, 0.37827268242836, 0.05607243627309799, -0.148075133562088, 0.19845698773860931, -0.08219015598297119, -0.36842718720436096, 1.2107737064361572, -0.2744291126728058, 0.19716455042362213, 0.23630888760089874, 0.5027196407318115, -0.4111480414867401, 0.7733119130134583, -1.267263412475586, -0.28853854537010193, 0.1012817770242691, -0.37644529342651367, 0.7808495163917542, -0.6284351348876953, 0.3447120785713196, 0.015905974432826042, -0.31654372811317444, -0.07399159669876099, 0.8241773843765259, 0.5615879893302917, 0.06728608906269073, 0.4501342177391052, -8.229409217834473, 0.5987454652786255, -0.6141924262046814, 0.11304512619972229, 0.5043854713439941, -0.24117706716060638, 0.08858597278594971, -1.1461271047592163, -0.007670751307159662, 0.38666054606437683, 1.5293121337890625, 0.8283104300498962, -0.32642862200737, -0.017429737374186516, 0.9001837372779846, -0.088095523416996, -0.9617681503295898, 1.103243112564087, -1.0268012285232544, -0.25869253277778625, -0.23387949168682098, 0.5999847650527954, -0.5645621418952942, -0.666137158870697, 1.1086143255233765, -0.263009637594223, -0.5136480927467346, -0.6395404934883118, 1.1030949354171753, 0.6212788224220276, -0.8653309941291809, 0.240977481007576, -1.8780120611190796, 1.5936247110366821, -0.2494528740644455, -0.184762105345726, 0.2770431339740753, 0.6975218057632446, 0.40943077206611633, -0.6750028133392334, -0.14969533681869507, -0.3241361081600189, -0.48160791397094727, 0.8406568765640259, 0.3478220999240875, -0.22284522652626038, -0.3732753396034241, -0.09501995891332626, -0.6592974662780762, -0.32839688658714294, -1.1114565134048462, -0.2884431779384613, -1.0079253911972046, 1.1456488370895386, -0.2493652105331421, -0.1277032494544983, 0.3774765133857727, -0.2354118824005127, -1.1276021003723145, 0.359209805727005, 0.9158881306648254, -1.2013756036758423, -1.411515235900879, -0.5004340410232544, -0.6856393218040466, -0.20643769204616547, -0.3818570673465729, -0.7493471503257751, -0.029781052842736244, 0.3019188940525055, -0.4404079020023346, 0.5352911353111267, -0.2118857502937317, 0.21405252814292908, -0.9985291361808777, 0.10915303230285645, -0.19755223393440247, 1.0085946321487427, 0.16316528618335724, -0.6357249617576599, 1.3519444465637207, -0.8592408299446106, -0.19710563123226166, 1.4325079917907715, -0.30891451239585876, -0.68693608045578, -0.10037357360124588, -0.08589126169681549, 1.093845248222351, -2.568418502807617, -0.008466686122119427, 0.49384698271751404, 0.515904426574707, -0.4114041328430176, -0.4730531573295593, -0.5296270251274109, -0.16580156981945038, -0.3577413260936737, -1.8297882080078125, -0.44013628363609314, -0.663451611995697, -0.7692682147026062, -0.5021157264709473, 0.0649784728884697, 0.8620747923851013, -1.2053773403167725, 0.5366485118865967, 0.7433936595916748, 0.20448826253414154, -0.4437243342399597, 0.6182006001472473, -0.5549798011779785, -0.2988714277744293, -0.13915863633155823, 0.18930526077747345, -0.8803778290748596, -0.4800202548503876, 1.1893019676208496, -0.5233190655708313, -0.8508896827697754, 0.37039610743522644, 0.8335618376731873, -0.17573869228363037, 0.000996808405034244, -0.470830500125885, 0.32590872049331665, -1.3484004735946655, 0.2136838734149933, -0.932696521282196, 1.2860987186431885, -0.7904543280601501, -0.6137127876281738, -0.00814797542989254, 0.44519132375717163, -0.7292162179946899, -0.3460574448108673, -0.14815263450145721, 0.8904092907905579, -0.6235572695732117, -0.24156315624713898, 2.298325300216675, -0.6342052817344666, 0.3693408966064453, -0.061379045248031616, 0.0238641370087862, -0.5617362856864929, -0.8110896348953247, 1.1232608556747437, -0.13950887322425842, -0.15252718329429626, 0.31758633255958557, 0.1658540517091751, 1.4313433170318604, 1.89327871799469, -0.22680725157260895, 0.8272143602371216, -0.7802003622055054, -0.43926265835762024, 0.6260303258895874, 0.25976359844207764, 0.4185260236263275, 0.2248891294002533, -0.5170494914054871, 1.3571674823760986, -1.1059635877609253, -1.6003408432006836, 0.08936258405447006, 1.1953891515731812, -0.09868773818016052, -1.4852685928344727, -0.08103708177804947, 0.05067317187786102, -0.9676889777183533, -0.7519595623016357, -0.5811461210250854, 0.24808157980442047, 1.2037407159805298, -0.050082892179489136, 0.5458412766456604, -2.053790807723999, 0.014982807449996471, 0.10543961077928543, 0.742641031742096, 0.6228089928627014, -0.41072922945022583, 0.8086144328117371, 0.6146860122680664, 0.8480543494224548, -1.0930474996566772, 1.0449012517929077, 0.0565163791179657, -0.274583637714386, -0.7158887386322021, 0.2700991928577423, -0.6272594928741455, -0.4543827474117279, 0.03896383196115494, 0.758945643901825, 0.3727335035800934, -1.2136640548706055, 0.05209578573703766, 1.0501409769058228, 1.1124250888824463, 0.05732392892241478, 0.15274019539356232, 0.2596927285194397, 0.5137559771537781, -0.3195851445198059, 0.12437782436609268, 0.7229123115539551, 0.11660771071910858, -0.33587217330932617 ]
168
0704.0170
Daniele Fausti
Daniele Fausti, Tom T. A. Lummen, Cosmina Angelescu, Roberto Macovez, Javier Luzon, Ria Broer, Petra Rudolf, Paul H.M. van Loosdrecht, Natalia Tristan, Bernd Buchner, Sander van Smaalen, Angela Moller, Gerd Meyer, Timo Taetz
Symmetry disquisition on the TiOX phase diagram
null
Phys. Rev. B 75, 245114 (2007)
10.1103/PhysRevB.75.245114
null
cond-mat.str-el cond-mat.mtrl-sci
null
The sequence of phase transitions and the symmetry of in particular the low temperature incommensurate and spin-Peierls phases of the quasi one-dimensional inorganic spin-Peierls system TiOX (TiOBr and TiOCl) have been studied using inelastic light scattering experiments. The anomalous first-order character of the transition to the spin-Peierls phase is found to be a consequence of the different symmetries of the incommensurate and spin-Peierls (P$2_{1}/m$) phases. The pressure dependence of the lowest transition temperature strongly suggests that magnetic interchain interactions play an important role in the formation of the spin-Peierls and the incommensurate phases. Finally, a comparison of Raman data on VOCl to the TiOX spectra shows that the high energy scattering observed previously has a phononic origin.
[ { "created": "Mon, 2 Apr 2007 11:12:08 GMT", "version": "v1" }, { "created": "Tue, 30 Oct 2007 18:08:48 GMT", "version": "v2" } ]
2009-11-13
[ [ "Fausti", "Daniele", "" ], [ "Lummen", "Tom T. A.", "" ], [ "Angelescu", "Cosmina", "" ], [ "Macovez", "Roberto", "" ], [ "Luzon", "Javier", "" ], [ "Broer", "Ria", "" ], [ "Rudolf", "Petra", "" ], [ "van Loosdrecht", "Paul H. M.", "" ], [ "Tristan", "Natalia", "" ], [ "Buchner", "Bernd", "" ], [ "van Smaalen", "Sander", "" ], [ "Moller", "Angela", "" ], [ "Meyer", "Gerd", "" ], [ "Taetz", "Timo", "" ] ]
07
[ -0.02589678391814232, -0.046404022723436356, -0.03590669482946396, 0.8471521139144897, -0.008093268610537052, -0.1848621964454651, -0.9741075038909912, -0.09751944988965988, -0.5990298390388489, -0.435611367225647, 0.2292136400938034, -0.5598450899124146, -0.30203333497047424, 0.6761152148246765, -0.6662489771842957, -0.5807353854179382, 0.25741997361183167, -0.007504362612962723, 0.36097997426986694, 0.09749310463666916, 0.18058723211288452, -0.28010979294776917, 0.3144949674606323, -0.5787514448165894, -0.4946022629737854, 0.5603853464126587, -1.3842546939849854, -0.36214759945869446, -0.8799076676368713, -1.101109266281128, -0.1823742389678955, -0.009573888033628464, -0.4592466950416565, 0.5207057595252991, -0.753151535987854, -1.4897372722625732, 0.7246940732002258, -0.1501753032207489, 1.0804860591888428, -1.0367403030395508, 1.006675124168396, 1.0748075246810913, -0.7093572020530701, -0.49833768606185913, -0.4466851055622101, 0.595391571521759, -0.0966985896229744, -1.7356113195419312, -0.9179492592811584, -0.4363979399204254, -0.5078068971633911, 0.4333983361721039, 0.7574281096458435, -0.612922191619873, 0.3411305546760559, -0.6749143004417419, -1.2172391414642334, 0.5380997061729431, -0.24800719320774078, -0.31815305352211, -0.4522858262062073, -0.45591574907302856, 0.7761250138282776, 0.7511381506919861, 0.4981742799282074, 0.4190559387207031, 0.1421249508857727, -0.19180704653263092, 0.7051817178726196, 0.2030046433210373, -0.028728153556585312, -0.6339213252067566, 0.28343796730041504, 0.5151525735855103, 0.7522301077842712, 0.7239091396331787, -0.5170408487319946, -0.7422012090682983, 0.8445186614990234, 0.060449182987213135, -1.0264605283737183, 0.07260439544916153, 0.29419422149658203, 0.34647324681282043, 0.982567310333252, 0.08029738068580627, 0.893214225769043, -0.15035781264305115, 0.20701265335083008, 0.8002350926399231, 0.7636117339134216, -1.5237705707550049, 0.2764650881290436, -0.9444897174835205, 0.9160509705543518, 0.6847215294837952, -1.271296501159668, -0.8679176568984985, -0.7730000019073486, 1.4764784574508667, -0.6199126839637756, 0.09008218348026276, -0.6180680990219116, -0.5715148448944092, -0.6622507572174072, 0.8706425428390503, 0.5948458909988403, -0.4749760329723358, -0.30736541748046875, -0.40945348143577576, -0.014283019118010998, -0.7638691067695618, -0.6998586058616638, -0.4933525621891022, -0.4384588301181793, 2.113926410675049, -0.9288161993026733, 0.43413016200065613, -0.36929765343666077, 0.2793581783771515, 0.17016194760799408, -0.11978951841592789, 0.6077982783317566, 1.0367923974990845, -0.057439353317022324, -0.5881994962692261, -0.8082217574119568, 0.06782542169094086, 0.7775740623474121, -0.2448844164609909, -0.549797534942627, 0.033976588398218155, -0.6799394488334656, -0.7938374280929565, -0.38712283968925476, 1.0183963775634766, -0.4256080985069275, 0.39117372035980225, -0.9637607336044312, -0.5689877271652222, 0.12766176462173462, 0.5973860621452332, -1.171694040298462, -0.5830420851707458, 0.4962722063064575, -2.6440627574920654, -0.3492238223552704, -0.004868993069976568, 0.4096957743167877, -0.16661480069160461, 0.8630834221839905, 0.4431205093860626, 0.45900556445121765, 0.02973409742116928, -1.61680006980896, -0.6844174861907959, 1.7746608257293701, 0.6946917176246643, -0.7193242907524109, 1.1409932374954224, 2.6102712154388428, 0.7533007264137268, -0.12460073828697205, -1.2550257444381714, -0.42355355620384216, -0.2895795404911041, 0.9149417877197266, 0.25100335478782654, -0.4235168695449829, 1.378549575805664, 0.8398904800415039, 0.19444218277931213, -0.39940711855888367, 0.016675667837262154, 0.4245295524597168, -0.33418887853622437, 0.9764531850814819, -2.0099449157714844, -1.2359576225280762, 1.264222264289856, 0.6631000638008118, -0.09627511352300644, -0.2899854779243469, -0.0885787308216095, -0.05304207280278206, -0.3542293608188629, 0.5763238072395325, 0.1466178596019745, 0.6679278612136841, -0.14528490602970123, 0.26333656907081604, -0.08599372208118439, 0.12404150515794754, -0.6676128506660461, -0.2907463610172272, -0.1261948198080063, -0.5306851267814636, 1.4417567253112793, -0.6926097869873047, -1.6649352312088013, 0.07522616535425186, -0.47922635078430176, 0.21520553529262543, 0.04265806823968887, -0.9692292213439941, -0.47600382566452026, -0.5233578085899353, -0.23153385519981384, 0.34953856468200684, -0.8212339878082275, -0.39042672514915466, -0.7693256735801697, -0.8436758518218994, 0.5065743327140808, 1.0803985595703125, -1.0314868688583374, -0.6480942368507385, -1.2319997549057007, 0.04139193519949913, 0.7566957473754883, -0.2080095410346985, 0.5909157395362854, -0.7618502378463745, -0.018613262102007866, 0.6219205856323242, -0.20834310352802277, 0.20476408302783966, -0.25699281692504883, -0.10011835396289825, 0.1857704222202301, -0.2387489676475525, -1.175911784172058, 0.3560364544391632, 0.16630174219608307, -0.32348763942718506, -0.395741730928421, -0.6610831618309021, -0.44105568528175354, 0.16181164979934692, -0.3369702100753784, -0.15045283734798431, 0.10015341639518738, -0.826642632484436, 1.1652553081512451, 0.10564136505126953, -1.0322068929672241, 1.1206821203231812, -0.47431084513664246, -0.01160926092416048, -0.5225329399108887, -0.323792964220047, -0.1431177705526352, 0.22649690508842468, -0.5231151580810547, -0.8294585943222046, 1.0927438735961914, 0.2534448504447937, -0.5579347014427185, -0.11559765040874481, -0.08143206685781479, -0.45536959171295166, 0.3481624722480774, 0.2753233313560486, -0.18444183468818665, -0.2509501874446869, 0.7260396480560303, 0.11770541965961456, 0.038913968950510025, 0.5795411467552185, 0.24084004759788513, 0.6539980173110962, 0.13467852771282196, -0.21230293810367584, -0.503412663936615, 0.21322162449359894, -0.8430171012878418, -0.01879354938864708, -0.10472173988819122, -0.35860151052474976, 0.3015986382961273, 1.6485979557037354, -0.049803636968135834, 1.0926587581634521, -1.1317509412765503, 0.5118783116340637, 0.3482816815376282, 0.23598001897335052, -0.7015179395675659, 0.8891646862030029, 1.374525547027588, -0.4679294228553772, -0.06478313356637955, 0.030704030767083168, -0.6713579893112183, 0.02935410477221012, 0.7437214255332947, -0.6723125576972961, 0.5580493807792664, 0.11663652956485748, -0.18443135917186737, 1.2239793539047241, 1.342689871788025, -0.42558369040489197, 0.1249677836894989, 0.04852805286645889, -0.8097801208496094, -0.35658907890319824, 0.06924114376306534, 0.18565340340137482, -1.404295802116394, 0.669869601726532, 0.43277472257614136, -0.1261930763721466, -0.249929279088974, 2.1458702087402344, -0.8804362416267395, -0.3017793595790863, 0.19483330845832825, -0.7295051217079163, -0.7516828775405884, 0.138071209192276, -0.5547407865524292, -0.3449922502040863, -0.6480098366737366, -0.09449233114719391, -1.1189008951187134, -1.0561879873275757, 0.19824931025505066, -0.23783060908317566, 0.9797189831733704, -0.24689413607120514, 0.4635145962238312, -0.09788479655981064, 0.08403049409389496, 0.37440362572669983, -0.1293003261089325, 0.8730233907699585, 1.081623911857605, 2.427511692047119, 0.13890975713729858, -0.16475577652454376, 1.1131017208099365, 1.01727294921875, 0.692912220954895, 0.07537136971950531, -0.698188066482544, 0.6159933805465698, -0.006794363260269165, -0.24710480868816376, -0.3307904899120331, -0.43847543001174927, -0.3287649154663086, 0.9093883037567139, 0.006767604034394026, -0.007165360730141401, 0.6199412941932678, 0.48882752656936646, 0.6706260442733765, 0.8738411068916321, -0.1500771939754486, 0.4465748369693756, -0.6465184688568115, 0.28597545623779297, -0.43723875284194946, -0.19030047953128815, -0.25295212864875793, -0.05021711811423302, -0.12794119119644165, 0.08884671330451965, 0.35706910490989685, 1.8949917554855347, -0.6389852166175842, 1.320212483406067, -0.8900197148323059, -1.4680160284042358, 0.7055093050003052, -1.2095201015472412, 0.6630028486251831, 0.6542176604270935, 0.7114779949188232, 0.020679248496890068, 0.4401175081729889, 0.8793140053749084, -0.27063319087028503, 1.4935046434402466, -0.5182434916496277, -0.9687879085540771, 0.8062927722930908, 0.09285496175289154, -0.2394806444644928, -0.2470366209745407, 0.10487790405750275, 0.4367947578430176, 0.5174915790557861, 1.165164589881897, 0.6475215554237366, 1.0706759691238403, -0.4970570206642151, -0.14355814456939697, 0.33641502261161804, 0.7489094138145447, -0.17801018059253693, -0.5939399003982544, -0.3569159209728241, -0.2870709002017975, 0.19415339827537537, 0.2764606773853302, -0.5876699686050415, 0.9565321803092957, -1.0012588500976562, -0.708747148513794, 1.0970653295516968, -0.11562485992908478, -0.9143123626708984, 0.18077352643013, -0.10496209561824799, 1.3618900775909424, 0.5615630149841309, -0.7259884476661682, 0.9090006351470947, 0.10760878026485443, -0.15563279390335083, 0.19016703963279724, 0.671650230884552, 0.8796975016593933, 0.4507235288619995, 0.5331183075904846, -0.29150477051734924, 0.3099059462547302, -0.1447879821062088, -0.13693781197071075, 0.3701077401638031, -0.15743331611156464, 0.7594670057296753, 0.21113021671772003, 0.1168796494603157, 0.4842264652252197, 0.875657856464386, -0.10627485066652298, -0.42256733775138855, -0.07018189877271652, 0.22165372967720032, 0.13551199436187744, -0.8168545961380005, 0.1177465096116066, -0.8223877549171448, -1.035057783126831, 1.1081323623657227, 0.11461258679628372, -0.3659228980541229, 0.30365851521492004, 0.6100611090660095, -1.0506361722946167, -0.9188316464424133, -0.4638420045375824, 0.30734017491340637, 0.43591436743736267, 0.4487302303314209, -0.3100133538246155, -0.5181637406349182, -0.464625746011734, -0.8730031847953796, 0.24864241480827332, -0.8385746479034424, 0.1310730278491974, 0.015264653600752354, 0.6783552169799805, -0.5009520053863525, 1.0629231929779053, 0.01917526125907898, 0.787418007850647, -0.36500534415245056, 0.7955355048179626, 0.14914922416210175, -1.0649702548980713, -1.2296345233917236, 0.24155636131763458, 0.7561560869216919, -0.20684289932250977, -0.42458829283714294, -0.16729095578193665, 0.547468364238739, -0.39252105355262756, 0.4985409379005432, -0.3255791962146759, -0.9159207344055176, 0.11461131274700165, 0.42012691497802734, -0.7239284515380859, 0.7607041001319885, 0.16772042214870453, -1.3749459981918335, -0.8663525581359863, 0.4898265302181244, 0.718193531036377, 1.36734938621521, 0.02317751757800579, -0.4790424108505249, 0.7958311438560486, -0.9036888480186462, -0.8441764116287231, -0.4610403776168823, -0.02879701554775238, -1.4744088649749756, -0.7959398627281189, -0.3869173228740692, -0.9114028811454773, -0.19354838132858276, -1.1188080310821533, 0.9737144112586975, -0.2834090292453766, -0.337483286857605, -0.1530906707048416, 0.8474719524383545, -1.654833436012268, -0.9178930521011353, -1.3421096801757812, -2.7448654174804688, 0.36881890892982483, 0.6718522906303406, 0.706004798412323, -0.34466832876205444, 0.3051671087741852, -0.4034445583820343, -0.5968460440635681, 0.0442148819565773, -0.5192034840583801, 0.6910470128059387, 0.8631704449653625, 0.9579514861106873, -0.23855926096439362, 0.6016890406608582, -0.007338465191423893, 0.19480960071086884, 2.159780740737915, -0.07654903084039688, 0.5766539573669434, -1.0004428625106812, -0.9908570051193237, 0.8988583087921143, -1.1926406621932983, -1.1970056295394897, -0.3067203164100647, -1.1392441987991333, 0.028092695400118828, 0.3457085192203522, -0.5352318286895752, -0.5975449681282043, -0.3551408648490906, 0.44889187812805176, 0.13878300786018372, -1.3610953092575073, -1.8445255756378174, 0.5848685503005981, 0.25624921917915344, -0.15660405158996582, -7.216878890991211, 0.20431925356388092, -0.2989487946033478, 0.23541250824928284, 0.9367071390151978, -0.7024881839752197, -0.21503472328186035, -0.9574387073516846, -0.24330443143844604, 0.4262045621871948, 0.32630276679992676, 0.3897787034511566, -0.1896800398826599, -1.381847858428955, 1.3355169296264648, 1.1533727645874023, 0.16429275274276733, -0.22889529168605804, -0.4124442934989929, -1.5445656776428223, -0.5001340508460999, -0.44487762451171875, -0.34061694145202637, 0.6870217323303223, 1.5381321907043457, 0.18113641440868378, 0.011944818310439587, -0.27755826711654663, -0.21312688291072845, 1.1351100206375122, -0.08589442074298859, -0.19889648258686066, 0.23313793540000916, -0.4967397153377533, 0.18096652626991272, -0.7426435351371765, 1.1418983936309814, 0.892387866973877, -0.026853883638978004, -0.8075384497642517, 0.46868568658828735, -0.5809511542320251, 0.9636110663414001, -0.8379001021385193, 0.11982076615095139, 0.14409127831459045, -0.2461865097284317, 0.2769356966018677, 0.28904223442077637, 0.22998227179050446, 1.5894194841384888, 0.21985509991645813, 0.10721694678068161, 0.8563546538352966, -2.331050395965576, -0.1708957701921463, -0.5343797206878662, 0.06214215233922005, -0.11898951232433319, -1.1498960256576538, -0.5161586999893188, -0.23304912447929382, -0.5370758771896362, -1.5273213386535645, -1.0496599674224854, 0.6159201860427856, -0.6621373891830444, 0.8102662563323975, 0.704601526260376, 0.17412737011909485, 0.6072825789451599, -1.6011167764663696, -0.04818359389901161, 0.22241517901420593, 0.0740782767534256, 0.3883945345878601, -0.04649548977613449, -0.8521018028259277, 0.8971797823905945, -0.5069430470466614, -0.0043569509871304035, 1.8066800832748413, 0.4145679771900177, -0.11148761957883835, -0.3010702431201935, -0.89408278465271, -0.16588658094406128, -1.5577223300933838, -0.32790613174438477, -0.06896091997623444, -0.9314184784889221, -0.6031330823898315, -0.875006914138794, -0.19194276630878448, -0.10005592554807663, 1.2939459085464478, 0.4085603356361389, -1.165689468383789, 0.22007055580615997, 0.572239100933075, -1.5549674034118652, -0.6965911388397217, -1.457039713859558, 1.407549500465393, -1.1217055320739746, -0.46491846442222595, -0.6584078669548035, 0.4833424389362335, 0.25601089000701904, 0.6463687419891357, 0.3785949647426605, 0.006098511628806591, 0.8410097360610962, 0.051180578768253326, -0.8396682143211365, 1.1664339303970337, 0.3344098627567291, -0.09794186800718307, -1.2380571365356445, 1.6299406290054321, -1.2571630477905273, 0.8543862700462341, -1.2191200256347656, 0.20580986142158508, -0.2625126540660858, 0.4459681212902069, 0.6170369982719421, -1.8468443155288696, -0.6642376780509949, 0.592552900314331, 0.9916056990623474, 0.36836740374565125, -0.41632771492004395, 0.08012017607688904, 1.1934901475906372, -0.3174203336238861, -0.6763052344322205, 0.4155137836933136, -1.104736089706421, 1.0967586040496826, 0.3061792552471161, 0.0516926534473896, -0.6435811519622803, 1.2406246662139893, -0.13104817271232605, -0.39695796370506287, -0.3016943633556366, 1.0995293855667114, -0.30783119797706604, -0.06486144661903381, -0.6687706708908081, 0.5471312403678894, -0.8313389420509338, 0.2004033774137497, 0.3824666738510132, 0.8265325427055359, -0.3967343866825104, -1.2577197551727295, 0.21305806934833527, -0.24614541232585907, -0.6220424175262451, -0.5376026630401611, 0.04714853689074516, 0.4568719267845154, 0.3352596163749695, -0.7929259538650513, -1.0145587921142578, -0.4553077220916748, -2.0789713859558105, -1.9908490180969238, 0.6874613761901855, 0.20952527225017548, -0.769822895526886, 0.25238093733787537, 0.3914503753185272, 1.2354501485824585, 1.190416693687439, 0.45110929012298584, -0.23481549322605133, -0.845032274723053, -0.9373668432235718, 1.5932724475860596, -0.054322317242622375, 0.0839911624789238, 0.32958337664604187, 0.976352334022522, -0.3753930926322937, -0.35614830255508423, -0.5856068134307861, -1.6249585151672363, -0.5090306997299194, -0.2029425948858261, -0.9522866010665894, -0.514440655708313, -2.0213332176208496, 0.3942493200302124, 0.3035472333431244, 0.10463948547840118, -0.6996092796325684, 0.15455810725688934, -1.0821945667266846, 0.32178783416748047, 0.675532877445221, 0.5375686287879944, 0.19828324019908905, 0.6909890174865723, -0.4277893900871277, -0.8366603255271912, 0.9380887150764465, -0.018788380548357964, 1.1601343154907227, -0.4099047780036926 ]
169
0704.0171
Jim Hinton
F. Aharonian, et al
Discovery of a point-like very-high-energy gamma-ray source in Monoceros
5 pages, 4 figures, to appear in A&A
null
10.1051/0004-6361:20077299
null
astro-ph
null
The complex Monoceros Loop SNR/Rosette Nebula region contains several potential sources of very-high-energy (VHE) gamma-ray emission and two as yet unidentified high-energy EGRET sources. Sensitive VHE observations are required to probe acceleration processes in this region. The H.E.S.S. telescope array has been used to search for very high-energy gamma-ray sources in this region. CO data from the NANTEN telescope were used to map the molecular clouds in the region, which could act as target material for gamma-ray production via hadronic interactions. We announce the discovery of a new gamma-ray source, HESS J0632+058, located close to the rim of the Monoceros SNR. This source is unresolved by H.E.S.S. and has no clear counterpart at other wavelengths but is possibly associated with the weak X-ray source 1RXS J063258.3+054857, the Be-star MWC 148 and/or the lower energy gamma-ray source 3EG J0634+0521. No evidence for an associated molecular cloud was found in the CO data.
[ { "created": "Mon, 2 Apr 2007 13:45:22 GMT", "version": "v1" } ]
2009-11-13
[ [ "Aharonian", "F.", "" ] ]
07
[ 0.29747623205184937, -0.6919792890548706, 1.0544782876968384, -0.5206786394119263, 0.09102100878953934, 0.5198915600776672, 0.2060672491788864, 0.8167415261268616, 1.16640043258667, -1.0861998796463013, 0.5131934285163879, -0.19345717132091522, -0.5449168682098389, 1.0413475036621094, 0.08032660186290741, -1.1441431045532227, -0.09227942675352097, 0.8474276065826416, 0.3284256160259247, -0.26014387607574463, 0.08071573078632355, 0.629889965057373, -0.2491498589515686, -0.2712499797344208, 0.3669723570346832, 0.1813468188047409, -0.04781549423933029, 0.2337510585784912, -0.3097471594810486, -0.841977059841156, -0.9098927974700928, 0.6328741908073425, 0.36907240748405457, 0.34608080983161926, 0.29460516571998596, 0.38842660188674927, 0.02810021862387657, 0.04836774244904518, -1.2857609987258911, -0.7996131777763367, -0.5378536581993103, 0.2158781737089157, 0.3611871004104614, 0.640362560749054, -0.38970327377319336, 0.5771099328994751, 0.8836337327957153, -0.38821643590927124, -0.710608959197998, 0.7878649234771729, -0.5210483074188232, 0.083912692964077, -0.1902535855770111, 1.234116792678833, -0.6306832432746887, 0.018360823392868042, -0.8866053819656372, 0.32670214772224426, -0.43334126472473145, -0.7455558776855469, -0.2545408308506012, -0.5694912672042847, 0.29610276222229004, -0.8008971810340881, -0.2500162124633789, 0.11057223379611969, -0.026034150272607803, -0.2584611773490906, 0.9263690710067749, 0.693254828453064, 0.5247976183891296, -0.05042792111635208, 0.333303302526474, -0.3133564889431, -0.5050371289253235, 0.3877972960472107, 0.23306311666965485, 0.48470261693000793, 0.5433036684989929, 0.7709800601005554, 0.3844766318798065, 0.3731571435928345, -1.0194438695907593, 0.24348345398902893, -0.7583643198013306, 0.22693118453025818, -0.2207554429769516, -0.7005078196525574, -0.58078932762146, -1.1827130317687988, -1.4972141981124878, -0.15647879242897034, -0.2502422630786896, -1.3786230087280273, -0.0623239241540432, 1.1322799921035767, 0.3134482800960541, 0.8069286942481995, 0.6768633127212524, 0.3322145342826843, 0.23645801842212677, 1.7111784219741821, 0.3527567684650421, 0.6633039712905884, -0.48329079151153564, -0.22944281995296478, 0.4161957800388336, 0.2541230320930481, 0.281541109085083, -0.25427931547164917, 0.654740035533905, -0.5577067732810974, -1.006603717803955, 1.188904047012329, -0.5622705221176147, -1.8238362073898315, 0.21820008754730225, 0.6583037376403809, -0.4560909867286682, 1.2633411884307861, 0.014866904355585575, 0.38976991176605225, -1.2095439434051514, 1.255884051322937, -0.717140257358551, -1.022694706916809, -0.005873550660908222, 0.1863463968038559, 0.4433000683784485, -0.26336678862571716, -0.08181949704885483, 0.009473643265664577, -0.5613778829574585, 0.7832486033439636, -0.37370628118515015, 0.09275440871715546, -1.5758991241455078, -0.0663534477353096, -0.11266044527292252, 0.6296931505203247, -1.1327855587005615, -0.31563785672187805, 0.7189557552337646, 0.17209821939468384, -0.38079991936683655, 0.8152123689651489, -0.5881921052932739, -0.2818574905395508, 0.49250155687332153, 1.2137953042984009, 0.0656638965010643, 0.6907076239585876, -0.25154006481170654, 0.4262629449367523, -0.7095093727111816, 1.3893179893493652, 1.6180816888809204, 0.8348008394241333, -0.9080822467803955, 1.8437771797180176, -0.033418066799640656, -0.6906334161758423, -0.4608399569988251, 1.6326159238815308, 0.27576807141304016, -1.0913807153701782, 0.06483855098485947, 0.051908817142248154, -0.5430307984352112, 0.08717435598373413, -1.5590908527374268, -0.2827007472515106, -1.1339164972305298, 1.281803846359253, -0.4515855014324188, -0.4831111431121826, -0.19881415367126465, 0.5615440011024475, -1.1957573890686035, 1.57948899269104, 0.0997195690870285, -0.482880562543869, 0.72835373878479, -2.0469961166381836, 0.31472501158714294, -0.11253330111503601, 0.692172110080719, -0.42002561688423157, 1.5171133279800415, 0.11254212260246277, -0.5330713987350464, 0.20218659937381744, 1.1132056713104248, -0.47712740302085876, -0.8129811882972717, -0.5149093270301819, -0.2854463756084442, 1.1572524309158325, 0.2592470943927765, -0.2654128074645996, 0.49990731477737427, 0.4664372205734253, 0.8420536518096924, 0.13925066590309143, -0.4185718894004822, -0.2501702904701233, 0.28088146448135376, 0.8866441249847412, 0.28662532567977905, 0.5224799513816833, -0.5187646746635437, -0.14509759843349457, 0.10085193067789078, -0.9802718758583069, 0.30453142523765564, 0.010484972968697548, 0.837486982345581, -1.1938724517822266, 0.04683038219809532, -0.33295199275016785, -0.7948540449142456, 0.8488695621490479, -0.004774943925440311, -0.47778037190437317, -0.05686185136437416, -0.5391794443130493, -0.08712627738714218, -1.5983635187149048, -0.45741522312164307, -0.3220909833908081, 1.7089638710021973, 0.7423440217971802, 0.8945618867874146, -0.39195516705513, -0.19951440393924713, 0.7988439798355103, -0.8455826044082642, -0.450502872467041, -0.5559550523757935, 0.3529398739337921, 0.6918132901191711, 0.5473954081535339, 0.04602808132767677, -0.5589010715484619, -0.30175381898880005, -0.1228610947728157, -0.7290008068084717, -0.16700409352779388, -1.0140373706817627, 0.26536494493484497, -0.8490175008773804, 0.13303253054618835, -0.2588222324848175, -2.114778757095337, 0.28924110531806946, -0.6657832860946655, -0.06218516826629639, -1.49815833568573, -0.6865573525428772, -0.12316557765007019, -0.256026953458786, -0.6772985458374023, -0.28099480271339417, 0.09933212399482727, 0.23257073760032654, -1.744276523590088, 1.175742506980896, -0.2987380623817444, -1.0054339170455933, -0.26139646768569946, -0.05281419679522514, -0.6396826505661011, 0.8088037967681885, 0.11463767290115356, -0.3732069432735443, 0.29828593134880066, 0.6854323148727417, 0.3397940993309021, -0.22334040701389313, 0.29242822527885437, 1.096632480621338, 0.8606996536254883, -0.8993383646011353, 0.4673267900943756, 1.823616862297058, -0.44828000664711, 0.4678971767425537, -0.2793024182319641, 0.19160839915275574, -0.45237377285957336, -1.2335797548294067, -0.5066325664520264, 0.29466140270233154, 0.6208118200302124, 0.24526886641979218, 0.009203934110701084, -0.5686501264572144, -1.022990107536316, 0.15962815284729004, -0.2577109932899475, 1.0435782670974731, 0.5595866441726685, -1.6723045110702515, -0.047909822314977646, 0.4073260724544525, -0.1539028435945511, 0.008378651924431324, 0.38140159845352173, 1.2375736236572266, -0.8916287422180176, -0.29848456382751465, -0.8856551051139832, -0.175406813621521, 0.6987457275390625, 0.5956626534461975, 0.4139435589313507, 0.4856489300727844, -0.4850214421749115, -1.7129647731781006, -0.5047221779823303, 0.45595645904541016, 0.3089504539966583, 0.3295557200908661, -0.5803869366645813, -0.272302508354187, -0.9221720099449158, -0.02168997935950756, 0.09783117473125458, 0.21264857053756714, -0.4010584354400635, -0.3782102167606354, 0.08842551708221436, 0.029685059562325478, 0.09989968687295914, 0.35391703248023987, -0.7733979225158691, 1.4022756814956665, 1.6818801164627075, 0.23549483716487885, 0.8862837553024292, -0.006484445184469223, -0.17366845905780792, 0.02790386974811554, 0.6443235278129578, -0.7077158093452454, -0.640429675579071, -0.5529515743255615, -0.394066721200943, -0.4864814281463623, 0.5164080262184143, -0.6067013144493103, -0.017075691372156143, 1.2149027585983276, -1.6369847059249878, 0.07986690104007721, 0.6147515177726746, 0.1972414255142212, 0.2502599358558655, -0.9350942969322205, -1.4851913452148438, -1.100748896598816, 0.019160568714141846, -0.96192866563797, -0.44826000928878784, 0.49182334542274475, -1.259385108947754, -0.6791367530822754, -2.1330957412719727, 0.6199321746826172, -0.04792308434844017, -0.7997068166732788, 0.03751923888921738, -0.3781260848045349, 1.206870436668396, 0.7502921223640442, -0.0399409681558609, 0.1904682070016861, 0.28928637504577637, 0.23981887102127075, 0.1807260662317276, -1.1860508918762207, 0.13190829753875732, 0.3989056646823883, 0.17366553843021393, 0.34103482961654663, -1.226725697517395, -0.3324923515319824, -0.4540550410747528, 0.6431045532226562, 0.3049938678741455, -0.43544256687164307, 0.4079107940196991, -0.2523922622203827, 0.34360575675964355, -0.019224395975470543, 1.389717936515808, -0.8905035853385925, 0.9324718713760376, -0.18538616597652435, 0.8819130063056946, 0.10348905622959137, -0.813557505607605, -0.019226428121328354, -0.47880199551582336, -0.9794331789016724, 0.18112537264823914, -1.0565481185913086, -0.2009292095899582, 0.7136933207511902, -0.57402503490448, 0.1817268580198288, 1.0533690452575684, -0.892569899559021, -1.0711498260498047, 1.2842638492584229, -0.4497970938682556, -2.005305767059326, -1.0293585062026978, 0.052984267473220825, -0.9256089925765991, 1.766516089439392, -0.8515468239784241, 0.4870815873146057, -0.2882746458053589, -0.20028214156627655, 1.2937349081039429, -0.4708015024662018, -1.0001806020736694, -1.131549596786499, -0.49411043524742126, 0.33779430389404297, 1.2873852252960205, -0.2610328495502472, 0.3724077343940735, 0.1957470029592514, -0.3620212972164154, 0.16274935007095337, 0.21343150734901428, -1.3173500299453735, -0.10964301228523254, 0.2027805596590042, -0.4477599561214447, 0.3154985010623932, -0.7180279493331909, -0.09784621745347977, -0.44380688667297363, -0.6058860421180725, 0.22979651391506195, -1.1773170232772827, 1.9147632122039795, 0.1527598351240158, 0.5469870567321777, 0.09031642228364944, -0.6987847685813904, -0.4611741006374359, 1.0004527568817139, -1.237435221672058, -0.39041903614997864, -0.6518002152442932, -0.3221193552017212, -0.2869441509246826, -0.14825887978076935, -0.011028816923499107, -1.1391056776046753, -0.034741487354040146, -1.1345411539077759, 0.3750729262828827, -0.6659016609191895, -0.2978917956352234, -0.7493176460266113, 0.009349316358566284, 0.7470141053199768, 0.10716089606285095, -0.35293856263160706, -0.16699527204036713, 1.2064778804779053, -0.12005064636468887, 0.4626598060131073, 0.6695131063461304, -1.1872458457946777, 0.05978427827358246, -0.44915977120399475, -0.6645623445510864, -0.7303179502487183, -1.2612967491149902, 0.5643484592437744, 0.2588581144809723, -0.44726142287254333, 0.5390200018882751, -0.9155324101448059, -0.5629542469978333, -0.347009539604187, -0.5500892400741577, 1.3706767559051514, 0.9148117303848267, 0.32197755575180054, -0.5546410083770752, 0.4886089265346527, -1.2391241788864136, -0.03590124472975731, -1.2131493091583252, -0.05642768368124962, 0.39064472913742065, -0.9279005527496338, -0.31397783756256104, -1.1337257623672485, -0.939018964767456, 0.8820266723632812, -0.8472738265991211, -0.5864784121513367, -0.948684811592102, -0.08871060609817505, 0.07835963368415833, -1.256399154663086, 0.863660991191864, 0.05903403088450432, 0.6747750639915466, -2.219369888305664, 0.09053315967321396, -0.9652761220932007, -0.03415993973612785, 0.6757323145866394, -0.04345910996198654, -0.5134231448173523, 0.0058305650018155575, 0.4202013909816742, 1.2663781642913818, -0.25849467515945435, -0.4076288044452667, 0.40995439887046814, 0.14822077751159668, -1.2014296054840088, 0.23639844357967377, -0.950552225112915, -0.05022915080189705, -0.35756275057792664, 1.1350409984588623, 1.0209943056106567, -0.06290373206138611, -0.8241645097732544, -0.04288700595498085, -0.73832106590271, -0.7476038336753845, 1.3405144214630127, 0.9230096936225891, -0.2733776867389679, 1.479266881942749, 0.017624303698539734, 1.354284405708313, 0.22903616726398468, 0.2710270285606384, 0.08883235603570938, 0.14085116982460022, 0.09268604964017868, 0.0016557796625420451, 0.5040154457092285, -7.502903461456299, -1.0978049039840698, -0.1264478713274002, 0.7719595432281494, -0.448479562997818, 1.4064770936965942, 0.23081231117248535, 0.3333607614040375, -0.1509546935558319, -0.03836727514863014, 0.867175281047821, 0.8259433507919312, -0.6623362898826599, -1.0145368576049805, -1.3701142072677612, -0.18588963150978088, -0.004588071722537279, -0.15019188821315765, -0.4898092448711395, -0.8535267114639282, 0.19401969015598297, 0.28402990102767944, 0.07419577986001968, -0.17567582428455353, 1.0007916688919067, -0.4304690361022949, -0.2511293292045593, 0.1386999636888504, -0.20890803635120392, 1.2294578552246094, -0.3297103941440582, -0.6153681874275208, -0.26930519938468933, -0.4030362367630005, 0.11817873269319534, -0.14998410642147064, -1.2608364820480347, 1.8592162132263184, 1.5287765264511108, -0.2704671323299408, 0.0707993358373642, 0.740404486656189, 1.0212676525115967, 0.42690056562423706, 0.4421682059764862, 1.0968852043151855, -0.2765332758426666, 0.20202547311782837, 0.7839515805244446, -0.09770072251558304, 0.5146126747131348, -0.5683193206787109, -0.45563805103302, -0.14877058565616608, 0.3979291319847107, -1.4587281942367554, -1.4997848272323608, -0.5486052632331848, -1.397228717803955, -0.8880429863929749, 0.437884122133255, -0.8769587874412537, -2.1535584926605225, 0.12578313052654266, 0.4780678153038025, -0.7582460045814514, 2.6835126876831055, -0.7909562587738037, -0.4945453107357025, 1.0755175352096558, 0.25267255306243896, -0.7766785025596619, 0.587605357170105, -1.0438458919525146, 1.0543313026428223, -0.2048729658126831, -0.8960851430892944, 0.30871671438217163, 0.45858001708984375, 0.014236511662602425, -0.1263667196035385, 1.3215880393981934, -0.5231418609619141, 0.3062375783920288, -0.5787190198898315, -0.10025477409362793, -0.4906827211380005, 0.8952862024307251, -0.0940321683883667, -0.1594891995191574, 0.4435308575630188, 0.24178005754947662, 0.34764236211776733, 0.44298022985458374, 1.0506352186203003, 0.865989089012146, 0.9114720225334167, 0.8679872155189514, 0.32429173588752747, 0.103262759745121, 0.1423691213130951, -0.48496899008750916, -0.9390420317649841, 0.5847985744476318, 0.2632070481777191, -1.133133888244629, -1.1641391515731812, 0.12841281294822693, 0.7956637740135193, 1.0556915998458862, 1.7547975778579712, -1.0122250318527222, -0.376546710729599, -1.230583906173706, -0.6821774244308472, -1.1815201044082642, -0.157109797000885, -0.9045262336730957, -1.1072585582733154, -0.4411158859729767, -0.7521799206733704, 1.0576770305633545, -1.2851899862289429, -0.7210325598716736, 0.6137819886207581, 1.1689889430999756, 0.7572501301765442, 0.427485853433609, 0.08600267022848129, 0.6999201774597168, -1.3207216262817383, -0.573183536529541, 0.2616214454174042, -0.28862661123275757, -0.44287651777267456, 0.0588490255177021, 1.952461838722229, -0.5332678556442261, -0.994816780090332, -0.22545285522937775, 1.4226856231689453, -0.9480878710746765, -0.3280334770679474, -0.4041476845741272, 0.22959363460540771, -0.296737402677536, -0.5728711485862732, -0.81000155210495, 0.22116607427597046, -0.20743781328201294, 0.3456168472766876, 0.3628484904766083, -0.8107665777206421, 1.065510869026184, -0.3394815921783447, 0.32946300506591797, 0.3023532032966614, -0.28713440895080566, 0.5342593193054199, 0.20099085569381714, 0.8868765830993652, -1.0325206518173218, 0.8301799297332764, 0.1010783389210701, -0.2614239752292633, -1.3658332824707031, -0.10114181786775589, 0.8654848337173462, -1.6083800792694092, 0.2987772524356842, 0.31087425351142883, 0.23783063888549805, -0.8256493806838989, -0.14421506226062775, -0.4099064767360687, -0.18791690468788147, 0.14276550710201263, 0.8877791166305542, -0.32136526703834534, -0.8998757600784302, 0.4864540100097656, -0.3406555950641632, 0.4344898760318756, 0.40005385875701904, 0.43151432275772095, 1.6181631088256836, 0.5453385710716248, -0.6133091449737549, 0.16664943099021912, 0.4933936595916748, 0.2697106599807739, -0.3180965483188629, -0.47237980365753174, 0.18244460225105286, -0.9945198893547058, -0.06083165481686592, 0.19556750357151031, 0.109553262591362, 0.8238472938537598, -0.027521420270204544, 0.35693132877349854, 0.37724825739860535, -0.2042272537946701, 0.6833372116088867, 0.8027870059013367, 0.3604508936405182, 0.5481249690055847, 1.0112992525100708, 0.28740930557250977, -0.5748133659362793, 0.040232494473457336, -1.126778483390808 ]
170
0704.0172
Anton Ramsak
S. El Shawish, A. Ramsak, and J. Bonca
Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
10 pages, 9 figures
Phys. Rev. B 75, 205442 (2007)
10.1103/PhysRevB.75.205442
null
cond-mat.mes-hall cond-mat.str-el
null
We show that temperature and magnetic field properties of the entanglement between spins on the two-dimensional Shastry-Sutherland lattice can be qualitatively described by analytical results for a qubit tetramer. Exact diagonalization of clusters with up to 20 sites reveals that the regime of fully entangled neighboring pairs coincides with the regime of finite spin gap in the spectrum. Additionally, the results for the regime of vanishing spin gap are discussed and related to the Heisenberg limit of the model.
[ { "created": "Mon, 2 Apr 2007 11:24:01 GMT", "version": "v1" } ]
2009-11-13
[ [ "Shawish", "S. El", "" ], [ "Ramsak", "A.", "" ], [ "Bonca", "J.", "" ] ]
07
[ -0.48136427998542786, -0.49529778957366943, 0.2582924962043762, 1.0819330215454102, -0.09645015746355057, 0.06512470543384552, -0.9090964198112488, 0.2533322870731354, -1.160669207572937, -0.8241986036300659, -0.7196602821350098, 1.0173791646957397, 0.8756458759307861, 1.1536606550216675, -0.9948927164077759, -0.4058955907821655, 0.4555151164531708, 0.8622300028800964, 0.020349130034446716, 0.8505520820617676, 0.14096178114414215, -0.11317160725593567, 0.28250959515571594, -0.882514238357544, -0.8468547463417053, 0.20457807183265686, -1.0724279880523682, 1.410029649734497, -0.21481001377105713, -0.05270041897892952, 0.06462843716144562, 0.119730144739151, 0.3197192847728729, 0.6810378432273865, -0.7180967330932617, -0.9878095388412476, -0.412988543510437, 0.2655147910118103, 0.21494293212890625, -0.6147292256355286, 0.14878752827644348, 0.15961164236068726, -0.6950089931488037, 0.5372331142425537, -1.3783501386642456, 0.029961735010147095, 0.7505140900611877, 0.04762183502316475, -0.27562248706817627, -0.8193789124488831, -0.6460210680961609, -0.43430572748184204, -0.6978389620780945, 0.19863465428352356, -0.6794019937515259, 0.9731557369232178, -1.9837794303894043, 0.667819619178772, -0.020822085440158844, -0.586986780166626, -0.412561297416687, -0.24241650104522705, -0.03274097293615341, -0.563410222530365, 0.7191829085350037, 1.344346046447754, 0.271777480840683, 0.028677236288785934, 0.9174196124076843, -0.248613640666008, -0.013957788236439228, -0.5282077193260193, -0.5094698667526245, -0.9950131177902222, 1.128666877746582, -0.8684660792350769, -0.8784345984458923, 1.120617389678955, 0.7376338839530945, 0.6240994930267334, 0.6580368280410767, 1.639993667602539, -0.6782540082931519, -0.7729920744895935, 0.5064266920089722, 0.27614083886146545, 0.7118265628814697, 0.9325334429740906, -1.7695516347885132, -0.6647900938987732, -0.6165246963500977, 0.7555099725723267, -0.001596352318301797, -0.3026052713394165, -0.12381967902183533, -1.1190401315689087, -1.2707314491271973, -0.8564295768737793, -0.2426246851682663, -0.8165878653526306, -0.9661574959754944, 1.9230823516845703, 0.5415540933609009, 0.2960510849952698, -0.481587290763855, 1.2637969255447388, -0.025913314893841743, -1.0019187927246094, -0.47056975960731506, 0.591747522354126, -0.4976537525653839, -1.7481735944747925, 0.21298685669898987, 0.5877642035484314, -0.19918592274188995, 0.08000527322292328, 0.22494307160377502, 0.910682737827301, -0.35296961665153503, -0.3591490685939789, -0.09338711202144623, -0.1201150119304657, 1.0089962482452393, -0.3859115242958069, 0.26917940378189087, 0.31585055589675903, 0.40445610880851746, -0.7715784907341003, -0.09191972762346268, -1.4077717065811157, -0.995094895362854, 0.36282894015312195, 0.11599878966808319, 0.49679872393608093, 0.26113221049308777, 1.124314546585083, 0.27710455656051636, 0.2595192790031433, -0.34718501567840576, -0.34545376896858215, 0.46266159415245056, -0.14124178886413574, -1.106351613998413, -1.4539520740509033, -0.33367684483528137, -0.44746750593185425, -0.060502808541059494, 0.4656791388988495, 0.7872273921966553, -0.1821891963481903, 0.7101027965545654, -0.8590573668479919, 0.9396007657051086, -0.5891888737678528, 0.17832283675670624, -0.27688464522361755, 1.1838699579238892, 1.9985170364379883, -1.1396108865737915, 0.40473440289497375, 0.6217963099479675, 1.5866477489471436, 0.18744628131389618, -0.8510589003562927, -0.9160033464431763, -0.4356895983219147, -0.1025276705622673, 0.9186348915100098, 0.9813154935836792, 0.09075034409761429, 0.9958537817001343, -0.3996729254722595, -0.4143083691596985, 1.4056893587112427, -0.025824937969446182, 0.07792869955301285, 1.563259482383728, -0.0660911351442337, -0.17002473771572113, 0.4262145459651947, 0.7508243918418884, -1.133363962173462, -0.11793499439954758, -0.6630218625068665, -0.1601555049419403, 1.0288589000701904, -0.09140890091657639, -0.4338141679763794, 0.35604241490364075, -0.5197492241859436, 0.5011306405067444, -0.14200203120708466, -1.3184772729873657, -1.4626435041427612, -0.3462274372577667, 1.3911734819412231, 0.3569716513156891, 0.8199433088302612, -0.1611272543668747, 0.2617654502391815, 0.634533703327179, -0.17961283028125763, -0.19873738288879395, -0.6781265139579773, 0.15216748416423798, 0.8086645007133484, -0.434296578168869, -0.4283558428287506, -0.021897632628679276, 0.31054747104644775, -0.19835883378982544, 0.3724161386489868, -1.7578182220458984, -0.011533542536199093, 0.027192257344722748, -1.3008910417556763, 1.7947651147842407, -0.38219356536865234, -0.4564705193042755, 1.2797342538833618, 0.05097948759794235, 0.2082434594631195, -0.019615788012742996, -0.5175756812095642, -0.37346208095550537, -0.22596991062164307, -0.9414083361625671, 0.0983608141541481, -0.13066911697387695, -0.9640906453132629, 0.6836880445480347, -0.7960399985313416, -0.17731614410877228, 0.18554043769836426, 1.2143117189407349, -0.8442710041999817, -0.36142680048942566, -0.1622382253408432, 0.26205843687057495, 0.2487112432718277, -0.30441904067993164, 0.737323522567749, 0.1915806382894516, -1.2877984046936035, -0.42505019903182983, -0.2609241306781769, 0.48108354210853577, 1.5289852619171143, -1.6747390031814575, 0.23748500645160675, -1.343780755996704, 0.27530360221862793, -0.8387722969055176, -0.49014782905578613, -0.32797771692276, 0.63180011510849, 1.0060546398162842, 0.09072165191173553, -0.48947805166244507, -0.39470088481903076, 0.022930536419153214, -0.0821744054555893, 0.839202344417572, -0.49014508724212646, -0.47287899255752563, -0.3042633533477783, 0.34955230355262756, 0.15541453659534454, 0.49905696511268616, -0.18935629725456238, 0.0733080506324768, -0.21799322962760925, -0.24439118802547455, -0.5685958862304688, 0.26429128646850586, -0.2806181311607361, 0.1735866516828537, -0.5162202715873718, -0.024409566074609756, 0.44839686155319214, -0.1039506047964096, 1.371349811553955, -1.1014126539230347, 0.035695403814315796, -0.3014095425605774, 0.10319149494171143, -0.2243318110704422, 0.6098998785018921, -0.5675216913223267, 0.6819650530815125, -1.5120642185211182, 0.7194054126739502, 1.028910756111145, -0.9487380385398865, -0.5547265410423279, -2.0992276668548584, 1.1360207796096802, 0.53057861328125, -0.9479252099990845, -0.6214634776115417, -0.39002859592437744, 0.9553440809249878, 0.8623440265655518, 0.5791198015213013, 0.28816211223602295, -0.22925442457199097, -0.26854825019836426, -0.5949118733406067, -0.08503968268632889, -0.13596808910369873, -0.29359138011932373, -0.06578109413385391, -0.4761963188648224, 0.47826793789863586, 0.855470597743988, -0.30645138025283813, 0.6008020639419556, 0.4143694043159485, -0.4537528455257416, -1.673546552658081, 0.15519870817661285, 0.01173112541437149, 0.5720438361167908, 0.879623293876648, -0.005966028198599815, -0.7399297952651978, -1.415282130241394, -0.37025049328804016, -0.4570642411708832, 0.814882218837738, -0.29179051518440247, 0.6232469081878662, -1.2293927669525146, -0.9959734678268433, 0.029096048325300217, -0.9619415402412415, 0.1383383721113205, 0.45337677001953125, 1.6108051538467407, -0.11656807363033295, -0.6515001654624939, 0.05711519345641136, 0.6484987735748291, 0.024573246017098427, 0.0200533214956522, -0.4019472599029541, -0.3175997734069824, 0.2998337745666504, -0.27582848072052, -0.18457549810409546, 0.48484236001968384, -0.541908323764801, 0.5527384877204895, 0.5432421565055847, 0.6190572381019592, 0.07229346036911011, 0.525210440158844, 1.9649467468261719, 0.16334789991378784, -0.6755961775779724, 1.1032228469848633, 0.5687983632087708, 0.6380902528762817, -0.2311815321445465, 0.06327947229146957, 0.6016599535942078, -1.2490893602371216, 0.9018821120262146, -0.7242545485496521, -0.565674901008606, 0.8849222660064697, -0.802341103553772, 0.7972790002822876, -0.5792242884635925, -0.4000062346458435, -0.3580271601676941, -0.9062702655792236, 1.0885653495788574, 1.6162174940109253, -0.105512835085392, 0.03063264489173889, -0.7986258864402771, 0.31309762597084045, 0.5240981578826904, -0.162703275680542, -0.0894801914691925, 1.0189709663391113, 0.49438172578811646, 0.29878556728363037, 0.6185024976730347, -0.21595996618270874, 0.12150491774082184, 0.060264211148023605, 0.08003417402505875, -1.0816617012023926, -0.2858971655368805, 0.2645777761936188, -0.3477597236633301, 0.5391956567764282, 0.30341243743896484, 0.8091112971305847, -0.7629153728485107, -0.7273740768432617, -0.3503912389278412, 0.13281042873859406, 0.4413530230522156, 2.104884624481201, -0.1682826578617096, -0.6301515698432922, -0.309234619140625, -0.31195691227912903, 0.6952431201934814, 0.2396441549062729, -0.09782643616199493, 1.069266438484192, -0.4276951849460602, -0.5618771314620972, 1.521396517753601, -0.581947386264801, -0.03643384575843811, -0.15433816611766815, -0.7287126779556274, -0.4000704884529114, -0.09589599072933197, -0.17693975567817688, 0.41530728340148926, 0.7636318802833557, -0.7631648778915405, 0.12724177539348602, -0.20182682573795319, 0.7347081899642944, 0.36788174510002136, -0.09788516908884048, -0.317416787147522, -0.4260615110397339, -0.6598326563835144, -0.06841804832220078, 0.10721124708652496, 0.37731820344924927, -0.5350465178489685, -0.35435664653778076, 0.5816242694854736, 0.34872058033943176, 0.0017725327052175999, -0.5155513882637024, -1.5319005250930786, -1.0610435009002686, 1.3670095205307007, -0.16678515076637268, 0.10724271833896637, 0.46876052021980286, -1.2647275924682617, -0.7773481607437134, 0.12345480918884277, 0.8594512939453125, 0.5156200528144836, -0.4647347927093506, 1.5682860612869263, -0.10063301771879196, -0.4920787811279297, -0.3741306960582733, -0.08116596192121506, 0.2818047106266022, -0.9091676473617554, 0.767293393611908, -0.626076877117157, 0.4545774459838867, -0.5735777020454407, 0.05391464754939079, 0.5604279637336731, 0.30507370829582214, -0.5085907578468323, 0.6069071888923645, -0.9917274117469788, 0.39481014013290405, 0.3431054353713989, -1.3250471353530884, 0.9943923354148865, 0.34793099761009216, 0.9205495119094849, -0.08724479377269745, 1.0876370668411255, 0.29947009682655334, 0.07908079028129578, 0.0940433219075203, -0.5302391648292542, -0.4662657082080841, 0.49993953108787537, -0.936882734298706, 0.4432607591152191, 0.39181047677993774, -0.06131786108016968, 0.49302905797958374, 1.2233599424362183, 0.6008300185203552, 0.4587801694869995, 0.3187962770462036, -0.084005206823349, 0.7573821544647217, -1.2524305582046509, 0.2181486189365387, -1.682389497756958, -0.48837220668792725, -0.02851281128823757, -1.9083787202835083, -0.8247582316398621, -0.43554040789604187, -0.8199691772460938, 0.5294133424758911, 0.8539087176322937, 0.05693379044532776, -0.5231857299804688, -0.3059561252593994, -0.13922329246997833, -0.16865210235118866, 0.30279794335365295, 0.012372879311442375, -2.4590399265289307, -0.19827359914779663, -0.5762028098106384, 0.47045838832855225, -0.6921871900558472, 0.2910916209220886, -0.05934848636388779, 0.05515696480870247, -0.7301980257034302, 0.8379198312759399, 0.6325127482414246, 0.5464911460876465, -0.6502883434295654, -0.5632628798484802, 0.3040034770965576, -0.6394188404083252, 0.6529717445373535, 0.14824624359607697, 0.19225089251995087, 0.023192396387457848, 0.14182771742343903, -2.0104894638061523, 0.39864662289619446, -0.6011356711387634, -0.28173601627349854, 0.03751888498663902, -1.5713285207748413, -0.338840126991272, -0.40189898014068604, -1.0842554569244385, 0.03795407712459564, -0.8282424211502075, -0.8897031545639038, 0.3924054503440857, -0.7297207117080688, -0.16283096373081207, 0.9892664551734924, -1.4247324466705322, 0.865375816822052, -7.649823188781738, 1.097094178199768, -0.2576974630355835, -0.19525988399982452, 1.2721132040023804, -0.82288658618927, 0.4916287660598755, -1.2165573835372925, 1.6618958711624146, 0.7280223965644836, 1.3931859731674194, 0.816001832485199, -0.5021668076515198, -0.8060505986213684, 0.13210447132587433, -0.22118420898914337, 1.5725985765457153, -0.4368845224380493, -1.044695496559143, -0.2559913396835327, -0.22262254357337952, -0.6965460777282715, -0.38380929827690125, 0.3339342474937439, 0.6601013541221619, 0.18864327669143677, 0.1471468210220337, -0.26167479157447815, 0.6536844372749329, -0.39408835768699646, -0.02856374904513359, 1.161076545715332, -0.20332551002502441, 0.12400595843791962, 0.487062007188797, -0.6005389094352722, 0.8910377025604248, -0.5005241632461548, -1.5077908039093018, -0.7948708534240723, -0.3709080219268799, 0.8480246663093567, -0.5050637722015381, 0.0035338676534593105, -0.8602518439292908, -0.11397723108530045, 0.40253955125808716, -2.4579434394836426, -0.5139570236206055, 0.5854827165603638, 0.14377430081367493, 0.6505438089370728, -0.2998647391796112, -0.2630153298377991, -0.7849105000495911, -1.1856682300567627, -1.6686317920684814, -0.08748695999383926, 0.5709759593009949, -0.19925378262996674, -0.4363863468170166, -0.5618777275085449, 0.09481015801429749, 0.30201974511146545, 0.026423156261444092, 0.9429333209991455, -0.4133570194244385, 0.1499800682067871, 0.6004244089126587, 0.13873690366744995, -0.36640045046806335, -1.6306203603744507, -1.198614239692688, 0.9656037092208862, -0.163771390914917, -0.5197631120681763, 1.0298101902008057, -0.24686211347579956, -0.4094763398170471, 0.9858611822128296, 1.4379647970199585, -0.4175261855125427, -0.39030686020851135, 0.4766673445701599, -0.005958436522632837, -0.20895124971866608, -0.22618059813976288, -0.830356240272522, -0.7085601091384888, -0.35372644662857056, -0.08323686569929123, 1.0121688842773438, 0.5601767301559448, -0.9570934772491455, 0.8530638217926025, 0.7184837460517883, 0.6998206973075867, -1.374875545501709, 0.4043215811252594, -0.2057882696390152, -0.82857745885849, -0.8581156730651855, 0.06813637167215347, 0.5643730163574219, 0.12476803362369537, -0.13231512904167175, -0.29215535521507263, -0.5107555985450745, -0.08279164135456085, -0.6733007431030273, -0.7091457843780518, 0.10184282064437866, -0.9388787746429443, -0.7054823637008667, -0.5470860004425049, 1.915533423423767, 0.28427961468696594, 0.2768615186214447, -1.1460585594177246, -0.22929860651493073, -1.135537028312683, 0.5880255103111267, 0.485891193151474, -1.2626909017562866, 0.5691885352134705, 0.17973841726779938, -0.8970345854759216, -0.02219405397772789, -0.1551351398229599, -0.2592327296733856, 0.7004868388175964, -0.8754009008407593, -0.3870963752269745, 1.2778902053833008, -0.5502623915672302, -0.5078781247138977, -0.2788691520690918, 0.42732882499694824, 1.0236140489578247, 0.8527624607086182, -0.7947066426277161, 1.440426230430603, -0.46375685930252075, 0.18395212292671204, 0.5552786588668823, 0.5145189166069031, 1.32488214969635, -0.1224215030670166, -0.5019912123680115, -0.057291947305202484, 0.9829386472702026, -0.007062672171741724, 0.303337037563324, 0.38484546542167664, -0.21318359673023224, -0.25275126099586487, -1.0094990730285645, 1.938765525817871, -0.3906615674495697, -0.11277870833873749, -0.1486915498971939, 0.1372203677892685, 1.0192874670028687, 0.32246190309524536, -0.28024131059646606, -0.803950309753418, -0.7642725706100464, 0.43771395087242126, -0.06619385629892349, -1.553848385810852, -0.45475900173187256, 0.49994364380836487, -0.25129303336143494, -0.5854274034500122, 0.9200534820556641, 0.867975652217865, -0.09395888447761536, -0.40283212065696716, -0.2593238353729248, -1.2872116565704346, -1.1503183841705322, -0.20506058633327484, 0.008264148607850075, 0.11383231729269028, -1.9981719255447388, 1.8811359405517578, -1.6462242603302002, -1.503137230873108, 1.129143476486206, -0.3590855896472931, -0.1693720817565918, -0.5704850554466248, 0.29315778613090515, -0.22126896679401398, -1.5377024412155151, 0.12320654839277267, 0.24655576050281525, -0.7269166707992554, 0.09198206663131714, 0.1419079303741455, -0.7626487016677856, 1.0848681926727295, -0.054095469415187836, -0.06732846796512604, 1.314461350440979, 0.09055397659540176, 0.6315387487411499, -0.02156294696033001, -0.42068806290626526, 0.17361828684806824, 0.9547033905982971, -0.6145347356796265 ]
171
0704.0173
David Singh
H. Takenaka and D.J. Singh
Bonding of H in O vacancies of ZnO
null
null
null
null
cond-mat.mtrl-sci
null
We investigate the bonding of H in O vacancies of ZnO using density functional calculations. We find that H is anionic and does not form multicenter bonds with Zn in this compound.
[ { "created": "Mon, 2 Apr 2007 13:20:54 GMT", "version": "v1" } ]
2007-05-23
[ [ "Takenaka", "H.", "" ], [ "Singh", "D. J.", "" ] ]
07
[ -0.08682674914598465, 1.1093153953552246, -0.6789692044258118, -0.3418264389038086, -0.2786606252193451, -0.07164731621742249, -0.6731733679771423, -0.20317524671554565, 0.2830721437931061, -0.0005328735569491982, 0.8781946301460266, -0.5847185850143433, 1.1766098737716675, 1.2842336893081665, -0.9475655555725098, -0.638280987739563, 0.36188650131225586, 0.1253250539302826, 1.1981981992721558, 1.269563913345337, 0.530613899230957, -0.6926249861717224, -0.2960242033004761, -0.49310559034347534, 0.13273870944976807, 0.962382972240448, -1.8399683237075806, -0.2994062602519989, 0.451360285282135, 0.24278002977371216, -0.04237571731209755, 0.1129584088921547, 0.018725350499153137, 0.27332422137260437, 1.1607184410095215, -0.6251262426376343, 0.8184162378311157, -1.695381760597229, -0.6516180634498596, 0.23274995386600494, 0.9607605934143066, -0.5107814073562622, 0.4269264340400696, -0.2095196545124054, -1.0089664459228516, 0.23961225152015686, -0.2153136283159256, -0.8832563757896423, -1.4764145612716675, -0.22469379007816315, 0.9566375017166138, 0.8135867714881897, 0.5631659626960754, -0.29455071687698364, 1.2098722457885742, -0.14654317498207092, -0.9625052809715271, 0.5623144507408142, -0.45642590522766113, 0.05858372896909714, 0.216626837849617, 1.6437046527862549, -0.4577047824859619, -0.5203900933265686, 0.3678015172481537, 0.05633273348212242, 0.1903228908777237, -0.10313992202281952, 0.37149935960769653, -0.6729671359062195, -1.0608898401260376, -0.6862657070159912, 0.4868880808353424, -0.9774507880210876, -1.1402987241744995, -0.9235113263130188, 0.7098860740661621, -1.6722193956375122, -0.15000300109386444, 0.15923306345939636, -0.6691581606864929, 0.3403158187866211, -0.7817015647888184, -0.5602592825889587, 0.23383846879005432, -0.13511745631694794, 0.8187237977981567, -0.014175985008478165, 0.6254918575286865, 0.4652540683746338, -0.07741430401802063, 0.09936238825321198, -0.5636643171310425, 1.0805667638778687, 0.10326355695724487, -0.3293466567993164, 0.06084487959742546, -0.2342473268508911, -0.03983562812209129, 0.6673784255981445, -1.0066947937011719, -0.08537345379590988, -0.20532403886318207, 0.2812613546848297, 0.45215386152267456, 0.2028580754995346, 0.08246453106403351, -0.5628623366355896, -1.1110354661941528, 0.581704318523407, 0.6546796560287476, 0.8342269659042358, -1.4569095373153687, 0.7840394377708435, -0.1841541826725006, 1.7320539951324463, -0.8971859812736511, 0.9531556367874146, 0.4567909240722656, 0.5083292126655579, 0.7327097058296204, -0.5511935949325562, 0.6475780010223389, 0.21164029836654663, 0.3459097146987915, 1.0710158348083496, -0.5136078596115112, 0.1412373185157776, 1.3825715780258179, 0.3702564835548401, 0.12952326238155365, -0.6161209940910339, 1.1760623455047607, 0.3943274915218353, 0.14404667913913727, -0.3749338984489441, 1.140735149383545, 0.4882637858390808, 0.47832226753234863, 0.6355467438697815, 0.06402760744094849, -0.125055730342865, -0.40701839327812195, -0.7318243384361267, 0.12842276692390442, 0.31122732162475586, 1.0037705898284912, -1.1661165952682495, 0.5173174142837524, -0.4947583079338074, -0.3944278657436371, -0.23585613071918488, -0.11743547022342682, 0.4976426064968109, -1.2869592905044556, 0.29833677411079407, 1.4824998378753662, 0.04877101257443428, -0.8094882369041443, 0.28667500615119934, 0.9354116320610046, -0.26622405648231506, 0.41524067521095276, -0.9065725207328796, 0.38015252351760864, 0.4645019471645355, 0.08395197242498398, 0.5731055736541748, -0.2091628611087799, 0.23088765144348145, 0.5689334273338318, -0.781261682510376, 0.3740871548652649, 0.33823561668395996, -0.10617589950561523, 0.2669808864593506, 0.23449578881263733, -0.9362518787384033, -0.3323635458946228, 0.643414318561554, -0.5245210528373718, -0.3295101523399353, -0.7337817549705505, -0.700448751449585, 0.12518344819545746, 0.316543310880661, -0.06406218558549881, 0.1859002411365509, -0.4797229468822479, 0.19630968570709229, -0.8407676815986633, -0.3446308374404907, 0.034925561398267746, -0.552595853805542, -0.363937646150589, -0.33543676137924194, -0.5958763360977173, -0.6261825561523438, -0.8626261949539185, 0.6732470393180847, 0.21748225390911102, 0.2091914862394333, 0.04854884371161461, 0.42994534969329834, -1.8055016994476318, 0.2019912600517273, 0.09103158861398697, 0.569487988948822, -1.0111558437347412, -0.8161675930023193, 0.4708530902862549, -0.5657720565795898, -0.5119982361793518, -0.6056419014930725, 0.26474517583847046, 1.2977780103683472, 0.945185661315918, -1.2653570175170898, -0.6126993894577026, -0.7120013236999512, -0.021809229627251625, 1.2063854932785034, -0.25261324644088745, -0.2921338975429535, -0.5231893062591553, 0.22101253271102905, 0.16530586779117584, 0.7135927677154541, 0.10119041055440903, 0.037524234503507614, 0.3220730721950531, 0.31894591450691223, 0.08063711225986481, -0.611089289188385, 0.3235495090484619, -0.10349159687757492, -1.1851415634155273, 0.19454210996627808, -0.07472138106822968, 0.7717905640602112, -0.5098950862884521, -1.7949901819229126, 0.13752707839012146, -0.3733081519603729, 0.48695117235183716, 0.24390773475170135, 0.09657786041498184, -0.2539230287075043, -0.3104168474674225, -0.2385174185037613, -0.916731595993042, 1.3293284177780151, -0.4359361231327057, -0.9029417634010315, -0.48455721139907837, -0.05147968605160713, 0.7285770773887634, -0.4145698547363281, 0.5493319630622864, -0.36191412806510925, 0.5076308846473694, -0.7416057586669922, -0.18653003871440887, -0.11675579100847244, -1.0200239419937134, 1.321245789527893, 0.647093653678894, 0.1344081610441208, 0.19408613443374634, -0.3806013762950897, 0.19594325125217438, -0.2746294140815735, 0.07473089545965195, -0.024777071550488472, 0.10077372193336487, 0.21917973458766937, -1.3084349632263184, -0.8332623839378357, -0.530672550201416, -0.6742817163467407, 0.37175193428993225, 1.0826401710510254, -1.4697341918945312, 1.434674620628357, 0.2746201455593109, -0.9147794842720032, 0.523790180683136, -0.5990155339241028, 0.3249450922012329, 0.15500369668006897, 0.6796042323112488, 0.8808022737503052, -1.3349469900131226, 0.41669827699661255, 0.4561118185520172, 0.4576954245567322, -0.21928991377353668, -0.01538162399083376, 0.7036635279655457, 0.42143601179122925, -0.3750183582305908, 0.5440725088119507, 0.8315554261207581, 0.08937668800354004, 1.6940829753875732, -0.5632180571556091, -0.06375396996736526, 0.15710195899009705, -0.24802088737487793, 0.05575382336974144, -0.7083213925361633, 0.7578362822532654, -0.03662581369280815, -0.00044109110604040325, 1.1117472648620605, 0.10689670592546463, -0.7962889075279236, -0.532126784324646, -0.5756103992462158, -0.14994412660598755, 0.8594550490379333, -0.24056664109230042, -0.39486488699913025, 1.1486979722976685, 0.21302267909049988, -0.9340251684188843, -0.526608943939209, 0.7382767796516418, 0.06235847249627113, 0.21085301041603088, 0.961874783039093, -0.3359207808971405, -0.5851027369499207, 0.4236659109592438, -0.6763754487037659, -1.0600075721740723, -0.5225379467010498, 0.7494432330131531, 0.1212790235877037, -1.3035531044006348, -0.4510273337364197, 0.48565569519996643, -0.16802853345870972, 0.5336486101150513, 0.6159399747848511, -0.5646734237670898, -1.1404447555541992, 0.45597517490386963, 0.6814929842948914, -0.1710861474275589, -1.5550721883773804, 0.3510937988758087, 0.3957541882991791, -0.7020915746688843, 0.14801843464374542, 0.46247419714927673, 0.3162767291069031, 1.0122865438461304, -0.4452080726623535, 0.12245666235685349, 0.2631746232509613, -0.230926051735878, 0.9342790842056274, -1.402971863746643, -0.05608608201146126, -0.4087532162666321, -0.09313378483057022, -0.8169422745704651, -0.4054450988769531, 0.2155228853225708, -0.8161468505859375, 0.5266821980476379, 0.4464500844478607, 0.3944801390171051, 0.19120600819587708, 0.9515941739082336, -1.09306800365448, -0.5011948347091675, -1.3602668046951294, 0.11656002700328827, -0.33329489827156067, -0.2690173089504242, 1.2638732194900513, 0.9269051551818848, -0.28456437587738037, -0.10417963564395905, -0.10920710116624832, 0.6660799384117126, 0.4999735355377197, 0.37293100357055664, -0.8545946478843689, 0.4599573016166687, -0.12050549685955048, -1.4653759002685547, -0.0032700742594897747, 1.513175368309021, 0.6368417143821716, -0.5435686707496643, 0.7430323362350464, -0.20783433318138123, -1.3463771343231201, -0.7723928093910217, 0.3909343481063843, -0.9132813811302185, -0.5860750675201416, -0.1604192554950714, 0.42606422305107117, -0.3480735719203949, -1.3176647424697876, 0.38630247116088867, -1.4880545139312744, 0.946181058883667, -0.17984959483146667, -0.3980642855167389, 0.037635572254657745, -1.0196818113327026, 1.7155427932739258, 0.20479431748390198, -1.00529944896698, -0.5536376237869263, -0.2513976991176605, -0.3045039176940918, 0.06576919555664062, -0.1361808478832245, 0.435964971780777, 0.4346553385257721, -0.2863720953464508, 0.07503257691860199, -0.05068763718008995, -0.6326425075531006, 0.27167174220085144, -0.33428144454956055, 0.9180259704589844, 1.7736583948135376, -0.6974865794181824, -0.9449548721313477, 0.584531843662262, -2.174982786178589, -0.27270400524139404, 0.005872175097465515, 0.41405579447746277, -0.007045959588140249, 0.47861212491989136, -0.563366711139679, -0.7248114943504333, -0.42725151777267456, -0.36394575238227844, -0.8604978919029236, 0.044454917311668396, 0.4144230782985687, -1.3687371015548706, 0.6086287498474121, 0.5584607124328613, 0.04869889095425606, -0.033054545521736145, -0.2665463089942932, 0.26442956924438477, -0.027541175484657288, -0.3531460464000702, 0.20735138654708862, 0.8624254465103149, -0.03876166418194771, -0.8746585249900818, 0.5788001418113708, -0.2684999704360962, -0.012432505376636982, -0.5570873022079468, 0.05694035068154335, -1.283079981803894, -0.4138457775115967, 0.31516024470329285, -0.5407861471176147, -0.4173678159713745, -1.4148286581039429, 0.23890714347362518, 0.646375834941864, 0.8468462824821472, -0.09849146753549576, 0.10684450715780258, 0.6738775968551636, -0.5854650139808655, 1.1298519372940063, -0.9683466553688049, 0.48374512791633606, -0.4817240536212921, 0.7252498865127563, 0.40545329451560974, -0.15623854100704193, -0.24912402033805847, 1.2788323163986206, 0.6988237500190735, 0.9678719639778137, 0.05291399359703064, 0.4225432872772217, -0.428775429725647, -0.16722476482391357, -0.9527789950370789, 0.0936044454574585, -0.1513051688671112, -0.7851346731185913, 0.4979039132595062, 0.9407074451446533, 0.802685022354126, 0.23989832401275635, -1.3238577842712402, -0.8758332133293152, 0.062339622527360916, 1.615985631942749, 0.09626762568950653, 1.2643730640411377, -0.14616195857524872, -1.4279705286026, 0.24320082366466522, 1.3236274719238281, 0.5687245726585388, 0.533959686756134, -1.5599805116653442, -2.980412006378174, -1.2448647022247314, -1.132168173789978, -1.2017649412155151, -1.783596158027649, 0.6517536640167236, 0.11947344243526459, 0.3505638837814331, -0.13343174755573273, 0.30901309847831726, 0.26621758937835693, 0.0226268507540226, 0.7966786623001099, 1.155301809310913, 1.0576367378234863, 0.48057103157043457, -0.6153135299682617, 1.0988949537277222, 0.5821134448051453, 0.45535361766815186, 0.03363905847072601, -0.29277920722961426, 0.24118134379386902, 1.4211597442626953, -0.7756827473640442, -0.05456916615366936, -0.5999900102615356, 0.6888287663459778, 0.20799648761749268, -0.04474903643131256, -0.36143067479133606, 0.7174198031425476, -1.5335029363632202, -0.12124749273061752, -0.37970101833343506, -0.4454793930053711, -0.029831983149051666, 0.20779567956924438, 0.9108465313911438, -8.572277069091797, -0.5843579173088074, -0.27352267503738403, -0.9781877994537354, 0.09219043701887131, -1.410757064819336, 0.9357599020004272, -0.27810120582580566, 0.879097580909729, -0.6742694973945618, 0.04283275827765465, -0.6731818914413452, 0.24152575433254242, -0.4032735824584961, 0.5113284587860107, 0.8019794821739197, 0.9148057103157043, -0.4643828272819519, -0.3049245774745941, 0.04206832870841026, -0.5588896870613098, 0.7891738414764404, -0.39810678362846375, 0.17151930928230286, 1.6871365308761597, 0.2056846171617508, 0.4380694031715393, -0.2889852821826935, 0.5109127759933472, -0.895359992980957, -0.5360799431800842, -0.13900476694107056, 1.760231852531433, 0.20568905770778656, 1.3469939231872559, -1.5738407373428345, 1.534444808959961, -0.2716606855392456, -0.010365107096731663, -0.23151279985904694, 1.1187909841537476, 0.2976897656917572, -0.6659441590309143, -1.3675440549850464, -1.0733897686004639, 0.6877702474594116, -0.305267333984375, -0.12288613617420197, 0.20374861359596252, -0.2636800706386566, -0.27422940731048584, 0.34540891647338867, 0.25753891468048096, 0.07469360530376434, -1.0418243408203125, 0.24868468940258026, -0.5172809362411499, -0.08435621857643127, -0.9353931546211243, -0.2433704286813736, -0.8047808408737183, 0.6329349875450134, -0.47248658537864685, -0.7640265822410583, 0.5232038497924805, -0.538969099521637, 0.4490082561969757, 0.48965686559677124, 0.04598400741815567, -0.0988067090511322, -0.29945528507232666, -0.8336626887321472, 2.120267629623413, -0.33121252059936523, -0.1011030301451683, 0.2366396188735962, -0.2621708810329437, 1.1444244384765625, 0.05288258194923401, 0.38329342007637024, 0.29902583360671997, 0.19366370141506195, -0.2659197449684143, -0.14779934287071228, 0.058464959263801575, -0.0025101788341999054, -0.14322124421596527, -0.5477614998817444, 0.07719991356134415, -0.3179193139076233, -0.471420019865036, 0.3869127333164215, -0.37484508752822876, 0.8055481314659119, 0.7659769058227539, -0.1339700073003769, -0.010127471759915352, -1.5738282203674316, -0.27853265404701233, -0.13893018662929535, 0.3670775592327118, -0.28464463353157043, -0.3694305121898651, 0.5033320784568787, -1.0393314361572266, 0.13405901193618774, -1.0240412950515747, 1.4260464906692505, -0.13887590169906616, -0.49197983741760254, -0.6660588979721069, 0.43244296312332153, 0.10035282373428345, 0.10773645341396332, -0.7516945004463196, 1.3721141815185547, -0.05554148182272911, -0.8449153900146484, 0.36398831009864807, 0.6165454983711243, -1.3668588399887085, 0.43293535709381104, -0.6599100232124329, 0.17266444861888885, -1.4232043027877808, 0.0665803775191307, -0.11451026052236557, -1.9116917848587036, -1.0673096179962158, -0.2559151351451874, 0.17529071867465973, -1.3049172163009644, -1.8467035293579102, -0.970859169960022, -0.42668643593788147, 0.7353352308273315, -0.45909467339515686, -0.9385919570922852, -0.3558831810951233, -0.03419032692909241, -0.10055292397737503, 0.7138963937759399, 0.04600081592798233, -0.5959969162940979, 0.03035157173871994, -1.0303326845169067, -0.8468261361122131, 0.32923898100852966, 0.286232590675354, -0.848868727684021, 0.07611870020627975, -1.2489277124404907, 0.5587111711502075, 0.29850295186042786, 0.0017706656362861395, 0.45986276865005493, -0.43180209398269653, 0.40724772214889526, -0.35393843054771423, -0.8048621416091919, 0.7771405577659607, -0.38733211159706116, -1.0092105865478516, -0.22446712851524353, -0.9013864398002625, -1.1159305572509766, -1.2684988975524902, 0.6903877854347229, -0.7158509492874146, -0.7942239046096802, -0.39561235904693604, 0.8073723316192627, -0.7281756401062012, -0.14743277430534363, -1.045291543006897, -0.2934766411781311, 0.12894968688488007, 0.01546936109662056, 0.4523395001888275, -0.3392772376537323, -0.8373653292655945, 1.557448148727417, 0.3637892007827759, -0.24023191630840302, -0.5023307204246521, 0.7589005827903748, -0.2899424433708191, -0.24818694591522217, 0.11501648277044296, -0.25853943824768066, 0.7146950960159302, -0.06838975846767426, 0.006799999624490738, -0.9485470652580261, -0.6898091435432434, 0.4966558814048767, -0.10068941861391068, 0.4969300925731659, 2.054154872894287, -0.26687943935394287, -0.6870883107185364, 0.16206671297550201, 0.12687397003173828, 0.10391803085803986, 0.9158048033714294, 1.356231451034546, 0.36981719732284546, -0.5756103992462158, -0.11713157594203949, -0.9612404704093933, 1.0862499475479126, -0.6417815685272217 ]
172
0704.0174
Miguel Nebot
Francisco J. Botella (Valencia U. & Valencia U., IFIC), Miguel Nebot (Lisbon, IST)
Reparametrization Invariance, the controversial extraction of $\alpha$ from $B\to\pi\pi$ and New Physics
25 pages, 40 figures
null
null
IFIC/07-17, FTUV-07-0402
hep-ph hep-ex
null
The extraction of the weak phase $\alpha$ from $B\to\pi\pi$ decays has been controversial from a statistical point of view, as the frequentist vs. bayesian confrontation shows. We analyse several relevant questions which have not deserved full attention and pervade the extraction of $\alpha$. Reparametrization Invariance proves appropriate to understand those issues. We show that some Standard Model inspired parametrizations can be senseless or inadequate if they go beyond the minimal Gronau and London assumptions: the single weak phase $\alpha$ just in the $\Delta I=3/2$ amplitudes, the isospin relations and experimental data. Beside those analyses, we extract $\alpha$ through the use of several adequate parametrizations, showing that there is no relevant discrepancy between frequentist and bayesian results. The most relevant information, in terms of $\alpha$, is the exclusion of values around $\alpha\sim \pi/4$; this result is valid in the presence of arbitrary New Physics contributions to the $\Delta I=1/2$ piece.
[ { "created": "Mon, 2 Apr 2007 11:36:35 GMT", "version": "v1" } ]
2007-05-23
[ [ "Botella", "Francisco J.", "", "Valencia U. & Valencia U., IFIC" ], [ "Nebot", "Miguel", "", "Lisbon, IST" ] ]
07
[ -0.9771065711975098, 0.25697043538093567, 0.681399941444397, -0.3140049874782562, -1.1811031103134155, 0.008932983502745628, -0.3125975728034973, -0.9869129657745361, 0.3646453320980072, -1.3920506238937378, -0.6635729670524597, 0.8464425206184387, 0.8658420443534851, 1.0608450174331665, -1.1762460470199585, -1.3811490535736084, 0.08077899366617203, -0.4965386986732483, 0.5321970582008362, -0.5890569686889648, -0.10841749608516693, -0.5033825039863586, -0.883354902267456, 0.04016116261482239, -0.7473791241645813, -0.030906155705451965, -0.345516175031662, 0.19432756304740906, -1.0646004676818848, 0.47088146209716797, -0.18230441212654114, -0.12877540290355682, -0.01967436634004116, 0.553670346736908, -0.7123202681541443, 0.07481051236391068, 1.638255000114441, -0.32964497804641724, -0.3441505432128906, -0.014525923877954483, -0.21121284365653992, 0.9022616744041443, 0.4403962790966034, 0.05410715937614441, -0.07609312236309052, -0.7059703469276428, -0.18029701709747314, -0.37611591815948486, 0.7696430087089539, 1.0441795587539673, 0.013458249159157276, 0.2853415608406067, 0.2407185435295105, 0.2849246561527252, 0.7001413702964783, 1.423752784729004, -0.25058692693710327, -0.1260865032672882, 0.730046272277832, -0.15177269279956818, 0.919021725654602, -0.18757221102714539, -0.05271303653717041, -0.3635910153388977, -1.2008033990859985, 0.37341880798339844, -1.011032223701477, -0.8040476441383362, 0.5692400336265564, -0.16893872618675232, -0.8825033903121948, -0.42024365067481995, 0.2787046432495117, 0.11356987804174423, -0.5968843102455139, -0.1125248447060585, 0.20829084515571594, 0.43802374601364136, 0.8880163431167603, -0.0009316122741438448, -1.3580979108810425, -0.5584022998809814, -0.28630632162094116, 0.7077339887619019, 1.1338120698928833, -0.37718456983566284, -0.5333541631698608, -0.7367733120918274, -0.9559860825538635, 0.6986966729164124, -0.2557598352432251, -1.5800107717514038, -0.19418972730636597, 0.4868253767490387, -0.43015143275260925, 0.5794520974159241, -0.36514538526535034, -0.15387143194675446, 0.771066427230835, 0.43276897072792053, -1.7227888107299805, -0.05086274445056915, 0.2086000293493271, 0.17004957795143127, 0.34974029660224915, 0.6220690011978149, 0.25971388816833496, 0.19128811359405518, 0.30209338665008545, 0.7488510608673096, -0.640559732913971, 0.5361085534095764, -1.0864683389663696, 1.3683933019638062, -0.8600639700889587, -0.9900882840156555, -0.7044052481651306, -0.5834392309188843, 0.5008723735809326, -0.09167071431875229, 0.19971758127212524, -1.2282828092575073, 0.008089426904916763, 0.4802703857421875, 0.11145729571580887, 0.28071510791778564, -0.2402878999710083, -0.4390530586242676, 0.2591828405857086, 0.01856367476284504, -1.4918185472488403, -0.7165752053260803, -0.021190611645579338, 0.530813992023468, -0.5477245450019836, -1.2390720844268799, -0.8273131251335144, -0.4509522318840027, -0.28491923213005066, -0.4381038546562195, -0.5565946102142334, -0.6052772402763367, 0.8981318473815918, -1.1904937028884888, -0.6035264730453491, -0.11601772904396057, -0.2839033007621765, 0.14299076795578003, -0.41290712356567383, 0.7908716797828674, -0.06119582802057266, -1.0883009433746338, 0.3948236405849457, 0.060899682343006134, -0.12856236100196838, -0.3633376359939575, 1.0693011283874512, -0.09329479187726974, -0.19033847749233246, 0.12069450318813324, 0.764981746673584, -0.3817168176174164, 1.9707186222076416, -0.42597854137420654, -0.7280989289283752, -1.5035111904144287, 0.2197142392396927, -0.6654064655303955, -0.5954975485801697, -0.25996583700180054, -0.15151362121105194, -0.04317516088485718, 0.6182446479797363, 0.5142260789871216, -0.5164393782615662, -1.125641942024231, 0.10608243197202682, 0.0698147863149643, -0.4732392728328705, 0.3699715733528137, 1.12868332862854, -0.8725253939628601, -0.2628386318683624, -1.0455927848815918, 0.010090617462992668, 0.08599685877561569, -1.8040721416473389, -0.6454921960830688, -0.8232991695404053, -0.20229116082191467, -1.0031682252883911, -2.3491108417510986, -1.8633826971054077, 0.3611661493778229, -0.35182759165763855, -0.2841380536556244, -0.5436747074127197, 0.4399714171886444, -0.220852330327034, 0.8650217056274414, -1.0641261339187622, -0.8763977289199829, 0.6438397169113159, -0.13679639995098114, 0.8990191221237183, 0.5906850099563599, 0.024528929963707924, 1.1957329511642456, -1.373690128326416, -0.33908310532569885, 0.3395056128501892, 0.5215554237365723, 0.9990984797477722, -0.3758218288421631, 1.7125608921051025, -0.33706721663475037, 0.7976901531219482, -1.4964362382888794, -0.21592998504638672, -0.05007259175181389, 1.0053399801254272, 0.8711303472518921, 0.6096910238265991, 0.5666972398757935, 0.5865042805671692, 0.3642944395542145, -0.5725593566894531, -0.7758433222770691, -0.3707083463668823, -0.3688989579677582, 0.857538104057312, -0.34305503964424133, -1.6211968660354614, -0.22586554288864136, 0.7663601040840149, 0.33052530884742737, -0.24976302683353424, -0.7805096507072449, 0.5930509567260742, -0.19361132383346558, 0.11481999605894089, -0.23595859110355377, 0.4532630741596222, 1.0848509073257446, -0.35760441422462463, -0.003403808455914259, 0.6975307464599609, -0.361793577671051, 0.7207194566726685, -0.5238997936248779, 0.3540181815624237, -1.4162657260894775, -0.20523422956466675, 1.3159536123275757, 0.4609011709690094, 0.5412547588348389, -0.05363554134964943, -1.0353652238845825, -0.3462943434715271, 0.21669770777225494, -0.15224643051624298, 0.6692206263542175, 0.04025310277938843, 0.7463321685791016, 0.2722996175289154, -0.7627367973327637, -0.0033569615334272385, -0.0144092021510005, -0.18605566024780273, -0.043343253433704376, -1.1035810708999634, -0.3332040011882782, 0.30139413475990295, -0.5217331647872925, -0.6943899393081665, 0.24511374533176422, 1.1055850982666016, -0.3082781732082367, 0.08978047966957092, -0.5873083472251892, -0.8020200729370117, 0.8644319176673889, -0.1790967583656311, -0.32518231868743896, -0.6073302030563354, -0.6195029616355896, 0.39296016097068787, -0.1975286900997162, -0.0035365617368370295, -0.5746744871139526, 0.44528159499168396, -0.7980183362960815, 0.2955811023712158, -1.027259111404419, -0.8300687074661255, 0.05415304750204086, 0.6116755604743958, -0.2595435678958893, 1.3061082363128662, 0.25773829221725464, 0.25382691621780396, 1.4319465160369873, -0.5724785327911377, 0.3672516644001007, 0.38366663455963135, -0.7867454290390015, 0.9658212065696716, 0.9032692909240723, -0.019357044249773026, -0.5543712973594666, -0.9897566437721252, 0.16918084025382996, 0.40974265336990356, -1.2307049036026, -1.2708491086959839, 0.49165910482406616, 1.4534388780593872, -0.11051827669143677, 0.10673132538795471, -0.7174167633056641, 0.04040607437491417, 1.3211686611175537, 1.3788644075393677, 0.12023377418518066, -0.01851402409374714, -0.10005376487970352, 1.4433057308197021, -0.5493035316467285, 1.2822295427322388, 0.4827183485031128, -0.12371954321861267, 1.113610863685608, 0.20463180541992188, -0.721876859664917, 0.18998336791992188, 0.08350412547588348, -0.0586664080619812, -0.6432721018791199, -0.03952571749687195, -0.39434680342674255, 0.5340394377708435, -0.22588907182216644, 0.7881619334220886, -0.10336741805076599, -0.9677412509918213, -0.4407564103603363, -0.21982695162296295, 0.22508251667022705, -0.6148478984832764, 0.6731820702552795, -0.3628142476081848, 0.2004290670156479, 1.3275554180145264, 1.1885958909988403, 0.8439172506332397, -0.7217338681221008, 0.675731360912323, 0.2471228986978531, -0.020200520753860474, -0.31413501501083374, 0.3709211051464081, 0.9482860565185547, -0.2561303973197937, -0.8901909589767456, 0.3770587146282196, -0.9364008903503418, -1.1875531673431396, 0.5505675077438354, 0.47990548610687256, 0.2200755923986435, -1.0816588401794434, -0.0015237148618325591, 0.08248617500066757, 0.5413175225257874, -0.38653564453125, -0.9610599279403687, 0.9280893206596375, 0.4711396098136902, -0.016201261430978775, -0.03565297648310661, -0.4463513493537903, -1.0825697183609009, 0.10676775872707367, -0.4275406002998352, 0.4130817651748657, -1.5076404809951782, 0.8873618245124817, 0.5598776936531067, -1.1776926517486572, 0.885229766368866, -1.2175514698028564, -0.3898037374019623, -0.3989381492137909, 0.46952706575393677, 0.16715949773788452, -1.0149273872375488, -0.065091572701931, 0.7634551525115967, 0.19855055212974548, 0.8477386832237244, 0.09571806341409683, 0.2958313524723053, -0.5134130120277405, -0.5851148366928101, 1.5202202796936035, -0.671890914440155, -0.48205503821372986, -0.317324697971344, -0.33594658970832825, 0.05833502486348152, 0.6262220740318298, 0.10743942111730576, -0.36768200993537903, -0.24433378875255585, -1.0668182373046875, -0.3479136526584625, 0.2191598266363144, -0.30629754066467285, 0.04151757061481476, 0.028955649584531784, -0.3343645930290222, -0.2674027681350708, 0.25922226905822754, 0.0449637807905674, -0.9015179872512817, 0.37838390469551086, -1.9732977151870728, 0.027409574016928673, -0.026225103065371513, 0.3740423619747162, -0.679149866104126, 0.5279085636138916, -0.4705731272697449, -0.293645441532135, 0.9684156775474548, -0.07891163975000381, 0.025082014501094818, 0.13677822053432465, -0.7315378785133362, 0.5273417234420776, 0.6166620850563049, 0.9555577039718628, 0.955150306224823, 0.3143402338027954, -1.0212856531143188, -1.3242450952529907, 0.3444061279296875, 1.1952621936798096, -0.1302701234817505, 0.6116155385971069, 0.6486948132514954, -0.39048904180526733, 0.06177237257361412, 0.5354756116867065, -0.25938189029693604, -1.0093191862106323, -0.3329077959060669, 0.21560248732566833, 0.22437024116516113, 0.35674479603767395, 0.04523786902427673, -0.9142796993255615, -0.3320707678794861, 0.5041899681091309, -0.5460489392280579, -1.2372019290924072, 0.6135397553443909, -0.4988483786582947, -0.3089749217033386, 0.17308691143989563, 1.0136257410049438, 0.40865758061408997, 1.3320953845977783, 0.6477571725845337, -1.1104334592819214, 0.055632177740335464, 0.41189464926719666, 2.455213785171509, 0.253511518239975, -1.0640498399734497, 0.12461564689874649, 1.4848848581314087, -0.2242235243320465, 0.2595653235912323, -0.6352292895317078, -1.5136088132858276, -1.0129265785217285, -0.7110625505447388, 0.2807601988315582, 0.053929653018713, -1.0988953113555908, -0.17356030642986298, 0.33945590257644653, 2.636186361312866, -0.4649752080440521, 0.24068398773670197, 0.3114015758037567, -1.030985713005066, 0.7491773366928101, -0.286989688873291, -0.14725537598133087, -1.7016831636428833, -0.041538119316101074, -1.2355352640151978, 1.2828887701034546, -0.27944886684417725, 0.4124827980995178, -1.1775258779525757, -0.8801984786987305, 0.7805759906768799, 0.42755603790283203, -0.16215427219867706, -0.6323611736297607, 0.2517630159854889, -0.6150984168052673, 0.4922527074813843, -0.8562291860580444, -3.2211546897888184, -0.23386384546756744, -1.4100271463394165, 1.1037808656692505, 0.2643207013607025, -0.13495700061321259, 0.2701168358325958, 0.3496580123901367, -0.3760673701763153, -0.3632020950317383, 2.0165741443634033, 0.11252616345882416, 1.0464491844177246, -0.7091821432113647, -0.6044330596923828, 0.3349629044532776, -0.2481912076473236, 0.36042624711990356, -0.26013392210006714, -0.02781086042523384, -0.20959490537643433, -0.9394091367721558, 0.5069770812988281, 0.5422685742378235, -0.06886536628007889, -0.339659720659256, -1.1166571378707886, 0.2648013234138489, 0.1988075077533722, -1.1135013103485107, -0.3421878516674042, -1.248180627822876, 0.13348136842250824, -0.1697898656129837, 0.05779346451163292, -1.186901330947876, -0.05995069444179535, 1.4238576889038086, -0.9159755110740662, -6.818041801452637, 0.45988133549690247, -0.28527000546455383, -0.2648424804210663, 0.33953818678855896, 0.6346802115440369, 0.6906111836433411, 0.044451754540205, 0.04722202196717262, 0.03526012971997261, 0.8265056610107422, 0.9733167290687561, -0.5344851613044739, -0.6793896555900574, 0.6047309041023254, 0.5643307566642761, -0.06403233110904694, -0.2750597596168518, -0.29433754086494446, 0.2554447054862976, -0.1850425899028778, 0.46598780155181885, 0.3139219284057617, 0.030018901452422142, 1.689927577972412, 0.02877315692603588, 0.6331743597984314, 0.8828654289245605, -1.3192696571350098, 1.2769147157669067, 0.5061142444610596, 0.6774150729179382, 0.7801949381828308, 0.19203190505504608, -1.4358705282211304, -0.14676795899868011, -0.15597131848335266, -0.6934817433357239, -0.19743596017360687, -0.5255730152130127, 0.8355167508125305, -0.03898623213171959, 0.7056535482406616, -0.053612228482961655, 0.33768996596336365, -0.37251946330070496, 0.2007807195186615, -0.33491355180740356, 0.17799188196659088, -0.8853960633277893, -0.24984630942344666, -0.02100732922554016, -0.12899640202522278, -0.29967692494392395, -0.9697253704071045, -1.3993545770645142, 0.8972460031509399, 0.267853319644928, 1.1552218198776245, -0.8153911828994751, -0.8038506507873535, -0.5908913612365723, 0.4614546000957489, 0.10392308980226517, -0.013993283733725548, -2.1949527263641357, 0.36409956216812134, 1.1109676361083984, 0.34401652216911316, 0.5308815240859985, -0.8245885968208313, -0.19139882922172546, 0.22420085966587067, -0.7811357378959656, -0.31471332907676697, 0.40095609426498413, -0.7624220848083496, 1.541512131690979, 0.5371477603912354, 0.2533982992172241, -0.31140217185020447, -0.0638614296913147, -0.32145917415618896, 0.13428711891174316, 0.07926106452941895, -1.3604516983032227, -0.4395287334918976, -0.8917822241783142, 0.3437460958957672, 0.11824489384889603, 0.20563170313835144, -0.2879880666732788, 0.31058168411254883, -0.029849069193005562, 0.19219207763671875, 0.439626544713974, 0.4741351008415222, -1.0076991319656372, -0.9233978986740112, -0.3210398852825165, -0.9977542757987976, 0.24873745441436768, -0.26621153950691223, -0.632064938545227, 2.004267692565918, 0.24117368459701538, 0.0881899818778038, -1.1198949813842773, 0.8805673718452454, -0.8751900792121887, 1.1109354496002197, -0.6417229771614075, -0.42701807618141174, -2.0421078205108643, -0.32632601261138916, -0.6219423413276672, -0.2746555209159851, 0.5858794450759888, -0.33228129148483276, -0.9697141051292419, -1.0839308500289917, 0.9494944214820862, -0.5909244418144226, -0.5456622838973999, 0.6527647972106934, -0.7938826084136963, 0.655845046043396, -0.10719604045152664, -0.5170041918754578, -0.8976798057556152, -0.35606256127357483, -0.6667255163192749, -0.21000707149505615, 0.6087855100631714, 0.12277913838624954, -1.1962810754776, -1.120625376701355, 1.5106648206710815, -0.023555021733045578, 1.1624975204467773, 0.2509436011314392, 1.2616307735443115, 1.3466628789901733, 0.21100816130638123, -0.4717956781387329, 0.1508231908082962, 0.5889674425125122, 0.38431084156036377, -0.9819952249526978, -0.3315695524215698, 0.545176088809967, 2.2518115043640137, 0.5157892107963562, 0.8009096384048462, -0.4540390074253082, -0.46997907757759094, -1.579270839691162, -0.6377961039543152, -0.7428392171859741, -0.7071936130523682, -0.7268688678741455, 0.09224780648946762, 0.26723378896713257, 0.644313633441925, -0.1556405872106552, 0.744625985622406, 0.2543894946575165, 0.349455863237381, -0.7072793841362, 0.5984735488891602, 0.49311795830726624, 0.5386738777160645, 0.9629905223846436, 1.1534416675567627, -0.6673007011413574, -0.998624861240387, -1.2632590532302856, 2.360802412033081, 0.2913968861103058, -0.9481289386749268, -0.004074283875524998, 0.34128835797309875, -0.3449067175388336, 1.2298493385314941, 0.40647780895233154, 1.7897653579711914, -0.48848989605903625, 0.44178470969200134, -0.4158764183521271, 0.03324784338474274, -0.33680012822151184, -0.8647622466087341, -1.0749579668045044, 0.27719151973724365, -0.5612397789955139, -0.44313234090805054, 0.21651843190193176, 0.4738641381263733, 0.6210492253303528, 0.6143443584442139, -1.0651793479919434, 1.4834263324737549, 2.1200454235076904, 0.3793609142303467, -0.5424668192863464, -0.1450357437133789, 0.45166459679603577, 0.3593016564846039, -0.38769254088401794, -2.0839381217956543, -0.34746167063713074, 0.6300415396690369 ]
173
0704.0175
Stephen C. Davis
Luca Amendola, Christos Charmousis and Stephen C. Davis
Solar System Constraints on Gauss-Bonnet Mediated Dark Energy
13 pages
JCAP 0710:004,2007
10.1088/1475-7516/2007/10/004
LPT-ORSAY 07-20
astro-ph gr-qc hep-th
null
Although the Gauss-Bonnet term is a topological invariant for general relativity, it couples naturally to a quintessence scalar field, modifying gravity at solar system scales. We determine the solar system constraints due to this term by evaluating the post-Newtonian metric for a distributional source. We find a mass dependent, 1/r^7 correction to the Newtonian potential, and also deviations from the Einstein gravity prediction for light-bending. We constrain the parameters of the theory using planetary orbits, the Cassini spacecraft data, and a laboratory test of Newton's law, always finding extremely tight bounds on the energy associated to the Gauss-Bonnet term. We discuss the relevance of these constraints to late-time cosmological acceleration.
[ { "created": "Mon, 2 Apr 2007 11:46:53 GMT", "version": "v1" }, { "created": "Tue, 2 Oct 2007 09:31:11 GMT", "version": "v2" } ]
2009-06-23
[ [ "Amendola", "Luca", "" ], [ "Charmousis", "Christos", "" ], [ "Davis", "Stephen C.", "" ] ]
07
[ 0.9498307108879089, -0.3289932906627655, -0.539370596408844, 0.7540784478187561, 0.09665463119745255, 0.24267999827861786, -0.5602510571479797, 1.1308565139770508, 0.982904314994812, -1.9862338304519653, 0.31905120611190796, 0.7616961002349854, -0.03905148059129715, 0.2986559271812439, -0.12721289694309235, -0.319108784198761, 0.9160826802253723, -0.8268194198608398, -0.8441959023475647, 0.6183772087097168, -0.4172869622707367, -0.264003187417984, -0.852074146270752, 1.0728083848953247, -0.13217787444591522, -1.4828808307647705, -1.3275177478790283, -0.4781140089035034, 1.208114743232727, -1.0051255226135254, -0.09333223849534988, 0.639380693435669, -0.9023229479789734, 0.44860130548477173, 0.8264740705490112, 0.5732020139694214, -0.9910266399383545, -0.45240575075149536, -0.8822789192199707, -0.8344578146934509, -0.6117733716964722, 0.5048409104347229, 0.060530733317136765, 0.32616615295410156, 1.2229492664337158, 0.16715513169765472, 0.15475425124168396, 1.053104281425476, -0.9003196954727173, 0.09131335467100143, -0.44063305854797363, 0.826269805431366, 1.340712547302246, 0.5588068962097168, 0.1365312784910202, -1.7919161319732666, 1.6193615198135376, -1.0528132915496826, -0.4862666726112366, -1.4052730798721313, -0.3209041357040405, -0.20629796385765076, 0.09046778827905655, 0.4235307574272156, 0.08664314448833466, 0.44007280468940735, 0.2564675509929657, 1.2542309761047363, 0.26014789938926697, -0.08241988718509674, 0.17747274041175842, -0.6401313543319702, 0.2323528379201889, 0.11860363185405731, -1.7250787019729614, -0.6207886934280396, 0.8518308401107788, 0.02793579362332821, 0.20890311896800995, -0.2438548505306244, 0.9711196422576904, 0.0749049261212349, -0.10930422693490982, 0.10696954280138016, 0.44792553782463074, -0.23684976994991302, -1.0390933752059937, 0.15521222352981567, 0.2488439679145813, -0.4798314869403839, -0.7077797055244446, -0.24383214116096497, 0.22541403770446777, -0.3790494501590729, 1.286708116531372, 0.7828836441040039, -0.772284746170044, -1.0118510723114014, 0.6476680040359497, 0.6829979419708252, -0.09611576050519943, 0.20238254964351654, 0.1870691329240799, 1.1474062204360962, 0.6271728873252869, 0.41643667221069336, 0.09776906669139862, -0.938139021396637, -0.26611271500587463, 0.6496689915657043, 0.22297857701778412, -1.3998332023620605, -0.10419060289859772, -0.22920042276382446, -0.333146333694458, 0.710270345211029, 0.008504190482199192, 0.4395645260810852, -1.260697364807129, 1.0310297012329102, -0.7921265363693237, -0.5605294704437256, -0.14438611268997192, -0.4247456192970276, 0.18500110507011414, -0.8529012203216553, -0.01841404289007187, -0.02702992968261242, -0.19758674502372742, 0.7934257984161377, 0.6932160258293152, 0.25686830282211304, -1.196449637413025, 0.5153402090072632, -1.5443350076675415, 1.1573508977890015, 0.23607908189296722, -0.28141820430755615, 0.4142150282859802, -0.6567607522010803, -0.046262871474027634, -0.46113744378089905, -0.22014784812927246, 1.3897897005081177, 0.7998760342597961, -0.29429757595062256, -0.6026461720466614, -0.4978735148906708, 0.3190371096134186, -0.9411476850509644, 0.6024861931800842, -1.3403356075286865, 0.067679762840271, 0.1631624847650528, 0.03779850900173187, 0.24361062049865723, 1.4057915210723877, -0.5296069979667664, 0.7766436338424683, 0.28747761249542236, -1.0017153024673462, 0.5813689827919006, 0.006977071054279804, 0.04266245290637016, -0.11572600901126862, 0.42940327525138855, 0.09996574372053146, -0.5091459155082703, -0.23283308744430542, 0.34529441595077515, -1.059998631477356, -1.432416319847107, 0.3896748125553131, -0.17359212040901184, 0.16893906891345978, -0.7742445468902588, 0.5175615549087524, -0.6290512084960938, -1.4550954103469849, 0.7327998280525208, 0.34970593452453613, -0.7877570390701294, -0.4900963604450226, 0.023636119440197945, 0.5022323131561279, -1.4625499248504639, 0.9270191788673401, -0.5422208309173584, -0.18105030059814453, 1.1881505250930786, -1.2542670965194702, 0.7668525576591492, -1.4788014888763428, 0.9838060736656189, 0.7134172320365906, 0.5644896030426025, 0.8195002675056458, -0.7613955140113831, -0.6165469884872437, 0.5745925307273865, 0.8973181247711182, 1.0681618452072144, -0.43847590684890747, -0.024274561554193497, -0.6715020537376404, 0.26367026567459106, 0.006489899475127459, 1.4731003046035767, 0.8459134697914124, 0.22081749141216278, 0.18581554293632507, 0.7973506450653076, 0.4440663158893585, -0.572372317314148, 0.3591427803039551, 0.014131923206150532, -1.032606601715088, -1.1206622123718262, -0.45319968461990356, 1.1805962324142456, 0.6175957918167114, -0.04635853320360184, 0.46872615814208984, -0.4899217486381531, -0.7540962100028992, 0.07707567512989044, 1.1791024208068848, -0.13877277076244354, -0.008072761818766594, 0.2153923362493515, -0.6226329207420349, 0.5316057205200195, -0.1379692107439041, -1.1634966135025024, -1.8665335178375244, 0.8179686069488525, -0.5499786138534546, 0.17616383731365204, -0.7888506054878235, 1.7144540548324585, 0.36485037207603455, 1.413637638092041, 0.9587173461914062, -1.2482391595840454, -0.12126082926988602, 0.26531803607940674, -0.043991897255182266, -0.1701122224330902, 1.1771241426467896, -0.1663885861635208, -0.8303508758544922, 0.48788389563560486, 0.3822653889656067, 0.22194187343120575, 0.16606028378009796, -0.12551411986351013, 0.2909356355667114, -0.5387287735939026, -0.5659481883049011, 0.7939954400062561, 0.23632851243019104, 0.6171056032180786, 0.34930285811424255, -0.6499813795089722, 0.23376059532165527, -0.031171364709734917, 1.3029990196228027, 0.32078832387924194, -0.1848318725824356, 0.5684469938278198, -0.9823242425918579, 0.4636620879173279, 0.5397812724113464, 1.1305038928985596, 0.3117606043815613, 0.15547405183315277, -0.49463769793510437, -0.5271763801574707, -0.6431030631065369, -0.5888025760650635, -0.10318946838378906, 1.7036845684051514, 0.9354226589202881, 1.4043500423431396, 0.4091811776161194, -0.599347710609436, -0.9523190259933472, -0.03938973695039749, -0.5026155114173889, 0.15768590569496155, -0.02251262217760086, -0.4380890429019928, -0.6167809367179871, 0.7590154409408569, 1.102739691734314, -0.6977589130401611, 0.3238697052001953, -1.9358018636703491, 0.10926420241594315, 0.022594043985009193, 0.30000001192092896, -0.0781262218952179, -0.4391077756881714, 0.13671991229057312, 1.2013343572616577, 0.020241430029273033, -0.35571348667144775, -0.17261219024658203, 0.0332024022936821, -0.11174307763576508, -0.2608315348625183, -0.28106603026390076, -1.2467937469482422, 1.0299488306045532, 0.2518253028392792, -0.17628102004528046, -0.07043390721082687, -0.3042065501213074, 0.539713978767395, 0.2604147791862488, 0.3816285729408264, 0.017609957605600357, 0.7793399691581726, 0.3043241798877716, 1.011271357536316, -0.6302409768104553, 0.0410190112888813, 0.7362970113754272, -0.07492540776729584, 0.07621434330940247, -0.8594058156013489, 0.38435810804367065, 0.36198651790618896, -0.26653149724006653, -1.0405962467193604, -0.5760847330093384, 0.19973324239253998, -0.19704006612300873, -0.09489139914512634, -0.5179889798164368, -0.23122186958789825, 1.3030034303665161, -0.9097049236297607, 0.4133707582950592, -1.2049553394317627, -0.09228512644767761, -0.524630606174469, -0.5370906591415405, -0.8392369747161865, -1.2679972648620605, 0.3355427384376526, -0.28308165073394775, -0.4045039415359497, 0.5645060539245605, -0.23477934300899506, 0.024185191839933395, 0.5748876333236694, -0.5090609192848206, -1.6131953001022339, 0.38937604427337646, -0.7276257276535034, 0.6030384302139282, -0.7121448516845703, -0.1505887359380722, 0.07827889919281006, 0.7769591212272644, -0.4833664000034332, -0.32460734248161316, 0.0651213750243187, -0.46303844451904297, -2.052201747894287, 0.936039388179779, 0.11951208114624023, -0.5105969309806824, -0.6762800812721252, 0.9612224698066711, 0.7841740846633911, -1.6117671728134155, 0.541326642036438, 0.5520045161247253, -2.484565019607544, 0.5404788851737976, 0.6050240397453308, -0.6939221620559692, 0.5814647674560547, -0.31068694591522217, -0.6143425107002258, -0.9357140064239502, 0.5575875639915466, 0.1983436793088913, -0.318674236536026, -1.3214975595474243, 0.14016315340995789, -0.9258244037628174, -0.5680063962936401, 0.2073993980884552, -0.24127702414989471, -0.5274015069007874, -0.16940194368362427, 0.13149712979793549, 0.6256179809570312, -0.8979018926620483, -0.2824684679508209, 0.004896454978734255, -0.9160904884338379, -0.11462036520242691, 0.6692644953727722, 0.9313396215438843, 0.17190957069396973, 0.3261731266975403, -1.0508382320404053, 0.32158514857292175, -0.6837391257286072, 0.19856350123882294, 0.3448237478733063, -0.5335245132446289, -0.6008535623550415, -0.6609176993370056, 0.502864420413971, -1.3556145429611206, -0.13698801398277283, 0.5878079533576965, -0.6075496673583984, 0.4127352237701416, -0.43194159865379333, -1.1823909282684326, 0.25021395087242126, -0.5580800175666809, 0.3388446867465973, -0.13813826441764832, 0.2706127464771271, -0.7481222152709961, -0.7703272104263306, -0.9137759804725647, -0.0874735489487648, -1.3026641607284546, -0.21189790964126587, -0.19165870547294617, -0.17921100556850433, -0.6966623663902283, -0.7341701984405518, -0.8322224617004395, -0.8915969133377075, 0.03846462443470955, -0.528442919254303, 0.8897309303283691, 1.027166485786438, 0.5744951963424683, -0.015169945545494556, 0.14191491901874542, 0.011988836340606213, 0.41298574209213257, 0.9379239082336426, 1.8510816097259521, 0.5585779547691345, 0.7707573175430298, 0.5331010818481445, 0.43510448932647705, 0.47856077551841736, -0.24968579411506653, 1.3629847764968872, 0.05853922665119171, 0.14571021497249603, 0.8169434666633606, -0.383259117603302, 0.5247836709022522, 0.2552969753742218, 0.3035931885242462, -0.6392018795013428, 0.038807667791843414, 1.8644142150878906, -1.4557201862335205, -1.4522689580917358, -0.8186795711517334, -0.024769656360149384, 0.8050081729888916, -0.6212623119354248, -0.43143677711486816, -0.19519397616386414, -0.4587361216545105, 0.8950743675231934, 1.5288699865341187, 0.5424538254737854, -1.6152048110961914, 0.1156204342842102, -1.4766627550125122, 1.0717072486877441, -0.21059450507164001, -0.0665285736322403, -0.9515910744667053, 0.4571744501590729, -0.4207509756088257, -0.021894481033086777, -0.18668776750564575, 0.07254506647586823, 0.24911139905452728, 0.589695930480957, -0.38671112060546875, 0.0015258624916896224, -0.01694881170988083, 0.09321515262126923, -1.1075366735458374, 0.4610297977924347, -0.32623645663261414, -0.5277426242828369, -0.039338283240795135, 0.41596588492393494, 0.42593905329704285, 1.2223716974258423, 1.3253519535064697, -1.2549837827682495, -1.0414693355560303, 1.0098953247070312, 0.4393165409564972, 1.1048177480697632, 0.6077337265014648, 0.1571855992078781, -2.4439854621887207, 0.15095753967761993, -1.081089973449707, -0.8367002010345459, -1.3288681507110596, -0.2602711021900177, -0.3564876914024353, -0.21800579130649567, 0.2012297511100769, 0.18105262517929077, -0.14133276045322418, -0.8970307111740112, 0.21708224713802338, 0.9181385040283203, 0.8640993237495422, 0.5200226902961731, -0.6159194111824036, -0.37671759724617004, -1.1704539060592651, 0.1501743346452713, -0.34877827763557434, -0.3571232557296753, -0.2018316090106964, 0.7958346605300903, 0.6950907111167908, -0.14044791460037231, 0.3944520056247711, 1.263201117515564, -0.8930807113647461, 0.9365933537483215, -0.5222502946853638, -0.48840898275375366, -0.8498015403747559, 0.4006941020488739, 0.7701147794723511, 0.8262466788291931, -0.4913850724697113, -0.9721716046333313, -1.3042030334472656, -7.477756023406982, 0.37422099709510803, 0.2539691627025604, 0.43959760665893555, 0.3440104126930237, -0.1581180989742279, 0.46410229802131653, 0.4541567862033844, -0.37620359659194946, 0.7695937156677246, 1.4102308750152588, -0.14024852216243744, -0.49582093954086304, -1.502618432044983, -0.37466415762901306, 0.1888417750597, 0.12469740211963654, -0.3769344091415405, -0.3866448402404785, -0.20502442121505737, -0.3276215195655823, 0.8455849885940552, 0.2576983869075775, -0.32056981325149536, 0.40587112307548523, -0.019591206684708595, 0.49721166491508484, -0.4346524178981781, -0.2948422431945801, 1.3757964372634888, 0.38248398900032043, 0.8009613156318665, 0.047642968595027924, 0.26655811071395874, -0.19824722409248352, 0.24611717462539673, 0.5155038833618164, -0.053933825343847275, 0.672157883644104, -0.28592267632484436, 0.4939795136451721, 0.4990829527378082, 0.23202310502529144, -0.9260174036026001, -1.0162088871002197, 0.7306249141693115, -0.49443870782852173, -0.1721566766500473, 1.376949429512024, -0.18452408909797668, -1.666803002357483, -0.3451803922653198, -0.08554334938526154, -0.3578345775604248, 0.2874199151992798, 1.2102224826812744, 0.7402917146682739, -0.03172748163342476, -0.4242439568042755, -1.0489546060562134, -0.4556167721748352, -0.46555203199386597, -1.171839952468872, 0.11929500848054886, 1.5458310842514038, 1.0534030199050903, -0.4563455879688263, -0.17458376288414001, -0.08077298104763031, 0.20283780992031097, 0.3541162610054016, -0.6336166858673096, 0.11744307726621628, -0.9431465268135071, -0.6946551203727722, -0.2703716456890106, 0.06183086708188057, 1.1111960411071777, -0.6599312424659729, -0.5892952084541321, 0.861635148525238, 0.37969645857810974, -0.9261161088943481, -0.3176145553588867, -1.4427975416183472, -0.07706467807292938, -0.01682409457862377, 0.288515567779541, 1.148966670036316, -1.6117509603500366, 0.03867373988032341, 0.7085408568382263, 0.11250200122594833, -1.0808860063552856, 0.30914202332496643, -1.6496639251708984, -1.3655756711959839, -0.8070088028907776, -1.1423873901367188, 0.5386316180229187, 0.6681264042854309, 1.279525637626648, 1.644387125968933, 1.128526210784912, 0.21373263001441956, -0.24524171650409698, -0.23245985805988312, -0.8351359963417053, 0.25144490599632263, -0.8181707262992859, -0.3434124290943146, 0.18447864055633545, 0.11183612048625946, -0.17628835141658783, -0.2001330852508545, -0.8980485796928406, 0.5533462762832642, -0.5421625375747681, -0.46223071217536926, -0.742180585861206, -0.17976483702659607, -0.5638900399208069, 0.5447365045547485, -0.04502763971686363, 0.0401301383972168, -0.08145280182361603, 0.03454044461250305, 0.14052316546440125, 0.23144784569740295, 0.42995089292526245, -1.2924453020095825, -0.12533973157405853, -0.2535863220691681, -0.7689464688301086, -1.1694576740264893, -1.1916477680206299, 0.9825706481933594, -0.4493672549724579, -0.25176388025283813, 0.014578774571418762, 1.3732590675354004, 0.2526770532131195, -0.5360175967216492, -0.2722982168197632, 0.20487463474273682, -0.37413570284843445, -1.6807992458343506, 0.6050349473953247, -0.3064192831516266, -0.6177842020988464, -0.04227432608604431, -0.3845940828323364, 0.6217118501663208, 1.0944010019302368, -0.6659956574440002, -1.4134340286254883, 0.9553910493850708, -0.6548577547073364, 0.11817093938589096, -0.4461585283279419, -2.42189359664917, -0.9285386204719543, -1.3695695400238037, 0.27236875891685486, -1.1431515216827393, 1.2749981880187988, 0.51348876953125, -0.27407923340797424, 0.5507391095161438, 0.5375126004219055, -0.5433232188224792, 0.04066742956638336, -0.8715664148330688, -0.1956033557653427, -0.44855019450187683, 0.8700957894325256, -0.2931506335735321, 0.10451425611972809, -0.6935775876045227, 0.014198311604559422, -0.07053902745246887, 0.13881191611289978, -0.0852329283952713, 0.5089784264564514, 0.47207337617874146, 1.4217997789382935, -1.344549298286438, 0.8886888027191162, -0.1427929699420929, -0.032499026507139206, -0.17442823946475983, 0.9959744811058044, -0.46303752064704895, 0.45814380049705505, 0.5670859217643738, -1.009502649307251, 0.494974285364151, -0.6857304573059082, -0.04903150349855423, -1.0434985160827637, -0.02352273464202881, 0.5175678730010986, -0.6794747114181519, -0.28145360946655273, -0.9242690205574036, 0.8652748465538025, 1.0155742168426514, 0.7670085430145264, 0.9968423247337341, -1.086178183555603, 0.7890526056289673, 0.20023998618125916 ]
174
0704.0176
Li Qunxiang
Jing Huang, Qunxiang Li, Hao Ren, Haibin Su, Q. W. Shi, and Jinlong Yang
Switching mechanism of photochromic diarylethene derivatives molecular junctions
14 pages and 5 figures
null
10.1063/1.2770733
null
cond-mat.other cond-mat.mtrl-sci
null
The electronic transport properties and switching mechanism of single photochromic diarylethene derivatives sandwiched between two gold surfaces with closed and open configurations are investigated by a fully self-consistent nonequilibrium Green's function method combined with density functional theory. The calculated transmission spectra of two configurations are strikingly distinctive. The open form lacks any significant transmission peak within a wide energy window, while the closed structure has two significant transmission peaks on the both sides of the Fermi level. The electronic transport properties of the molecular junction with closed structure under a small bias voltage are mainly determined by the tail of the transmission peak contributed unusually by the perturbed lowest perturbed unoccupied molecular orbital. The calculated on-off ratio of currents between the closed and open configurations is about two orders of magnitude, which reproduces the essential features of the experimental measured results. Moreover, we find that the switching behavior within a wide bias voltage window is extremely robust to both substituting F or S for H or O and varying end anchoring atoms from S to Se and Te.
[ { "created": "Mon, 2 Apr 2007 12:11:45 GMT", "version": "v1" } ]
2009-11-13
[ [ "Huang", "Jing", "" ], [ "Li", "Qunxiang", "" ], [ "Ren", "Hao", "" ], [ "Su", "Haibin", "" ], [ "Shi", "Q. W.", "" ], [ "Yang", "Jinlong", "" ] ]
07
[ 0.4995826482772827, -0.06695627421140671, 0.7366949915885925, 1.0603766441345215, 0.08637379109859467, 0.6977949142456055, 0.6253179311752319, 0.07573582231998444, -1.3428027629852295, 0.016517357900738716, 0.7642924189567566, 0.30384698510169983, 1.0108859539031982, 1.4877099990844727, -1.2087434530258179, -0.9182986617088318, 1.1428066492080688, 1.1823121309280396, 0.8036332726478577, 0.7972387671470642, 0.13303424417972565, -0.3161279857158661, 0.08574511855840683, -0.14695486426353455, -0.3235919177532196, -0.14603321254253387, -0.4221917390823364, -0.44850218296051025, -0.08937293291091919, -0.7658559083938599, 1.898693561553955, -0.4923555254936218, -0.47504356503486633, -0.3102206587791443, 0.8122416734695435, 0.4225643277168274, -0.07118595391511917, -1.0601195096969604, -1.166674017906189, -0.42725658416748047, 0.4782443642616272, -1.0265626907348633, -0.13385403156280518, 0.2519400417804718, -1.5789703130722046, -0.1217767596244812, 0.38428929448127747, 0.3868221342563629, -1.1787681579589844, -0.49907374382019043, -0.4806019067764282, -1.5790084600448608, 0.9530385136604309, -0.05436673015356064, 1.0507268905639648, 0.1386646032333374, 0.13138994574546814, 0.38270947337150574, -0.06256871670484543, -1.5359302759170532, -0.39003512263298035, 1.3622180223464966, 0.8483239412307739, -0.37804940342903137, 0.6826379895210266, -0.37125182151794434, -0.20088014006614685, 0.5370948314666748, -0.2607147991657257, -0.4351901113986969, -0.0896669551730156, -0.5714855790138245, 0.7254453897476196, -1.0475693941116333, -0.5266804099082947, 1.551719069480896, 0.6258997321128845, -1.846213698387146, 0.5157372355461121, 0.022080831229686737, -0.20847126841545105, 1.5420811176300049, 0.18892322480678558, -2.0608747005462646, 0.9494723677635193, -0.5372170805931091, 0.293442964553833, -0.8032510280609131, -0.8212288022041321, 0.11684375256299973, -0.6246095895767212, -0.13294172286987305, -0.988489031791687, -0.3305831253528595, 0.5747134685516357, -1.16148841381073, -0.6195036172866821, -0.7725997567176819, 0.25862982869148254, 0.8311835527420044, -0.32601436972618103, 0.29943105578422546, -0.05032466724514961, -0.14391514658927917, 0.1577964574098587, 1.3178669214248657, -0.3225681185722351, -1.5884983539581299, -1.391570806503296, -0.021068092435598373, -0.5061104893684387, 0.45157766342163086, -0.2444973737001419, 0.6675012707710266, 1.029189944267273, 1.5922636985778809, -1.5604108572006226, -0.7416399121284485, -0.40555787086486816, -0.34658658504486084, -0.9993001222610474, -0.33987298607826233, -0.06488598883152008, 0.04049072787165642, 0.21290725469589233, -0.547458827495575, -1.1620036363601685, 0.4147534966468811, 0.1354595273733139, -0.7738925814628601, -1.348341703414917, -0.5552868843078613, -0.2548612952232361, -0.463756263256073, -0.9003452062606812, -0.41454970836639404, -0.4297233521938324, 0.34189561009407043, 0.47555387020111084, -1.0807853937149048, -0.2613130211830139, -0.8409517407417297, -0.18703512847423553, -0.0001476321485824883, 0.6812705397605896, -1.2564574480056763, -0.9866753220558167, -1.6274499893188477, -0.3345612585544586, -0.391975075006485, -0.08439178764820099, 0.24371448159217834, -0.8441247940063477, 0.5109400749206543, -1.46559476852417, 0.005818766076117754, 2.2449374198913574, 1.714730143547058, -1.1263234615325928, 0.3269959092140198, 0.9432871341705322, 0.5333958268165588, 0.36906176805496216, -1.2419166564941406, 0.0064519718289375305, 1.346523642539978, 0.9213559031486511, 0.30027660727500916, -0.541983425617218, -0.6041715741157532, 0.6103237867355347, 0.0618494376540184, -0.42220842838287354, 0.24150657653808594, -0.3355242609977722, -0.4716731905937195, 0.1693991869688034, 0.5876752734184265, 0.053129468113183975, 1.753741979598999, -0.8556175827980042, -0.29512467980384827, -0.14853347837924957, 1.2569198608398438, 0.7427085041999817, 0.18290777504444122, 1.0352261066436768, 0.5853257179260254, -0.2834062874317169, -0.035340532660484314, -1.1732600927352905, 0.34299373626708984, -0.15867717564105988, -0.006671811453998089, -0.36197471618652344, -1.1204124689102173, -0.8836072087287903, 0.4379698932170868, -1.1152435541152954, 0.0031391659285873175, 0.6036500930786133, -0.028671996667981148, -0.07522134482860565, 0.09826503694057465, -0.9323316216468811, 0.025587253272533417, 0.5007930397987366, -0.10411535203456879, -0.6459346413612366, -0.47216007113456726, -0.1842881441116333, -0.42039093375205994, -0.8472573161125183, -0.3512590825557709, -0.024522509425878525, -1.0372509956359863, -0.061640262603759766, 0.22589930891990662, 0.28560328483581543, 0.5015947818756104, 0.2372691035270691, 0.6521093249320984, 0.6000411510467529, 0.10504216700792313, 0.2564998269081116, -0.9225267767906189, -1.0040533542633057, 0.7963924407958984, -1.0085909366607666, -0.2330518513917923, 0.7970197200775146, -0.110378697514534, -1.1350022554397583, 0.07893621921539307, 1.114038348197937, 0.2994801104068756, -1.0923893451690674, -0.31021904945373535, -0.10020145028829575, 0.012177462689578533, 0.07780781388282776, 1.3644448518753052, 0.13900302350521088, -0.14226292073726654, -0.3491244912147522, -0.7154214978218079, 0.3449423015117645, 0.893886148929596, -0.8862353563308716, -0.11444380134344101, -0.352786123752594, 0.5995921492576599, 0.1890711933374405, -0.697948157787323, -0.7635306119918823, -0.6096782684326172, -0.22270391881465912, -0.998259961605072, -0.19225771725177765, -0.17509159445762634, -0.6011436581611633, -0.03893008083105087, 0.3472422957420349, 0.5056143403053284, 0.050165608525276184, 1.0895094871520996, -0.28052207827568054, -0.7813683152198792, 0.07796978950500488, -0.5009634494781494, 0.011875584721565247, -0.24334900081157684, -0.2994997203350067, -0.3420940637588501, 1.1310560703277588, -0.5338678359985352, 0.019070789217948914, -0.5414988994598389, -0.9390097260475159, -1.0872571468353271, 0.9642261862754822, 0.6172720789909363, -0.5906715989112854, -0.7280949950218201, 1.0392934083938599, 0.7752076387405396, -0.7418814897537231, -0.22433972358703613, -0.6666837334632874, -0.26506808400154114, 1.880070447921753, 1.6716740131378174, -0.9968612790107727, 1.0610954761505127, 0.523246705532074, -0.7812398076057434, -1.807074785232544, 0.024896664544939995, 0.9539341926574707, 0.5924659967422485, 0.6117992997169495, -0.7739064693450928, -0.3719225823879242, -0.4443516433238983, 1.3603370189666748, -0.6893258094787598, -0.6400506496429443, -0.5604267716407776, -1.2783259153366089, 0.4212144613265991, 0.5370880961418152, 0.9508727788925171, 0.07696858048439026, -0.11056020110845566, 1.67836594581604, -0.17886146903038025, -0.8443328738212585, -0.4564023017883301, -1.3780194520950317, -1.0440030097961426, 1.0697864294052124, -0.21526691317558289, -0.33620786666870117, -0.1615220159292221, 0.629192590713501, 0.7155365347862244, -1.0215626955032349, 0.5322846174240112, -0.12888647615909576, 0.23934625089168549, -0.13171134889125824, 0.06298481673002243, 0.20112958550453186, -0.7625826001167297, 1.0243242979049683, -0.031394146382808685, -0.06178080290555954, -1.4657155275344849, -0.08218592405319214, -0.4459528923034668, 1.1228867769241333, 0.5090740323066711, 0.8359622359275818, 0.47415825724601746, 0.24033387005329132, -0.11251181364059448, -0.6880003809928894, 0.4725486934185028, 0.7963259220123291, -0.2846626043319702, -0.12904703617095947, -0.8586329817771912, -0.32180753350257874, -0.7908031344413757, -0.5065453052520752, 0.8013885617256165, 0.5776776075363159, 0.8990533351898193, -0.5772809386253357, 0.613136887550354, 0.4584215581417084, -2.0265557765960693, 0.5591979026794434, -0.5124229192733765, -0.22736138105392456, -0.8024653792381287, 0.14396631717681885, 0.5213802456855774, -0.6243223547935486, 1.323971152305603, 0.5432232618331909, 0.9692864418029785, 1.249353289604187, 1.0373131036758423, 0.4104267656803131, 0.17215755581855774, -1.7125756740570068, -0.42877691984176636, -0.23505549132823944, -0.38099315762519836, 0.5479384660720825, 1.2934197187423706, 1.524283528327942, 0.7164915204048157, -0.45121118426322937, 0.1172952950000763, 0.18711510300636292, -0.6513168811798096, 0.49231356382369995, 0.1393488496541977, -0.1864366978406906, 0.4958483576774597, 0.6934694051742554, -0.5843235850334167, -0.7034091949462891, -0.19244346022605896, 0.9664860963821411, -0.30769625306129456, 0.6660940647125244, -0.8080875873565674, -0.5803726315498352, 0.44523030519485474, 0.15588562190532684, -0.20690444111824036, -0.28599289059638977, -0.024799425154924393, -0.1614665985107422, 0.735044002532959, -1.110558271408081, 0.27384138107299805, -0.4736451804637909, 1.3092191219329834, -0.012593206018209457, -2.174342155456543, 0.2510005533695221, -0.8013097643852234, -0.47438302636146545, 0.7518144845962524, -0.35886961221694946, -0.29225674271583557, -0.08629873394966125, -0.1979355365037918, -0.3700891137123108, 2.1990275382995605, 0.2966636121273041, -0.5315127968788147, 0.6257039308547974, 0.7571114897727966, -0.13180364668369293, -0.9294324517250061, -1.1338797807693481, -0.9247633814811707, -0.4471495747566223, 0.7817408442497253, -0.2914043962955475, -1.441230297088623, -1.0705405473709106, -0.4852820634841919, -0.15731768310070038, -0.7689160108566284, 0.09541575610637665, -0.7514172792434692, -0.010324281640350819, -0.2579781711101532, -0.03489347919821739, -0.8778961896896362, -0.11543029546737671, 0.31699058413505554, -0.4183248281478882, -0.25203394889831543, 0.16105054318904877, 0.0384368859231472, 0.07658403366804123, 0.23196280002593994, 0.603448748588562, 0.3218652904033661, -0.1330578327178955, 0.6093961000442505, 0.5265591740608215, -0.01929818093776703, -0.43126609921455383, -0.43666133284568787, -0.7601737380027771, -0.7118222117424011, 0.3526695668697357, 0.3226441740989685, -0.3232811987400055, -0.26979389786720276, -0.7057750821113586, 0.7260002493858337, 0.24508222937583923, -0.7998796105384827, 0.2576982378959656, -0.3108012080192566, 0.4510626494884491, -0.07743635028600693, -0.009771485812962055, 0.668224573135376, 0.9097729921340942, 0.49304211139678955, 0.3677528500556946, -0.5675392746925354, 0.43682000041007996, -0.5642577409744263, 0.0841064378619194, 0.08430752158164978, 0.5735659003257751, -1.062709927558899, -0.13735146820545197, 1.3342461585998535, 0.884010374546051, 0.26605769991874695, -0.014101850800216198, -0.201032355427742, -0.28275561332702637, 0.13334009051322937, -0.1543218046426773, 1.1431108713150024, -1.0335021018981934, -1.1245464086532593, 0.03330851346254349, 0.2688996195793152, 1.235852837562561, 1.33359694480896, 1.27469003200531, -1.2763358354568481, 0.624702513217926, 0.5519852042198181, -0.33486440777778625, 0.9993116855621338, -0.5437467098236084, -0.8429049253463745, 0.987784206867218, 0.22377890348434448, 0.390823632478714, -0.4979531168937683, -0.8658144474029541, -3.19810152053833, 0.39456409215927124, 0.33985665440559387, -0.48152270913124084, -1.2500901222229004, 0.4056779742240906, 0.2147279977798462, 0.040295906364917755, 0.7969076037406921, 0.4243573546409607, -0.5203350782394409, 0.1868913620710373, 0.599929928779602, 0.18297307193279266, -0.40527474880218506, 0.38372358679771423, -0.5831562876701355, 0.4848562479019165, -0.8037437796592712, 0.5900978446006775, 1.7153191566467285, -0.7452088594436646, -1.044559359550476, 1.7744559049606323, -1.1541260480880737, -0.10184840112924576, 0.07446344941854477, 0.01593843474984169, -0.3256528675556183, -0.2564693093299866, -1.2387723922729492, 0.2179773896932602, -0.6574587225914001, 0.05415577068924904, -1.3990198373794556, -1.222761631011963, -0.914993166923523, -0.7037150263786316, 1.4721254110336304, -7.604274272918701, 0.05918503925204277, 0.037458982318639755, -0.8839010000228882, 0.08307704329490662, -0.28828778862953186, 0.7643032670021057, -0.9227474927902222, 0.8628610372543335, 0.02880808711051941, 0.2551560699939728, 0.3311016857624054, -0.9498676657676697, -0.7781394720077515, -0.18390575051307678, 0.6536231637001038, 0.45085209608078003, -0.35306254029273987, 0.6335024833679199, 0.6849036812782288, -0.7279760241508484, 0.053590115159749985, -0.004052942618727684, -0.10000128298997879, -0.0101561788469553, 1.2584437131881714, 0.31611207127571106, -0.016591403633356094, 0.6752104163169861, -0.28712478280067444, 0.6565610766410828, 0.619483232498169, 1.4571295976638794, 0.11345197260379791, 0.0002579133724793792, -0.4521689713001251, 1.6134825944900513, -0.5542395710945129, 0.9833886623382568, -0.21004636585712433, 0.6853890419006348, -0.4666326344013214, 1.6576175689697266, -1.0295592546463013, -0.7378131151199341, -1.060726523399353, -0.4984820783138275, -2.2272653579711914, 0.8022652864456177, 0.025433853268623352, 0.6477633118629456, 0.5648349523544312, 0.7162187099456787, 0.18977393209934235, -0.4006853401660919, 0.03795609623193741, -0.4192678928375244, -0.16870750486850739, -1.7555642127990723, -0.8604789972305298, 0.18857122957706451, -0.2597290575504303, 1.1288706064224243, 0.16379530727863312, 0.868557870388031, 0.4811011552810669, -0.11225371062755585, 0.008199844509363174, -0.05904509127140045, 1.234349012374878, 0.11837276071310043, -1.8222427368164062, 0.49819469451904297, 1.0864853858947754, 0.45860370993614197, -0.8101450800895691, 0.0625273585319519, 0.23830541968345642, -0.33624789118766785, -0.7305291891098022, -0.6243937015533447, 0.11692173033952713, -0.11932546645402908, 0.298674613237381, 0.27449214458465576, 0.6970800161361694, -0.12092848867177963, 1.226994514465332, 1.361547827720642, 0.23979443311691284, 1.2645398378372192, 0.8613448739051819, -0.38225191831588745, 0.39627039432525635, 0.05681950971484184, 0.6482152342796326, 0.24827887117862701, -1.5816082954406738, -0.8672565817832947, -0.625443160533905, -0.25657904148101807, -1.0456315279006958, 0.8678691983222961, 0.5108855366706848, -0.4792003631591797, 0.8324941992759705, -1.0879817008972168, -0.26068824529647827, -0.5268070101737976, -0.24140051007270813, 0.11806134134531021, -1.317710280418396, -0.5606845021247864, -0.6965584754943848, 0.3682044744491577, -0.5238218307495117, 0.33821603655815125, -0.43367573618888855, -0.9901626110076904, 0.36184272170066833, -1.8952776193618774, 0.6417024731636047, -0.09753458201885223, -0.363387793302536, -0.561385452747345, -0.5041183233261108, 0.753030002117157, 0.009361720643937588, 0.3260767459869385, -0.8064413070678711, -0.2763994038105011, -0.8441383838653564, 0.4425743520259857, -1.6255730390548706, -0.4169263243675232, -0.065833181142807, 0.7333277463912964, -0.3121333718299866, -0.03420531749725342, 0.37020444869995117, 0.6526017785072327, 0.5926874279975891, -0.06208064779639244, 0.4802382290363312, 0.5415422320365906, -0.04270674288272858, -0.41807636618614197, -0.5242129564285278, -0.570651113986969, 0.4039763808250427, -0.11579353362321854, -1.582731008529663, 0.31222406029701233, 0.052619919180870056, -0.3791731595993042, -0.26881274580955505, -1.6556458473205566, 0.3556061387062073, -0.7957934737205505, -0.5567346811294556, 1.0782419443130493, -0.26016730070114136, 0.2636927664279938, -0.6275632381439209, 0.2864619493484497, 0.8441778421401978, 0.18651321530342102, 0.06254023313522339, 0.8624575138092041, -0.4906834065914154, -0.3135279417037964, 0.25623753666877747, -0.6421961188316345, 0.38637542724609375, 0.48618873953819275, 0.6512271761894226, 0.3627839982509613, -0.4737529456615448, -0.2593577802181244, -0.10217691957950592, -1.196364402770996, 0.30691683292388916, 0.45005255937576294, 0.32886794209480286, 0.5837920904159546, -1.1846781969070435, -0.4435351490974426, -0.20426109433174133, 0.6790546178817749, 0.046883754432201385, -0.2724801301956177, -0.07864532619714737, 0.5141892433166504, -0.3872772753238678, -0.22195027768611908, 0.018609799444675446, -0.597585141658783, -0.4149690270423889, 0.6220812797546387, -0.39744773507118225, 0.48067596554756165, 0.7403098344802856, -0.17952479422092438, 0.15192082524299622, -0.14408859610557556, 1.0911365747451782, 0.6605923175811768, 0.4000106155872345, -0.6364883184432983, -0.30820924043655396, 0.8504146337509155, -0.30983060598373413 ]
175
0704.0177
Alex Greilich
A. Greilich (1), M. Wiemann (1), F. G. G. Hernandez (1), D. R. Yakovlev (1), I. A. Yugova (1), A. Shabaev (2), Al. L. Efros (2), D. Reuter (3), A. D. Wieck (3), and M. Bayer (1) ((1) Universit\"at Dortmund, Germany, (2) Washington, USA, (3) Ruhr-Universit\"at Bochum, Germany)
Robust manipulation of electron spin coherence in an ensemble of singly charged quantum dots
5 Pages, 3 figures
Phys. Rev. B 75, 233301 (2007)
10.1103/PhysRevB.75.233301
null
physics.optics
null
Using the recently reported mode locking effect we demonstrate a highly robust control of electron spin coherence in an ensemble of (In,Ga)As quantum dots during the single spin coherence time. The spin precession in a transverse magnetic field can be fully controlled up to 25 K by the parameters of the exciting pulsed laser protocol such as the pulse train sequence, leading to adjustable quantum beat bursts in Faraday rotation. Flipping of the electron spin precession phase was demonstrated by inverting the polarization within a pulse doublet sequence.
[ { "created": "Mon, 2 Apr 2007 12:28:44 GMT", "version": "v1" } ]
2009-11-13
[ [ "Greilich", "A.", "" ], [ "Wiemann", "M.", "" ], [ "Hernandez", "F. G. G.", "" ], [ "Yakovlev", "D. R.", "" ], [ "Yugova", "I. A.", "" ], [ "Shabaev", "A.", "" ], [ "Efros", "Al. L.", "" ], [ "Reuter", "D.", "" ], [ "Wieck", "A. D.", "" ], [ "Bayer", "M.", "" ] ]
07
[ -0.530792236328125, 0.09114179015159607, 0.8067115545272827, 0.2954320013523102, 0.6936330795288086, 0.05808526277542114, -0.31138548254966736, -0.9357004165649414, -0.536868691444397, -0.981327474117279, 0.09569239616394043, -0.7501178979873657, -0.3443785607814789, 1.1147347688674927, -0.6879529356956482, 0.33407849073410034, 1.4653735160827637, -1.225317120552063, -0.8786519765853882, 1.3271342515945435, 0.4221574068069458, 0.08678513020277023, -0.10589374601840973, -0.3434937298297882, -0.4771357476711273, 1.1171964406967163, 0.20193105936050415, -0.45178693532943726, -0.9897019267082214, -1.665043830871582, -2.0322930812835693, -0.1590173840522766, -0.6809540390968323, -0.9569345116615295, 1.338602066040039, -0.26836782693862915, 0.4558468759059906, 0.9149632453918457, -0.8238471150398254, 0.4448626637458801, -0.9718526005744934, 0.12639951705932617, -0.9298739433288574, 0.985847532749176, -1.5088273286819458, 1.4518333673477173, 0.41607990860939026, -0.4342934489250183, 0.17266929149627686, -0.26894599199295044, -0.07282452285289764, 1.490896224975586, 0.5001794695854187, -0.6718767285346985, 0.03327324241399765, 0.16258466243743896, 0.4051060974597931, 0.42989444732666016, -0.1477668434381485, -1.852381706237793, -0.5509669184684753, 0.090675950050354, -0.5087342858314514, -0.5202071070671082, 0.5939064621925354, 0.7313512563705444, 1.023661494255066, 0.31099748611450195, -0.38652339577674866, 0.3528980016708374, -0.6540825963020325, -0.42811259627342224, -0.12230000644922256, 0.9448382258415222, 0.10642068833112717, 0.4326927363872528, 0.4491444528102875, 0.3130117356777191, -0.2596587836742401, 0.5226736068725586, 1.9945354461669922, 0.9790827035903931, -0.21427074074745178, -1.1256818771362305, -1.049410104751587, -1.1176633834838867, 0.690929114818573, -0.024920083582401276, -0.5725515484809875, -1.135276198387146, -0.4058842957019806, -0.6476912498474121, 0.3095570504665375, 0.11464305222034454, -0.48024240136146545, 1.022626519203186, -0.5106403231620789, -1.4298195838928223, 0.5921036601066589, 1.4173932075500488, -0.09480399638414383, 1.6785343885421753, 0.3000328540802002, 1.0002822875976562, -0.2801830768585205, 1.135547399520874, -0.6585410833358765, -0.6712577939033508, -1.2490313053131104, -0.25824880599975586, -0.7525942325592041, -0.2959520220756531, 0.429314523935318, -0.9810522198677063, -0.20786957442760468, -0.2118411362171173, -1.0184204578399658, -0.3787482976913452, -0.9487642645835876, -0.39169925451278687, -0.7407919764518738, 0.18554934859275818, -1.4332752227783203, 0.6369957327842712, 0.8993179798126221, 0.6031043529510498, 0.11780663579702377, -0.20305146276950836, -0.4118855893611908, -0.3089231550693512, -0.7368607521057129, -0.10226602107286453, -0.5228971242904663, -1.0769022703170776, 0.5433732867240906, -0.3987371623516083, 0.179856076836586, 0.40303632616996765, -1.1322212219238281, -0.8428018689155579, -0.08018127828836441, 0.21688486635684967, -1.4370211362838745, 0.7052885293960571, 0.014529185369610786, -0.26914140582084656, 0.5271438360214233, 0.5413300395011902, -1.2422634363174438, -0.5960491895675659, 0.5490188002586365, -0.08928505331277847, -0.2661801874637604, 0.6357351541519165, 0.8284533619880676, -0.6184989213943481, 0.24967339634895325, 1.0242176055908203, -0.3275441527366638, 0.4377722442150116, 0.6945648193359375, 0.8692001700401306, -0.5612298250198364, -0.2575259804725647, -0.6898707151412964, -0.4547315835952759, -0.6832596659660339, 0.12742139399051666, 1.3696627616882324, 1.0077245235443115, 0.6788279414176941, -0.17049433290958405, -0.5632573366165161, 0.5748669505119324, -0.4410420358181, 0.9311084747314453, 1.231040120124817, -1.3859837055206299, -0.23347750306129456, 1.2680426836013794, 1.190168857574463, -1.3303033113479614, -0.8198545575141907, 0.07855609059333801, -0.06822996586561203, -0.8787425756454468, 0.6495609879493713, -0.3250048756599426, -0.22831426560878754, -0.1507975310087204, -0.05921993777155876, 1.2337151765823364, -1.18686044216156, -0.6120530366897583, -1.0499334335327148, 0.7450310587882996, -1.0476480722427368, 0.6407296061515808, -0.3540716767311096, -1.3748525381088257, -1.0231443643569946, -0.25972500443458557, 0.025146426633000374, 0.48941826820373535, -0.21725566685199738, 0.695696234703064, -0.7274236679077148, -0.24668742716312408, 0.5970995426177979, 0.6068909168243408, -0.2753949761390686, 0.524436891078949, -1.0720579624176025, 0.4094827473163605, -0.6053561568260193, -0.41976433992385864, -0.3927747905254364, 0.5461671948432922, -0.2069430947303772, 1.141730785369873, -0.4678904414176941, 0.4534396827220917, -0.08314327895641327, 0.2553641200065613, 0.006963688880205154, 0.7343634366989136, -0.9582785964012146, 1.4860507249832153, -0.21500341594219208, 0.01923767477273941, -0.7443764209747314, 0.31999462842941284, 0.93816077709198, -0.0013966417172923684, 1.325297474861145, -0.13407152891159058, -0.48274293541908264, 0.9565432667732239, -0.5662596225738525, -0.14574360847473145, -1.3658486604690552, 0.21980522572994232, -0.6428227424621582, 0.13691197335720062, 0.9072701930999756, -0.35873517394065857, 0.8876146078109741, -0.04032164439558983, 0.055538155138492584, 0.5234543681144714, -0.2076343446969986, 1.7621656656265259, 0.2985059916973114, 0.007028006482869387, 0.1690014749765396, 0.8390989899635315, 0.09585097432136536, -1.0394082069396973, -0.4684496521949768, 0.7992216944694519, 0.15801532566547394, 0.1640891283750534, 1.0637418031692505, -0.3538476526737213, -0.9088568687438965, 0.5197227001190186, 1.6659479141235352, -0.3200472593307495, 0.12354068458080292, -0.19826827943325043, -0.07884328067302704, 1.2379109859466553, -0.268300861120224, -0.19256757199764252, 0.07447483390569687, -0.15526610612869263, 0.7175530791282654, 0.9650385975837708, -1.26341712474823, 0.8918900489807129, 0.43914681673049927, 0.1248457133769989, 0.047830455005168915, 0.9839509725570679, -0.20083455741405487, 1.5372921228408813, 0.3499622046947479, -0.24949873983860016, -0.17188961803913116, 1.0460684299468994, -0.22429236769676208, 1.3763856887817383, -0.7132648825645447, 0.9456355571746826, -0.11405310034751892, -0.4884907007217407, -0.6226394176483154, 1.0104936361312866, 0.23768530786037445, -0.11069922894239426, -0.039451077580451965, -1.8240892887115479, 0.17738810181617737, -0.09389707446098328, -1.4073842763900757, -0.11970001459121704, 0.23630061745643616, -0.5549464225769043, 1.0993304252624512, -0.3292143642902374, 0.13622727990150452, 1.1858508586883545, -1.0801459550857544, 0.8789352774620056, 0.32647016644477844, 1.1786361932754517, 0.2903231978416443, -1.2228037118911743, -0.391194224357605, 0.3095965087413788, 0.2468308061361313, -0.10056649893522263, -0.5981552600860596, -0.6164278388023376, 0.5382567048072815, 0.62984299659729, 1.0018492937088013, 0.23163993656635284, 0.7527031898498535, -0.43328922986984253, -0.5133919715881348, -0.51019686460495, -0.7488263249397278, 0.25528964400291443, 1.3375306129455566, -0.5805010199546814, -0.19278940558433533, 0.02330825664103031, 0.7184665203094482, 0.6531251668930054, -1.3518975973129272, 2.6694040298461914, -0.9219363331794739, -0.7654093503952026, -0.9116271138191223, -0.4246673882007599, -0.36431869864463806, -0.12878823280334473, 0.6850460767745972, -0.6822167634963989, 0.3133869171142578, -0.5029564499855042, 0.11125550419092178, -0.2058919221162796, -0.32692620158195496, -0.030495407059788704, 0.6728643178939819, -0.3565778136253357, -1.085544228553772, 0.6346465945243835, 0.8885883688926697, -0.4621131122112274, 0.7354654669761658, -0.518507182598114, 0.267173707485199, 0.6427788734436035, 0.385386198759079, 0.9358327984809875, -1.089184045791626, -0.6355661153793335, -0.8959447741508484, 1.0300345420837402, 0.03148062527179718, -0.12286755442619324, -0.5422433614730835, -0.2793161869049072, -0.31032195687294006, 0.8658460378646851, 1.0437551736831665, -0.1634196639060974, -1.1336669921875, 0.512563943862915, 2.2211289405822754, -0.6307650208473206, -0.055564310401678085, -0.2857276201248169, 1.2931610345840454, 0.9487812519073486, -1.1436792612075806, 0.34918826818466187, -0.9840794801712036, 0.8414233326911926, 1.1944705247879028, -0.9178410768508911, -0.388157457113266, 0.1495508849620819, 0.3700622320175171, -0.036264121532440186, -0.22665823996067047, 0.3785201907157898, -0.01310955174267292, -0.8769083023071289, -0.6142352819442749, 0.0009648539707995951, 0.7586013078689575, 2.008878707885742, -0.653304934501648, -0.9500209093093872, -0.542690098285675, 0.11912300437688828, -1.3991482257843018, -0.13526058197021484, 0.3937516212463379, -1.270872712135315, 0.4343518316745758, -0.15170393884181976, -1.8037222623825073, 1.9210766553878784, -0.6320278644561768, 0.6264725923538208, 0.4726685881614685, 0.09159278869628906, -0.219299778342247, 0.3962327539920807, 1.1294169425964355, 1.203094482421875, -0.599669337272644, 0.18135876953601837, -0.40344351530075073, 0.7260030508041382, 1.2483443021774292, -1.57275390625, 0.1228124350309372, 0.7886451482772827, -0.0279498640447855, 0.011470131576061249, 0.6186939477920532, 0.183281809091568, -0.01954585500061512, -0.26438266038894653, -0.8464381098747253, 0.725774347782135, -0.4257078170776367, 0.2657228410243988, -0.9135932326316833, -1.1058266162872314, 0.04426067695021629, 0.7523887157440186, 0.3567979633808136, 0.49699679017066956, -0.17770059406757355, -0.5422763824462891, -0.4138897955417633, 0.7472547292709351, 0.22029629349708557, -0.9908171892166138, -0.45839178562164307, 1.4324054718017578, -0.9749678373336792, 0.6886589527130127, -0.1681065708398819, -0.014097768813371658, -0.3594104051589966, -1.4393521547317505, 0.3073727786540985, 0.1989208310842514, 0.6023279428482056, -1.2115273475646973, -0.011433527804911137, 0.2869882881641388, 0.1278080940246582, -0.1532307267189026, -0.7656480073928833, 0.28676867485046387, -0.003828114364296198, -1.240696668624878, -0.8143657445907593, 0.5963085293769836, 0.6271794438362122, 1.3336186408996582, 1.199955940246582, -0.07040326297283173, 0.5206096768379211, -0.29285767674446106, -0.36863064765930176, -1.1285133361816406, 0.7542283535003662, -0.3936713933944702, -0.5725650787353516, -0.02043801173567772, 0.22024992108345032, -1.088326334953308, -0.2998558580875397, 1.3614745140075684, 0.8970567584037781, 0.6157635450363159, -0.25370293855667114, -1.192701816558838, 0.2806885540485382, -0.8771611452102661, -0.5040571093559265, 0.2628426253795624, -1.1585681438446045, 0.9180402755737305, -1.2803980112075806, 0.06816650927066803, -0.20896799862384796, 0.8923418521881104, -0.24770107865333557, 0.03818637877702713, -0.1468341052532196, 0.9598481059074402, 0.31902700662612915, 0.35459816455841064, -0.40496504306793213, -2.0731616020202637, -0.4261460304260254, -2.0277202129364014, 0.43267810344696045, 0.22208978235721588, 0.5682629942893982, -1.0359201431274414, -0.3290441632270813, 0.3996100127696991, -0.6951205730438232, -0.0980682224035263, 0.44808369874954224, -0.9807966947555542, 0.47221168875694275, -0.329842746257782, -0.6099486351013184, 0.12895382940769196, -0.5882707834243774, 0.5105949640274048, -0.5835322141647339, 1.4219624996185303, -0.4998759925365448, -0.3326815664768219, -0.43015024065971375, 0.9399780631065369, -0.26531782746315, -1.3662912845611572, 0.7008078098297119, -1.0987364053726196, -0.44697585701942444, 0.01152405608445406, -1.2493773698806763, 0.6379442811012268, -1.1328116655349731, -0.6861915588378906, -0.9809483289718628, -0.7272731065750122, 0.12111672013998032, -0.6748681664466858, 0.1248595267534256, -0.3317537307739258, -6.422768592834473, -0.2611240744590759, -0.6517658829689026, 0.03006800264120102, -0.3333838880062103, -0.201144278049469, -0.3494988977909088, -0.1935281902551651, -0.28964245319366455, 0.2953035235404968, 0.05670078471302986, -0.22029343247413635, -0.9220455884933472, -1.0263566970825195, -0.6373820304870605, -0.59303218126297, -0.3491307199001312, 0.8727648258209229, -0.03514688462018967, -0.22718068957328796, -0.8222585320472717, -0.8739869594573975, -0.14657285809516907, -0.9619943499565125, 0.051100097596645355, 0.2725459635257721, -1.0798366069793701, 0.11947628855705261, -0.6066983938217163, 0.4579194486141205, 0.22441092133522034, 0.7519670724868774, -0.6599652171134949, -0.31507113575935364, 0.11507443338632584, 0.2929733693599701, 2.168959140777588, 0.6298679113388062, 1.3374696969985962, -0.4886523485183716, 1.3200479745864868, -0.8823431730270386, -0.7714886665344238, -0.959855318069458, 0.240183025598526, 0.5333967804908752, 0.5598037242889404, -1.7288668155670166, -0.1298249214887619, 0.11241023242473602, 0.6275668144226074, 1.4870558977127075, 0.7971617579460144, 1.1112746000289917, -0.2871556282043457, 0.09282410889863968, -1.0139973163604736, -0.34320640563964844, -1.4966607093811035, 0.87447190284729, -0.17461612820625305, -0.4498366415500641, -1.106481671333313, -0.2809011936187744, 0.3875051736831665, 0.21488717198371887, -1.3689132928848267, -0.17315639555454254, 0.17905904352664948, 0.17777875065803528, 0.5106390714645386, -1.0756475925445557, 0.4715441167354584, 1.5674620866775513, 0.8770231604576111, -0.09443745017051697, 0.07990653067827225, -0.722183346748352, -0.8584806323051453, -1.1502834558486938, 0.1418793499469757, 0.8402524590492249, -0.4574744701385498, 0.1175433099269867, -0.3229776620864868, -0.7660737633705139, -0.28402718901634216, 0.39846858382225037, -0.08850684016942978, -1.1583157777786255, 0.12174548208713531, 1.3042771816253662, 0.15787513554096222, -0.028088953346014023, 0.4825272262096405, 0.7492533326148987, 0.4660787880420685, -0.41798049211502075, -0.8812452554702759, 1.309938907623291, -0.12524159252643585, 0.06071081757545471, -1.9848952293395996, 1.3827736377716064, -0.009860002435743809, 0.7890860438346863, -1.1127008199691772, 0.08335734903812408, 0.5442022681236267, -0.41892555356025696, -0.6539987921714783, 0.008169529028236866, -0.8584487438201904, -0.6713356971740723, 0.26578977704048157, 1.0201172828674316, -0.49951979517936707, -0.5842154622077942, 0.08955727517604828, 0.40735387802124023, -0.4223540425300598, -0.9067200422286987, -0.39733514189720154, 1.326331615447998, 1.0777380466461182, 0.3792368173599243, -0.05514705181121826, 0.18707074224948883, 0.540573239326477, 0.8522160649299622, 1.129983901977539, -1.0819079875946045, -0.40710002183914185, 0.847709059715271, -0.8094639778137207, -0.9077829718589783, -0.4165429472923279, -0.08232871443033218, -0.6104482412338257, 0.8179193735122681, 1.0777873992919922, -0.2237427532672882, -0.19346195459365845, -0.11363917589187622, -0.1435350775718689, -0.8299024701118469, 0.24309827387332916, 1.117498517036438, 0.08049440383911133, -0.3459608554840088, 0.9163160920143127, 0.05645393207669258, -0.9289299845695496, 0.6975792050361633, 0.5072295069694519, 0.7146109342575073, -1.1524094343185425, -0.3814140856266022, 0.3669878840446472, -1.1076551675796509, 0.10545043647289276, -0.6200401186943054, 0.12003683298826218, -0.7424435615539551, -1.4742931127548218, -1.6264076232910156, -0.3794451653957367, -1.4531549215316772, -1.1570110321044922, -1.4816665649414062, 0.01563558727502823, -0.36280569434165955, 0.001301116542890668, -0.19763755798339844, -0.5777536034584045, 0.3673730492591858, 0.37639299035072327, -0.46986085176467896, -0.7210049033164978, -0.7205495834350586, -0.00020865346596110612, -0.8695582151412964, 0.827353298664093, 0.7479557394981384, -0.5613123178482056, -0.30267488956451416, 0.2329377382993698, -0.3471311330795288, -1.0359503030776978, -1.1254706382751465, -0.41380977630615234, 0.42454665899276733, 1.7698549032211304, -0.023825958371162415, 0.5383102297782898, 0.7482417821884155, 0.6160457730293274, -0.46865081787109375, 0.2270229607820511, 0.8412624597549438, -0.009146498516201973, 1.9044591188430786, -1.306518793106079, -0.4563070833683014, 0.13834869861602783, -0.09664422273635864, 0.0916484147310257, -0.3659399747848511, -0.18546229600906372, 0.09190796315670013, 0.18297286331653595, -1.297863245010376 ]
176
0704.0178
Bastian Holst
Bastian Holst, Nadine Nettelmann, Ronald Redmer
Equation of state for dense hydrogen and plasma phase transition
7 pages, 7 figures, contibution to the 12th International Workshop on the Physics of Non-Ideal Plasmas, Darmstadt, Germany
Contrib. Plasma Phys.Volume 47, 368, 2007
10.1002/ctpp.200710049
null
physics.plasm-ph
null
We calculate the equation of state of dense hydrogen within the chemical picture. Fluid variational theory is generalized for a multi-component system of molecules, atoms, electrons, and protons. Chemical equilibrium is supposed for the reactions dissociation and ionization. We identify the region of thermodynamic instability which is related to the plasma phase transition. The reflectivity is calculated along the Hugoniot curve and compared with experimental results. The equation-of-state data is used to calculate the pressure and temperature profiles for the interior of Jupiter.
[ { "created": "Mon, 2 Apr 2007 12:34:29 GMT", "version": "v1" } ]
2012-04-16
[ [ "Holst", "Bastian", "" ], [ "Nettelmann", "Nadine", "" ], [ "Redmer", "Ronald", "" ] ]
07
[ 0.6801295280456543, 0.8961581587791443, -0.4971615672111511, 0.03155677020549774, -0.31943264603614807, 0.7375026941299438, -0.21487106382846832, 1.1617565155029297, -0.19256331026554108, 0.32461217045783997, -0.10579389333724976, 0.5126474499702454, 0.14769242703914642, 0.03364531695842743, -1.5974445343017578, -0.7000735998153687, -1.194867491722107, -0.5992616415023804, 0.9973465204238892, 0.8760190010070801, 0.09197117388248444, -0.4592288136482239, 0.023682868108153343, -0.697950005531311, -0.29843297600746155, 0.587786853313446, -0.18983952701091766, 0.40930110216140747, -0.16649508476257324, 0.008952186442911625, 0.842451810836792, 0.5236701965332031, 0.5071303248405457, 0.4915936589241028, 0.41808468103408813, -0.03209773078560829, 0.7393232583999634, -1.7239233255386353, -0.8348976969718933, -0.08159292489290237, 1.0270811319351196, 0.13575296103954315, 0.1611361801624298, -0.06397469341754913, 1.4610663652420044, -1.302435040473938, 0.3133416771888733, 0.7902674078941345, -1.257456660270691, -0.15518544614315033, -0.6099252104759216, 0.8562002182006836, 0.09795760363340378, 0.6317809820175171, 1.889363169670105, -0.1570398360490799, 0.2669467031955719, 0.5217019319534302, -0.4753115177154541, 0.42026329040527344, 0.22331221401691437, -0.7055496573448181, 1.1192960739135742, 0.3130953013896942, -0.699993371963501, -0.1756996214389801, 0.5533122420310974, 0.5014345645904541, 0.8295196294784546, 0.2065863311290741, -0.341582328081131, -1.476574182510376, -0.3838312029838562, -0.2234341949224472, 0.24668501317501068, -0.7580679655075073, 0.7175887227058411, -1.3865152597427368, 1.4330413341522217, 0.7496857047080994, 0.17394548654556274, -1.1393287181854248, -0.7708806991577148, -1.027721643447876, 0.30362942814826965, 0.08322007209062576, -0.4073304235935211, 1.1506001949310303, -0.5868895053863525, -1.090149164199829, -1.1352949142456055, -0.3301498293876648, 0.7977464199066162, -0.4902303218841553, 0.3942417502403259, 0.643928050994873, -0.6301482915878296, 0.3705815076828003, 0.14467941224575043, -0.9863789081573486, -0.8477903008460999, 0.04363907128572464, -0.043687134981155396, -0.17201736569404602, 0.7132850289344788, 1.0317034721374512, 0.8088908195495605, -1.5575017929077148, -2.0215067863464355, 0.05238819494843483, 0.4640387296676636, -1.3800996541976929, -0.24488313496112823, 0.6371634602546692, -1.5441133975982666, 0.7805968523025513, -1.2370132207870483, 0.08041254431009293, -0.5072985887527466, 1.0066807270050049, 0.2778392732143402, -0.5867222547531128, 0.3557511866092682, -0.47557398676872253, 1.4504356384277344, -0.3884184658527374, -0.7595850229263306, -0.5336955785751343, 0.15655982494354248, 0.10169194638729095, 0.29495909810066223, -0.49741217494010925, -0.5719841122627258, 1.3065978288650513, -0.6044909954071045, -0.31371331214904785, 0.06968727707862854, 0.2022939771413803, 0.9042008519172668, 0.39850732684135437, 0.8831100463867188, -0.4455658197402954, -0.2803266644477844, 0.7839407920837402, -0.8666300177574158, 0.8097628951072693, 0.7604386806488037, -0.5563402771949768, 0.5778902769088745, 0.041960809379816055, 0.09956590086221695, -1.085696816444397, -0.39510995149612427, 1.238030195236206, -1.1643882989883423, 0.14026637375354767, -0.7729430198669434, 0.5014452338218689, 0.006227876525372267, 0.7318454384803772, 0.29959142208099365, -0.6173952221870422, -0.4684958755970001, -0.7968233823776245, -0.25768381357192993, 0.1251499205827713, -0.47954243421554565, 0.37834814190864563, -0.2557501792907715, 0.48576948046684265, -1.3969693183898926, -0.5457255244255066, -0.07191606611013412, 0.22424931824207306, 0.2717081308364868, 0.9690096378326416, 0.858450174331665, -0.6439350247383118, 0.25885236263275146, 0.31473979353904724, 0.4882335960865021, 0.40148869156837463, -0.362556129693985, -0.1344219446182251, 0.3634929656982422, 0.7831693887710571, 0.8623708486557007, -1.4086922407150269, -0.8704020977020264, 0.48898065090179443, -0.3827965557575226, 1.2863999605178833, -0.5867307186126709, 0.215711772441864, -0.06459597498178482, -0.23714664578437805, -0.17244158685207367, 0.6439400315284729, -0.09617367386817932, -0.3469908833503723, 1.078368067741394, 0.6880719065666199, -0.2917232811450958, 0.14202921092510223, 0.07378248870372772, -0.0011812277371063828, 0.785270094871521, 1.2544864416122437, -0.48616042733192444, -0.8470128178596497, -0.3153102397918701, -0.45062318444252014, 0.3490488529205322, -0.24423818290233612, 0.40190741419792175, 0.9695605635643005, -0.48448869585990906, -1.7403292655944824, 0.07068444788455963, 0.43363380432128906, 0.49951085448265076, 0.08148118108510971, 1.0682405233383179, 0.4877546727657318, -1.327612280845642, 0.9070094227790833, -0.17802734673023224, -0.2797167897224426, -0.14645308256149292, 0.7559599280357361, 1.0467755794525146, 0.633402407169342, -1.0803470611572266, 0.2192586064338684, 0.08941382169723511, 2.187227249145508, 0.4352547228336334, -0.022888580337166786, 0.12248431146144867, 0.6752498149871826, -0.8759779334068298, -0.13814276456832886, 0.2358069121837616, 0.14809392392635345, 0.2349245548248291, -0.250798761844635, 0.29806092381477356, 0.43084651231765747, 0.0223255455493927, 0.2957197427749634, -0.5464591979980469, 0.4691726267337799, -0.4475838840007782, -1.2385106086730957, -0.7278353571891785, 0.4629351496696472, -0.653904378414154, 0.3705953061580658, 0.04894842579960823, -0.30920737981796265, 0.5022352933883667, 0.14769063889980316, -0.2360076904296875, -0.19104629755020142, 0.22661298513412476, -0.8975806832313538, 0.19688184559345245, 0.044841218739748, -1.453223705291748, -1.173067569732666, -0.2125127613544464, -1.0496776103973389, 0.29100558161735535, 0.002042309148237109, 1.1796056032180786, 0.06702106446027756, -0.3238316476345062, -2.306163787841797, -0.6229968070983887, -1.2039564847946167, 0.8452577590942383, 1.2608180046081543, 0.8748610019683838, 0.9683352708816528, -0.00855966005474329, -0.5485824346542358, 0.44033920764923096, -0.4521966874599457, 0.1896175742149353, 0.45919084548950195, 0.8657288551330566, -0.8384678363800049, -0.36412352323532104, 0.19511863589286804, -0.14973415434360504, -0.41408616304397583, 0.05864213779568672, -0.3004184663295746, -0.8404213786125183, 0.09180541336536407, -0.6250385046005249, 0.6299058794975281, -0.18881039321422577, 0.7263267040252686, 1.1003589630126953, -0.4002549946308136, -2.0767571926116943, 0.16950227320194244, -0.48088720440864563, -0.5951727628707886, -0.6802548766136169, 0.5590980052947998, -0.7591522932052612, 0.6111783385276794, 1.3646442890167236, 0.6689598560333252, -0.6071770787239075, -0.34693172574043274, -0.6401647329330444, 1.6314433813095093, 0.30182018876075745, 0.1960524320602417, -0.8198704719543457, 1.628757119178772, -0.39071401953697205, -0.04722362756729126, -1.0055311918258667, -0.4156419336795807, 0.5569363832473755, 1.069382905960083, -0.35041481256484985, 1.723728895187378, -0.7564006447792053, 0.4501383900642395, 0.4331200122833252, -0.8572019934654236, 0.18581780791282654, 0.3351953327655792, 1.413012981414795, 0.4473660886287689, -0.1665097177028656, 1.1993495225906372, -0.12313580513000488, -0.025742076337337494, -1.109424114227295, -0.2903134226799011, -0.30033189058303833, 0.19849032163619995, -0.20439936220645905, -0.39721131324768066, -0.9997073411941528, 0.39138510823249817, -0.42718401551246643, -0.2792201042175293, 0.14953334629535675, -0.21656925976276398, 0.26153406500816345, 0.43240728974342346, -0.6519111394882202, -0.2539396584033966, -0.6767328977584839, -0.23277056217193604, -0.2782982587814331, -0.2142414003610611, 0.5113060474395752, -0.6078709959983826, -0.6598069667816162, -0.7992303967475891, -0.8275547623634338, 0.16580356657505035, -1.2678924798965454, 0.5912275314331055, 0.36170339584350586, -0.21100787818431854, -0.3179405629634857, 0.9723538160324097, 1.1155835390090942, -0.08733607828617096, 0.15019355714321136, -0.06938120722770691, -0.7743517160415649, 1.1251718997955322, -1.0609854459762573, 0.7939468026161194, -0.3090217709541321, -0.06924612075090408, -0.26677238941192627, 0.7340899705886841, -0.09343782812356949, 0.24824422597885132, -0.49887368083000183, -0.2896561324596405, 0.0012182493228465319, -0.8473608493804932, 0.2931782603263855, 0.6509512662887573, 0.49992889165878296, -0.891011655330658, 1.3034173250198364, -0.6060009598731995, 0.34210366010665894, 0.09686147421598434, 0.18114499747753143, -0.7660738229751587, -0.2416718453168869, -0.8883824944496155, 0.1723473221063614, -0.45622316002845764, 0.06609072536230087, -0.840632975101471, -0.8281771540641785, 0.28892552852630615, 0.21840624511241913, 0.5721407532691956, 1.3745454549789429, -0.9302681088447571, -0.15807843208312988, 0.7993284463882446, 0.09510239213705063, -0.45870593190193176, -0.12909935414791107, -0.32584667205810547, -0.90077805519104, 0.6466940641403198, 1.1146678924560547, -0.5925071835517883, -0.09537883847951889, 0.03201447054743767, 0.6244943737983704, 0.14106759428977966, 0.5563322305679321, -0.516715943813324, 0.1730337142944336, 0.8058664798736572, 0.20424367487430573, -2.133946418762207, -0.9858826398849487, -0.33456647396087646, -0.0844082459807396, -1.0236210823059082, 0.21115142107009888, -1.2013267278671265, -1.122565507888794, -0.27650317549705505, 0.4039866626262665, 1.1328113079071045, -0.08106035739183426, -0.13542261719703674, 0.47162875533103943, 0.6882967352867126, -0.14310865104198456, -0.14802807569503784, -0.08739953488111496, 0.6803882122039795, 0.666119396686554, -0.20195716619491577, 0.13590843975543976, 0.9311341047286987, -0.7500108480453491, 0.7210736274719238, -0.2183341383934021, -0.9273311495780945, 0.13844244182109833, -0.5191755890846252, -0.542009174823761, 0.14012411236763, -0.2100391685962677, -0.7890408635139465, -0.7345637679100037, 0.19942788779735565, 1.5547919273376465, -0.40554162859916687, -1.9058696031570435, -1.003775715827942, -0.5472713112831116, 1.063969612121582, 0.30891281366348267, -0.531660258769989, 0.4206654727458954, 0.1823403537273407, 0.997812807559967, 0.18980586528778076, -0.5424002408981323, 0.6150851845741272, 0.7623087763786316, 0.24080759286880493, -0.27686116099357605, -0.7022724747657776, -0.34968802332878113, -0.37202340364456177, 0.477983295917511, 0.6905427575111389, 0.4095765948295593, 0.17931394279003143, 0.49098026752471924, -0.6275191307067871, -0.3588549792766571, 0.3602919280529022, -0.418367475271225, -0.38520196080207825, 0.39219042658805847, -1.5692518949508667, 0.8845207691192627, -0.3489095866680145, -0.7777886390686035, 0.22825072705745697, -0.5415526032447815, -0.08452428877353668, 0.4250200390815735, 0.7675840258598328, -0.4591727554798126, -0.44602689146995544, 1.4357444047927856, 1.280295729637146, 0.7024320363998413, 0.05529782176017761, 1.1564586162567139, -2.255615711212158, -0.6068930625915527, -0.2413768172264099, -0.1991376131772995, -0.9427707195281982, -0.3275372087955475, -0.9069744348526001, -0.3586149513721466, 0.06002851948142052, 0.21550899744033813, 1.0393222570419312, -0.2573700249195099, 0.880669355392456, 0.9228838086128235, 0.1886419653892517, -0.28090110421180725, -1.324753999710083, 0.13095374405384064, -0.6446930766105652, -0.41155609488487244, -0.8391722440719604, -0.15214785933494568, 0.07052803784608841, -0.3573436737060547, 0.5219935774803162, -0.19520311057567596, -1.5265467166900635, 0.2889021039009094, -0.22871382534503937, 0.3187980353832245, -0.15899300575256348, 0.005368506535887718, -0.01769290864467621, -0.3739872872829437, -0.3789668083190918, -0.6944310665130615, 0.44873350858688354, 0.6572786569595337, 0.07233165949583054, -8.41391658782959, 0.7951170206069946, -0.2638479471206665, -0.21322260797023773, 0.023942649364471436, -1.6555535793304443, -0.33022013306617737, -0.583835244178772, 0.30072709918022156, -0.8127195835113525, 0.5329795479774475, 0.4318566918373108, 0.4931947588920593, -0.8500849604606628, -0.3013121783733368, 0.4996665418148041, -0.7183279991149902, -0.32507896423339844, -1.97810959815979, 0.5655748844146729, -0.3323151767253876, 1.2521454095840454, -1.0102163553237915, -0.4410363733768463, 0.5279098153114319, 0.2642722427845001, 0.25393110513687134, -0.5280868411064148, 0.30718669295310974, -0.10299743711948395, -0.5889226794242859, 0.9734162092208862, 1.2635983228683472, 0.244855135679245, 1.3937299251556396, -0.9086030721664429, 0.3831433057785034, 0.48357194662094116, 0.11117926985025406, 0.10319118201732635, 0.953767716884613, 0.7399331331253052, -0.006105308886617422, -0.5896238088607788, -1.4064816236495972, 0.04021742194890976, -0.4473568797111511, -0.4879477620124817, 0.9573323726654053, 0.5201744437217712, -1.2735884189605713, -0.3675827980041504, -0.21356546878814697, -0.4886232018470764, 0.03487888723611832, -0.09289301931858063, -1.039211630821228, 0.2877551317214966, -0.9324612617492676, -1.0545494556427002, 0.4031325876712799, -0.6356672048568726, -0.3687225878238678, -0.26967790722846985, -0.2406061291694641, 0.9521334171295166, -0.7577265501022339, 0.8181082606315613, 0.24038735032081604, 0.027677886188030243, -0.10143622010946274, -1.2799077033996582, 0.6993284821510315, 0.40656375885009766, -0.2848174273967743, 0.8134932518005371, 0.06768317520618439, -0.26013314723968506, -1.171447515487671, 0.46471524238586426, 0.7398324608802795, 1.0924190282821655, 0.024082396179437637, 1.3811897039413452, 0.02944423072040081, -1.124617576599121, -0.219927117228508, -0.1378338634967804, 0.40233078598976135, -0.8133874535560608, -0.387788861989975, -0.15759633481502533, 0.6902164816856384, 0.14011265337467194, -1.0279449224472046, -0.66424560546875, 0.09183529764413834, -0.7027642130851746, -0.8434503078460693, 0.6806338429450989, 0.9479662775993347, 0.08690179884433746, 0.81654292345047, 0.5805382132530212, -1.7108879089355469, 0.7126969695091248, -1.4003957509994507, -0.11657016724348068, 0.040950655937194824, 0.1706247329711914, 0.815726637840271, 0.047487106174230576, -1.2910977602005005, 0.3462260067462921, -0.20923851430416107, 0.23812350630760193, 0.0006504767225123942, -0.07288045436143875, -0.38874760270118713, 0.49945008754730225, 0.2458701878786087, 0.18523253500461578, -0.6234936714172363, -0.11820383369922638, -0.7210537791252136, -0.29446738958358765, -1.400881290435791, -1.902684211730957, -0.20326769351959229, -0.11784187704324722, -0.712590754032135, 0.09020105004310608, -0.10521416366100311, -0.17904037237167358, -0.8074293732643127, 0.08782234787940979, 1.0125294923782349, 0.4808257520198822, -0.8517739772796631, 0.5972103476524353, 1.8208339214324951, -0.5257473587989807, 0.41576087474823, -1.4196809530258179, 0.0440218523144722, -0.3250933587551117, -0.5321345925331116, 1.2346490621566772, -0.8641121983528137, -0.7341172695159912, -0.29318031668663025, -0.8892411589622498, 0.1969268023967743, 1.3006190061569214, -0.3479827046394348, -0.6751949191093445, -0.1426229178905487, 0.18353000283241272, -0.2610926032066345, -1.1376960277557373, -0.8645392060279846, 1.0976512432098389, -1.7344790697097778, 0.5935723781585693, -0.12881751358509064, -1.0670692920684814, 0.8892669677734375, -0.3374074399471283, -0.1955338716506958, -1.9603397846221924, -0.14893583953380585, 0.2067835032939911, -1.8343275785446167, -0.09921464323997498, 0.2162683755159378, -0.1963420808315277, -0.4626169800758362, -0.1785300225019455, -0.8350979685783386, -0.12116440385580063, 0.7023772597312927, 0.4442360997200012, 0.20513539016246796, 0.6995428800582886, 1.0024735927581787, -0.19832421839237213, -0.3462139070034027, 0.3911360204219818, -0.1755431443452835, -0.26637569069862366, 0.09246445447206497, 0.04586649313569069, -0.5593056082725525, -0.8427746295928955, -0.8145850896835327, -0.16857890784740448, 0.4222937226295471, 0.5822350382804871, 0.2922176718711853, -1.2258232831954956, -0.16034694015979767, 0.29510390758514404, 0.8960235118865967, 0.13693000376224518, -0.5319100618362427, 0.8459717035293579, 0.48566174507141113, 0.3566381633281708, 0.4697871506214142, 0.26224520802497864, 0.49969518184661865, 0.10684722661972046 ]
177
0704.0179
Marco Bellini
Alessandro Zavatta, Valentina Parigi, and Marco Bellini
Experimental nonclassicality of single-photon-added thermal light states
7 pages, 6 figures, accepted for publication in Phys. Rev. A
PHYSICAL REVIEW A 75, 052106 (2007)
10.1103/PhysRevA.75.052106
null
quant-ph
null
We report the experimental realization and tomographic analysis of novel quantum light states obtained by exciting a classical thermal field by a single photon. Such states, although completely incoherent, possess a tunable degree of quantumness which is here exploited to put to a stringent experimental test some of the criteria proposed for the proof and the measurement of state non-classicality. The quantum character of the states is also given in quantum information terms by evaluating the amount of entanglement that they can produce.
[ { "created": "Mon, 2 Apr 2007 12:37:00 GMT", "version": "v1" } ]
2009-11-13
[ [ "Zavatta", "Alessandro", "" ], [ "Parigi", "Valentina", "" ], [ "Bellini", "Marco", "" ] ]
07
[ -0.724538266658783, 0.8848607540130615, 0.48481160402297974, -0.19688595831394196, 1.3376692533493042, 0.14536131918430328, -0.4878067076206207, -0.20979277789592743, -0.8041812777519226, 0.26128387451171875, -0.29281046986579895, -1.0377100706100464, 0.29433295130729675, 0.7882519960403442, -0.9012404084205627, 0.11850112676620483, 0.26561421155929565, -0.22048377990722656, 0.5473990440368652, 0.5669533610343933, -0.4548828601837158, 0.3302249610424042, -0.12611247599124908, -0.3695136308670044, -0.3142440915107727, -0.19702965021133423, -0.052773408591747284, 1.306527853012085, -0.20570029318332672, 0.8906097412109375, -0.6406893134117126, 0.1543048769235611, -0.39178475737571716, -0.018180930987000465, 0.9649423360824585, 0.39825016260147095, 1.6772056818008423, -1.1322801113128662, -0.4598468840122223, -0.9205296039581299, -0.6965855360031128, 0.6756414175033569, -0.03771532326936722, -0.8609809875488281, 0.4661468267440796, 0.12501639127731323, 1.6629328727722168, 1.162636399269104, -0.21391698718070984, -0.40394511818885803, -0.6851354837417603, -0.25422513484954834, -0.7297146916389465, -0.21636967360973358, 0.026672756299376488, 1.2908604145050049, 0.5049483776092529, -0.2204795777797699, -0.8408035039901733, -1.0959711074829102, 0.04311862215399742, 0.06457669287919998, -0.2616814970970154, -1.2173092365264893, -0.06646601110696793, -0.41830602288246155, 0.11846882849931717, 0.09800773113965988, -0.2185441106557846, 0.9676692485809326, 0.24609071016311646, 0.040854159742593765, -0.7360423803329468, -0.6037074327468872, 0.3596144914627075, -0.11462023854255676, 0.9590401649475098, -0.0755516067147255, 1.8556833267211914, 0.6396641731262207, 1.394295573234558, -0.4815828502178192, -0.1756831705570221, -0.9805025458335876, -0.4148673713207245, 0.7055983543395996, 0.3246929943561554, -0.5978524088859558, -1.0864368677139282, -0.5522304177284241, 0.292610764503479, -0.9492268562316895, 0.03916768729686737, -0.3628169000148773, 0.604020357131958, 0.08504068106412888, -1.022180199623108, -1.1771105527877808, 0.41004782915115356, -0.293666809797287, 0.03367256373167038, 0.31365451216697693, -0.2955441176891327, 1.6345733404159546, -0.35309627652168274, 0.48039278388023376, 0.7529293298721313, -0.9184377193450928, -0.5771129727363586, -0.3345988690853119, 0.7397463917732239, -0.9617452621459961, 0.10334035754203796, -0.11414910107851028, 0.7024624943733215, 0.7816697955131531, 0.47518932819366455, 0.2898150086402893, 0.8164377212524414, 0.73062664270401, 0.6199092864990234, 0.20636843144893646, -0.2001870721578598, -0.2790865898132324, -0.19177944958209991, 0.23172570765018463, 0.5591264963150024, -0.43987664580345154, 0.8134265542030334, -0.11397022008895874, -0.16896043717861176, -0.4700319468975067, -1.0772826671600342, 0.9259806275367737, -0.2171032577753067, -0.07439415156841278, -0.5279793739318848, -0.02692977897822857, 0.11715935170650482, -0.1602647602558136, -0.25596633553504944, 0.7932277917861938, -0.6467928290367126, 0.32590529322624207, -0.23328743875026703, 0.020713450387120247, 0.4822149872779846, -0.04659712687134743, -0.05373762547969818, 0.1029408723115921, -0.006294291000813246, -1.3254904747009277, -0.3111397325992584, -0.35356375575065613, 0.4844716787338257, -0.7396321296691895, -0.5158053636550903, 0.5285995602607727, -1.006181001663208, -0.6374658942222595, 0.450540155172348, 0.11050119996070862, 0.4561688303947449, 0.47176826000213623, -0.4620899260044098, -0.25877708196640015, -0.8531531095504761, -0.5385313630104065, 0.18423190712928772, 0.5080773234367371, 0.07395634055137634, -0.7141213417053223, -0.611677885055542, 1.504291296005249, -1.4464982748031616, -0.7866858839988708, 0.895673394203186, 0.0860721692442894, 0.24773356318473816, 0.42651835083961487, 1.1782766580581665, 0.039528097957372665, -0.9471324682235718, 0.33978137373924255, -0.037776023149490356, 0.5119973421096802, 1.1350802183151245, -0.13754616677761078, -0.4670468866825104, 1.1386547088623047, -0.2194860279560089, 0.006594565697014332, -0.23441793024539948, 0.49874377250671387, -0.29053547978401184, 0.6505048274993896, -0.14615167677402496, 0.12824852764606476, -0.8654094338417053, 0.2517862021923065, 0.08983016759157181, -0.38957998156547546, 0.7098004221916199, -0.3097827732563019, -1.0304325819015503, -0.12337018549442291, -0.27565810084342957, 0.722943127155304, 0.04264487698674202, 1.234840750694275, -0.5221424698829651, 0.19286057353019714, -0.10255756229162216, -0.009223449043929577, -1.1083617210388184, -0.1009245216846466, 0.28602081537246704, -0.7951931357383728, -0.4170178771018982, 0.7750994563102722, -0.08519303053617477, 1.5815258026123047, 0.547822892665863, -0.08603278547525406, -0.9438895583152771, 1.1794403791427612, -0.7732798457145691, 0.38078323006629944, 0.47616925835609436, -1.1949717998504639, 0.22805418074131012, -0.38989317417144775, 0.6683105826377869, -0.049148835241794586, 0.8054541945457458, -0.24426327645778656, -0.5684418678283691, 0.6851571798324585, 0.3309803307056427, -0.1563948690891266, 0.012026664800941944, 0.07323320209980011, -1.3901258707046509, 0.5563223361968994, -0.3280077874660492, 0.006580759305506945, 1.7406516075134277, 0.3411129117012024, -0.9962261319160461, -0.09259022772312164, 0.5468993186950684, 0.08244812488555908, 0.3314302861690521, -0.4008353054523468, 0.7893380522727966, 0.7416115999221802, 0.7463327050209045, -0.10652238875627518, -0.036452826112508774, 0.31136074662208557, -0.02821139246225357, -1.3029003143310547, 0.8006283640861511, 0.162777841091156, 0.5553366541862488, -1.2307859659194946, 0.8243081569671631, -0.7207562327384949, -1.2218557596206665, -0.5060161352157593, -1.3063088655471802, 0.16130487620830536, -0.021888889372348785, 0.3654669523239136, 1.0374386310577393, -1.5867491960525513, 0.1525787115097046, 0.9955956935882568, -0.369153767824173, 0.08358045667409897, -0.14727509021759033, 1.680216908454895, -0.7753877639770508, 0.7196769118309021, 0.48102444410324097, 0.36337122321128845, -0.24867840111255646, 0.2361162304878235, 0.6682928800582886, -0.19414575397968292, 0.4361295700073242, -0.5002169609069824, -0.37391945719718933, -0.19243456423282623, -0.5673990249633789, -1.0351849794387817, -0.9857038855552673, -0.2784777581691742, 0.1456177681684494, -0.8785558342933655, 0.062304120510816574, -0.3686618208885193, 0.15895982086658478, -0.4287242293357849, -0.8329806327819824, -0.004511627834290266, 0.7707288265228271, 1.111390471458435, 0.5419037938117981, 0.4130609631538391, -0.3679381310939789, -0.21898424625396729, -0.7272334694862366, 0.6432218551635742, 0.5608037710189819, -0.3535270392894745, 0.31338903307914734, -0.04627270624041557, -0.992962658405304, -0.9759072661399841, 0.41866040229797363, 0.2622486650943756, -0.23742488026618958, -0.5366449356079102, 0.7160125970840454, 0.7413821220397949, 0.23111580312252045, -0.5522302985191345, 1.2365888357162476, -0.5513455271720886, 0.6262755393981934, 0.10365360230207443, -1.2485216856002808, 0.22863006591796875, 0.038558222353458405, -1.1536680459976196, -0.2203471064567566, 0.9585888981819153, 0.6555752158164978, 0.4210413098335266, -0.9732719659805298, 0.34042319655418396, 0.16651883721351624, 0.12258502840995789, -0.08875218033790588, 0.19715620577335358, 0.06878446042537689, -0.7132961750030518, 0.9620939493179321, 0.3950570523738861, 0.025374826043844223, -0.31015828251838684, -0.7388399243354797, -0.5454533100128174, 0.10295261442661285, -0.23664532601833344, 0.23821458220481873, 1.5020018815994263, -1.0510334968566895, -0.6909958720207214, -0.4211271405220032, 0.5257803797721863, 0.6264940500259399, 0.008061123080551624, 0.23478741943836212, -0.14216960966587067, -0.15791457891464233, -0.7623714804649353, -1.2794702053070068, -0.7288528680801392, -0.9412848353385925, -0.7196081876754761, 0.017893869429826736, -0.31506121158599854, -0.17417943477630615, -0.767728328704834, -0.22832946479320526, 0.2623905837535858, 0.2734256088733673, 0.7145392894744873, -0.3567107915878296, -0.355825275182724, 1.2094261646270752, -0.6802204251289368, -0.549083948135376, -0.6393365263938904, -0.6805105209350586, 0.502970278263092, -0.9129384160041809, -0.07918331772089005, -0.415539026260376, 0.1281202882528305, 0.38964590430259705, -0.41934365034103394, -0.5824622511863708, -0.02304704301059246, 1.3647750616073608, -0.09878627955913544, -0.8303675055503845, 0.022670019418001175, 0.8833802342414856, -0.33435776829719543, -0.5419854521751404, -0.8045247197151184, -0.8527052402496338, -0.21163064241409302, 1.0046706199645996, 0.031362202018499374, 1.9813238382339478, -0.9441215395927429, -0.5598511695861816, -0.4541947841644287, 0.38929301500320435, 0.06995654851198196, 1.5738332271575928, -2.3065500259399414, -0.791640043258667, 0.15721619129180908, -0.4539928138256073, -0.9451498985290527, 0.2639884352684021, -0.005596050526946783, 0.00977142620831728, 1.0005182027816772, -0.25404223799705505, 0.6569554805755615, -0.8654101490974426, -0.48267388343811035, 0.39252611994743347, -0.7369192838668823, -1.1971341371536255, -0.1948462575674057, 0.5984393358230591, 1.8782888650894165, -0.5494136810302734, -0.23363150656223297, -0.2976112961769104, 0.8481174111366272, 0.7023015022277832, 0.20543496310710907, -0.6336508989334106, 0.5839830040931702, 0.02195856161415577, -1.5085558891296387, -0.08348404616117477, -1.2603636980056763, -1.8027456998825073, 0.5389561653137207, 0.7553826570510864, 0.5575668215751648, 1.0431336164474487, 0.8928543329238892, -0.9046125411987305, -1.4818161725997925, 0.039820797741413116, -1.019383192062378, -0.36067453026771545, 1.0443675518035889, -1.2646011114120483, 0.6048295497894287, -0.9749832153320312, 0.49897444248199463, 1.4252793788909912, -1.4926629066467285, -0.5382512211799622, -0.6505059599876404, 0.43741661310195923, -0.9159122705459595, -0.8709875345230103, -0.10003013908863068, 0.24262981116771698, -1.345542550086975, 0.009833184070885181, 0.9752008318901062, -0.9076085686683655, 0.8952914476394653, 0.13357719779014587, 0.12755253911018372, -1.185469388961792, -0.27568918466567993, -0.3118206262588501, 1.1192244291305542, -1.8273115158081055, -0.31382083892822266, -1.0908496379852295, -0.7019688487052917, -0.4940989315509796, 0.21681708097457886, -0.36443307995796204, 0.4319835305213928, -0.0003122448397334665, 0.19165566563606262, 0.026345940306782722, 0.21361468732357025, 0.19380605220794678, 0.21601520478725433, -0.023875568062067032, -1.1574103832244873, 0.4686184227466583, -0.000013987431884743273, 0.02553565241396427, -0.3751680850982666, -0.3695196807384491, -0.22231881320476532, -0.8046848177909851, -0.5876771211624146, 0.3647412657737732, 0.21040785312652588, -0.6971861124038696, 0.6301648616790771, -0.24486853182315826, -0.28402480483055115, 0.4942682385444641, 0.4479885399341583, 0.5414167642593384, -0.8947591185569763, -1.4311805963516235, -2.4614694118499756, 2.0822408199310303, -0.8942989110946655, 0.6296141147613525, -0.4882992208003998, 0.7610536217689514, -1.1325955390930176, -0.6739509105682373, -0.36835673451423645, 0.48397600650787354, 0.8938313126564026, 0.1759689599275589, 0.2664715051651001, -0.3916488289833069, -0.2308652698993683, 1.1081863641738892, -0.11297398805618286, 0.39060550928115845, 1.704872727394104, 0.07930870354175568, -0.14335496723651886, -0.8367299437522888, 0.06585337966680527, 0.3096502423286438, -0.5835837125778198, -0.371489018201828, -1.7304418087005615, 0.8492274284362793, 0.6311017274856567, -2.109293222427368, -0.197459414601326, -0.4079163074493408, 0.1966630071401596, 0.8437932133674622, -0.4969320297241211, 1.0916047096252441, 0.2733268439769745, -0.07567166537046432, -0.925450325012207, -7.618381023406982, 0.2422722578048706, -1.3229632377624512, 0.21048815548419952, 0.06704089045524597, -0.5055485963821411, 0.8670097589492798, 0.10359715670347214, 0.020257288590073586, 0.4435935318470001, 0.84608393907547, -0.23216813802719116, 0.3269878029823303, -0.6821274161338806, -0.9757944941520691, -0.27345526218414307, 0.29921936988830566, 0.8115308284759521, -0.4305154085159302, 0.8226559162139893, -2.5837714672088623, -0.119717538356781, -1.1234928369522095, 0.2240840494632721, 1.9436129331588745, 0.8611510992050171, -1.362419843673706, 0.10078617185354233, -0.34323158860206604, 0.6628511548042297, 0.18428833782672882, 1.2922635078430176, -0.3462407886981964, 0.5655439496040344, -0.15102578699588776, 0.17869989573955536, 0.6734309196472168, 0.8698724508285522, -0.395026832818985, -0.36371999979019165, 0.06714361160993576, -0.7241065502166748, -0.953277051448822, -0.4003816246986389, 0.10594944655895233, 0.8512321710586548, -0.3007882535457611, -0.1623038947582245, -0.10173357278108597, 0.9551610946655273, 0.49983054399490356, -0.43947553634643555, -0.40562373399734497, 0.0019283208530396223, -0.7247797250747681, -0.4494273066520691, -0.7656071186065674, -0.7939429879188538, 0.2478352189064026, -0.25848111510276794, 0.2906329035758972, -0.43273431062698364, -0.2488509565591812, -0.5194469690322876, -0.008518364280462265, -0.027400927618145943, -0.013541873544454575, -1.1784392595291138, 0.3893073499202728, 1.4196707010269165, -0.6302449703216553, -0.8973672986030579, 0.340300053358078, -0.17464008927345276, 0.6336162090301514, -0.25532492995262146, 0.575368344783783, -0.3190174996852875, -1.240342378616333, 0.003483027685433626, -0.3858600854873657, 1.365314245223999, 0.6603400707244873, 2.0264687538146973, 0.5330289602279663, -1.0361721515655518, -0.733966588973999, -1.0874686241149902, 0.7967284321784973, 0.25214993953704834, -0.04860062524676323, 0.7407853603363037, -0.5262060165405273, 0.401446133852005, 0.7799052000045776, 1.262793779373169, -0.034173283725976944, -2.614408493041992, -0.525860071182251, -0.564425528049469, -1.2273575067520142, -0.4721388816833496, -0.32118329405784607, -0.38015416264533997, -0.4261054992675781, 0.3876855969429016, 0.817010223865509, 0.429898738861084, -0.49372243881225586, 0.590451180934906, 0.13168123364448547, 0.4620245397090912, -0.9259865283966064, -1.1313661336898804, 0.402625173330307, 0.2522115707397461, 0.20140159130096436, 0.20909179747104645, -0.7933196425437927, -0.2443923056125641, -0.8352054357528687, -1.0634422302246094, 0.410818874835968, 0.9775928258895874, 0.5719640254974365, -0.2648876905441284, 0.7959389090538025, -1.3113526105880737, -0.4818393290042877, 1.306501865386963, -0.5283836126327515, -1.0523850917816162, 0.5896180272102356, 0.3743741512298584, -0.668025553226471, -0.24711951613426208, -0.21010369062423706, 0.8749226927757263, 0.6289300918579102, 0.1533457189798355, 0.8026956915855408, 1.0899490118026733, -0.574302077293396, 0.5014750957489014, 0.5326082706451416, -0.10765393078327179, -0.1637474149465561, 0.32279786467552185, -0.5854688286781311, -0.028292277827858925, 0.1904001235961914, -0.5359055399894714, -0.13792681694030762, 0.19086915254592896, -0.08611490577459335, 0.9052738547325134, -1.3948251008987427, -0.4398356080055237, -0.11706571280956268, 0.06517069786787033, -0.029844539240002632, -0.685583770275116, 1.5540024042129517, 2.1514205932617188, -0.5323193669319153, -1.1545581817626953, -0.7674274444580078, -0.4541321098804474, 1.55837881565094, -0.9096766114234924, -0.05259343981742859, -0.3692266345024109, 0.08938532322645187, -0.2936686873435974, -0.5137582421302795, 0.7044587731361389, -0.11976496875286102, 0.3066486120223999, -0.8324514627456665, -2.3975658416748047, 0.44278275966644287, 1.2221425771713257, 0.46029138565063477, -0.39479881525039673, -0.042852770537137985, 1.2385172843933105, 0.09653698652982712, 0.45553624629974365, 0.250910222530365, 0.29932910203933716, -0.4408602714538574, 0.15495480597019196, -0.10428117960691452, 0.7957292795181274, 0.031427301466464996, -1.1201711893081665, -0.020021066069602966, 0.04029277712106705, 1.1461925506591797, -0.02519110217690468, 0.3824513852596283, -0.3334439992904663, 0.7237486243247986, -0.4214359223842621, 0.2847365736961365, 1.4117473363876343, 0.2066642791032791, -0.14955785870552063, -1.180325984954834, -0.7018324732780457, 0.6244572997093201, -1.041332721710205 ]
178
0704.0180
Vadim A. Rodin
Vadim Rodin
Neutron Skin and Giant Resonances in Nuclei
8 pages, 5 figure; Proceedings of the 28th Int. School on Nuclear Physics "Radioactive Beams, Nuclear Dynamics and Astrophysics", Erice, Italy, Sept. 16-24, 2006. To appear in Prog.Part.Nucl.Phys
Prog.Part.Nucl.Phys.59:268-276,2007
10.1016/j.ppnp.2007.01.023
null
nucl-th
null
Some aspects, both experimental and theoretical, of extracting the neutron skin $\Delta R$ from properties of isovector giant resonances are discussed. Existing proposals are critically reviewed. The method relying on the energy difference between the GTR and IAS is shown to lack sensitivity to $\Delta R$. A simple explanation of the linear relation between the symmetry energy and the neutron skin is also given.
[ { "created": "Mon, 2 Apr 2007 12:40:00 GMT", "version": "v1" } ]
2008-11-26
[ [ "Rodin", "Vadim", "" ] ]
07
[ 0.0967138484120369, 0.7905856966972351, 0.18996767699718475, -0.32046955823898315, -0.2847888767719269, 0.39785081148147583, 0.3342735171318054, -0.2601745128631592, 0.5351427793502808, -1.2519662380218506, -0.8615296483039856, 1.3021715879440308, 0.260328084230423, -0.056175507605075836, -1.3048062324523926, -0.2036273330450058, -0.5049015283584595, -0.7996590733528137, -0.26168957352638245, -0.22654129564762115, 0.5965068340301514, -0.05245863273739815, 0.41679254174232483, 0.5091338157653809, -0.12911570072174072, -0.39919641613960266, -1.0149301290512085, 0.7367957234382629, -1.1739331483840942, 0.1406867951154709, 0.6316733956336975, 0.4747522473335266, -1.063012719154358, 0.8554695248603821, -0.5732807517051697, 0.22756612300872803, -0.37324953079223633, 0.03599054366350174, -0.5739064812660217, 0.7312055230140686, 0.38271141052246094, -0.2565152049064636, 1.1866544485092163, -0.21308694779872894, 0.4932488799095154, 0.007881741039454937, -1.0429189205169678, -0.8174360990524292, 0.027652807533740997, 1.4174699783325195, -0.19542542099952698, 0.24190250039100647, -0.5878584384918213, 0.25093087553977966, -0.21343299746513367, 0.4488893151283264, 0.07559198141098022, 0.8249214887619019, -0.09448722749948502, -0.8311206698417664, -0.03071509301662445, -0.46399563550949097, -0.7042105197906494, 0.40650054812431335, -0.04052351042628288, -0.2027091681957245, -0.21686531603336334, 0.9009325504302979, 1.000427007675171, -0.3331616520881653, -0.5336533784866333, -0.036677464842796326, 0.6370922923088074, -1.8233617544174194, -0.9834938049316406, -0.6131762862205505, 0.26462051272392273, 0.4192054271697998, 0.9605417251586914, 0.4761642515659332, -0.872745931148529, -0.22717325389385223, -0.94747394323349, -1.7007050514221191, 1.0793284177780151, -0.3678797781467438, -0.4175247550010681, -1.1676157712936401, -1.2172353267669678, -0.5883834362030029, -0.42277559638023376, -1.0034538507461548, -0.07870754599571228, -0.17835524678230286, -1.2132463455200195, 0.47291550040245056, -0.7793115377426147, 0.013911974616348743, 0.36263421177864075, 0.9115204215049744, 0.011618468910455704, 0.11181262135505676, 0.5767508149147034, 0.35190561413764954, 0.233821302652359, 0.24180930852890015, -0.2756637632846832, 0.5355575680732727, -0.7715407609939575, -0.17718572914600372, -0.10838469862937927, -1.1219189167022705, -0.4556848108768463, 0.5330201387405396, -0.8542057871818542, 0.2131057232618332, -0.6105926632881165, 0.35158687829971313, -0.1626712530851364, 0.3776704967021942, 0.0491553358733654, -0.8161095380783081, -0.5168988108634949, 0.07551110535860062, 0.9101389646530151, 0.021006429567933083, -1.4916462898254395, -0.877564013004303, -0.12442296743392944, -0.8416907787322998, -0.12191721796989441, 0.3341495096683502, -0.9229583144187927, 2.2386209964752197, -0.3963260352611542, -0.5257574319839478, -0.3053448498249054, -0.18429410457611084, 0.6370609998703003, -0.6552546620368958, 0.22819015383720398, -0.9496752023696899, -0.3173390030860901, 1.4226213693618774, 0.2501450181007385, -0.3714809715747833, 0.4332376718521118, -0.6757340431213379, 0.9616641998291016, 0.2889476716518402, 0.6158376932144165, -1.842230200767517, -0.1698351800441742, 0.7609620094299316, -1.2252835035324097, 0.45604926347732544, 0.28148797154426575, 0.6672448515892029, 0.4119553565979004, 1.1382408142089844, 0.41742265224456787, 0.17544417083263397, 1.0929893255233765, -1.1799873113632202, -0.0923384353518486, -0.5015453696250916, 1.476239800453186, 0.13761933147907257, -0.673184871673584, -1.1754024028778076, -1.069924235343933, 0.07862677425146103, 0.2637338936328888, -0.4593240022659302, -1.0849555730819702, -0.8747740387916565, 0.330182284116745, -0.20425674319267273, 0.7184116244316101, 0.7577070593833923, -2.0181055068969727, -1.125990629196167, 0.9602089524269104, 0.668570876121521, 0.2708891034126282, -0.42043522000312805, 0.7214616537094116, -0.5665701031684875, -0.409003347158432, 0.15037067234516144, -0.9006862044334412, -0.36741089820861816, -1.136579990386963, 1.231331706047058, -0.31067049503326416, -0.6712426543235779, 0.20782342553138733, 0.5339400172233582, 0.138309046626091, -0.39173850417137146, -1.0360996723175049, 0.6407965421676636, -0.044386450201272964, 0.20435376465320587, 1.3959946632385254, 0.04187936708331108, -0.20365813374519348, 1.1399610042572021, -0.43164923787117004, 0.007388331927359104, 0.9452931880950928, -0.1192818433046341, 1.2149467468261719, -0.38940125703811646, 0.11075589805841446, -0.3257251977920532, 0.1651308834552765, -0.7259398102760315, -0.40044331550598145, -0.21067439019680023, 1.44275963306427, 0.9639033675193787, 0.3980562686920166, -0.7822666168212891, -0.3194490373134613, -1.1657898426055908, 0.9787977337837219, -1.4170976877212524, 0.14387720823287964, 0.7530546188354492, 0.03440529480576515, -0.724160373210907, -0.14232175052165985, -0.5674598813056946, 0.6357654333114624, 0.5606797933578491, -0.4684108793735504, 0.13170939683914185, -0.6781370043754578, -0.22042836248874664, 0.32657158374786377, -0.08124170452356339, 0.620516300201416, -0.8712446689605713, -0.758179783821106, -0.012056381441652775, 0.023341365158557892, 0.45545294880867004, 0.4841945767402649, -0.11966964602470398, -0.37157976627349854, -0.13769090175628662, 0.8735439777374268, -0.4950183928012848, 0.039297185838222504, -0.14344213902950287, -0.8702351450920105, -1.476340889930725, -0.556891143321991, -0.14330647885799408, -0.01440770085901022, -0.10983981192111969, -0.3395894169807434, 0.3266926407814026, -0.16575095057487488, -0.630651593208313, -0.43574991822242737, -0.7033007740974426, -1.6161895990371704, -0.4308442771434784, 0.11402425169944763, -0.8057427406311035, 1.461169958114624, -0.011119279079139233, 1.2037712335586548, 0.9152771830558777, -0.6102047562599182, -1.6406829357147217, -0.5605888366699219, -0.4588698744773865, 0.15491963922977448, 0.014839274808764458, 0.16753770411014557, 0.4079258441925049, 0.27363070845603943, -0.24255970120429993, 1.3258973360061646, 0.23991984128952026, 0.9152209758758545, -1.1561354398727417, 0.20324501395225525, -0.7518612742424011, -0.15253734588623047, -0.7666694521903992, 0.35582584142684937, 0.01861233450472355, 0.28293749690055847, -0.6611245274543762, -0.3886822462081909, 1.0585219860076904, 0.17859987914562225, -0.4339217245578766, -0.2844909429550171, 0.2251155823469162, 0.91030353307724, -0.2871488332748413, -0.5146798491477966, -0.15428602695465088, 0.04604950547218323, -0.3531477153301239, -0.8497790694236755, 0.5677347779273987, 1.1934449672698975, 1.5917367935180664, -0.5157119035720825, 0.15919598937034607, 0.8476454019546509, -0.3534400463104248, -0.7056833505630493, -0.7839788198471069, -0.2330925166606903, 0.5763375759124756, -0.8272333741188049, 0.7666226625442505, 0.3261154890060425, -0.4868755638599396, 0.6278164982795715, -0.31886112689971924, -0.4302575886249542, 1.019446849822998, -0.6811658143997192, -0.19050458073616028, 0.3159824013710022, -0.37122398614883423, -0.8144338726997375, -0.07901301980018616, 1.1053314208984375, -0.042403265833854675, -0.15178249776363373, -0.15398408472537994, 0.6840546131134033, 0.3213755786418915, -0.8107293844223022, 0.5932047367095947, -1.2468496561050415, 0.03499623388051987, -0.04334556683897972, -0.4012250602245331, 0.19138558208942413, 0.5509825348854065, -1.2872977256774902, 0.09300979971885681, 0.742928147315979, 0.41194814443588257, 0.7620664834976196, 0.24464473128318787, 0.5561494827270508, 1.2251919507980347, 0.6831680536270142, -0.4028910994529724, -0.2370847761631012, -0.12702207267284393, -0.6273654699325562, -0.5774241089820862, -0.03934786468744278, 0.24095763266086578, -1.201050877571106, 0.6020171046257019, 0.7015074491500854, -0.3463280200958252, -1.359705924987793, 0.18890900909900665, 0.49374738335609436, 0.2269495278596878, 1.6040494441986084, 0.3641035556793213, 0.5851250886917114, -0.2095775604248047, -0.4758163392543793, -0.33556532859802246, -0.6903164386749268, -1.1037440299987793, 0.4634219706058502, 0.6696314215660095, 0.63869309425354, 0.9575634598731995, 0.22057770192623138, 0.2152087688446045, 0.07376152276992798, 0.5352017283439636, -2.052753448486328, -0.5879884958267212, 0.2755023241043091, -0.11970872431993484, 0.4733245074748993, 0.45015662908554077, 0.8944266438484192, 0.24266217648983002, 0.6057453751564026, 0.9041410684585571, 0.10851169377565384, -0.07120467722415924, -0.32607853412628174, -0.677809476852417, 0.31946077942848206, -0.6139757037162781, 0.22091558575630188, 1.0759650468826294, 0.00012949095980729908, -0.41658514738082886, 0.39320194721221924, -0.1555994749069214, -0.21501928567886353, 0.2615329623222351, 0.7988256216049194, -1.2870649099349976, -1.0206438302993774, -0.8639776110649109, 0.7755481600761414, 0.3715156018733978, 0.6782008409500122, -0.8485419154167175, 0.01510663703083992, -0.10282324254512787, 0.909921407699585, 0.3437211215496063, -0.777264416217804, -0.05118736997246742, 0.5406602621078491, 0.07832662016153336, 0.5315108895301819, 0.11835048347711563, -1.0427721738815308, -0.757493793964386, 0.3209322988986969, -0.7527289986610413, 1.0708743333816528, 1.3951647281646729, -0.3584792912006378, 0.6584652662277222, 0.5850164294242859, -0.6542858481407166, 0.46976470947265625, -0.6532745361328125, -0.6207957863807678, 0.20914341509342194, 0.3312986493110657, 1.1615664958953857, -0.5792616605758667, 0.2679103910923004, 0.5401195287704468, 1.1759756803512573, 0.7769028544425964, 0.38417303562164307, 0.37742477655410767, -0.09054473787546158, -0.861439049243927, -0.573408842086792, 1.4133251905441284, 0.5888453125953674, -1.3628584146499634, -1.2297947406768799, 0.3418368697166443, -0.3544165790081024, 0.07813612371683121, -0.5734972953796387, 0.3926697075366974, -0.18493813276290894, -0.4132479429244995, 0.8198501467704773, 0.9660729765892029, -0.8947454690933228, -0.11753574013710022, -1.4757887125015259, -1.0410377979278564, 0.3856717050075531, 0.22272789478302002, 1.264342188835144, 0.010950510390102863, -1.858908772468567, 0.06177815794944763, 1.1245275735855103, -1.6845343112945557, -0.5773642659187317, -0.2762144207954407, -0.8645166158676147, -0.9162427186965942, -1.2361376285552979, 0.2933296859264374, 0.7965264916419983, -1.1483848094940186, -0.7369207143783569, 0.21232718229293823, 1.5048913955688477, 0.7234315276145935, 0.8595559000968933, 0.7865758538246155, 0.8786599636077881, 1.3233699798583984, 0.3681451380252838, 0.023900462314486504, -0.4168950021266937, 0.48720481991767883, -2.421895980834961, -0.9788442850112915, 0.25113072991371155, 0.450160413980484, 0.4701070487499237, -0.4152381718158722, 0.10750027000904083, -0.14334815740585327, 0.9420378804206848, 1.1372891664505005, 0.7455233335494995, -0.7467647790908813, 0.5184609293937683, -0.38459715247154236, -3.0722367763519287, -0.007700512185692787, -0.8468785285949707, -0.0005963732837699354, 0.7580906748771667, -0.8643589019775391, 1.2657411098480225, 0.24932487308979034, -0.7285292744636536, -0.14275768399238586, 0.3700459897518158, -0.6798146367073059, 0.4967305362224579, -0.15590286254882812, 0.5227809548377991, 0.8432354927062988, -1.3677616119384766, -1.2499219179153442, -0.4935530722141266, 1.3366851806640625, 0.6202149987220764, -0.20521245896816254, -1.0709004402160645, -0.32469528913497925, -0.0912434533238411, 0.34752124547958374, 0.036366939544677734, -0.8777638673782349, -0.5712924003601074, -0.26121750473976135, -0.5187545418739319, -0.14216865599155426, 1.448921799659729, -0.12645676732063293, 0.48548007011413574, -1.0245250463485718, 0.9980138540267944, 0.18525870144367218, -1.1386655569076538, -7.255913734436035, -0.5741484761238098, 0.686169445514679, 0.32817232608795166, 0.24055102467536926, -1.0951895713806152, 0.33693110942840576, 0.39505842328071594, 1.0154918432235718, -0.4958300292491913, 0.6435933709144592, 0.3417441248893738, 0.171672984957695, 0.6784231662750244, -0.6250540614128113, -0.2621556222438812, 0.2264433056116104, -0.8710421323776245, 0.06956248730421066, 0.4261116087436676, -1.3761664628982544, 0.5702180862426758, 0.9559886455535889, -1.0169416666030884, -0.3848070204257965, 0.8203470706939697, 0.13725294172763824, -0.19180521368980408, -1.189997911453247, 0.9280083179473877, -1.1613880395889282, 2.051697015762329, -0.1779567301273346, 0.009317435324192047, -0.6866762638092041, 0.675981879234314, 0.06974578648805618, -0.2394147515296936, 0.07069993019104004, -0.7834107279777527, 1.201905608177185, -0.015221516601741314, 0.7207291722297668, -1.6812386512756348, -0.5016828775405884, -0.2526611089706421, 0.458771288394928, -0.16861768066883087, 0.2538512647151947, -0.20968753099441528, 0.3882400691509247, -0.6048771739006042, 0.0315517894923687, -0.737718403339386, 0.8852366209030151, -0.2195788472890854, -0.9513197541236877, 0.35983219742774963, -0.3598146438598633, 0.07344471663236618, -0.9514512419700623, 1.1842457056045532, 0.25988513231277466, 0.13021953403949738, -0.9516610503196716, -0.5162685513496399, 0.4919215738773346, 0.7666727304458618, 0.21331067383289337, -0.2017669379711151, -0.578018844127655, -1.2522337436676025, 1.5539323091506958, -0.8970715999603271, -0.7929256558418274, 0.7025030851364136, -1.025968313217163, 1.5702859163284302, -0.019270099699497223, 0.4653863310813904, 0.3173220753669739, 0.6295263767242432, 0.007795673329383135, 0.17309144139289856, 0.562641441822052, -0.7523097991943359, -0.7114489078521729, 1.4364994764328003, -0.3492651581764221, -0.5595759749412537, -0.2957605719566345, -0.23623865842819214, 0.042643699795007706, 0.6654629111289978, 0.2900063395500183, -0.009824128821492195, 1.6496763229370117, -0.401541143655777, -0.6440019607543945, -0.08528205007314682, -0.9359580278396606, -0.10681094229221344, 0.7030153274536133, 0.0984954684972763, 0.5656481385231018, -0.5384095907211304, -1.7022902965545654, 0.4025265574455261, 0.039227649569511414, 0.7167618870735168, 0.44504544138908386, 0.06122257187962532, -1.744842767715454, 0.6123256087303162, 0.47528913617134094, -1.9671193361282349, -0.5346831679344177, 0.3588411211967468, 0.37543049454689026, -1.8517824411392212, -1.4180002212524414, 1.1153455972671509, -0.3468150794506073, -0.26786676049232483, 0.8680976033210754, -0.7848971486091614, 0.4646117687225342, 0.10438264906406403, -1.0316579341888428, -0.23677188158035278, -0.9707581400871277, -0.23098868131637573, 0.3902752101421356, -0.1290682852268219, -0.10235434770584106, 0.27995210886001587, 0.4982716739177704, -1.9298112392425537, 0.385722815990448, 0.4510165750980377, -0.1568240523338318, -0.367613822221756, 0.4130163788795471, -1.058577299118042, 0.36496034264564514, 0.7773780822753906, 0.45080116391181946, 0.44981613755226135, 0.7176244854927063, -0.4076346755027771, -0.7284197807312012, 0.21329684555530548, -1.1091632843017578, 0.5832422375679016, 0.06464546173810959, -1.3369343280792236, -0.5925601124763489, -0.7778900861740112, -0.48226478695869446, -0.0177255030721426, 0.5030423998832703, -1.3190572261810303, 0.6121435165405273, 0.23328402638435364, -0.5741139054298401, -1.2543971538543701, -0.6468529105186462, 0.44299840927124023, 0.6021948456764221, 0.997359573841095, 0.7693656086921692, 0.6181302070617676, -1.1481868028640747, 0.49087145924568176, -0.6420578360557556, -0.1212184727191925, -1.4444860219955444, 0.8331012725830078, 0.19000226259231567, 0.48899319767951965, -0.6937716603279114, 0.8429625034332275, -0.10854347795248032, 0.5112804770469666, 0.26339590549468994, 2.229372024536133, 0.449893593788147, 0.6694214344024658, -0.24240757524967194, 0.24588602781295776, -0.5809374451637268, -0.23604054749011993, -0.3092386722564697, -0.5958088636398315, -1.0071722269058228, -0.2913280129432678, 0.08851338922977448, 0.34446409344673157, -0.990770697593689, 0.2662128508090973, -0.9560726284980774, 0.5091137290000916, 1.14755380153656, 0.24495162069797516, 0.23857691884040833, -0.3986313045024872, -0.3404800295829773, 1.4772130250930786, -0.7212318778038025, -0.6740908622741699, -0.6543014049530029, -0.20724701881408691 ]
179
0704.0181
Joel Goh
Joel Goh, Ilya Fushman, Dirk Englund, and Jelena Vuckovic
Genetic Optimization of Photonic Bandgap Structures
9 pages, 20 figures
null
10.1364/OE.15.008218
null
physics.optics physics.comp-ph
null
We investigate the use of a Genetic Algorithm (GA) to design a set of photonic crystals (PCs) in one and two dimensions. Our flexible design methodology allows us to optimize PC structures which are optimized for specific objectives. In this paper, we report the results of several such GA-based PC optimizations. We show that the GA performs well even in very complex design spaces, and therefore has great potential for use as a robust design tool in present and future applications.
[ { "created": "Mon, 2 Apr 2007 12:40:02 GMT", "version": "v1" } ]
2009-11-13
[ [ "Goh", "Joel", "" ], [ "Fushman", "Ilya", "" ], [ "Englund", "Dirk", "" ], [ "Vuckovic", "Jelena", "" ] ]
07
[ 0.25105181336402893, -0.5514472126960754, -0.1513320654630661, 0.5317078828811646, 0.3897768557071686, -0.5126768946647644, 0.4419567286968231, -1.3390897512435913, -0.9784250259399414, -0.2491699755191803, 1.339974045753479, -1.2106977701187134, 0.44717445969581604, -0.21163585782051086, -0.06781774014234543, -0.739434003829956, -0.07633500546216965, -0.6155839562416077, -2.0014946460723877, 0.6246669292449951, -0.1612085998058319, -0.6525157690048218, -0.4916207492351532, 0.13612739741802216, 0.37711453437805176, 0.7388796210289001, -0.49317002296447754, -0.6847792267799377, 0.0230636578053236, 0.13394393026828766, 1.0704320669174194, 0.5262900590896606, -0.3997716009616852, 0.41779041290283203, -0.01767103187739849, 0.2001527100801468, 0.4802091717720032, 0.16927693784236908, -1.9027891159057617, -0.47448477149009705, -0.15519744157791138, -1.291022539138794, 0.26231786608695984, -0.14026346802711487, -1.0005192756652832, 1.1291495561599731, 0.46896007657051086, 0.7648293972015381, 0.2482641339302063, -0.9920867085456848, -0.021309969946742058, 1.1875050067901611, -0.07209227979183197, -0.15050502121448517, 0.6640165448188782, -0.6506379246711731, 1.1692883968353271, -0.27718740701675415, 0.6149925589561462, -1.0770771503448486, -0.36442670226097107, 1.3023686408996582, -0.41212165355682373, 0.1701657623052597, -0.41941195726394653, 0.11785688251256943, -0.004207175690680742, 1.0720053911209106, -0.19858045876026154, -0.44446617364883423, -0.486533522605896, -0.2550583779811859, 0.7545698285102844, -0.25568515062332153, -1.2739923000335693, -0.24846139550209045, -0.5659657120704651, -0.6709994673728943, 0.4430501461029053, 0.3797360062599182, -0.4060736894607544, -0.5387553572654724, 0.5262677073478699, -1.0187208652496338, 0.10490346699953079, 0.1461843103170395, -0.14188075065612793, -0.7651785016059875, 0.24265393614768982, -0.5303410291671753, 0.7280226349830627, -1.1880232095718384, -0.6517851948738098, 0.03520677611231804, 0.7912662625312805, 1.4506266117095947, 0.3528785705566406, 0.3975025415420532, -0.16879704594612122, 0.3351544141769409, 1.1015503406524658, 0.5862093567848206, -0.03847583755850792, 0.05638011917471886, 0.5316137075424194, -0.4590335190296173, 0.45115795731544495, 0.4583599269390106, -0.5249429941177368, -0.003687493735924363, 0.42272448539733887, 0.666642963886261, -0.18656054139137268, 0.9853945970535278, 0.6102837324142456, 0.8336217403411865, -0.18998916447162628, 0.8547570705413818, 0.4856112003326416, 0.5602511763572693, 0.041963350027799606, 1.4259785413742065, -0.7586595416069031, 0.1689290851354599, 0.3274158537387848, 0.17505550384521484, -0.7979981899261475, -0.42086148262023926, -0.10838624089956284, 0.5523223876953125, 0.18737919628620148, -0.2570864260196686, -0.566210150718689, -1.0814876556396484, -0.42639291286468506, 0.9050944447517395, -0.31022754311561584, -0.55390465259552, -0.8458815813064575, -0.5401021242141724, -0.010064337402582169, -0.03365074098110199, -1.1021013259887695, 1.097610354423523, -0.5174810886383057, 0.4426438510417938, -0.6384069919586182, -0.8460888266563416, -0.08365613222122192, 1.13504159450531, 0.3426113426685333, -1.1055606603622437, 0.03057575784623623, 0.5090764164924622, 0.1619262844324112, 0.2055719494819641, -0.8312904834747314, -0.021446891129016876, -0.734845757484436, -0.6464146375656128, -0.13353510200977325, -0.1413791924715042, -0.13318994641304016, 0.8532623052597046, 0.11944925040006638, 0.7252762913703918, -0.10602522641420364, 0.24686336517333984, 0.42719483375549316, 0.18068048357963562, 0.12663504481315613, -0.9494356513023376, -0.4954192340373993, -0.36816486716270447, -0.057257700711488724, -0.2852165997028351, -0.061788421124219894, 0.09164460003376007, 0.8649819493293762, -0.23967799544334412, -0.4413658380508423, 0.21381878852844238, -0.2525322437286377, -0.4406130611896515, 0.104061558842659, -0.5352583527565002, 1.0049362182617188, -0.2666870653629303, 0.6764988899230957, -0.7006834745407104, 0.016690092161297798, 0.7227956652641296, -0.13495489954948425, 0.1377485990524292, -0.20699705183506012, 0.2988944351673126, -0.7425447106361389, 1.1702842712402344, -0.6976979970932007, -1.048047661781311, -0.16459794342517853, -0.8015838265419006, -0.5021069645881653, 0.8089072108268738, -2.224034070968628, 0.3875381350517273, 0.37312936782836914, -0.3145647346973419, 0.8283205628395081, -0.05645079165697098, 0.6902978420257568, 0.6958805322647095, -0.3436797559261322, -0.46362587809562683, -0.04794488102197647, -0.6408153176307678, -0.04117248207330704, -0.42789342999458313, -0.9257713556289673, 0.9085842967033386, -0.3431074321269989, 0.3782540261745453, 0.3824167251586914, 0.11016927659511566, -0.8781638741493225, -0.47145524621009827, 1.559882402420044, -0.7712556719779968, 0.14651378989219666, -0.6190040707588196, 0.04139077290892601, -1.3573482036590576, -0.4267174303531647, -0.7813414335250854, 0.48304006457328796, -0.17490547895431519, -0.22760803997516632, 1.0452287197113037, 0.09561631828546524, -0.5565026998519897, 0.3354555070400238, -0.20395024120807648, -0.2938777208328247, -0.4655107259750366, -0.2882661521434784, 0.5558990836143494, 0.4206952750682831, -0.08347519487142563, -0.0874066948890686, -0.7582936882972717, -0.16492418944835663, 0.8085962533950806, -0.02481658011674881, -0.896401584148407, 0.4474288821220398, -0.041822198778390884, 1.092276692390442, -0.8667848110198975, -0.8120097517967224, 0.6679694056510925, -0.11775099486112595, -0.2778182029724121, -0.012921429239213467, 0.32667630910873413, -0.2845088541507721, 0.5994387269020081, 0.8303453922271729, -0.4420839250087738, -1.054606556892395, -0.6791200041770935, -0.18482938408851624, -0.005888540297746658, 0.272506445646286, -0.7836582660675049, -0.30305683612823486, -1.1122692823410034, -0.2362583428621292, -0.41762232780456543, -0.5487521886825562, -0.0420612134039402, 1.0198780298233032, -0.27687063813209534, 0.24212893843650818, 0.059198107570409775, 0.5822304487228394, -1.7321715354919434, -0.14935968816280365, 1.1466559171676636, -0.7737634778022766, -0.1387530118227005, 0.1527712643146515, 0.9167044162750244, 0.12967804074287415, 1.6118589639663696, 0.1589297503232956, -0.16676616668701172, -0.5926377773284912, -0.6241192817687988, 0.4521571397781372, 0.07420802116394043, 0.329698383808136, -0.14241066575050354, -1.001166820526123, 0.564501941204071, 1.0848743915557861, -1.119805932044983, -0.037386905401945114, 0.2273898869752884, 0.4311847388744354, -0.4093465507030487, 0.5063609480857849, 0.7143139839172363, -0.24618308246135712, 0.23925739526748657, 0.6554092168807983, -0.6531310677528381, -0.4475637674331665, -0.13579687476158142, -0.6636918783187866, 0.9178139567375183, 0.26812639832496643, -0.8088622093200684, 0.5567432641983032, -1.3825539350509644, -0.16422542929649353, -1.233525276184082, -0.8627433776855469, -0.07795018702745438, 0.7115971446037292, 0.3988266587257385, 0.5561442971229553, 0.7303673624992371, -0.2216699719429016, 1.4682176113128662, -0.0905752032995224, -0.04831046238541603, -0.7584286332130432, -0.2918584644794464, -0.33177271485328674, -1.003668189048767, -0.6218704581260681, 2.47171950340271, -0.16814279556274414, -0.002097430406138301, -0.4029988944530487, 0.9486708045005798, -0.49260449409484863, 0.05918991193175316, -0.11840911954641342, 1.0564504861831665, -0.7962160110473633, -0.6231009364128113, -0.9798615574836731, -0.07338513433933258, -0.18499909341335297, 0.09244359284639359, 0.3971574008464813, 0.7796834111213684, -0.005917014088481665, -1.1071559190750122, -0.13345803320407867, 0.7600863575935364, 0.07632313668727875, -0.6178187727928162, 0.5749830007553101, -0.6553565263748169, -0.6619654893875122, -0.09747004508972168, -1.1074423789978027, 0.5075856447219849, 1.6146847009658813, 0.10602918267250061, -0.3392018675804138, -0.47937875986099243, 0.5719724893569946, 0.022075429558753967, -0.6827830076217651, 0.07499657571315765, -0.08964937180280685, -0.3701809346675873, 0.3278663456439972, -1.1149951219558716, 0.47865864634513855, -0.050509802997112274, -0.10827268660068512, 0.9126111268997192, 1.7320151329040527, -0.2145557850599289, -0.8439733982086182, 0.2625875473022461, -0.00958417821675539, 0.009083537384867668, 0.8155483603477478, -0.1159590557217598, -0.9587045311927795, 0.6910507082939148, -0.7212934494018555, -1.1077446937561035, -1.4450691938400269, -0.6459583044052124, -0.2524752914905548, -0.009002435952425003, -0.2670578360557556, -1.0851908922195435, -0.8142341375350952, -0.5909929871559143, -0.3880452811717987, 1.625459909439087, 0.6471267342567444, -0.7389423847198486, 0.16173332929611206, -0.10398127138614655, 0.4912722408771515, -0.35031217336654663, 1.3049664497375488, -1.1994181871414185, -2.0450496673583984, 1.1514798402786255, 0.08903831243515015, 0.6510247588157654, -0.37032437324523926, -0.18130958080291748, -0.21596203744411469, 1.2831168174743652, -2.919661521911621, 0.43828344345092773, -1.5841021537780762, -0.09792040288448334, 0.182858407497406, -1.011915922164917, -0.08675207942724228, -1.8357959985733032, -0.43959176540374756, -0.19572916626930237, 0.5343974828720093, -0.16858753561973572, 0.9663363099098206, -0.07102546840906143, 0.4966742992401123, 0.589989185333252, -0.5431662797927856, -0.12579111754894257, -1.1863553524017334, -1.0053119659423828, 0.4290246367454529, 0.6955912709236145, -1.2636072635650635, 1.3029814958572388, 0.01720115728676319, 0.27891066670417786, -1.1609910726547241, -0.13828440010547638, -0.15347270667552948, -0.6107034087181091, 0.5209763646125793, -0.050631456077098846, 1.3834336996078491, 1.010265588760376, 0.21765932440757751, 0.4756704866886139, -0.4863821864128113, 0.17973768711090088, -0.418206125497818, -0.5914778113365173, -0.25188204646110535, 0.6951462030410767, -0.650757908821106, 0.08502572029829025, 0.8224692940711975, 0.056954167783260345, 0.35946741700172424, -1.0393868684768677, 0.5506904721260071, 0.7477412819862366, 0.5894374847412109, -0.01837272197008133, 0.8167732954025269, -0.3021795451641083, -1.0698907375335693, 0.1519957184791565, 1.0812584161758423, 0.8915461301803589, 0.3089607357978821, -0.7535861134529114, 0.275084525346756, -0.035007208585739136, 0.1250697523355484, -0.3437677025794983, -0.49226176738739014, 0.3105448782444, -0.9937214255332947, 0.2077537178993225, -0.7077861428260803, -0.6428489089012146, 0.08593906462192535, 0.3037225306034088, -0.2023034244775772, 0.4321395456790924, -0.1724015474319458, -0.5010781288146973, -0.009416094981133938, 0.08582092076539993, -0.2982576787471771, -0.33614689111709595, -1.0962823629379272, -2.7305705547332764, 0.0501609668135643, -0.05430661141872406, 0.9868781566619873, 0.7943640947341919, 0.047897160053253174, -0.959307074546814, 0.41314077377319336, -0.8711373209953308, -0.15713854134082794, -0.3389906585216522, -0.46487870812416077, -2.6482107639312744, 0.6372461915016174, 0.7668911218643188, -0.803819477558136, -0.02579968050122261, 0.2911699116230011, -1.1215567588806152, -0.1810225546360016, -0.17535404860973358, -0.11713681370019913, 1.0987008810043335, 0.7500909566879272, 1.2671520709991455, -0.047794755548238754, 1.1245293617248535, 0.09369973838329315, -0.15300655364990234, -0.982133686542511, 0.8738290071487427, -0.02632485143840313, 0.6406241655349731, -0.9535109996795654, 0.31504693627357483, -0.0902327373623848, -0.10327716171741486, 0.15718883275985718, -0.36318838596343994, -0.3960988521575928, 0.5703312754631042, 0.23531778156757355, -0.06566910445690155, 0.3018072545528412, 0.02660636603832245, 0.28661003708839417, -1.78361177444458, -0.19379925727844238, 0.006434295326471329, -0.261039137840271, -1.223429560661316, -8.559486389160156, 0.5714600086212158, 0.6091618537902832, -1.293987512588501, 0.3292454183101654, 0.1819528043270111, -0.7251178026199341, -0.1019502654671669, 1.1321974992752075, -0.8957526683807373, 0.3622170686721802, 0.37296152114868164, -1.0192546844482422, -1.051299810409546, -0.28977927565574646, -0.27827662229537964, 0.4255558252334595, -0.21447406709194183, 0.9691755175590515, -0.044145241379737854, -0.9703558683395386, 0.7976702451705933, -0.41175511479377747, -0.739969789981842, 0.2538539171218872, -0.04761382192373276, 0.4848058521747589, -0.11386708915233612, -0.6654955148696899, 0.21185088157653809, 0.3511074185371399, -0.27618253231048584, 0.059697214514017105, -0.024976976215839386, 0.8473321795463562, 0.037218350917100906, 0.26570001244544983, 1.3542110919952393, 0.6455203294754028, -0.20826181769371033, 0.8044147491455078, 0.21953901648521423, 0.8705578446388245, -0.42148932814598083, 0.4842987358570099, 0.8752466440200806, -0.018811238929629326, -0.8376610279083252, -0.09183064103126526, 0.6289454102516174, 0.4717505872249603, -0.3779096007347107, 0.32690736651420593, 1.1441211700439453, -0.8421352505683899, -0.6013086438179016, -1.0232607126235962, -0.5372361540794373, -0.19708134233951569, -0.506862461566925, 0.4431985318660736, -0.7264371514320374, -0.6306487917900085, -0.4864349067211151, 0.7142128944396973, -0.13863098621368408, -1.4352506399154663, -0.7091703414916992, 0.6752786040306091, 0.4415466785430908, -0.27484315633773804, -1.681056261062622, 0.24632179737091064, -0.2266247421503067, 0.2600460350513458, -0.5792716145515442, 0.6927024126052856, 0.5658257603645325, 1.3519591093063354, -0.0009538757731206715, 0.6220048069953918, 0.8673650622367859, -0.3335280418395996, 1.4008052349090576, -1.1851530075073242, -0.18250446021556854, -0.2892431616783142, 0.4930279552936554, 1.2324405908584595, -0.58780837059021, 0.6944195032119751, -0.3072893023490906, -0.684476375579834, 0.14405444264411926, 0.990645706653595, 0.225415900349617, -1.3149508237838745, -0.06782012432813644, -0.5273746848106384, -0.6253069639205933, 0.5189940929412842, -0.6370790600776672, 1.1752934455871582, 0.721636950969696, -0.03398536518216133, -0.6121150851249695, -0.9947662353515625, 0.2726826071739197, 0.43286800384521484, 0.0032835756428539753, -0.16964136064052582, 0.9733404517173767, -0.5629733800888062, -0.623457670211792, -0.8264284729957581, 0.14245650172233582, -0.10231862962245941, 0.5991367697715759, -1.650382399559021, 0.4050810635089874, -0.5423845052719116, 0.40507495403289795, -1.1963374614715576, -0.15346062183380127, -0.39986154437065125, 0.632560670375824, 1.2822632789611816, -0.5126596689224243, 0.6147713661193848, 0.285148948431015, -0.13128361105918884, -1.13625967502594, -0.4650897681713104, -0.1539115011692047, -0.17751121520996094, 1.0199165344238281, -0.6448544859886169, 1.1635469198226929, 0.7015848755836487, -0.07197554409503937, -0.10103240609169006, 0.24736112356185913, -0.6046419739723206, 0.45298659801483154, 0.21052461862564087, -0.0776645764708519, -0.12510856986045837, -0.023465674370527267, -0.6587804555892944, -0.10060997307300568, 0.28090980648994446, -2.1983625888824463, 1.5213489532470703, 0.34590309858322144, -0.3852362334728241, 0.8195691704750061, -1.0863038301467896, -0.5044970512390137, 1.2777117490768433, 0.7029609084129333, 0.019930638372898102, -0.20639406144618988, -0.41688045859336853, 0.4227345883846283, -1.5848978757858276, 0.036745835095644, -0.15931591391563416, 1.0515183210372925, 2.056891918182373, 0.4672454595565796, 0.03693048655986786, -0.5531656742095947, -1.1222330331802368, -0.12043964862823486, -0.1451314389705658, -1.5731525421142578, 0.36423516273498535, 0.22990450263023376, 0.49240973591804504, -1.4277690649032593, -0.369875431060791, 1.8246413469314575, 0.37443241477012634, 0.4316040277481079, -0.7114647626876831, 0.6214549541473389, -0.4746090769767761, 0.8862300515174866, -0.3436763286590576, -0.9232318997383118, -0.11775069683790207, 0.7521618008613586, -0.5623443722724915, 0.3556060791015625, -0.026294894516468048, -0.3792748749256134, 0.03964398428797722, -0.296383798122406, 0.3402347266674042, -0.5247042179107666, 1.363351821899414, 2.5283594131469727, 0.10789847373962402, 0.29008033871650696, 0.5717073082923889, 0.9599446654319763, -0.19644126296043396, 0.002472758525982499, 2.0610873699188232, -1.4942195415496826, -0.15132145583629608, -0.45715847611427307 ]
180
0704.0182
Wolfgang Kuch
W. Kuch, F. Offi, L. I. Chelaru, J. Wang, K. Fukumoto, M. Kotsugi, J. Kirschner, J. Kunes
Huge magneto-crystalline anisotropy of x-ray linear dichroism observed on Co/FeMn bilayers
null
Phys. Rev. B 75, 224406 (2007)
10.1103/PhysRevB.75.224406
null
cond-mat.mtrl-sci
null
We present an x-ray spectromicroscopic investigation of single-crystalline magnetic FeMn/Co bilayers on Cu(001), using X-ray magnetic circular (XMCD) and linear (XMLD) dichroism at the Co and Fe L3 absorption edges in combination with photoelectron emission microscopy (PEEM). Using the magnetic coupling between the ferromagnetic Co layer and the antiferromagnetic FeMn layer we are able to produce magnetic domains with two different crystallographic orientations of the magnetic easy axis within the same sample at the same time. We find a huge difference in the XMLD contrast between the two types of magnetic domains, which we discuss in terms of intrinsic magneto-crystalline anisotropy of XMLD of the Co layer. We also demonstrate that due to the high sensitivity of the method, the small number of induced ferromagnetic Fe moments at the FeMn-Co interface is sufficient to obtain magnetic contrast from XMLD in a metallic system.
[ { "created": "Mon, 2 Apr 2007 12:49:07 GMT", "version": "v1" } ]
2007-06-13
[ [ "Kuch", "W.", "" ], [ "Offi", "F.", "" ], [ "Chelaru", "L. I.", "" ], [ "Wang", "J.", "" ], [ "Fukumoto", "K.", "" ], [ "Kotsugi", "M.", "" ], [ "Kirschner", "J.", "" ], [ "Kunes", "J.", "" ] ]
07
[ -0.4858226478099823, -0.42340266704559326, 0.9660607576370239, -1.0449588298797607, 0.8692966103553772, 0.07121182978153229, -0.8536103963851929, 0.10143375396728516, -1.2990275621414185, -0.10233896970748901, -0.7805991172790527, -0.1763395071029663, 0.8825859427452087, -1.2173243761062622, -0.23156896233558655, -0.4406886398792267, -0.9195008873939514, -0.1659824401140213, 0.7330098748207092, 1.2766183614730835, 0.5208175778388977, -0.3424065113067627, -0.7582802176475525, -1.0043400526046753, -0.2602098882198334, 0.7266266942024231, -1.160595178604126, -0.8132587671279907, -0.5848806500434875, -0.401389479637146, 0.8395699262619019, -0.1644590198993683, -1.1594797372817993, -0.5109424591064453, -0.6841639876365662, 0.17963527143001556, 0.6865327954292297, -1.614141821861267, -0.7065556645393372, -0.703706681728363, 1.1751658916473389, -0.9534066319465637, 1.0961071252822876, 0.36523064970970154, -0.7703567147254944, 1.5677002668380737, -0.6663767099380493, -0.22662608325481415, 0.5653988122940063, -0.4530233144760132, 0.9073534607887268, 0.1703239381313324, 0.2719603478908539, -0.15912383794784546, 1.238420844078064, 0.16199107468128204, -0.7661502957344055, 0.2828482389450073, 0.7397621273994446, -0.24314357340335846, -0.35113823413848877, 0.46857020258903503, -0.038771986961364746, 1.3246606588363647, 0.18502238392829895, -0.8918133974075317, 0.856551468372345, 1.1954375505447388, 0.2527141869068146, 0.6141430735588074, -0.8262431621551514, -0.5422877669334412, -0.6189362406730652, 0.11105752736330032, -0.906221866607666, 0.06454898416996002, -0.960212767124176, -0.8034535646438599, -1.3961732387542725, 1.0168753862380981, -0.7125186324119568, 0.7948866486549377, 0.6346527934074402, -0.8127791285514832, 0.5162489414215088, -0.09630953520536423, 1.4113682508468628, 0.7521325349807739, -0.19087080657482147, -0.5306544303894043, -1.0911000967025757, -0.42035654187202454, 0.7068010568618774, -0.5107415914535522, -0.25832298398017883, -0.32060402631759644, -0.1251002550125122, -0.7302890419960022, 0.029174672439694405, 1.4977697134017944, -0.14588600397109985, 0.8748453855514526, -0.7553952932357788, -0.23905974626541138, -0.5667436718940735, -0.3058584928512573, 0.0905812606215477, -0.9010670781135559, 0.17876939475536346, 0.343483030796051, -0.45915791392326355, 0.8396835923194885, 0.08757434785366058, 1.7253509759902954, -0.9375947117805481, 0.559599757194519, -0.7121267914772034, -0.4771158695220947, -0.05867603048682213, -0.8275570869445801, -0.7473929524421692, -0.22117571532726288, -0.2503221035003662, -0.9871899485588074, 0.7891875505447388, 1.3792855739593506, -0.49799537658691406, -0.8304916024208069, 0.45904242992401123, 0.5043863654136658, -1.0016813278198242, -0.5915238261222839, 0.817829966545105, -0.5073184967041016, -0.2384091019630432, 0.22544743120670319, 0.12542611360549927, 0.5699746012687683, 0.393393337726593, -0.7930200099945068, 0.022023269906640053, -0.02888818271458149, -0.7701406478881836, -0.532599925994873, -0.4648934602737427, 0.04479984939098358, -0.8801477551460266, 0.5124539136886597, 0.4253842532634735, 0.5080195665359497, 0.5506289601325989, -0.7088499665260315, 1.0233781337738037, 1.8033781051635742, 0.07699817419052124, -0.17924673855304718, -0.048819974064826965, 0.36634352803230286, -0.03344185650348663, 1.042183518409729, 0.38206747174263, 1.4778974056243896, -0.2356608808040619, -1.6873098611831665, 0.44232377409935, 0.4366987943649292, -0.27364301681518555, 0.6401162147521973, 0.3798193633556366, 1.5298751592636108, 0.6233285665512085, -0.22239011526107788, -0.40524744987487793, -0.5445828437805176, 1.1079574823379517, -0.6082558631896973, -0.631639301776886, -0.4570167660713196, 0.4197564423084259, 0.23825620114803314, -0.5559378862380981, -0.1350078284740448, -0.8727763891220093, -0.9554687738418579, -0.1050691306591034, -0.2623070180416107, -0.027312148362398148, -0.40693989396095276, 0.29826319217681885, -1.890427827835083, -0.6835795044898987, 0.2571394145488739, 0.10443805903196335, -0.5947884321212769, 0.3474845886230469, 1.8187556266784668, 0.29657167196273804, 2.753387689590454, -0.4703793525695801, -0.6602344512939453, -0.6136698722839355, 0.5093682408332825, -0.1725289523601532, -0.20261171460151672, -1.9168381690979004, 0.4884986877441406, 0.4087924361228943, 1.1160414218902588, 1.5412813425064087, 0.011353805661201477, -0.3817211091518402, 1.0700916051864624, 0.1755853295326233, -0.2208380550146103, -0.04552610218524933, -1.4535679817199707, -0.711764395236969, -0.036566875874996185, -0.36932793259620667, -0.724673867225647, -0.5808049440383911, 1.296288251876831, 0.600720226764679, 0.09373641014099121, 0.48925378918647766, 0.17033696174621582, -0.3251216411590576, 0.8997920751571655, 0.3797254264354706, -1.922372579574585, -0.20684543251991272, -0.06314394623041153, -0.1833513230085373, -0.7191534638404846, 0.606933057308197, -0.42795154452323914, -0.9530913829803467, -0.5783352255821228, -0.8531091213226318, -1.3100844621658325, -0.44286683201789856, 0.6764090061187744, 0.22295381128787994, 0.9107521772384644, -0.3723422884941101, -0.10215964168310165, 0.38670650124549866, 0.1008562445640564, 0.9773937463760376, 0.19978880882263184, -0.5287104249000549, 0.6341312527656555, 0.2541320025920868, -1.6854015588760376, -1.1786295175552368, 0.35738450288772583, 0.9333809614181519, -1.6663333177566528, -0.5660118460655212, -0.7109332084655762, 0.8934301733970642, -0.7312865853309631, -0.5049467086791992, 0.10281725972890854, -0.2511858344078064, 0.7259003520011902, -0.6290568709373474, 0.05084943026304245, -1.7991880178451538, 1.4059598445892334, 0.2641814351081848, -0.12408444285392761, -0.4188653826713562, 0.4582173824310303, 0.6748940944671631, -1.1405173540115356, 0.47575947642326355, 0.25199660658836365, 0.44633591175079346, -0.0012889285571873188, 0.605421781539917, -1.1363366842269897, 0.9693914651870728, -0.31346580386161804, -0.6707308888435364, -0.2080753743648529, 0.2258782982826233, -0.33241063356399536, 0.9018936157226562, -0.36079585552215576, -0.14676566421985626, 0.8242760300636292, -0.12322237342596054, -1.6188167333602905, -0.6006299257278442, -1.187873125076294, -0.7912624478340149, -1.3478797674179077, 0.18381795287132263, 0.2409287691116333, 1.637741208076477, 0.41958385705947876, -0.07589846849441528, 0.7887338995933533, 0.5825707912445068, -1.1263071298599243, 0.43433520197868347, 0.3205506205558777, -0.019297264516353607, 0.13614177703857422, -0.6926401257514954, 0.5692043304443359, 0.6756803393363953, 0.14904585480690002, 1.585648775100708, 0.35542458295822144, 0.03152773156762123, -0.6722425222396851, -0.7593204975128174, -0.45221227407455444, -0.40437114238739014, -0.11727391183376312, -1.0903009176254272, -0.2972433865070343, -0.3445347845554352, 0.29430055618286133, 0.5196746587753296, -0.4309352934360504, 1.31521737575531, 0.6565080285072327, 0.5950197577476501, -0.562610387802124, 0.0013792403042316437, 0.9504220485687256, 0.9931071400642395, 0.4806511402130127, 0.028733273968100548, -0.28981202840805054, 0.5071829557418823, -1.10690438747406, 0.7463052868843079, 1.8854626417160034, 0.05063243955373764, -0.024507343769073486, -0.1846916228532791, -0.12277713418006897, -0.9878506064414978, 0.9135351777076721, 0.3373720645904541, -0.28306958079338074, 0.4920078217983246, 0.24554598331451416, 0.7202354073524475, 0.28842151165008545, -0.04485621675848961, 0.14309944212436676, 0.03183942288160324, 0.7982513308525085, -0.39343568682670593, 0.6292738318443298, 0.0970454290509224, -1.3086167573928833, 0.7188626527786255, -1.0218693017959595, -0.2025674283504486, -0.10178304463624954, 0.5838848352432251, 1.2780686616897583, -0.173122838139534, -0.3186325132846832, 0.11188836395740509, 0.3104839324951172, 0.22960859537124634, 0.24273565411567688, -0.39931055903434753, 0.1016383245587349, -0.36997854709625244, 1.2441620826721191, -0.5751636028289795, -0.2159825712442398, 0.17624691128730774, -0.6290116906166077, 1.7534780502319336, 0.972917377948761, -0.2683801054954529, 1.072771668434143, -0.7015466690063477, -0.4361267387866974, -1.1880755424499512, -0.34796619415283203, -0.826067328453064, 0.37669581174850464, 0.4242137372493744, -0.276775598526001, 1.1980996131896973, -0.5368281006813049, -0.6973258256912231, 0.8522366285324097, -0.025752723217010498, -0.22644394636154175, -1.009954810142517, 0.5242665410041809, -0.48747044801712036, 0.5650840401649475, -0.8951038718223572, 0.8317911624908447, 0.6850462555885315, -1.1214250326156616, -0.9015711545944214, -1.4886858463287354, -1.4787064790725708, -1.2906875610351562, 0.059840377420186996, -0.9585307240486145, -0.20867370069026947, -0.10583802312612534, -0.15788665413856506, -0.2171081006526947, -2.1419789791107178, 0.9574569463729858, -0.1723705679178238, -0.3756658732891083, -0.19937509298324585, 0.6312863230705261, 0.8866122364997864, -0.33502262830734253, 0.31683558225631714, 0.17667268216609955, 1.0491923093795776, 0.1806824952363968, 1.1328599452972412, -0.9306339025497437, -1.0793920755386353, -0.6059359908103943, -0.5149422287940979, -0.48744264245033264, -0.003960263915359974, -0.34653007984161377, 0.7772085070610046, 0.004285797942429781, -0.15098139643669128, -0.8741636276245117, -0.9616225361824036, -0.3860115706920624, 0.08040428906679153, -0.7999027967453003, -1.3203402757644653, 1.0744774341583252, -1.0514973402023315, -0.4866735637187958, -0.9987712502479553, -0.4988056719303131, -1.0765427350997925, 0.6518293023109436, 0.2765425741672516, 0.6941346526145935, -0.6439583897590637, 0.7299535274505615, -0.06769875437021255, -0.5518823862075806, 0.17543314397335052, -0.05636746436357498, -1.4840925931930542, -0.6316608190536499, 0.35773593187332153, 0.667278528213501, 0.04602872207760811, -0.035622384399175644, 0.7775590419769287, -0.677352249622345, 0.8675116896629333, 0.34087806940078735, 0.6274318695068359, 0.4709414839744568, -0.2690279185771942, -0.8379514813423157, 0.1500498503446579, 1.739761471748352, 0.6099398732185364, 0.5248226523399353, 0.35047271847724915, -0.909637987613678, 0.2848300039768219, 0.2922634780406952, -0.3596743941307068, -0.5348427891731262, -0.8368763327598572, 1.3098944425582886, 0.36349785327911377, 1.3747467994689941, 0.16593727469444275, -0.18559372425079346, -1.0928370952606201, -0.2618647515773773, -0.44615960121154785, 0.4101960361003876, -0.23336921632289886, -1.227471947669983, 0.2802390158176422, -0.6302226781845093, 0.06341482698917389, 0.04508107528090477, 1.041030764579773, 0.015704955905675888, -0.13119518756866455, -0.6608380675315857, 0.06126343086361885, 0.2059125155210495, -1.3463114500045776, 0.40354350209236145, 0.4206817150115967, 0.3702259957790375, 0.25289252400398254, 1.357511281967163, 0.20491786301136017, -1.0604885816574097, -0.9256725311279297, -2.9948413372039795, -0.26874908804893494, 0.8070688843727112, -0.48564818501472473, -0.24445302784442902, -0.5440050959587097, -0.5463293194770813, -0.2893080413341522, -0.30510181188583374, -1.0790899991989136, 0.9358564615249634, 0.7488694787025452, -0.6818217039108276, -0.2692128121852875, 0.42237499356269836, 1.5291616916656494, -1.7924203872680664, 1.125746488571167, 0.8437788486480713, 0.677609920501709, -0.03405775874853134, -0.18548336625099182, 0.8663720488548279, -0.6092482209205627, 0.04734233021736145, -0.7755592465400696, 0.867527961730957, -0.22510235011577606, 0.5986924171447754, -0.318848580121994, -0.04158175364136696, -0.10848633199930191, 0.7124180793762207, 0.22932131588459015, -0.8198381066322327, 0.3274608552455902, 0.22299988567829132, -1.6293545961380005, 0.2793428599834442, -6.330526351928711, -0.5368368029594421, 0.37463656067848206, -0.8974395990371704, 0.5317652821540833, 0.09319870918989182, 0.30317163467407227, -0.5418164134025574, -0.3709700405597687, 0.9204528331756592, 0.886345386505127, -0.13106729090213776, 0.21648100018501282, 0.4770835340023041, 0.5100112557411194, 0.6412259340286255, 0.14449898898601532, 1.7040176391601562, 0.950788140296936, -0.9799033403396606, 0.3288630545139313, -1.2037352323532104, -0.4364067614078522, 0.3789770305156708, -0.7518771886825562, -0.19432012736797333, -0.4764709174633026, 0.14196592569351196, -0.6618593335151672, -0.5319684743881226, -0.4036959707736969, -1.0432299375534058, -0.5505061149597168, -0.39386457204818726, 0.20424599945545197, -0.9320748448371887, -0.1729186326265335, 1.1787161827087402, -0.4535692632198334, -0.3863163888454437, 1.634251594543457, 0.8526471257209778, 0.1302250474691391, -1.5305697917938232, -1.1708707809448242, -0.9872078895568848, -0.8165462017059326, 0.09792542457580566, 0.5008639097213745, -0.012848484329879284, 0.39698830246925354, 1.0806684494018555, 0.0772809237241745, 0.18185581266880035, -1.407460331916809, -0.677676796913147, -0.8558741807937622, 0.2458282709121704, -1.8598840236663818, -0.30277344584465027, -0.5568020343780518, 0.5759345889091492, -0.01456930860877037, 0.11843658238649368, 0.6684086918830872, 1.3317512273788452, -0.11713613569736481, 0.4320528507232666, 0.233969584107399, 0.07651372253894806, -0.6133954524993896, -0.16564664244651794, 0.40735936164855957, -0.4178488552570343, -0.43006423115730286, 0.14197270572185516, 0.7393602728843689, 0.6952646970748901, -0.15223291516304016, 1.2647625207901, 0.08190595358610153, -0.27841460704803467, -0.2642533481121063, -0.5233876705169678, -1.2300971746444702, 0.7373718023300171, -0.2822950780391693, 0.44494307041168213, 0.31886231899261475, -0.8774242401123047, 0.7609228491783142, 1.6997361183166504, 0.07013722509145737, 0.32699453830718994, -0.10734138637781143, -0.674677848815918, 0.8913725018501282, -0.6351202130317688, -0.481937050819397, 1.01558256149292, -0.44903936982154846, -0.6656395196914673, -0.059004709124565125, 0.3526902198791504, -1.4375773668289185, -0.09139547497034073, 0.28907570242881775, -0.7715420126914978, 0.49586790800094604, 0.38654625415802, 1.234342098236084, 0.6558613181114197, -0.5029259324073792, 0.7296469807624817, 1.00673246383667, 0.29809635877609253, -1.221637487411499, 0.7709715366363525, 0.0975101962685585, 0.35488173365592957, -0.14421652257442474, 0.16004733741283417, 0.5990695357322693, -0.4808027446269989, -0.20191559195518494, -0.03361383080482483, 0.5878123044967651, 0.21095018088817596, -0.23071469366550446, 0.1964969038963318, 1.1531543731689453, -0.052863959223032, 0.3198200464248657, -1.3697760105133057, -0.35246068239212036, 0.18849588930606842, -0.08000568300485611, -2.3834376335144043, 1.1080108880996704, -1.6507339477539062, 1.133234977722168, 0.3844529688358307, -0.8320264220237732, -0.14873456954956055, -0.14887495338916779, -0.59978848695755, -1.153076410293579, -0.10624267160892487, -1.2427575588226318, -0.7272213101387024, -0.3249664604663849, -1.47355055809021, -0.05092550441622734, 1.18077552318573, 1.2382885217666626, 0.590846836566925, -0.5621933341026306, -0.05093195661902428, -0.37852898240089417, -0.12932224571704865, 0.8661006093025208, 0.2520361542701721, 0.31363770365715027, -1.0560272932052612, -0.22129203379154205, -1.4724518060684204, -0.2898416519165039, -0.16200654208660126, -0.6038563847541809, -0.5421439409255981, 0.7095396518707275, -0.9417186379432678, -0.5739126205444336, -0.892756462097168, -0.5147057175636292, -0.5745255351066589, -0.15066853165626526, 0.7460737228393555, -0.005159006454050541, -0.33513742685317993, 0.006089851260185242, -1.156543493270874, -0.3028760552406311, -0.23991374671459198, 0.8113608956336975, 0.6675224304199219, 1.372793197631836, -1.9706997871398926, 0.2281462550163269, 0.3127100467681885, 0.20105977356433868, -0.3967123031616211, 0.9859578609466553, 0.3194441795349121, -0.5429285168647766, 1.2173545360565186, -0.25950369238853455, -0.1330944448709488, 0.08754100650548935, 1.062801480293274, -0.6864965558052063, 2.4949371814727783, -0.03289235010743141, 0.010532203130424023, 0.23719839751720428, 0.15412239730358124, -0.27452167868614197, -0.20701998472213745, -0.7363787293434143, -0.22110316157341003, 0.5895595550537109, -0.709509015083313 ]
181
0704.0183
Tekin Dereli
G. Dereli and B. Sungu (Yildiz Tech. Univ., Istanbul)
Temperature Dependence of the Tensile Properties of Single Walled Carbon Nanotubes: O(N) Tight Binding MD Simulation
null
null
10.1103/PhysRevB.75.184104
null
cond-mat.mtrl-sci
null
This paper examines the effect of temperature on the structural stability and mechanical properties of 20 layered (10,10) single walled carbon nanotubes (SWCNTs) under tensile loading using an O(N) tight binding molecular dynamics (TBMD) simulation method. We observed that (10,10) tube can sustain its structural stability for the strain values of 0.23 in elongation and 0.06 in compression at 300K. Bond breaking strain value decreases with increasing temperature under streching but not under compression. The elastic limit, Young's modulus, tensile strength and Poisson ratio are calculated as 0.10, 0.395 TPa, 83.23 GPa, 0.285, respectively, at 300K. In the temperature range from 300K to 900K; Young's modulus and the tensile strengths are decreasing with increasing temperature while the Poisson ratio is increasing. At higher temperatures, Young's modulus starts to increase while the Poisson ratio and tensile strength decrease. In the temperature range from 1200K to 1800K, the SWCNT is already deformed and softened. Applying strain on these deformed and softened SWCNTs do not follow the same pattern as in the temperature range of 300K to 900K.
[ { "created": "Mon, 2 Apr 2007 13:12:48 GMT", "version": "v1" } ]
2009-11-13
[ [ "Dereli", "G.", "", "Yildiz Tech. Univ., Istanbul" ], [ "Sungu", "B.", "", "Yildiz Tech. Univ., Istanbul" ] ]
07
[ -0.1954338401556015, -0.47972699999809265, -0.8392520546913147, -0.4646095633506775, -0.3880705237388611, 0.07122928649187088, 0.461006760597229, 0.6667749285697937, 0.7034385800361633, 0.9641066193580627, -0.029454058036208153, -0.3885902464389801, -0.09273671358823776, 0.10501480102539062, -0.07812114804983139, -0.6865897178649902, -0.37042513489723206, -0.2445143163204193, -0.5857576131820679, 0.46712908148765564, -0.24806080758571625, 0.18499495089054108, 0.10911618918180466, -0.20434117317199707, 0.539475679397583, -0.7559167146682739, -2.1640467643737793, 0.7948853969573975, 1.489694356918335, -0.09777424484491348, 0.6906182765960693, -0.5562788248062134, 0.28064069151878357, 0.5912621021270752, -1.3235002756118774, -0.118255116045475, -0.668803334236145, -0.48890408873558044, -0.490370512008667, -0.8542048931121826, -0.5312274098396301, -0.7869835495948792, -0.7961927056312561, 0.17315271496772766, -0.8068760633468628, -1.025302529335022, -0.9333433508872986, -0.3363424837589264, -0.9733483195304871, -0.7034209370613098, -0.05138934776186943, 0.2098838835954666, 0.5105361342430115, -1.0302156209945679, 0.5932813286781311, 1.087900996208191, -0.4327029585838318, 0.6725441217422485, -0.4492607116699219, -1.247578740119934, 0.5202816128730774, 2.475883722305298, -0.19633127748966217, 0.967823326587677, 0.4142006039619446, -0.024715591222047806, 0.37375587224960327, -0.13297048211097717, -1.0211104154586792, -0.18161265552043915, -0.6797268390655518, 0.05643744766712189, -0.710533857345581, -0.09314220398664474, -0.1739928275346756, -0.8701338768005371, -0.57856684923172, -0.3781489133834839, -0.15030235052108765, -1.2529271841049194, -0.9833004474639893, 0.35368865728378296, -0.09287935495376587, -0.42359164357185364, 0.7736724615097046, 0.2438708394765854, 0.5270269513130188, 0.08683469891548157, -0.2887552082538605, -0.7200190424919128, -0.9495037198066711, -1.7048380374908447, 0.14090099930763245, 0.4131946265697479, -0.06091726943850517, -0.45232605934143066, -0.20006459951400757, -0.2097838819026947, 0.6289166808128357, 0.6070600748062134, 0.058746084570884705, -1.0461300611495972, 0.04778231307864189, 0.6240376234054565, 0.1817796379327774, -0.03135489299893379, 0.2730598449707031, -1.1927680969238281, -1.1108206510543823, -0.07791024446487427, -0.0588640458881855, -0.18671360611915588, 0.1666589081287384, -0.9003782272338867, 0.25007760524749756, 0.88138347864151, -0.11392951756715775, -0.40909942984580994, -1.8883477449417114, 0.19151617586612701, 0.19667984545230865, 0.45024996995925903, 1.5179635286331177, -0.2417020946741104, 0.512844979763031, 0.6920505166053772, -0.6617060303688049, -0.17336653172969818, 1.177044153213501, -0.39630576968193054, -0.5467957854270935, -1.470229983329773, 0.3680550754070282, 0.36741650104522705, -0.482999712228775, 0.05124324560165405, 0.6563071012496948, 0.5856226682662964, -0.15266746282577515, -0.9422575831413269, -0.9112808108329773, 0.3177888095378876, 0.09967892616987228, 0.35555922985076904, -1.2255100011825562, -1.0177898406982422, -0.40190353989601135, 0.311870813369751, -0.2221253514289856, -0.7835022211074829, -1.0244026184082031, -1.1835473775863647, 0.14342321455478668, -0.1088537648320198, 0.9107478260993958, -0.7474215030670166, 1.1284770965576172, 0.059369880706071854, -2.112156629562378, 1.5602508783340454, -0.11449205130338669, 0.24197342991828918, -0.30292558670043945, -1.1633931398391724, 0.11644376069307327, 0.5084814429283142, 0.07502946257591248, -0.5558143854141235, 0.07926813513040543, 0.6585664749145508, -0.061415016651153564, -0.7619454860687256, 0.49908047914505005, -0.31934332847595215, 1.045630931854248, 0.38835620880126953, 0.2036682665348053, 0.6272772550582886, 0.26454827189445496, 0.881292462348938, -1.625849962234497, -0.7682168483734131, -0.6634619832038879, -0.034718193113803864, 0.5288623571395874, -0.26299574971199036, 0.696246325969696, 0.5777761936187744, -0.23145602643489838, -0.0036806121934205294, -0.6201519966125488, -0.1299067884683609, -0.08396885544061661, 0.7055959701538086, 0.270764023065567, 0.03582166135311127, -0.07265813648700714, 0.22416341304779053, -1.3878597021102905, 0.06250011175870895, 0.39623314142227173, -0.15868237614631653, -0.7538291811943054, -0.45396608114242554, -0.49766382575035095, 0.368084579706192, 0.44502487778663635, -0.08007106930017471, 0.38763901591300964, -0.4936968684196472, 0.4619434177875519, -0.19317027926445007, -0.17454545199871063, -0.11373895406723022, -0.23853681981563568, 0.46878567337989807, 0.5711512565612793, -0.5495920777320862, 0.37082013487815857, 0.008682495914399624, -0.1901414692401886, 0.6052184104919434, 0.8113763332366943, -0.08314552158117294, -0.1722998470067978, -1.0482569932937622, -0.4765162765979767, -0.7298173904418945, -0.5217139720916748, 0.09663525223731995, -0.3833768963813782, -0.1460266411304474, 0.4969463348388672, -0.30723726749420166, 0.16261987388134003, 1.9689704179763794, 0.03630486875772476, -0.06800387799739838, 0.464259535074234, -0.7438411116600037, -0.2935835123062134, -0.16276538372039795, 0.6103630661964417, -0.47862961888313293, -0.5345335602760315, -0.4725445508956909, 0.7767283916473389, 1.6588466167449951, 1.176701307296753, -0.05964916944503784, -0.5993056893348694, 0.265960693359375, -0.4057348370552063, -0.9913923144340515, -0.8426147699356079, 1.0884754657745361, 0.26937732100486755, 0.44352903962135315, -0.5828666687011719, 0.9701957106590271, 0.41145142912864685, 0.5723249316215515, 0.5628252029418945, 0.588337242603302, -1.183449387550354, 1.7987266778945923, 0.06872575730085373, -0.367759644985199, -0.4289482533931732, -1.0219899415969849, 0.406600683927536, -0.9259949326515198, -1.2027244567871094, 0.3744422495365143, 1.0275629758834839, 0.2197343111038208, -1.4196072816848755, -0.6381109356880188, -0.2502113878726959, -0.25143128633499146, 0.4350808262825012, -1.2690337896347046, 0.05196197330951691, -0.3056033253669739, 0.62028568983078, -0.2806476950645447, 0.1344384104013443, -0.029199445620179176, -0.8164403438568115, -1.0857123136520386, 1.6762394905090332, 0.08911072462797165, -1.3940283060073853, 0.7543116211891174, -0.3498227596282959, 1.768466830253601, 0.15273918211460114, 0.11670820415019989, 0.2599477171897888, -0.34539884328842163, -0.510353684425354, 0.5445684194564819, 0.1540035605430603, -0.9553483724594116, 1.0126564502716064, -1.040588617324829, 0.18624112010002136, 1.0412636995315552, -0.6913801431655884, 0.11015749722719193, 0.26098906993865967, -0.1610639989376068, -0.27544841170310974, -0.2548326253890991, 1.7677147388458252, 0.7155957221984863, 0.9381006956100464, 0.5810917615890503, -0.19360467791557312, -0.9489488005638123, 0.9692431092262268, -0.2506118714809418, 0.22120065987110138, 0.17883652448654175, -1.2380648851394653, 0.17513978481292725, -0.33479782938957214, -0.07561434060335159, 1.0782291889190674, 0.7670034170150757, -0.29120174050331116, 0.8572927117347717, -0.4855367839336395, 0.24635817110538483, 1.1095057725906372, -0.9046270847320557, 0.5618162155151367, -0.25883620977401733, 0.5345422029495239, -0.6590699553489685, 0.4669766128063202, 1.1357028484344482, 0.11443904042243958, -0.7603316307067871, 0.6005340218544006, 0.31769219040870667, -0.9281743168830872, 0.7098951935768127, -0.33881285786628723, -0.29913005232810974, -0.4638321101665497, -1.1046029329299927, 1.02901029586792, 0.017696399241685867, 0.362543523311615, -0.6464886665344238, 0.297900527715683, -0.6554967761039734, -0.008556334301829338, 0.4900509715080261, 0.33028748631477356, -0.34121134877204895, -0.3150371015071869, -0.18968750536441803, 0.5068763494491577, -0.47637805342674255, 0.3046477735042572, 0.30174949765205383, -0.42144522070884705, -0.45019954442977905, -0.31786808371543884, 0.25967729091644287, 0.5867564678192139, 0.6668484210968018, -0.7526479959487915, 0.40008020401000977, -1.4459186792373657, 0.20720040798187256, -0.5388917326927185, -1.0365163087844849, 0.8580094575881958, -0.5745900869369507, 0.9893445372581482, 0.20010559260845184, -0.6829842925071716, -0.663896381855011, -0.38662660121917725, 1.3823176622390747, 0.08769076317548752, 0.6148698329925537, -0.8618171811103821, -0.6306460499763489, -0.07985136657953262, -1.0460376739501953, -0.5018985271453857, 0.10681768506765366, 0.6636735200881958, 0.020323440432548523, -0.16965945065021515, 0.46530935168266296, -0.5968544483184814, -0.5007285475730896, -0.545057475566864, -0.6842345595359802, -1.6734364032745361, 0.10560894757509232, 0.8643925189971924, 0.3946942687034607, -0.6519824862480164, 1.2919886112213135, -2.565478563308716, 0.3690362870693207, -0.3250410258769989, -1.8103867769241333, 0.5249063372612, -0.3247372508049011, 1.0306010246276855, 1.6111023426055908, 1.1869313716888428, -0.09943030774593353, -0.4695151448249817, 0.1361483484506607, -0.14665168523788452, 0.6875841021537781, 0.9389553070068359, 0.6255198121070862, 0.1194634735584259, 0.3212257921695709, 0.36500799655914307, -0.4295409619808197, 0.8560768365859985, 0.8351856470108032, -0.37219420075416565, 1.7889626026153564, 0.21932852268218994, -1.5939280986785889, -0.18215781450271606, -0.5722578167915344, -0.09392819553613663, 0.27776044607162476, -1.2087880373001099, 0.952512264251709, -0.5384168028831482, -0.4138546884059906, 0.12832625210285187, 0.8465171456336975, -0.1646912842988968, 0.9881848096847534, -0.3583570420742035, 1.0438586473464966, -0.7500489950180054, 0.7241496443748474, -0.5017470121383667, 0.4399184584617615, 0.13667438924312592, -0.7442053556442261, -0.2783346176147461, 1.8633805513381958, 0.11265058815479279, -0.35583022236824036, -0.9857833981513977, -0.9106395840644836, -0.3103768825531006, -0.09638343751430511, 0.8868610262870789, -0.32919642329216003, 0.6839487552642822, 0.9228988289833069, -0.609392523765564, 0.2232721745967865, 0.5720394253730774, -1.0523076057434082, 0.2119089663028717, 1.9198048114776611, -0.24708212912082672, 0.835197925567627, -0.9152001738548279, 1.0789176225662231, -0.3787441849708557, 1.1757140159606934, -0.3910851776599884, 0.9939870834350586, -0.6982374787330627, -0.9200141429901123, -0.2662927210330963, 1.0470452308654785, -1.230516791343689, -0.2974117398262024, -0.49318841099739075, 1.6192463636398315, -0.38886359333992004, 0.3156977593898773, 0.4023652672767639, -1.0433189868927002, 0.9114857912063599, 0.5289964079856873, -0.21773646771907806, -0.0017676979769021273, 0.7168486714363098, 0.3043096661567688, 0.5499311685562134, -1.1256433725357056, -0.5042120218276978, 1.7444337606430054, -0.8361276984214783, -0.34904688596725464, 0.042409028857946396, -0.4840659201145172, 0.630939781665802, 0.8047332763671875, 0.696944534778595, -0.34714555740356445, 0.0787467360496521, -0.5571311116218567, -0.29223567247390747, -0.41235822439193726, 0.10883763432502747, -2.864922285079956, -0.004689561203122139, 0.09872245788574219, -0.5024239420890808, 0.5323472619056702, 0.2849724292755127, 0.21111159026622772, 0.3107830882072449, 0.11942220479249954, -0.15944725275039673, -0.02536676824092865, -0.9181554317474365, 0.19074195623397827, 0.1853594183921814, -0.40509527921676636, 0.6479479074478149, 0.15330231189727783, 0.0793398916721344, -0.13094602525234222, 0.3398735225200653, -0.012750438414514065, -0.6929341554641724, 0.9342582821846008, -1.13740873336792, 0.7854437828063965, -0.8628522753715515, -1.3596049547195435, -1.217713475227356, -0.3717406988143921, 0.15915276110172272, 0.09655171632766724, 0.7148628234863281, -0.6403984427452087, 0.5132248401641846, -1.2033358812332153, -1.4108161926269531, -1.2184504270553589, -0.23917140066623688, 0.07518738508224487, -7.547550201416016, -0.4235435724258423, 0.09142838418483734, -0.5940821170806885, -0.2311328947544098, -0.4824663996696472, -0.3782804310321808, 0.3344482481479645, 0.19371776282787323, 0.6042851209640503, 0.7381799221038818, -0.8269841074943542, 0.49425452947616577, -0.6575136184692383, 0.40965360403060913, -0.5484729409217834, 1.4347801208496094, 0.02025790885090828, -0.44714513421058655, -0.5486376285552979, 0.8781763315200806, -1.933901309967041, 0.40796637535095215, 0.5268957614898682, 0.14749987423419952, 0.04693201556801796, 0.46958276629447937, -0.4979301393032074, -1.7103734016418457, -0.8395946621894836, -0.5645684003829956, 0.8416223526000977, 0.7542120218276978, -1.1768077611923218, 1.0308947563171387, -1.2955964803695679, 0.3849257528781891, 1.4859825372695923, 0.2655842900276184, -0.8189825415611267, 0.8058850169181824, 0.05255613476037979, 0.06869809329509735, -0.8762725591659546, -0.46363651752471924, -1.0972083806991577, -0.45464497804641724, -0.6781661510467529, 1.41824471950531, -0.37764930725097656, 0.6268656253814697, -0.15063010156154633, 0.6553848385810852, 1.177380084991455, -1.3356459140777588, -0.37887272238731384, -0.06115990877151489, 0.1247372031211853, 0.8129610419273376, -0.43725135922431946, -0.9206432104110718, 0.9250720739364624, 0.24110490083694458, 0.884646475315094, 0.5562954545021057, 0.3981781005859375, -0.21117939054965973, -0.6040103435516357, -0.009725064970552921, 0.719568133354187, -0.6356734037399292, -0.37369227409362793, 0.18090039491653442, 0.41229748725891113, -0.909252405166626, -0.1394607275724411, -0.5321272611618042, -0.4273340404033661, 1.0074325799942017, -0.29070305824279785, 1.5223915576934814, 0.23950201272964478, -0.052863962948322296, 0.26817217469215393, -0.7911576628684998, -0.7623305916786194, -0.09747900813817978, -0.10171166807413101, 0.8482881188392639, 1.2724946737289429, -0.4326685070991516, 0.2917241156101227, 0.4515560269355774, 0.014193253591656685, 0.6790465712547302, -0.289396733045578, -1.9420255422592163, -2.4295032024383545, 0.7910710573196411, -0.2621691823005676, 0.9076386094093323, -0.7971673607826233, 0.777317464351654, 0.7950047254562378, 0.3979315161705017, 1.1751819849014282, -0.1656552106142044, 0.3102557361125946, 1.2029176950454712, -1.5283678770065308, 0.49657881259918213, 0.8168577551841736, -0.6572533249855042, 0.683386504650116, -0.11011291295289993, -0.17163154482841492, -0.7134290337562561, 0.7479524612426758, 0.834321916103363, 0.5772510170936584, -0.31291866302490234, 0.1539396345615387, -1.8411377668380737, -0.4479614794254303, -0.2008732259273529, 0.19068938493728638, 1.578115463256836, -1.3174504041671753, -0.24120865762233734, -0.32466819882392883, -0.9078291058540344, 0.7048640847206116, -0.24265697598457336, 0.3497192859649658, 0.6351476907730103, 1.3111968040466309, -0.060278359800577164, 0.3946623206138611, -0.5482832789421082, 0.3218000829219818, 0.9953094124794006, 0.4316348433494568, -0.028472375124692917, -0.5642793774604797, 0.8452149629592896, -0.14505471289157867, 0.26729607582092285, -0.2771262526512146, -0.8418139219284058, 0.5084543228149414, -0.9799870252609253, -1.340940237045288, 0.5472533702850342, 0.4587656855583191, -0.695578396320343, -0.7168076634407043, -0.8641204833984375, 0.992211103439331, -0.6305558085441589, -0.6553544402122498, 0.4383215606212616, -1.951284408569336, -1.3990486860275269, 1.5865687131881714, -0.8951689004898071, 1.7827142477035522, 0.8555280566215515, -0.3900502026081085, -0.9122938513755798, -0.7562311887741089, -0.07296714931726456, 0.4887396991252899, -0.20726563036441803, -0.2994695007801056, 0.7843807935714722, -0.3829965591430664, 0.523748517036438, -0.6056350469589233, 0.36158889532089233, -0.341887891292572, -0.41804128885269165, 0.2773716151714325, 0.2734607756137848, -0.492085725069046, -0.8867460489273071, -0.5095030069351196, -0.6559137105941772, -0.15244357287883759, -0.08146470040082932, -0.8128284811973572, -0.2384701818227768, 0.5845221281051636, -0.9478944540023804, -1.0372262001037598, -0.3419777750968933, -0.37588852643966675, -0.8489841818809509, 0.6848905682563782, 0.7844862937927246, 0.25361502170562744, -0.4289781153202057, 1.5490939617156982, 1.5036338567733765, 0.3094317615032196, 0.6110849380493164, 0.2275257408618927, 0.1041080504655838, -0.6556409597396851, -0.17051291465759277, -0.26553070545196533, 0.5649265050888062, 0.3636630177497864 ]
182
0704.0184
Paolo Padovani
P. Padovani (ESO)
Gamma-ray emitting AGN and GLAST
5 pages, 1 figure, invited talk at the First GLAST Symposium, February 5-8, 2007, Stanford University, USA, to appear in the proceedings
AIP Conf.Proc.921:19-23,2007
10.1063/1.2757258
null
astro-ph
null
I describe the different classes of Active Galactic Nuclei (AGN) and the basic tenets of unified schemes. I then review the properties of the extragalactic sources detected in the GeV and TeV bands, showing that the vast majority of them belong to the very rare blazar class. I further discuss the kind of AGN GLAST is likely to detect, making some predictions going from the obvious to the likely, all the way to the less probable.
[ { "created": "Mon, 2 Apr 2007 13:34:32 GMT", "version": "v1" } ]
2009-06-23
[ [ "Padovani", "P.", "", "ESO" ] ]
07
[ 0.04097806662321091, 0.2403274029493332, 1.1521666049957275, -0.966927170753479, 0.36185750365257263, -0.16068147122859955, 1.0461781024932861, 1.282128930091858, 0.09714360535144806, 0.1887826770544052, -0.2022167593240738, -0.17232373356819153, -0.25959670543670654, 0.5958183407783508, -0.45241788029670715, -0.482943594455719, 0.3410664200782776, -0.07632414996623993, -0.7317778468132019, -0.7356271743774414, 0.2581952214241028, 0.2881107032299042, -0.7674193382263184, 0.4759683907032013, -0.009855562821030617, -0.1179756447672844, 0.9970477223396301, 0.22067706286907196, -0.5756434798240662, 0.4662077724933624, 0.5353832840919495, 0.35214030742645264, 0.35429298877716064, -0.28282901644706726, 0.20116065442562103, -0.10698755830526352, 1.8109358549118042, -1.2956643104553223, -0.8600450158119202, 0.20306916534900665, 1.1048108339309692, -0.07523281127214432, 0.7266853451728821, 1.5838725566864014, -0.3222518265247345, -0.4107914865016937, 0.5511293411254883, 1.3638123273849487, 0.36233624815940857, 0.6647677421569824, -0.1068711131811142, -0.21408149600028992, 0.12279496341943741, 0.4757024943828583, -0.11240110546350479, -0.6001249551773071, 0.587477445602417, 0.40382489562034607, -0.9295905232429504, -0.6537771821022034, -0.34866848587989807, -0.16568943858146667, 0.1479552537202835, -0.4882589876651764, -0.9631756544113159, -1.2466825246810913, 0.10931452363729477, 0.3505058288574219, 0.9526858925819397, -1.2461965084075928, -0.8029775619506836, -0.6188602447509766, -1.0220870971679688, -0.27108123898506165, 0.22145231068134308, -0.6800429821014404, 0.56874018907547, -0.7730214595794678, 0.2902393937110901, -0.5627574324607849, 0.0019394694827497005, 0.5795641541481018, -1.6307356357574463, -1.5869146585464478, -0.26920610666275024, -0.1647319793701172, 0.16844578087329865, 0.37911257147789, 0.013377437368035316, 0.282388836145401, -0.5666781067848206, -0.19776612520217896, 0.3309144377708435, -1.6169825792312622, 0.7464352250099182, -0.1780669242143631, -0.3494054675102234, 0.7982445359230042, 0.5398809313774109, 0.20143809914588928, -0.32822170853614807, 0.9801331758499146, -0.1781388223171234, 0.04072418808937073, 0.5857674479484558, -0.6090890169143677, -0.9646164178848267, 0.22273632884025574, 0.5132256746292114, -0.3211475908756256, 0.542087972164154, -0.6590919494628906, -0.08764609694480896, 1.7376950979232788, -0.825069010257721, 0.5427530407905579, -1.0470415353775024, 0.5949535965919495, -1.1285260915756226, 0.25022590160369873, -0.4862448275089264, 0.8275138735771179, -0.6182379126548767, -0.8326829075813293, -0.04326628893613815, -1.3385061025619507, 0.35326671600341797, -0.38664108514785767, 0.384024441242218, -0.37420836091041565, -0.3161117434501648, -0.37302228808403015, -0.7908201813697815, 1.0042486190795898, -0.6876373887062073, -0.13117893040180206, 0.07313896715641022, -0.4777600169181824, 0.4525471329689026, -0.06891205906867981, -0.15133243799209595, -0.2724934220314026, -0.32823753356933594, 0.3142985701560974, -0.27152225375175476, -0.2120705544948578, 0.29942581057548523, 0.22782015800476074, 0.48225724697113037, -0.5140260457992554, -0.33346226811408997, -0.8442967534065247, 0.46583759784698486, 0.67353355884552, 1.374932885169983, 0.31334954500198364, -0.13496726751327515, 0.2215990275144577, -0.1500346064567566, 1.531313419342041, -0.7606931328773499, 0.0876653641462326, 0.3505527079105377, 0.04524647071957588, -0.07092196494340897, -1.121788740158081, 0.6714614033699036, 0.008495047688484192, -1.1681344509124756, 0.706327497959137, 0.4472757577896118, -0.05973891541361809, -0.5727336406707764, 0.6878975033760071, -0.8471652865409851, -0.6439260840415955, -0.1194930374622345, 0.013309446163475513, -1.068173885345459, -0.4300212562084198, 0.9735147953033447, -0.18131956458091736, 0.22546769678592682, -1.0279768705368042, 0.6472293734550476, -0.7620104551315308, 0.23499846458435059, -1.3867610692977905, 0.34305450320243835, 0.3100508153438568, -0.26133015751838684, 0.19743843376636505, 0.25013214349746704, 0.8116536140441895, -0.8537665009498596, 1.4255287647247314, -0.8607943654060364, -0.6687315106391907, 0.6253341436386108, -1.3514394760131836, 0.17940443754196167, -0.5213863253593445, -0.19917206466197968, 0.6090103387832642, -1.9765100479125977, 0.900284469127655, 0.5512902140617371, 0.9311563372612, 0.7715083956718445, 1.0633794069290161, 0.12239635735750198, 1.0493061542510986, 0.8608419299125671, 0.5546631217002869, -0.46170783042907715, 0.4660484492778778, 1.0694571733474731, -0.5184059143066406, -0.3717477321624756, -0.43337422609329224, 0.04548194631934166, 1.250697374343872, 0.7715885639190674, -0.4253814220428467, -0.7576940059661865, 0.4317965805530548, 0.8036636114120483, -0.6917830109596252, 0.010726908221840858, -0.5326058268547058, 0.3530854284763336, 0.3296157717704773, 0.18478050827980042, -0.8265427350997925, -0.18195116519927979, -0.7975466251373291, -0.5521712303161621, -0.4907325506210327, -0.07190793752670288, -0.7480302453041077, 0.45298078656196594, 0.016044367104768753, -1.2575730085372925, -0.7909959554672241, -0.3476875424385071, 0.23077774047851562, -0.26224616169929504, -1.4333574771881104, 1.1637166738510132, -0.13587957620620728, -0.7218123078346252, -0.21346941590309143, -0.20251615345478058, -1.1609303951263428, 0.7523960471153259, 0.3065146803855896, -0.13519799709320068, -1.9180549383163452, -0.8649168014526367, -0.1862937957048416, -0.8292099237442017, -0.8193321228027344, -0.5227155089378357, 1.6079503297805786, -0.2209051102399826, -0.49480152130126953, 1.1975241899490356, -0.5049025416374207, -0.2961427867412567, -0.10115589946508408, 0.8350819945335388, -1.192265272140503, 0.5094866752624512, -0.7266355156898499, -0.7668143510818481, 0.6757283210754395, 0.3028295636177063, -0.34804806113243103, -0.8148180246353149, -1.3937468528747559, -0.6736781001091003, 0.436710000038147, 0.18596550822257996, 0.858869731426239, -0.35213443636894226, -1.1586253643035889, 0.7171047925949097, -0.25287356972694397, -1.6378822326660156, -0.3712409734725952, 0.49143892526626587, 0.4580326974391937, 0.03201952204108238, -0.37534788250923157, 0.8782037496566772, 0.13579855859279633, 0.2163219004869461, -0.7257402539253235, 0.8775883316993713, -0.7183229923248291, 0.8764374256134033, -0.09221936017274857, -0.18319889903068542, 0.05748922377824783, 0.3542042076587677, -0.7767826914787292, -0.715468168258667, 0.6175742149353027, 0.9179502725601196, 0.38248273730278015, -0.7413987517356873, -0.5920278429985046, 0.7899507284164429, -0.4199744760990143, 0.41955140233039856, 0.8919124007225037, -0.5671383738517761, 0.12323936820030212, -0.41013026237487793, -0.6021057367324829, 0.26412326097488403, 0.31305092573165894, 0.6322033405303955, 0.1283024549484253, -0.36576876044273376, -1.1163661479949951, 0.7141964435577393, -0.3924954831600189, 0.10639981925487518, -1.0217342376708984, 0.10884664207696915, 0.23416319489479065, 1.4625083208084106, 0.8345910906791687, -0.33879098296165466, -0.8837542533874512, 0.04781368747353554, 1.1443684101104736, 0.7727755904197693, -0.6161923408508301, -0.3789511024951935, 0.6717385053634644, 0.45121803879737854, 1.2261743545532227, 0.2166825234889984, 0.5896369218826294, -0.32112836837768555, 0.3940787613391876, -0.27135178446769714, 0.628963053226471, -1.2281665802001953, 0.4105950891971588, -1.1305761337280273, -2.7512643337249756, 0.4126828610897064, -0.11186419427394867, 0.37006574869155884, 1.8403794765472412, 0.08839104324579239, 0.16592523455619812, -1.3742470741271973, 1.0063354969024658, 1.1044291257858276, 0.8696144819259644, 0.6835645437240601, -0.08102927356958389, -0.9692474603652954, -0.8821674585342407, -1.423400640487671, -0.6980037093162537, -0.3536730408668518, 0.14162440598011017, -0.32291361689567566, 0.5303341746330261, -0.1772424876689911, -0.3496406376361847, 0.030474375933408737, -0.7174453139305115, -0.09925759583711624, -0.08035064488649368, -1.6974910497665405, -0.6237143278121948, 1.1286249160766602, 0.3244345784187317, -1.2836965322494507, 1.130022406578064, 0.11249802261590958, -0.2461066097021103, 0.2349492460489273, 0.09529057890176773, -0.19438199698925018, -0.8598647117614746, -0.6050487756729126, -0.20886991918087006, -0.18159900605678558, 0.3595535159111023, -0.9357353448867798, -0.5739315748214722, 0.2949804663658142, -0.9788185954093933, 1.1237317323684692, 0.48250916600227356, -0.14689131081104279, -1.570261001586914, 0.031441159546375275, 0.10915257781744003, 0.24680793285369873, 0.32894447445869446, 0.20502959191799164, -0.3119641840457916, -0.5385329723358154, 0.13383106887340546, 0.1679018884897232, -0.2957000136375427, -0.42702436447143555, -0.23618033528327942, -1.4764431715011597, 0.3890725374221802, -0.6716530323028564, -1.3670806884765625, 0.26604750752449036, -1.099120855331421, -0.7111225128173828, 0.07311677187681198, 0.09148651361465454, -0.6946032047271729, 0.31464269757270813, 0.4161265194416046, -0.08684773743152618, -0.10927528142929077, -0.48167094588279724, 0.4464900493621826, 0.25147005915641785, -1.0771701335906982, -0.11932943761348724, 0.049300894141197205, -0.9108070135116577, -0.4996037781238556, -0.3111438751220703, 0.1405361443758011, -0.6531934142112732, -1.107079029083252, 0.13965217769145966, -0.4016212821006775, 0.3647368252277374, 1.0251001119613647, 0.6954152584075928, 0.22846105694770813, -0.9571384191513062, 0.3818953037261963, 0.5278835892677307, 1.3616446256637573, -0.27101969718933105, -0.11447613686323166, -0.5844841003417969, -0.14218436181545258, 0.6397534012794495, 0.4487106204032898, -0.9213188290596008, 0.18536075949668884, -0.6981291770935059, 0.9333982467651367, -0.5038425326347351, 0.05290510877966881, 0.7953724265098572, -0.23905795812606812, -0.45904555916786194, -0.9990381002426147, 1.1044925451278687, 0.17928454279899597, 0.4175577163696289, -0.025152236223220825, -0.12661701440811157, -0.4977586269378662, -0.2429395467042923, 1.7342134714126587, -0.7461376786231995, 0.18955852091312408, 0.1595570594072342, 0.2708638608455658, 1.2128459215164185, 0.2348679155111313, 0.22227676212787628, -0.6786673069000244, 0.17325951159000397, 0.6555333137512207, -1.3682397603988647, 0.1889660805463791, -0.09815755486488342, -0.19694380462169647, 0.7980660200119019, 0.572307825088501, 0.5165389180183411, 0.6422672271728516, -0.8680045008659363, -0.35850790143013, -0.490514874458313, -0.18002374470233917, 0.05021316558122635, 0.26971784234046936, 0.7975226640701294, -0.08926782757043839, 0.7215118408203125, -0.658730685710907, -1.4358429908752441, 0.8187033534049988, -0.2845873236656189, -0.4272499978542328, -0.8036755323410034, 0.983095645904541, -0.35742276906967163, 0.5604400634765625, 1.301857352256775, 1.206385612487793, 0.5271168947219849, -0.08158647269010544, -0.4405614137649536, -1.4377110004425049, -0.011181030422449112, -0.22774022817611694, -1.214968204498291, 0.2513022720813751, -0.5372703075408936, -0.3082936704158783, 0.1414397656917572, 0.24297098815441132, 1.2014970779418945, -0.40381699800491333, -0.1411922574043274, 0.7303807735443115, 0.3815605342388153, 0.49811941385269165, -0.08878370374441147, -0.29400739073753357, 0.1091662347316742, -1.0670666694641113, 0.41304996609687805, -0.2841247022151947, -0.2412039190530777, 0.512262225151062, 0.4752867519855499, -0.004713791888207197, 0.13806027173995972, 0.41797736287117004, -0.36753419041633606, -0.2472899854183197, 1.2158081531524658, -0.1678311824798584, 0.1475951224565506, -0.911486804485321, -0.8847723007202148, 0.5491864681243896, 0.7815703749656677, -0.8368241786956787, 0.47504985332489014, 0.8101122975349426, -9.058719635009766, -0.200673446059227, -0.22479921579360962, 0.14391778409481049, -0.2039395123720169, -0.15605390071868896, -0.2587850093841553, -0.39170020818710327, -0.22119636833667755, -0.46810752153396606, 0.6088990569114685, 0.2593204379081726, -0.10371017456054688, 0.3540200889110565, -0.8439058065414429, -0.3016839027404785, -0.24687804281711578, -0.04829660803079605, -1.471437931060791, 0.4450610876083374, -0.06288386881351471, 0.893819272518158, -0.30688783526420593, -0.9963138103485107, 0.5645279884338379, 0.32214051485061646, -0.38162901997566223, 0.7761867046356201, -0.7065772414207458, 0.5170716643333435, -0.14618219435214996, 0.24458761513233185, -0.3403235077857971, 0.11957097053527832, -0.2818257808685303, 0.26698365807533264, -1.3095781803131104, 0.5629774928092957, 0.26704666018486023, -0.1608951985836029, 0.4054041802883148, 0.78794926404953, 0.0415523387491703, 0.5711608529090881, -0.05229455232620239, 1.0574781894683838, -0.008955624885857105, -0.03596925735473633, 1.3972978591918945, 0.7797953486442566, 0.549591600894928, -0.7424486875534058, -0.9573615789413452, -1.0048513412475586, 1.302291750907898, 0.6737827658653259, -0.13854549825191498, -0.8465842008590698, -0.5926305651664734, -0.1420927345752716, 0.7615759372711182, -0.8873624801635742, -0.8599802851676941, -0.662743330001831, 1.0964691638946533, -0.620419442653656, -0.770506739616394, 0.16173423826694489, -0.3136720657348633, 1.1827583312988281, -0.030911190435290337, -0.3226757347583771, 0.12369729578495026, -0.48832884430885315, -1.025127649307251, 0.5770740509033203, -0.5686392188072205, 0.9335886836051941, 0.07859182357788086, 0.21471306681632996, 1.340857982635498, 1.5474464893341064, -0.30180224776268005, 1.250174641609192, 0.006385962013155222, -1.275984287261963, -0.04703618958592415, 0.5116766095161438, 0.1932021975517273, -0.5684528350830078, 0.5929384827613831, 1.1031749248504639, -0.1584513932466507, -0.13727928698062897, -1.4619874954223633, -0.40053969621658325, -0.17530612647533417, -0.7867359519004822, -0.17090073227882385, -0.5989482402801514, 0.7717573046684265, 0.38899296522140503, 1.5610136985778809, 0.12403809279203415, -0.05014381185173988, -0.37303662300109863, -0.9440702795982361, -1.574540376663208, -0.6129738688468933, -0.9976884126663208, -0.6669629812240601, -0.7731794714927673, -0.4260827302932739, 0.6217321157455444, 0.4749508500099182, -0.568988025188446, -0.387844979763031, 0.28115010261535645, -0.9646778702735901, 1.1680887937545776, -0.006198248825967312, 1.1490364074707031, -0.9711918830871582, -0.4738578796386719, -0.9208322763442993, -0.3240450322628021, -0.1643027514219284, 0.3179836869239807, -1.194347858428955, 0.5331259369850159, -0.10113522410392761, -0.09661862999200821, 0.6536626815795898, -0.7951573729515076, 0.02251603826880455, 0.562628984451294, 1.2950853109359741, 0.9240185022354126, 0.2796139419078827, -0.17124240100383759, 0.27130216360092163, -0.8360205292701721, 0.7400844693183899, -0.6718794703483582, 0.3907531499862671, -0.670588493347168, 0.0007578237564302981, -1.2702423334121704, -0.45555800199508667, -0.35263708233833313, 0.5738391876220703, -1.5162653923034668, 0.12573672831058502, 1.7438913583755493, -0.10117502510547638, -0.44335484504699707, -0.4028797447681427, -0.6446481943130493, 0.3545893430709839, 0.46205973625183105, 1.031258225440979, -0.05544419214129448, 0.9003576040267944, 1.4742040634155273, -0.47297403216362, -1.4203275442123413, -0.008046054281294346, 1.8594738245010376, -1.4026707410812378, 0.37263724207878113, -0.10800640285015106, -0.07163014262914658, -1.2942254543304443, 0.5742426514625549, 0.8886958360671997, 0.17432866990566254, -0.3429567813873291, 0.5214030146598816, -0.5832188725471497, -0.5302051901817322, 0.5418264865875244, -0.5032359957695007, 0.3251793682575226, 0.6588675379753113, 0.03782185912132263, 1.173712134361267, -0.21381962299346924, 0.27002573013305664, 0.498457133769989, 0.5079054236412048, 0.44606027007102966, 0.811143159866333, -0.9085959196090698, -0.8050947785377502, -1.4946702718734741, -0.24853631854057312, 0.15625843405723572, 0.6168769001960754, 0.06731811165809631, -0.8312428593635559, -0.35307806730270386, 0.62450110912323, 0.4645346999168396, 0.7250927090644836, 0.5316895842552185, 0.20626328885555267, -0.6399385333061218, -0.0007007218082435429, 0.34660080075263977, -0.34168943762779236, -0.27812111377716064, -0.34128427505493164 ]
183
0704.0185
Peter Brommer
Peter Brommer and Franz G\"ahler (Institut f\"ur Theoretische und Angewandte Physik, Universit\"at Stuttgart)
Potfit: effective potentials from ab-initio data
11 pages
Modelling and Simulation in Materials Science and Engineering 15 (2007), 295
10.1088/0965-0393/15/3/008
null
cond-mat.mtrl-sci
null
We present a program called potfit which generates an effective atomic interaction potential by matching it to a set of reference data computed in first-principles calculations. It thus allows to perform large-scale atomistic simulations of materials with physically justified potentials. We describe the fundamental principles behind the program, emphasizing its flexibility in adapting to different systems and potential models, while also discussing its limitations. The program has been used successfully in creating effective potentials for a number of complex intermetallic alloys, notably quasicrystals.
[ { "created": "Mon, 2 Apr 2007 13:35:11 GMT", "version": "v1" }, { "created": "Tue, 3 Apr 2007 08:51:17 GMT", "version": "v2" } ]
2007-05-23
[ [ "Brommer", "Peter", "", "Institut für Theoretische und\n Angewandte Physik, Universität Stuttgart" ], [ "Gähler", "Franz", "", "Institut für Theoretische und\n Angewandte Physik, Universität Stuttgart" ] ]
07
[ 0.30367082357406616, -0.802751898765564, -1.466304898262024, 0.6980659365653992, -0.46297454833984375, 0.5291211605072021, 0.19184330105781555, -0.05078587681055069, 0.7131767272949219, 0.23924900591373444, -0.4992158114910126, -0.32999908924102783, 0.687510073184967, -0.056853264570236206, -0.6362400054931641, -0.38615766167640686, -0.5476396083831787, 0.13226905465126038, 0.26323607563972473, 0.5107280015945435, 0.25137290358543396, 0.3975342810153961, 0.8449428081512451, -0.24734404683113098, -0.5540843605995178, 0.5261173844337463, -0.8828790783882141, -0.1290879100561142, 0.9136540293693542, -0.03267110139131546, 0.8976284265518188, 0.014385166577994823, 0.5826900601387024, -0.40896743535995483, -0.1613774448633194, -0.3549434542655945, 0.11844757199287415, -0.4264380931854248, 0.3294340968132019, 0.2304130643606186, 0.3399706780910492, -0.863257110118866, -0.2780473530292511, -0.6423568725585938, -1.0262254476547241, -1.0077260732650757, -0.3267575800418854, -0.1554243266582489, -1.6566537618637085, -1.001988172531128, 1.2396259307861328, -0.8444891571998596, 0.590303361415863, 0.23917843401432037, 0.5206040740013123, 0.42417073249816895, -1.4850988388061523, 0.7336227893829346, 0.9046321511268616, 0.853818416595459, 0.27037206292152405, 0.9890338778495789, -0.25944000482559204, -0.050243064761161804, 0.7358517646789551, 0.4333139657974243, -0.7000850439071655, 0.34004032611846924, 0.025730913504958153, -0.32026582956314087, -1.4507300853729248, -1.0137007236480713, -0.9074590802192688, 0.4999828636646271, -0.4309200048446655, -0.5321063995361328, -0.1347351223230362, -0.7591349482536316, -0.030250219628214836, -0.896404504776001, 0.22271308302879333, -0.4814276397228241, -0.13544432818889618, -0.7151594161987305, 0.18357443809509277, 0.5524998903274536, 0.24708148837089539, -0.8437137007713318, 0.26290932297706604, -0.8568203449249268, -0.30279380083084106, -0.9302043914794922, -0.35812488198280334, -0.328682541847229, -0.298967570066452, 0.41930750012397766, -0.24563859403133392, -0.0013587774010375142, -0.16685700416564941, 0.6464390754699707, -0.23937255144119263, 0.4634753167629242, 0.08854468911886215, -0.30620771646499634, -0.04799911379814148, 0.16398121416568756, 1.18937087059021, -1.5084030628204346, -1.1850309371948242, -0.02238323912024498, -0.023512868210673332, 0.003077588975429535, 1.2002003192901611, 0.774265706539154, -1.2672064304351807, 1.1976436376571655, 0.047061532735824585, 0.2563014626502991, 0.6097117066383362, 0.4640602171421051, 1.5388457775115967, -0.11944796144962311, 0.26825594902038574, -0.36458930373191833, -0.04168456792831421, 0.7698065638542175, -0.5340009331703186, 0.3046814203262329, 1.55940580368042, -0.19747775793075562, 0.3500864505767822, -0.5158163905143738, 0.06884913891553879, 0.42051997780799866, -0.13040395081043243, -0.1666671186685562, -0.07877945154905319, 0.30203941464424133, -0.1205446645617485, -0.31315484642982483, -0.13343490660190582, -0.45348116755485535, -0.1591722071170807, -1.365566372871399, -0.6854392290115356, -0.1320900321006775, -0.06264892220497131, -0.09202674776315689, -0.439594030380249, -1.1827056407928467, -0.20841050148010254, 0.9901910424232483, 0.050944503396749496, 0.587867796421051, 0.7502420544624329, 0.03847222775220871, 0.7594985365867615, -0.5452584028244019, -0.9071618318557739, -0.917730450630188, 2.1232824325561523, 0.016846975311636925, 0.19937358796596527, -1.0136432647705078, -0.429270476102829, 0.4647676646709442, -0.19260931015014648, -0.0007302039884962142, 0.03474089503288269, 0.9153866767883301, 0.11285846680402756, -0.5673326253890991, -0.6592494249343872, -0.17255961894989014, 0.22384074330329895, -0.3547423779964447, 0.20598259568214417, -0.3700468838214874, -0.13515916466712952, 1.7223509550094604, -0.5206643342971802, -0.4929257035255432, 0.041293732821941376, -0.32399889826774597, -0.02249106578528881, 0.27213791012763977, 0.09850447624921799, 0.5303704142570496, -0.10554050654172897, -0.5762684941291809, -0.778526782989502, -0.3089786171913147, -1.253069281578064, 0.5922220349311829, -0.21758578717708588, 1.0393513441085815, 0.4492871165275574, 0.7808330655097961, -0.781275749206543, -0.6023542284965515, -0.8034583330154419, 1.4089182615280151, -0.8129399418830872, 0.24679435789585114, -1.4533523321151733, 0.09317812323570251, 0.27877238392829895, 0.05528787150979042, -0.617459237575531, -1.0425751209259033, 0.09154631197452545, -0.29489657282829285, -0.6479024291038513, -0.5833597779273987, 0.15743590891361237, -0.1951243281364441, -0.28840944170951843, -0.5613113045692444, 0.03974379971623421, -1.3819173574447632, 0.13408781588077545, 0.533687949180603, 0.7725746035575867, -0.1831982433795929, 0.019764099270105362, -0.45149871706962585, 0.5812258720397949, -0.2313896119594574, 0.00248987739905715, 0.4666431248188019, -0.8047580122947693, 0.35982179641723633, -1.558755874633789, 0.3228001892566681, -0.2816784381866455, -0.456085205078125, -1.3327445983886719, 1.026408076286316, -0.45057058334350586, -0.5171583294868469, -0.3118705153465271, -0.496689110994339, 0.22413122653961182, -0.12192769348621368, -0.6308690309524536, 0.3458658456802368, 0.09017745405435562, 1.7502946853637695, 0.9382562637329102, 0.3594944477081299, -1.0990321636199951, 1.0617649555206299, 0.27768653631210327, -1.396920919418335, -0.9991028904914856, -1.338707447052002, 1.000095009803772, 0.7497349381446838, 0.38907086849212646, -0.055985864251852036, 0.6164762377738953, 0.04267878830432892, -0.2085987776517868, 0.43837496638298035, 0.13830648362636566, 0.42802852392196655, -0.04682907462120056, -0.14454828202724457, 0.45115363597869873, -1.0008925199508667, -0.38638603687286377, -0.7095885276794434, -0.9277020692825317, 0.3021516799926758, 0.8948284983634949, -0.770163357257843, -0.01173655316233635, -1.0028220415115356, -0.32010331749916077, -0.5207386612892151, 1.5177615880966187, 0.4158560037612915, 0.7868101000785828, 0.5053861737251282, 0.1480703353881836, -1.0520219802856445, 0.7824724316596985, -0.4013487994670868, 1.5771397352218628, -0.3589446544647217, -0.5374032258987427, 0.2694793939590454, -0.7558267116546631, 0.03904265910387039, -1.1664116382598877, 0.2646089494228363, -0.09267253428697586, -1.5949746370315552, 1.5591259002685547, -0.005246171727776527, 1.008650779724121, 0.19387802481651306, -0.39188629388809204, 0.7017501592636108, -0.05794176459312439, -0.8934658765792847, -1.2089723348617554, -0.554026186466217, -0.18352295458316803, -0.04143102094531059, 0.2978220283985138, 1.3514364957809448, -0.8255317807197571, -0.48674440383911133, 1.4549351930618286, -0.6481974124908447, -0.3279614746570587, -0.28196296095848083, -0.4885913133621216, -0.2999646067619324, 1.808311939239502, 0.7723607420921326, 0.2565130889415741, 0.6187759041786194, -0.10207776725292206, -0.6103447079658508, -1.1000688076019287, -0.2793358266353607, -0.4449012875556946, 1.4617328643798828, 1.2626919746398926, 0.39690282940864563, -0.5082345604896545, 1.0835479497909546, 0.19662393629550934, 0.5071202516555786, -0.192957803606987, 0.4038088321685791, -0.3416392505168915, 0.00277957646176219, 1.435019850730896, 0.20308858156204224, 0.6949349045753479, -0.36160463094711304, -0.8498155474662781, -0.4461623430252075, -2.13372540473938, -0.6175888180732727, -0.20460617542266846, -0.8434881567955017, -0.35881826281547546, -0.8405582308769226, -0.16263994574546814, -0.38255003094673157, -0.4979552626609802, -0.04930279776453972, 0.3769182562828064, 0.24783410131931305, 0.08982811123132706, 1.14564847946167, -0.12201448529958725, -0.5335967540740967, 0.4724760055541992, -0.03339320421218872, -0.2368498295545578, -0.3190554976463318, -0.7638867497444153, -0.8440247774124146, -0.7447909116744995, 1.4573767185211182, 0.6757000088691711, -0.10033155977725983, 1.3342359066009521, -1.8011319637298584, -0.5456539392471313, -0.02677316404879093, -0.6197644472122192, 0.5026065707206726, 0.49355074763298035, -0.226889967918396, 0.09926024079322815, -0.7049584984779358, -0.31286537647247314, -1.2608588933944702, -0.7398579120635986, -0.38343948125839233, 0.6731859445571899, 0.7138826251029968, -0.673948347568512, -0.043241050094366074, -1.2231180667877197, -0.0863754004240036, -0.15789371728897095, -0.4540100693702698, 0.5254029035568237, 1.0942764282226562, 0.447608083486557, -0.21900512278079987, 1.722436547279358, 0.012723507359623909, -0.318270206451416, 1.1494783163070679, -0.3672618865966797, -0.09698200970888138, -0.7349219918251038, 0.5993381142616272, -0.08655655384063721, 0.203732430934906, -0.979861319065094, -0.292619913816452, -0.07876437157392502, 0.30837202072143555, 0.45959416031837463, -0.6494005918502808, 0.12003090977668762, -0.24905133247375488, 1.5107208490371704, 0.6764815449714661, -0.6529103517532349, -0.39550334215164185, 0.03738021105527878, 0.625839114189148, -0.258779376745224, -0.14171887934207916, -0.11231372505426407, 0.21555763483047485, -0.08345893770456314, -0.4335617423057556, 0.062433287501335144, -0.7211501598358154, 0.468504399061203, -0.3253324031829834, -0.5614222288131714, -0.229368656873703, -0.37056174874305725, -0.43192383646965027, -0.0188975241035223, -0.45626989006996155, -0.4004746675491333, -0.4582238793373108, 0.58045893907547, 0.5166969895362854, 0.4953935146331787, -0.9499548673629761, 0.30756115913391113, -0.4631640911102295, -0.4731283485889435, -0.14653515815734863, -0.41488537192344666, 0.8901252150535583, -0.7250319719314575, 0.30704864859580994, 0.20308712124824524, -0.812311053276062, 0.9456683397293091, -0.3178096115589142, -0.3998858630657196, 1.6856859922409058, -0.5034967660903931, 0.8175532221794128, 0.4005008339881897, -1.0842044353485107, -0.3669276237487793, -0.47280561923980713, 0.8790794610977173, 0.6882637739181519, 0.06169681251049042, 0.7698938250541687, -0.6336539387702942, -0.21484112739562988, -0.630967378616333, -0.5301381945610046, 0.5753602981567383, -0.5692564845085144, 0.2264026403427124, -0.6030270457267761, 0.12117747962474823, 0.5777702927589417, -0.09137951582670212, -0.6754928231239319, 0.7791613936424255, 0.1570458561182022, -0.5302343368530273, 1.2410354614257812, 0.36402228474617004, 0.9161235094070435, 1.7693402767181396, -0.3360390067100525, 0.7571994662284851, 0.3992670476436615, -0.045743077993392944, 0.8972494602203369, -0.7994033098220825, 0.8462058901786804, -0.4318895637989044, 0.8845788240432739, -0.3107241094112396, 0.10928615182638168, 0.31404104828834534, -0.9150745272636414, 0.12544089555740356, -0.5419437885284424, -0.7231625318527222, 0.40004971623420715, -0.8608981370925903, -1.2951956987380981, 0.3355793058872223, -0.48336517810821533, 0.02572774700820446, 1.492794394493103, -0.21440941095352173, 0.11498165130615234, 0.16142496466636658, -0.1196618527173996, -0.8069466948509216, 1.196488380432129, -0.7655405402183533, -2.886136770248413, -0.028560038655996323, 1.3523533344268799, -1.687558889389038, -0.5790844559669495, -0.3166024088859558, 0.2585028409957886, 0.2863383889198303, 0.41146472096443176, 0.7124412655830383, -0.06894028931856155, 0.38213273882865906, 1.0099525451660156, 0.11602684110403061, -0.01684139296412468, -1.1444772481918335, -0.5587298274040222, 0.6246233582496643, 0.5128025412559509, 0.30863702297210693, -0.9432653188705444, -0.14859136939048767, 0.18295907974243164, 0.1516021490097046, -0.48815804719924927, 0.23856689035892487, -0.6108198761940002, 0.19931171834468842, -0.31388410925865173, 0.2630661725997925, -0.17199836671352386, 1.0937188863754272, -1.4925061464309692, -0.16649647057056427, -0.9882811307907104, 0.6032978892326355, -0.6352893710136414, 0.4135389029979706, -0.16772986948490143, -8.573335647583008, -0.251194030046463, 0.533038318157196, -1.0491427183151245, 0.6425761580467224, 0.787519097328186, -0.5551269054412842, 0.1188543513417244, 1.0448110103607178, -0.49501365423202515, -0.913090169429779, -0.3207680284976959, 1.2678344249725342, -0.18163354694843292, 0.27814561128616333, 0.29697003960609436, 0.5690833330154419, -0.7949436902999878, -0.2536540627479553, -2.016571521759033, -0.9826977849006653, 0.7471172213554382, -0.4048982858657837, -0.13200588524341583, 0.3427176773548126, -0.16908539831638336, 0.04426278546452522, -0.4622344672679901, 0.2734658420085907, -0.17712615430355072, -0.6886387467384338, 0.8359500169754028, 1.248245358467102, -0.36582785844802856, 1.614126205444336, -1.3556909561157227, -0.4684838056564331, 0.4096347391605377, 0.2145671248435974, -0.38717374205589294, 0.8805340528488159, 0.3685360550880432, 1.3833562135696411, -1.1454658508300781, -0.4594317376613617, 0.5471689105033875, 0.10158248245716095, -0.2474963217973709, -0.2832040786743164, 0.8057420253753662, 0.8648867011070251, 0.024478917941451073, 1.1075537204742432, 0.7575571537017822, -1.0163084268569946, 0.41640201210975647, -1.5181593894958496, -0.1869215965270996, -1.182248830795288, -1.3525581359863281, 0.26971885561943054, -0.4069537818431854, -0.27770739793777466, -0.5988051891326904, 0.3352002501487732, 0.04104145988821983, 0.1763155311346054, -0.6179636716842651, 0.4573558568954468, 0.6578550338745117, -0.48154082894325256, -0.9087252020835876, 0.4106188714504242, -0.20336072146892548, -0.11872626841068268, -0.8438875675201416, 0.12775002419948578, -0.09221489727497101, -0.6023262143135071, 0.15151076018810272, 0.3717517852783203, 0.5946085453033447, 1.0557141304016113, 0.28091368079185486, 0.3991066813468933, 0.09120609611272812, 0.17516879737377167, -0.570192277431488, 1.098405361175537, 0.9002496004104614, 0.019806450232863426, -0.6561769247055054, -0.07398021966218948, 0.8189302682876587, -0.5651729106903076, -1.0231202840805054, -0.45843371748924255, -0.009067492559552193, 0.5453318953514099, -0.5678019523620605, 1.249962329864502, 0.2935374975204468, 0.7713204026222229, 0.17067499458789825, -1.4875370264053345, 0.29416412115097046, -0.04878117889165878, 1.4041177034378052, 0.016302766278386116, 0.11321912705898285, -0.5718151926994324, 0.29629695415496826, -0.897628664970398, -0.05561964586377144, -0.2745805084705353, 1.0237575769424438, 0.1778903752565384, -0.17083097994327545, 0.15538516640663147, 0.09084328263998032, -1.4222043752670288, 0.70425945520401, -0.6716851592063904, -0.7919924855232239, -0.42127367854118347, -0.7217628955841064, 1.3201216459274292, -1.1816917657852173, -0.5009562373161316, 0.3437969982624054, 0.8632643222808838, 0.2921505272388458, -0.8485367894172668, -0.8728167414665222, -0.4293419420719147, 1.885752558708191, -0.43679723143577576, 0.9399622678756714, -0.11724164336919785, 0.9119194149971008, 1.921045184135437, -0.3958722651004791, 0.23456986248493195, -0.9582198858261108, 0.24945035576820374, -0.6221076250076294, -0.43470948934555054, -1.0114587545394897, -0.5798993110656738, -0.8197591304779053, -0.9384506344795227, -1.3434487581253052, 0.0900021567940712, 1.7150367498397827, -0.4734216034412384, -0.5221627354621887, -0.39270129799842834, -0.4032800793647766, -0.6939385533332825, -0.7195786237716675, -0.429364949464798, 0.3754151165485382, 0.2308293730020523, -0.17993971705436707, -1.2315373420715332, -0.7966047525405884, 0.6096782684326172, 0.6630282402038574, 0.6330111622810364, -0.297137588262558, 0.08820553123950958, 0.46156370639801025, -1.0898433923721313, -0.12742644548416138, 0.7518667578697205, -0.5744448304176331, -0.11779557168483734, -1.2625761032104492, 0.6011847257614136, 0.7428917288780212, 0.8051815629005432, -0.1954386830329895, 0.2602425515651703, 0.12291073054075241, 0.8190973997116089, 0.6763617396354675, -0.3609137237071991, 1.137192726135254, 0.1462772786617279, -0.9996464848518372, 0.012000873684883118, 0.5221482515335083, -1.1767901182174683, -0.4310614764690399, -0.5723971128463745, 0.12735037505626678, 0.016818223521113396, 0.009724857285618782, 1.9694633483886719, -0.567209780216217, 0.8890628218650818, 0.8913237452507019, 0.5900763869285583, 0.5101081728935242, 0.29575496912002563, -0.914181649684906, -0.00644082622602582, -1.3018289804458618, -0.05970439314842224, 0.20442074537277222, -0.9477174282073975, 0.3327043652534485 ]
184
0704.0186
Ryo Takahasi
Ryo Takahashi and Morimitsu Tanimoto
Dark energy and neutrino model in SUSY -- Remarks on active and sterile neutrinos mixing --
12 pages, 7 figures, to appear in the proceedings of International Workshop on Neutrino Masses and Mixings -- Toward Unified Understanding of Quark and Lepton Mass Matrices --, Shizuoka, Japan, 17-19 Dec 2006
Int.J.Mod.Phys.E16:1529-1540,2007
10.1142/S0218301307006861
null
hep-ph
null
We consider a Mass Varying Neutrinos (MaVaNs) model in supersymmetric theory. The model includes effects of supersymmetry breaking transmitted by the gravitational interaction from the hidden sector, in which supersymmetry was broken, to the dark energy sector. Then evolutions of the neutrino mass and the equation of state parameter of the dark energy are presented in the model. It is remarked that only the mass of a sterile neutrino is variable in the case of the vanishing mixing between the left-handed and a sterile neutrino on cosmological time scale. The finite mixing makes the mass of the left-handed neutrino variable.
[ { "created": "Mon, 2 Apr 2007 13:27:02 GMT", "version": "v1" } ]
2008-11-26
[ [ "Takahashi", "Ryo", "" ], [ "Tanimoto", "Morimitsu", "" ] ]
07
[ 1.0007517337799072, 0.41370469331741333, -0.8011114001274109, 0.4048776626586914, 0.14786215126514435, -0.08846265822649002, 1.0160523653030396, 0.779131293296814, -0.5511257648468018, -0.6398622989654541, 0.3926510810852051, 0.7711851596832275, 1.0402724742889404, 0.26531508564949036, 0.37854936718940735, 0.8249256610870361, -0.2559046745300293, -0.17517182230949402, 0.3397428095340729, 0.3730855882167816, -0.006700377445667982, -0.3048437535762787, -0.018093762919306755, 0.13710595667362213, -0.8587368726730347, -0.25630247592926025, -0.4820787012577057, 0.9268679022789001, -0.20233947038650513, -0.9382995963096619, -1.614341378211975, 0.5046793818473816, 0.3275115191936493, 0.04895397648215294, 0.5623623728752136, -0.8241360187530518, 0.15041287243366241, -1.265633463859558, 0.02785531058907509, 0.13659216463565826, -0.7899295091629028, 1.2521363496780396, -0.5987685918807983, 0.4366630017757416, 0.09694834053516388, -0.07009181380271912, -0.30128565430641174, 0.10048480331897736, -0.8194060921669006, 0.2716238796710968, 0.39022573828697205, 1.5405138731002808, -0.11481758952140808, 0.3435390293598175, 1.2675042152404785, 0.5630374550819397, 0.22504976391792297, 0.33871975541114807, -0.07624898850917816, -1.123934268951416, 0.1130562275648117, 0.3209317624568939, 0.6571160554885864, 0.927944004535675, -0.9597780704498291, -0.2831830084323883, -0.418226957321167, -0.18635962903499603, 1.416075587272644, 0.9499517679214478, 1.1001416444778442, -0.27289801836013794, -0.6811191439628601, -0.9300783276557922, -2.2806594371795654, -0.6846655011177063, 0.5151383280754089, -1.0993330478668213, 1.0544583797454834, -1.0769031047821045, 0.28015074133872986, 0.002428872510790825, 0.4327845275402069, 1.0367612838745117, 0.7051610946655273, -0.20199374854564667, 0.26432138681411743, 0.645331621170044, 0.3834284245967865, -0.9497957229614258, -0.45530134439468384, 0.8857077956199646, 0.3582027852535248, -0.5223314762115479, 0.7044676542282104, -1.0330500602722168, -0.648970901966095, 0.40774697065353394, 0.53547203540802, 1.790339708328247, 1.6989500522613525, 0.23063360154628754, 1.0448797941207886, -0.9594143629074097, -1.437548279762268, 0.2771897315979004, -1.1687946319580078, -0.3883650004863739, 0.09165869653224945, 0.2633804678916931, -0.7663873434066772, -1.226113200187683, -1.0788016319274902, 0.09091079980134964, -0.28269320726394653, -0.0689752846956253, 1.4404561519622803, -0.14798682928085327, -0.19991162419319153, -0.6030757427215576, -0.44577521085739136, 0.8553623557090759, 0.7619186043739319, 0.13600866496562958, 0.2852568030357361, -1.0777708292007446, 0.32541173696517944, -1.0402733087539673, -0.18189170956611633, 0.7685279250144958, 0.2944602966308594, -0.615857720375061, -0.2812112271785736, 0.15264753997325897, 0.02654154971241951, 0.43348872661590576, 1.1534987688064575, -0.8268246650695801, 0.8488737344741821, -0.6503946781158447, 0.6034123301506042, 0.06223636493086815, -0.6819636821746826, 1.5267949104309082, 0.9359009861946106, -0.33861440420150757, -0.6855718493461609, -0.1395736038684845, -0.37435731291770935, -1.2823528051376343, -0.5535314679145813, -0.5972541570663452, -0.09096340835094452, 0.6909968256950378, 0.435724675655365, 0.0529884397983551, 1.1877481937408447, 0.08833926916122437, -0.5570518970489502, 0.20034946501255035, 0.021454352885484695, -1.1636806726455688, 0.5135454535484314, 0.17603829503059387, 0.7984750270843506, 1.0452672243118286, -0.5371726155281067, -0.23579339683055878, -1.4418526887893677, -0.7968093752861023, -0.23553766310214996, 0.7273118495941162, 0.8847949504852295, -0.4456343948841095, -0.7004848122596741, -0.2917426824569702, 0.4484950006008148, -0.32264670729637146, -0.7277500629425049, -1.1267633438110352, 0.7755316495895386, -0.7653418183326721, 0.5068646669387817, 0.7372723817825317, 0.16467039287090302, -0.9456028938293457, -0.0767519474029541, -0.8216727375984192, 0.19869846105575562, -0.14347131550312042, -0.9978746175765991, -0.8650963306427002, -0.8524360060691833, 1.2090798616409302, 0.3336254358291626, 0.2903860807418823, 0.7585264444351196, -0.7810677289962769, -0.8041728138923645, 0.1569925844669342, 0.03033561259508133, 0.3408105671405792, -0.2410612255334854, 0.5077229738235474, 0.5314116477966309, 0.5218632817268372, -0.8153218030929565, 0.4247376620769501, -0.43302375078201294, 0.3091028332710266, -1.2333565950393677, -0.3465178310871124, 0.4039851725101471, 0.5909321904182434, -0.07184898853302002, -0.09986383467912674, -0.2399829924106598, -0.141927570104599, 0.40977075695991516, -0.09129311144351959, 0.48903486132621765, -0.8945663571357727, 0.3174666464328766, -0.31475260853767395, -0.5870314240455627, 0.23875246942043304, -0.13889797031879425, 0.06750515848398209, 0.722996711730957, 0.33221733570098877, 0.15507088601589203, 0.5069945454597473, 0.1709461510181427, -0.7729599475860596, -1.1617227792739868, 1.0253660678863525, 0.3050071597099304, -0.21781471371650696, -1.3209720849990845, 0.6547902822494507, -0.23555444180965424, -0.697999894618988, 0.8131917715072632, -1.28890061378479, 0.5834554433822632, -0.270643949508667, 0.26667842268943787, -0.41845396161079407, -0.47852620482444763, -0.6783852577209473, -0.7618300914764404, 0.3080703318119049, 0.9585728645324707, 0.5965865850448608, 0.15195876359939575, -1.4814646244049072, 0.01533772423863411, -1.4928476810455322, -0.5359538197517395, 0.013271450065076351, -1.3519971370697021, -1.0583245754241943, -0.4148392677307129, -0.21488510072231293, 0.5554643869400024, 0.4445408880710602, 0.04322167858481407, -0.2352304607629776, -0.6588959097862244, 0.6640731692314148, -0.39695385098457336, -0.4000350534915924, 0.06599314510822296, 1.0774708986282349, 0.03531500697135925, 0.257517546415329, -0.822991132736206, -0.3732878565788269, -0.5922881364822388, -1.0783500671386719, -1.0852229595184326, 0.7397920489311218, 1.3608144521713257, 1.2553129196166992, 0.24155089259147644, 0.48217615485191345, 1.0766059160232544, -0.39697569608688354, -0.7291131615638733, 0.09498029202222824, -0.4907764792442322, -0.052124373614788055, 0.32449206709861755, 0.28304094076156616, 1.0400558710098267, 0.34315866231918335, 0.9924541711807251, -0.2867456078529358, 1.4581650495529175, 0.13931392133235931, -0.2612416744232178, -0.44555211067199707, 0.39848875999450684, -0.2871033549308777, -0.04933842271566391, 0.45033350586891174, -0.566236674785614, -0.29469236731529236, 0.6407347917556763, -0.7896042466163635, 0.471794456243515, 0.2023889422416687, -0.2119215875864029, 1.5179393291473389, 0.920035719871521, -0.09056183695793152, 1.3152596950531006, 0.6089460849761963, 0.18859243392944336, -0.25474074482917786, -0.7001851797103882, 1.1498770713806152, 0.21364009380340576, 0.10563058406114578, 0.04849531874060631, 0.4698839783668518, -0.08089952170848846, -0.4737180769443512, -0.060045868158340454, -0.5777073502540588, -1.2098450660705566, 0.39250892400741577, 0.844987690448761, 1.2444250583648682, 0.5965074896812439, -0.15556848049163818, 0.7584021091461182, -0.3251347541809082, -0.08730655163526535, 0.1588904708623886, -0.3677169680595398, 0.8568705916404724, 0.6105286478996277, 0.3774363398551941, -0.7439925074577332, -1.1080511808395386, 0.26550763845443726, -0.37923160195350647, -0.9941976070404053, 0.17333866655826569, -1.6938010454177856, -1.0065503120422363, 1.0037281513214111, 0.7855938076972961, 0.34907984733581543, -0.21150359511375427, 0.6701000928878784, -0.6054039001464844, 0.5211690068244934, 0.27673575282096863, 0.27109113335609436, -0.7504525184631348, -0.4569813907146454, -0.39242109656333923, 0.5137900710105896, 0.593467116355896, 0.07658951729536057, 0.8447495698928833, 0.49022531509399414, -0.6744910478591919, -1.668347716331482, 0.9807688593864441, -1.2191859483718872, -0.32198941707611084, 0.2963709235191345, 0.5203748941421509, 1.0444368124008179, -0.6789796948432922, 0.6037087440490723, 0.7099900245666504, -0.5385646224021912, 0.7396921515464783, -0.03845204785466194, -0.6147620677947998, -0.10681150108575821, -0.030578836798667908, -0.8874548077583313, -0.6884984970092773, -0.5145300030708313, 0.8979949951171875, -0.5061178803443909, -0.669863224029541, -0.09591994434595108, -0.14681987464427948, -1.0709506273269653, 0.4897024929523468, 0.5682206153869629, 0.05586623400449753, 2.084632158279419, 1.220145583152771, 0.21286344528198242, 0.02837943471968174, -0.7110047340393066, -0.5443590879440308, -0.15775009989738464, 0.16395148634910583, -0.06091304123401642, 0.3660152554512024, -0.3304453492164612, -0.9820898175239563, -0.7544529438018799, 0.7305777072906494, -0.11816421896219254, 0.21961067616939545, -0.9010350704193115, -0.3844434320926666, -0.5141772627830505, 0.09105747193098068, 0.14103712141513824, 0.62315434217453, -0.1060984879732132, -0.29154902696609497, 0.7423599362373352, 0.8954963684082031, -0.2652224898338318, -0.2156326323747635, 0.2073298692703247, -0.8145622611045837, -0.8495810627937317, 0.2306133508682251, -0.05630780756473541, -1.3933485746383667, 1.029607892036438, -0.4501919448375702, 0.09690762311220169, -1.0540680885314941, -1.5372869968414307, 0.2882414162158966, -0.19438998401165009, -0.6279667615890503, 0.08363272994756699, -0.31678491830825806, 0.3752395808696747, 0.3671492338180542, 0.7233810424804688, -0.10683804750442505, 0.3062470555305481, -0.18361303210258484, 0.8149359822273254, 0.5200204253196716, 0.4434386193752289, -1.1684954166412354, 0.7219964861869812, 0.01949520781636238, 0.37972334027290344, 0.42942801117897034, 0.7001473307609558, 0.5058339834213257, -0.1939135491847992, 0.9515799283981323, -0.8054948449134827, 0.3139335811138153, 1.1010127067565918, -0.017416924238204956, 0.37920352816581726, -1.0919737815856934, -0.606727123260498, 0.4350731372833252, -1.0701863765716553, -0.3875282406806946, 0.1462734341621399, -0.24966828525066376, -0.31865787506103516, -0.361724853515625, -0.2588517963886261, -1.0236144065856934, 1.8898274898529053, -0.2848907709121704, 0.1899893879890442, -0.5120722055435181, 1.403751015663147, 1.0418795347213745, -1.3583441972732544, -1.8554434776306152, -0.12138858437538147, -0.3477734327316284, 0.3719226121902466, 0.8247976303100586, -0.5929144620895386, -0.4002637267112732, -0.21932323276996613, -0.017517512664198875, 0.7093950510025024, 0.42551952600479126, -0.9588593244552612, -0.8101887106895447, -0.34229275584220886, -0.32428374886512756, 0.23702624440193176, 0.7881692051887512, 0.38781073689460754, 0.5981408953666687, 0.44770899415016174, -1.209951400756836, -1.0136315822601318, 1.021909236907959, 0.2605545222759247, -0.05705995485186577, -1.5330209732055664, 0.9812016487121582, -0.2729819416999817, 0.10027863085269928, 1.7932970523834229, 1.2121855020523071, 0.9303734302520752, -0.3368570804595947, -0.997279167175293, -2.554672956466675, 0.6066057085990906, -0.9865606427192688, 0.43265703320503235, 0.018487976863980293, 0.046685874462127686, -0.7384549379348755, -0.24287447333335876, -0.08497630804777145, 0.08942072838544846, 0.3480066955089569, 0.061423275619745255, -0.30562910437583923, -0.3984943628311157, -0.05497552827000618, 0.12225669622421265, -0.8078961968421936, -0.9605036973953247, -0.0006719420198351145, 0.3001345992088318, -0.019276808947324753, -0.4930446743965149, -1.270804524421692, 0.6605377793312073, 0.10227938741445541, -0.5289958119392395, -2.1010496616363525, 1.5945905447006226, -0.034147944301366806, -0.6117299795150757, 0.4891074299812317, -1.5303782224655151, 0.4692402184009552, 0.42941227555274963, -0.045427169650793076, -0.6767483353614807, 0.25766438245773315, 0.10644904524087906, -0.889559268951416, -7.332643032073975, -0.9427021145820618, 0.13137191534042358, -0.10325214266777039, -0.05491416156291962, -0.06810276955366135, 0.1489086151123047, -0.5345984697341919, 0.11428530514240265, 0.18234401941299438, -0.26555365324020386, -0.3215644061565399, -0.7919209003448486, -0.38927119970321655, 1.7996704578399658, -0.6639223098754883, -0.6364863514900208, -1.1646820306777954, 0.49267739057540894, 1.1242640018463135, -0.4240555167198181, 0.5138654112815857, 0.9835443496704102, -0.199453204870224, 0.10688148438930511, -1.0958760976791382, 0.07713346183300018, -0.8124527931213379, 1.038154125213623, 0.11769033968448639, -0.3963742256164551, 0.540263831615448, -0.49066561460494995, 0.6644068360328674, 0.21524031460285187, -0.12538202106952667, 0.18510863184928894, 0.08407560735940933, -0.363646000623703, 0.8083636164665222, -0.1749580204486847, -0.08801744133234024, -1.3789081573486328, -0.10630381852388382, -1.1056724786758423, 1.6565659046173096, -0.3758299648761749, -0.0716870129108429, -0.04155144840478897, -0.14824432134628296, -1.3109017610549927, -0.9899646043777466, 0.3702944219112396, -0.21432876586914062, -0.0049301269464194775, 1.3953526020050049, -0.17298540472984314, -0.7047903537750244, -0.2551422119140625, -0.7029536366462708, -0.5180837512016296, 0.02119072899222374, -0.24524064362049103, 0.06572326272726059, 0.2986072599887848, -0.15906144678592682, -0.7695540189743042, 0.3590390682220459, 0.2541589140892029, -1.193637728691101, 0.6823018193244934, 0.2820320129394531, 0.5856671929359436, -0.7055748701095581, -0.5389909744262695, 0.20222847163677216, -0.204069584608078, 2.0757155418395996, -0.05140247568488121, 1.0017510652542114, -0.08026149123907089, 0.9552667140960693, 0.32196903228759766, 0.41595619916915894, 0.6837674975395203, -1.5520764589309692, 0.4002710282802582, -0.31424450874328613, 1.4177274703979492, -0.528189480304718, 0.43163686990737915, 0.7677863240242004, -0.009835873730480671, -1.4661507606506348, 0.5366196632385254, -0.7029628753662109, 0.6312767267227173, 1.886228084564209, -0.7640708088874817, -1.5359991788864136, -1.3892313241958618, -0.4781908392906189, 0.7190929055213928, 0.36629408597946167, 1.2430992126464844, -0.801645040512085, -0.6196650862693787, -0.18931715190410614, 0.5766730904579163, -1.058917760848999, 0.24350950121879578, 0.9588478803634644, -0.23633229732513428, -0.07196933776140213, -0.5549573302268982, -1.153762936592102, 0.3886529803276062, 0.46876972913742065, -1.4787524938583374, -1.2952117919921875, 0.6172677874565125, -0.7240198254585266, 0.15928862988948822, 0.4492770731449127, 0.4161875545978546, -1.6676639318466187, -0.7604092359542847, 0.06995169073343277, -1.2459986209869385, 0.7245058417320251, -0.37235358357429504, -0.3444901704788208, 2.2866439819335938, 0.17734891176223755, -0.784882128238678, -0.7828071117401123, 0.29080408811569214, -0.5588974356651306, -0.9466708302497864, -0.8463380336761475, -1.239408254623413, -0.05210983008146286, 0.4429883062839508, 0.6922263503074646, 0.7935277819633484, -0.9112410545349121, -0.16923512518405914, -1.479096531867981, -0.6053006649017334, -0.6125084161758423, -0.7125340700149536, 1.8740719556808472, -0.29716694355010986, 0.6378724575042725, -1.1542671918869019, -0.9563232660293579, -0.8921604156494141, -1.3193925619125366, -0.5534564852714539, -0.13040675222873688, 0.2967188060283661, -0.5505870580673218, 0.18537098169326782, 1.3062700033187866, -1.248807668685913, 0.8554163575172424, 0.15038515627384186, -0.07523839175701141, -1.1436622142791748, 0.21745245158672333, -0.03486833721399307, 0.6652678847312927, -0.8433870673179626, -0.457164466381073, 0.4668971300125122, 1.227699875831604, -0.6974853277206421, -0.9909326434135437, 0.06693156808614731, -1.055131196975708, -0.5715611577033997, -0.4637886881828308, -0.0630042552947998, 0.01419774442911148, 0.8120405673980713, 1.3863067626953125, 0.07755182683467865, 0.7728927135467529, -0.1524585336446762, -0.09645166993141174, -0.701819896697998, 0.13648980855941772, -0.07195945084095001, 0.45878639817237854, 0.20736360549926758, -0.572435736656189, 0.15618455410003662, 0.68509840965271, -0.5485777854919434, -1.0900065898895264, 0.09117086976766586, 0.28840190172195435, -0.8280229568481445, -0.5145775079727173, -0.9146825671195984, 0.4816940128803253, -0.04022898152470589, 0.09434438496828079, 0.5758876800537109, -0.9047134518623352, -0.1065203845500946, -0.6258592009544373 ]
185
0704.0187
Gabor Worseck
G. Worseck (1), C. Fechner (2,3), L. Wisotzki (1) and A. Dall'Aglio (1) ((1) Astrophysikalisches Institut Potsdam, (2) Hamburger Sternwarte, (3) Universit\"at Potsdam)
The transverse proximity effect in spectral hardness on the line of sight towards HE 2347-4342
15 pages, 11 figures, accepted by A&A, major revision of Section 5 following the referee's comments
Astron.Astrophys. 473 (2007) 805
10.1051/0004-6361:20077585
null
astro-ph
null
We report the discovery of 14 quasars in the vicinity of HE2347-4342, one of the two quasars whose intergalactic HeII forest has been resolved with FUSE. By analysing the HI and the HeII opacity variations separately, no transverse proximity effect is detected near three foreground quasars of HE2347-4342: QSOJ23503-4328 (z=2.282, $\vartheta=3.59$ arcmin), QSOJ23500-4319 (z=2.302, $\vartheta=8.77$ arcmin) and QSOJ23495-4338 (z=2.690, $\vartheta=16.28$ arcmin). This is primarily due to line contamination and overdensities probably created by large-scale structure. By comparing the HI absorption and the corresponding HeII absorption, we estimated the fluctuating spectral shape of the extragalactic UV radiation field along this line of sight. We find that the UV spectral shape near HE2347-4342 and in the projected vicinity of the three foreground quasars is statistically harder than expected from UV background models dominated by quasars. In addition, we find three highly ionised metal line systems near the quasars. However, they do not yield further constraints on the shape of the ionising field. We conclude that the foreground quasars show a transverse proximity effect that is detectable as a local hardening of the UV radiation field, although the evidence is strongest for QSOJ23495-4338. Thus, the relative spectral hardness traces the proximity effect also in overdense regions prohibiting the traditional detection in the HI forest. Furthermore, we emphasise that softening of quasar radiation by radiative transfer in the intergalactic medium is important to understand the observed spectral shape variations. From the transverse proximity effect of QSOJ23495-4338 we obtain a lower limit on the quasar lifetime of ~25 Myr.
[ { "created": "Mon, 2 Apr 2007 13:31:00 GMT", "version": "v1" }, { "created": "Mon, 6 Aug 2007 13:26:21 GMT", "version": "v2" } ]
2011-11-09
[ [ "Worseck", "G.", "" ], [ "Fechner", "C.", "" ], [ "Wisotzki", "L.", "" ], [ "Dall'Aglio", "A.", "" ] ]
07
[ 0.28423354029655457, 0.6261133551597595, -0.15872424840927124, -0.14837346971035004, -0.34512507915496826, 0.2568901479244232, 0.10780507326126099, 0.7021970748901367, 0.6849793791770935, 0.5671171545982361, -1.1608034372329712, 0.019940804690122604, -0.09421949833631516, 1.2614707946777344, -0.3679348826408386, -0.5898290872573853, -1.9580305814743042, -0.2955215573310852, 0.19452211260795593, 0.10083948075771332, 0.0859333798289299, -0.5961580276489258, -0.06731747090816498, -0.05710562318563461, -0.11881322413682938, -0.4977356791496277, 0.6366193890571594, 0.13154830038547516, -1.1593056917190552, 0.3403557240962982, 0.7357245683670044, -0.7110820412635803, -0.5958386063575745, 0.24987858533859253, -0.3214379847049713, -0.1943708062171936, -0.11184214800596237, -0.4524383842945099, -0.8550771474838257, -0.6174672842025757, -0.11099408566951752, 0.3796602189540863, -0.17224712669849396, 0.4580836296081543, -0.38635796308517456, 0.7210444211959839, -0.6605139374732971, 0.7721207141876221, -0.44220101833343506, -0.16837264597415924, 0.29173046350479126, -1.9800103902816772, -0.367903470993042, 0.0053372918628156185, -1.553109884262085, 0.30425384640693665, 0.7469810247421265, -0.7382765412330627, -0.15760964155197144, -0.264627605676651, 0.19628575444221497, -0.4498899281024933, 0.45235955715179443, -0.9462270736694336, -0.39827266335487366, 0.7215620279312134, -1.220500111579895, -0.6612296104431152, 0.8273012042045593, -0.028127893805503845, -0.779513418674469, -0.4018009305000305, 0.1872001439332962, -1.5075006484985352, 0.46107718348503113, 0.03693201392889023, -1.5002480745315552, 0.4701341688632965, -0.3876957297325134, -0.13676302134990692, 0.031018227338790894, 1.1218429803848267, -0.6497935652732849, -0.5136252045631409, -0.5670632123947144, -1.935727834701538, -0.29435113072395325, 1.4079642295837402, 0.18447135388851166, 0.5481563210487366, 0.250382661819458, -2.3111696243286133, -0.49244269728660583, -0.3725094497203827, 0.5923850536346436, -0.5270763635635376, -0.7466244697570801, -1.5185128450393677, -0.03176891431212425, 1.4920539855957031, 0.01896868646144867, 0.5499541759490967, -0.2165539711713791, -0.5416138768196106, 1.210481882095337, -0.06462141871452332, 0.13140898942947388, -0.7921422719955444, 0.5745103359222412, -1.1397796869277954, -0.3008737862110138, -0.9590481519699097, -0.7099096179008484, 0.14684458076953888, -0.441920667886734, 1.059508204460144, -0.1519974023103714, 0.16969303786754608, 1.047835350036621, -0.25169673562049866, -0.4442499279975891, 0.6268927454948425, -0.8062949180603027, 0.3534075915813446, 0.23077401518821716, 0.3547406792640686, 0.567135214805603, -0.1918424367904663, 0.4783584475517273, -1.8416051864624023, -0.4339221715927124, 0.04558632895350456, -0.5527009963989258, 0.5638894438743591, -0.531606912612915, 1.4695876836776733, -0.9231519103050232, -0.8166195154190063, 0.888931930065155, 0.40939846634864807, -2.0294744968414307, -0.8140640258789062, -0.29095184803009033, 0.4170019328594208, -0.060241103172302246, 0.20922677218914032, 1.358476996421814, -1.7635776996612549, -0.014914250001311302, 0.3845285177230835, 0.21058011054992676, -0.24182197451591492, 0.43837010860443115, 0.11473406851291656, 1.077072024345398, 0.7326804995536804, 0.14265474677085876, 0.8955473899841309, 0.36514562368392944, 1.4109253883361816, 0.2587581276893616, 0.08853507041931152, -0.31385499238967896, 0.8302364945411682, -0.7450684309005737, -0.7575045824050903, -0.03523886203765869, -0.7515679001808167, -0.5093717575073242, -0.16724564135074615, -0.3091758191585541, -1.1975479125976562, -0.23528653383255005, 0.5198928713798523, -0.8918852806091309, -0.016359509900212288, 0.4329427480697632, 0.49811872839927673, 0.4752923548221588, 0.15652407705783844, 1.6860905885696411, -0.8874410390853882, -0.47837913036346436, -0.0846380665898323, 0.16214701533317566, 0.10383883863687515, 0.4241354763507843, -1.2324331998825073, -0.15846025943756104, 1.0727943181991577, -0.6017333269119263, 0.08525729924440384, -1.6703248023986816, -0.4755399227142334, -0.38839292526245117, 0.5723281502723694, 1.2380503416061401, 0.2587360739707947, 1.0969675779342651, 0.009832683950662613, -0.45552313327789307, 0.6875807642936707, -0.18761231005191803, 0.3286784589290619, -0.5898817181587219, -0.05350453034043312, 0.19423529505729675, 2.7993099689483643, 0.8625880479812622, 0.6416733860969543, 0.44077610969543457, 1.2801542282104492, -0.065157949924469, -0.3854469358921051, -0.02946321666240692, 1.0154005289077759, 2.1974849700927734, -1.5088244676589966, -0.39696645736694336, -0.3596973717212677, -0.12525856494903564, 1.1507691144943237, -0.11543352901935577, 0.11195305734872818, -0.308674156665802, 0.8598414063453674, -0.9235221147537231, -0.7035360932350159, -0.09126360714435577, 0.1020657941699028, -0.6221968531608582, 1.3308829069137573, 0.1293386071920395, 0.5623656511306763, 0.4256453812122345, -1.769895076751709, 0.24804668128490448, -0.14981092512607574, 0.6335482001304626, -0.7941685914993286, -0.8730815052986145, 0.6553828716278076, 0.04638580605387688, -0.7770609855651855, -0.20439203083515167, 0.34640803933143616, -0.24488148093223572, 0.5921308994293213, 0.24167785048484802, 0.752582311630249, -1.654121994972229, -0.7273472547531128, 0.20396669209003448, -0.9675467014312744, 0.23275204002857208, 0.10432743281126022, 0.6866161227226257, -0.6469125151634216, -0.655314564704895, -0.35617581009864807, -0.0729425922036171, 0.5083383321762085, -0.42637428641319275, -1.6480331420898438, -0.37763649225234985, -0.18679586052894592, -0.816598653793335, -0.5212101340293884, 0.12297434359788895, -0.13404761254787445, -1.237881064414978, 0.6007879376411438, 2.145115375518799, 0.9073203802108765, 1.4390825033187866, -0.46791693568229675, -0.046235859394073486, 0.22542071342468262, -0.14320814609527588, -0.5227821469306946, 0.07081272453069687, -0.7790285348892212, -0.2726480960845947, 1.1090054512023926, -0.26727068424224854, -0.8397303223609924, 0.6211503148078918, -0.7129358649253845, 0.24048951268196106, 0.8972005248069763, 0.6550888419151306, -0.9441498517990112, -0.530137300491333, -0.17574159801006317, 0.15822337567806244, -0.287027508020401, 0.00925484485924244, -1.4161242246627808, 0.5464163422584534, -0.11220774799585342, -0.8027024269104004, -0.03775912523269653, 0.7524501085281372, -0.32969924807548523, 0.14821596443653107, -0.4361790418624878, -0.38217368721961975, -0.29805657267570496, 0.013570182025432587, 0.09627421945333481, 0.1594400703907013, -0.4944518506526947, -0.19157902896404266, 0.5657732486724854, -0.16294614970684052, -0.2362363189458847, -0.9649949073791504, 0.20680871605873108, -0.19357895851135254, -0.7455742359161377, -0.7276987433433533, 1.0713635683059692, -0.3593381345272064, 0.3708249032497406, 0.18713031709194183, -0.11150526255369186, -0.5946627855300903, -1.0744730234146118, 0.21803896129131317, 1.5227121114730835, 0.7928043603897095, 0.01467187236994505, 0.3773677945137024, 0.15920569002628326, 0.18799033761024475, -0.7866066098213196, -0.3406673073768616, 0.79361891746521, 0.8050500154495239, -0.3811567723751068, -0.004350997041910887, 0.8911646008491516, -0.5436593294143677, 1.6309596300125122, -0.9803356528282166, -0.8273484110832214, -0.48580068349838257, -0.2860089838504791, -0.214169442653656, 0.01301772054284811, 0.19169290363788605, 1.0451900959014893, 0.5082517862319946, -1.8084983825683594, 0.22379261255264282, -0.4309914708137512, 0.5531768202781677, 0.3439212143421173, -1.2159560918807983, -0.7050582766532898, -0.5230953693389893, 0.4456425607204437, 0.9059538841247559, 1.7505970001220703, 0.425154447555542, -0.6394494771957397, -1.0472067594528198, -0.4684355854988098, -0.4185594618320465, 0.18669486045837402, -0.40925973653793335, 0.1186520978808403, 0.2717994749546051, -0.04726565629243851, 0.840344250202179, -2.0017240047454834, 1.5814560651779175, -0.16503757238388062, -0.4033166468143463, -0.5284801721572876, 0.5339980721473694, -0.3124943673610687, 0.8957631587982178, 1.47797691822052, -0.20356464385986328, 0.009798708371818066, -2.1079976558685303, 1.8664147853851318, 0.2886947989463806, 0.022745251655578613, -0.16397835314273834, -0.28687888383865356, 0.6244471073150635, -0.017744945362210274, 0.27255186438560486, 1.448025107383728, -0.8428887128829956, 0.16825993359088898, 0.3592427670955658, -1.0679705142974854, -0.22721824049949646, -1.063908576965332, 0.5509359240531921, -0.678611695766449, -0.4583059549331665, -1.395630121231079, 0.6925173997879028, -0.9658002257347107, -0.9828723669052124, -0.6730130314826965, -0.00647405069321394, 0.9583355784416199, 0.14952771365642548, 0.36766329407691956, 0.6310470700263977, -0.49226686358451843, -0.5887090563774109, -1.348831295967102, -0.5756013989448547, 0.8263818025588989, 0.1512734740972519, -0.9934795498847961, -0.07975412905216217, -0.5242053270339966, 1.9323958158493042, -0.8251423835754395, -0.4417645037174225, -0.21835102140903473, 0.10291416198015213, -0.18658342957496643, 0.24848636984825134, 0.41210776567459106, 0.028753483667969704, 0.5067734122276306, -0.0006959919119253755, -0.93915194272995, -0.7126286625862122, -0.18983657658100128, -0.4893660247325897, -0.38190990686416626, 0.059986412525177, -0.34197309613227844, 0.12816715240478516, -0.0906568318605423, -0.3777244985103607, 0.6959113478660583, 1.3981337547302246, 1.8193156719207764, -0.786917507648468, 1.384392261505127, -0.35951802134513855, 0.4390377104282379, 0.6141296625137329, 1.0535290241241455, -0.5151870846748352, 1.6048376560211182, -1.4122545719146729, -1.1127818822860718, -0.01722210831940174, -0.4058252274990082, -0.010895766317844391, -0.32031139731407166, -0.7660016417503357, -0.3810983896255493, -0.24150757491588593, 0.354621022939682, 0.45192673802375793, -0.38226860761642456, -1.2091734409332275, 0.2614717185497284, 0.7009839415550232, -0.330146849155426, -1.0573670864105225, -0.24099770188331604, -0.47474393248558044, -0.30348581075668335, -0.055855147540569305, 0.989812433719635, 1.007561445236206, 0.20401938259601593, 0.6238625645637512, -0.7536067366600037, 0.48457109928131104, -0.5611696839332581, -0.010318504646420479, -0.17272476851940155, 0.5215749740600586, 0.0505317747592926, 0.4462032616138458, -0.68089759349823, -0.5447118878364563, 1.3536165952682495, -0.06210939213633537, -1.0639294385910034, 0.4044821560382843, 0.9007343053817749, -0.01622907631099224, -0.5853519439697266, 0.12075694650411606, -0.29635825753211975, -0.11138799041509628, -0.082120381295681, 0.06251992285251617, -0.3982512950897217, -1.3071796894073486, 0.04929300770163536, -1.0053259134292603, 0.3399437367916107, -1.093492031097412, 0.912383496761322, 0.1945374310016632, 0.9100727438926697, 0.46491485834121704, -0.17529064416885376, 0.18482056260108948, -0.7682180404663086, -0.3369864523410797, -2.499526262283325, 1.6803721189498901, -1.4185340404510498, 0.5186933875083923, -1.222700595855713, -0.2227826714515686, 0.36704179644584656, 0.1977623999118805, 0.5358462333679199, -0.002065931912511587, -1.053956151008606, -0.3746025860309601, 1.0967068672180176, 0.4419125020503998, 1.5028753280639648, -0.582825779914856, 0.3508390486240387, 0.026480266824364662, 0.05627714842557907, -0.43255752325057983, 0.17075496912002563, 0.49419283866882324, 1.1470885276794434, -0.5413769483566284, -0.4517195224761963, -0.2150748074054718, 0.07086832821369171, 0.1597294807434082, -0.18272368609905243, -0.1301240772008896, 0.32491669058799744, -0.023932423442602158, -1.3020141124725342, 0.046397991478443146, -0.26406213641166687, -0.5860491394996643, 0.6039544343948364, -0.27693212032318115, -0.930172860622406, -7.434260845184326, -0.3593195974826813, 0.15643960237503052, -0.8331617712974548, 0.2025536745786667, 0.02447279542684555, -0.5308046340942383, 0.04088076576590538, 0.2222094088792801, 0.2254442572593689, -0.028785236179828644, -0.38001975417137146, 0.004915910307317972, -0.0244368277490139, -0.24201878905296326, -0.29116061329841614, 0.6987795829772949, -0.44843292236328125, -0.11861561983823776, 1.0250341892242432, -0.17412947118282318, 0.7930110692977905, 0.45013678073883057, -0.2597917318344116, 1.1529048681259155, -0.4491111636161804, -0.22495467960834503, 0.6226824522018433, -0.05424310639500618, 0.29766732454299927, 1.182167649269104, 1.309277057647705, -0.9760938286781311, -0.19775880873203278, 1.3366597890853882, 0.9622834920883179, -0.38507768511772156, 0.9472246170043945, 0.9145948886871338, 0.35008060932159424, 0.029898079112172127, 0.9620351791381836, 0.6896954774856567, -0.6039562821388245, -0.3391042947769165, 0.2617783546447754, 0.026648808270692825, 0.18846626579761505, 0.8006409406661987, -0.5782950520515442, -0.14583493769168854, -2.4291181564331055, 0.4011082947254181, -0.3755117654800415, 0.3175399899482727, -0.5666561722755432, 0.2542925477027893, -0.2726154923439026, 1.0413227081298828, 1.0830645561218262, 0.34003156423568726, 0.003374931402504444, -0.21383464336395264, 0.5154101252555847, 0.45227664709091187, -0.004001419525593519, 0.740125298500061, -0.502907395362854, 0.019548363983631134, 2.0713093280792236, 0.04503447934985161, 0.15172317624092102, -0.9884940981864929, -0.1443813294172287, 0.27285951375961304, -0.21035820245742798, -0.5641148686408997, -0.029126916080713272, -0.47911348938941956, -0.8920751214027405, 1.7495219707489014, 0.6867878437042236, -0.7023932337760925, -0.3059830963611603, -0.8451776504516602, 0.21156075596809387, 0.2890830338001251, -0.878204345703125, -1.056338906288147, -1.9108656644821167, -0.24033832550048828, 0.6327268481254578, -0.3730652630329132, 0.38107746839523315, 0.8170862793922424, -0.3700254261493683, -0.3904919922351837, -0.5684278607368469, 0.18782956898212433, -0.05945752561092377, 1.3977893590927124, 0.5968076586723328, 0.436911016702652, -0.06973681598901749, 0.14584459364414215, 0.08983149379491806, 0.5250028967857361, -1.1761655807495117, -0.10149542987346649, 0.6556923389434814, -1.5891963243484497, -1.3301857709884644, 0.24426205456256866, 0.9011641144752502, -0.4741833209991455, -0.2295651137828827, -0.35094407200813293, -0.3540216088294983, 0.9302080869674683, -0.5432838201522827, -0.0755748450756073, -0.10636816918849945, -1.651802897453308, -1.4862117767333984, 0.7332338690757751, 0.2541802227497101, -0.2969285547733307, 1.0099552869796753, -0.5784447193145752, 0.30097582936286926, -1.950341820716858, -0.09298459440469742, 0.2679325044155121, -0.46273189783096313, -0.005991133861243725, 0.5188693404197693, 1.143708348274231, -0.692424476146698, 0.3299635946750641, -0.06312843412160873, 0.5615311861038208, -0.7403408288955688, 0.4217830002307892, -1.404345154762268, -0.113557830452919, -0.7884879112243652, -1.146531581878662, 0.45805490016937256, -0.5498661398887634, -1.1186854839324951, 1.5881373882293701, -0.6782882809638977, 0.30462610721588135, 0.41671910881996155, -0.11850519478321075, -0.3003670275211334, 0.45356234908103943, 0.2833915650844574, -0.5055904388427734, -0.12096598744392395, 0.27504315972328186, -0.7205350399017334, 1.2626069784164429, -0.41131681203842163, -0.679210901260376, -0.2154923379421234, 0.6292739510536194, 0.5220519304275513, -1.1835582256317139, 0.9575357437133789, -0.5242378115653992, -0.5271074175834656, -0.5898076295852661, -1.06967294216156, 0.6872652769088745, -0.5808570981025696, 0.1581103801727295, -1.4858899116516113, -0.2019033133983612, 0.3383835256099701, 0.8951514959335327, -0.6992432475090027, 0.07771884649991989, 0.8658595085144043, -1.1695032119750977, 0.8730125427246094, -0.044948797672986984, -0.14503149688243866, -0.6761561036109924, -0.3829396665096283, 1.085249900817871, 0.5618546605110168, -0.8375803828239441, -0.06726370006799698, -0.7206180691719055, -0.6711242198944092, 0.75935298204422, 0.027812102809548378, -0.4000324308872223, 0.6863880157470703, 0.18692448735237122, 0.6287682056427002, 0.052976109087467194, 0.1258554756641388, 0.3881867825984955, -0.37994274497032166, -0.1551671028137207, -0.07226002216339111, 0.4171947240829468, -0.3684957027435303, 0.6651736497879028, 0.7294531464576721 ]
186
0704.0188
Tanya Elliott
Tanya M Elliott and John F Wheater
Biased random walks on combs
minor changes in technical definitions
J. Phys. A: Math. Theor. 40 (2007) 8265-8288.
10.1088/1751-8113/40/29/005
Oxford University Preprint OUTP-07-04P
cond-mat.other
null
We develop rigorous, analytic techniques to study the behaviour of biased random walks on combs. This enables us to calculate exactly the spectral dimension of random comb ensembles for any bias scenario in the teeth or spine. Two specific examples of random comb ensembles are discussed; the random comb with nonzero probability of an infinitely long tooth at each vertex on the spine and the random comb with a power law distribution of tooth lengths. We also analyze transport properties along the spine for these probability measures.
[ { "created": "Mon, 2 Apr 2007 13:31:16 GMT", "version": "v1" }, { "created": "Fri, 11 May 2007 07:47:55 GMT", "version": "v2" } ]
2009-11-13
[ [ "Elliott", "Tanya M", "" ], [ "Wheater", "John F", "" ] ]
07
[ -0.6431756019592285, -0.8960228562355042, 1.0369356870651245, 0.24049977958202362, 0.4835493862628937, -0.09258114546537399, 1.002332329750061, 0.7471945285797119, 1.1302913427352905, -0.16865547001361847, -0.13688194751739502, 0.07925160229206085, 0.3797719180583954, 0.3765347898006439, -0.8009366393089294, -0.17054982483386993, 0.12456706911325455, 0.09212350100278854, -1.6290984153747559, -0.6990190744400024, 0.09254828095436096, -1.588782548904419, -0.11495642364025116, -0.5045563578605652, 0.2945239245891571, 0.1250183880329132, -1.0176483392715454, 0.9621323943138123, -0.6642939448356628, 0.9595686197280884, 1.0459840297698975, 0.2879621982574463, 0.513320803642273, -0.4465630054473877, 0.09569268673658371, 0.08708090335130692, 1.15520441532135, 0.37381720542907715, 0.09714113175868988, 0.5380683541297913, -1.068650484085083, -0.44817501306533813, -0.7984501123428345, -0.10122235119342804, -0.7663220167160034, 1.5977122783660889, 0.4143960475921631, -1.6645441055297852, 1.180959939956665, 1.1798454523086548, 0.625357449054718, 0.09608035534620285, 0.42493367195129395, -0.6447134613990784, 0.530750572681427, 0.038769904524087906, -1.0831611156463623, -0.700373113155365, 1.5595988035202026, -0.6002671122550964, 0.3179730772972107, 0.8689556121826172, -0.23107042908668518, -0.7008203268051147, -0.9869817495346069, -0.1647123098373413, 1.1426163911819458, 1.056514024734497, 0.9144884943962097, -1.0724388360977173, 0.32891398668289185, -0.1384051889181137, 0.16476577520370483, -0.4721980094909668, -0.3238915503025055, -0.2871973514556885, -0.403563529253006, -0.5356907844543457, 0.9182451963424683, 0.037691984325647354, -0.07858311384916306, 0.11450331658124924, -0.7660853862762451, -0.4196074306964874, -0.4410945475101471, -0.34217625856399536, 0.7902466058731079, -0.7380034327507019, -0.014298059046268463, 0.4680916368961334, 0.7271851301193237, -1.1065641641616821, 0.3415587842464447, 0.15785914659500122, 0.8007975816726685, -0.49222278594970703, -0.7496314644813538, -0.005393820349127054, -0.017842166125774384, 0.7165055871009827, 0.7015032768249512, -0.9372587203979492, -0.41209959983825684, -1.1294519901275635, 0.40844932198524475, 0.9034663438796997, 0.5271130800247192, 0.20121821761131287, -0.10539773106575012, 0.217935711145401, 0.10981753468513489, -0.9579806327819824, -0.047087930142879486, 0.994918942451477, -0.7190519571304321, 0.7760565876960754, 0.019213564693927765, 0.5210537910461426, -0.8874635696411133, -1.5080933570861816, -0.42036834359169006, 0.7697119116783142, -0.28262025117874146, -0.20671649277210236, 0.3529062867164612, 0.6649776101112366, -0.3411668837070465, -0.5461575984954834, -1.1463733911514282, 0.5172707438468933, -0.28862783312797546, 0.6782131791114807, -0.5925044417381287, -1.055391788482666, 0.705227792263031, 0.7576537132263184, -0.4667935371398926, -0.1722339391708374, 0.03484974056482315, -0.39892861247062683, 0.59727543592453, 0.7917094826698303, -0.6494324207305908, -0.5875887870788574, 0.10632960498332977, -1.9090458154678345, 0.24434155225753784, -0.598447322845459, 0.5999184846878052, -0.05544230714440346, -0.4862745702266693, -0.14607837796211243, -0.13411545753479004, 0.08675823360681534, 0.3945046663284302, 1.086167335510254, -0.31238287687301636, 0.6361693143844604, 0.17072603106498718, -0.45622944831848145, 1.0051547288894653, -0.8977102637290955, 1.3216071128845215, -1.364881157875061, -0.2482202798128128, -0.5998865962028503, -1.2175337076187134, 0.20359580218791962, -1.0248734951019287, -0.7182931900024414, 0.8845022916793823, 0.24501851201057434, 0.1934661716222763, -0.16647282242774963, -0.5299434065818787, -0.22081232070922852, 0.19375379383563995, 0.8896650671958923, -0.16783840954303741, -0.12423579394817352, 0.4704654812812805, -0.5286291241645813, -1.1034221649169922, 1.1940845251083374, -0.16920340061187744, -1.032530426979065, -0.14201581478118896, -1.4205455780029297, 0.36684808135032654, 0.4116537868976593, -0.7616369128227234, 0.042773306369781494, -1.678371787071228, 1.1310101747512817, -1.2860329151153564, 0.31973448395729065, -1.1238963603973389, 0.6930619478225708, -1.9384409189224243, 0.9469619393348694, -0.21515648066997528, 0.6686463356018066, -0.33397480845451355, 0.15250249207019806, -1.1405969858169556, -0.7097480297088623, -0.537964403629303, -0.35220807790756226, -1.2410300970077515, 1.4434466361999512, 0.6322799921035767, 0.4970493018627167, 0.16228048503398895, 0.09857789427042007, 0.3644172251224518, 0.6802063584327698, 1.0137205123901367, -1.154390573501587, -0.4318062961101532, 0.10255278646945953, 0.11342645436525345, 0.019431982189416885, 0.45458126068115234, 0.4284190535545349, -0.16968654096126556, -0.8496119976043701, 0.866875410079956, 0.35043129324913025, -0.4126761257648468, -1.6832374334335327, 0.38305655121803284, -1.0499151945114136, 0.13452312350273132, 0.31462007761001587, 1.075261116027832, -0.49325260519981384, -1.05668306350708, -0.9514898657798767, -0.05135355144739151, -0.3952957093715668, -0.22408339381217957, -0.09787654131650925, 0.15497802197933197, 0.6483293175697327, -0.5477516651153564, 0.7530068755149841, 0.06651478260755539, -0.3027723431587219, -0.10744112730026245, -0.4598677456378937, -1.0078158378601074, -0.06804287433624268, 0.955223798751831, -0.5253732800483704, 0.07374527305364609, -0.0014210866065695882, 0.1772831678390503, -0.864778459072113, -0.3950733542442322, 0.8076952695846558, 1.0073541402816772, -0.4587551951408386, 1.2313125133514404, 0.588821291923523, 0.6914052963256836, -0.5284847021102905, -0.3467186987400055, -0.200210839509964, -0.21559269726276398, 1.099290370941162, -0.056339941918849945, -0.8426409363746643, -1.6525973081588745, -0.44099676609039307, -1.049453616142273, -0.6254714131355286, 0.24198022484779358, -0.753646731376648, 0.49876827001571655, -1.5790038108825684, 0.7455376386642456, -0.7509340643882751, -0.09314628690481186, -1.0400134325027466, 0.2252265214920044, -0.1413714438676834, -0.29550957679748535, 0.31035101413726807, 0.2773793935775757, 1.4036808013916016, -1.6189779043197632, 0.9248487949371338, 0.9047495722770691, 0.7908836603164673, 0.8610680103302002, -0.573323130607605, 0.06843829900026321, 0.4460891783237457, 1.3222718238830566, -0.7543134093284607, -1.2048159837722778, 0.030697893351316452, 0.42812737822532654, 0.16630418598651886, 1.2617298364639282, -0.795194149017334, -0.18395620584487915, -0.10355772078037262, 0.5155165791511536, -0.7845531105995178, 0.4627830386161804, 1.4551693201065063, 0.515401303768158, -1.4244120121002197, 0.8076677918434143, -0.6135451197624207, 0.20442599058151245, -0.5405866503715515, -0.4833400845527649, 0.6242873072624207, 0.20166513323783875, -0.22452911734580994, 0.34848299622535706, 1.1646935939788818, -0.2650154232978821, -0.34102118015289307, 0.6376926898956299, -0.7717792391777039, -0.457174688577652, -0.5342516303062439, 0.47485876083374023, -0.375080406665802, -0.06130407750606537, 0.4785172939300537, 0.40171492099761963, 0.341422438621521, -0.004435922019183636, -0.039176397025585175, 0.5322701334953308, -0.5956645011901855, 0.17371827363967896, -0.14669819176197052, 0.2582109868526459, -0.1842275857925415, 0.5673791766166687, 0.09740114212036133, -0.22925707697868347, 0.4415002167224884, -1.0754834413528442, -0.30902040004730225, -0.9815579652786255, -0.45524081587791443, -0.29717347025871277, -1.3914247751235962, 0.02710835076868534, -0.20529888570308685, 0.7576215863227844, 1.6222211122512817, 0.31007540225982666, -1.2337591648101807, -0.060140445828437805, 0.5787830352783203, 0.48922839760780334, -0.5711069703102112, 0.7724238634109497, -0.24623198807239532, -0.7342442870140076, -0.7291140556335449, -0.7078505158424377, 0.17227238416671753, 0.2579180896282196, 0.30800971388816833, -0.7504470348358154, 0.11279230564832687, -0.5673330426216125, -0.1877259463071823, 0.13044342398643494, 0.47564876079559326, 0.7746367454528809, -0.23689310252666473, -2.145869255065918, -0.41150185465812683, -0.43361738324165344, -0.46222999691963196, 0.2709183692932129, 0.0386500209569931, -0.18475450575351715, 0.5063924193382263, -0.29341408610343933, 0.49724912643432617, -1.156591773033142, 0.01471718680113554, 0.531264066696167, -0.3859175145626068, -0.47072359919548035, -0.8922047019004822, 0.0878276452422142, 0.5247814655303955, 0.013006803579628468, 0.6362886428833008, -1.1813936233520508, 0.4671218991279602, -1.2813931703567505, -0.24839696288108826, -1.0724639892578125, -0.2877182066440582, -0.6430206298828125, -0.8047525882720947, 0.16216827929019928, -0.7620239853858948, -0.009617583826184273, -0.09309256076812744, 0.8156061172485352, -0.16549579799175262, 0.5275350213050842, -0.16985301673412323, -0.42658358812332153, -0.5327571034431458, 0.0033137770369648933, 1.0565327405929565, -0.4565574526786804, -0.5149103999137878, 0.5212125778198242, 2.966196060180664, -0.4211481809616089, -0.4287039041519165, -0.403114914894104, 0.027098126709461212, -0.533065140247345, -0.7579271793365479, -0.098689503967762, 0.34517690539360046, 0.6006637215614319, -0.28550463914871216, -0.3485513925552368, 0.2503949701786041, 0.10366977751255035, -1.0628751516342163, 0.6262462735176086, 0.18464016914367676, -0.405208021402359, 1.7828471660614014, -0.550769031047821, -0.3266046643257141, 1.7410342693328857, -0.8690442442893982, -0.04853369668126106, 1.546533465385437, -1.1956185102462769, -1.6210992336273193, 0.8116161227226257, 1.026136875152588, -0.9610568284988403, 0.7034975290298462, 0.42786291241645813, -0.6874914169311523, 0.5767499804496765, -0.5343856811523438, -0.23432767391204834, -0.19241675734519958, -0.8310613632202148, -0.7098395824432373, -0.3688673675060272, -0.5183703303337097, -0.8011400103569031, -0.023653527721762657, -0.4864015579223633, 0.38504332304000854, -0.20879986882209778, 0.051261935383081436, -0.3130330741405487, -0.058025140315294266, -0.09324681013822556, -0.9753923416137695, 1.0267360210418701, 0.0607730969786644, -0.019870704039931297, 0.4509281516075134, 0.23584774136543274, 0.24456700682640076, -0.09710776805877686, -0.033699825406074524, 1.2522566318511963, -0.47160983085632324, 0.2336634248495102, -0.30151066184043884, -0.39152413606643677, -0.057684384286403656, -0.18999382853507996, 0.16032053530216217, -1.5470142364501953, 0.31834539771080017, -0.31828388571739197, -0.47282546758651733, -0.4260415732860565, 0.2057807594537735, 1.403327226638794, 0.6095796823501587, -0.006688127759844065, -0.3024129867553711, 0.3119853734970093, 0.12465696781873703, -1.4862546920776367, -0.9324788451194763, -0.2954269349575043, 0.4857400357723236, -0.17594918608665466, 0.9627878665924072, 0.7473124265670776, 1.7907849550247192, -0.2110203206539154, -0.9381688237190247, 0.6642795205116272, 0.3250509202480316, 0.9044012427330017, 0.01281708013266325, -0.522310197353363, -3.031157970428467, 0.46578866243362427, 0.7164525985717773, -0.36894452571868896, 0.031093424186110497, 0.35479018092155457, -1.191999912261963, 0.29834312200546265, 0.29659804701805115, 0.7166920900344849, -1.778875708580017, -0.7179404497146606, 0.2861447036266327, 0.30689141154289246, -0.06110570207238197, -0.01061626709997654, 0.17329412698745728, -0.9083197116851807, -0.8582850098609924, -0.6983776688575745, 0.8620191216468811, -0.5289195775985718, -0.3007209897041321, -0.10424034297466278, -1.3110754489898682, -1.224467158317566, 0.936078667640686, -0.8489211201667786, -1.0705450773239136, 1.7844467163085938, -0.855180025100708, 0.8766661286354065, -0.16328898072242737, -0.9854251742362976, -0.14500238001346588, -0.2581905722618103, -0.10146702080965042, 0.4268616735935211, 0.25936710834503174, -7.84555196762085, 0.17423127591609955, -0.5748340487480164, 0.2530960440635681, 0.4863026440143585, 0.19319292902946472, -0.366183876991272, -0.2721078395843506, 0.21120509505271912, 1.1670135259628296, 1.2917271852493286, 0.6326224207878113, -1.5022493600845337, -0.5202190279960632, 0.2901607155799866, -0.7566708326339722, 1.1926811933517456, -0.1886170357465744, -1.4329792261123657, 0.8126040697097778, -1.3809572458267212, 0.16143524646759033, 0.10614318400621414, -1.5655534267425537, 1.2875453233718872, 0.18593542277812958, -0.4503985643386841, -0.24925538897514343, -0.8666719794273376, 0.18194487690925598, 0.07506195455789566, 0.7637904286384583, 0.2351006418466568, 0.41648203134536743, -1.141287088394165, -0.7746552228927612, 0.23328804969787598, 1.27885103225708, 0.962776780128479, -0.6821971535682678, 0.10263991355895996, -1.3632041215896606, 0.7950693964958191, -0.08551459014415741, 0.9462080597877502, 0.20965972542762756, -0.12993988394737244, -0.4490801692008972, 0.32920289039611816, 0.3002139627933502, 0.1935240477323532, 0.121925488114357, 1.3044979572296143, 1.9521256685256958, 0.16440275311470032, 0.3543110489845276, -0.5355007648468018, -0.09199835360050201, 0.19904375076293945, -0.12580396234989166, 0.937776505947113, 0.06705257296562195, 0.33899325132369995, 0.35001546144485474, -1.5541739463806152, -1.3589208126068115, -0.19382533431053162, -0.13997244834899902, 0.21346333622932434, 0.860456109046936, 0.2361508011817932, -1.4577223062515259, -0.19960619509220123, 0.264421671628952, 0.09027400612831116, -0.5973377823829651, 0.3752610385417938, -0.6206952333450317, 1.7442805767059326, 0.9822158217430115, 0.47806623578071594, 0.33042556047439575, -0.9760290384292603, 1.7234926223754883, -0.6086129546165466, -0.2363789975643158, 0.28542405366897583, 1.2145028114318848, -0.44200071692466736, -0.4878235161304474, 0.3758191466331482, 0.7773334980010986, -0.18177904188632965, 0.807426393032074, 0.21816912293434143, 0.005990684498101473, 0.5835254192352295, -0.5783355236053467, -0.4146662652492523, -0.2817102372646332, 0.12520931661128998, -0.22475023567676544, 0.19933468103408813, 0.5589627623558044, 0.5249297618865967, 2.1051745414733887, 0.4491383135318756, -0.3351111114025116, 1.0126630067825317, 0.697168231010437, -0.11681889742612839, 0.21404355764389038, -0.6583157777786255, 0.3993739187717438, -0.33048054575920105, 0.414608359336853, 0.30805882811546326, 0.5103968977928162, -1.585342288017273, 0.21307386457920074, 0.4688929617404938, -0.9952634572982788, -1.3164653778076172, 0.18051159381866455, 0.04342825710773468, -0.8852463960647583, 0.21714647114276886, -0.7511250376701355, 0.5199512839317322, 0.22053733468055725, -0.5178354978561401, -1.214394211769104, 0.23758938908576965, 0.2188464254140854, -0.10622356832027435, 0.07859256863594055, 0.13213971257209778, -0.200918048620224, -0.07718447595834732, -0.23341652750968933, -0.06004760041832924, -0.2112940102815628, -0.7959868907928467, 0.5695393681526184, -0.726371705532074, -0.4477364122867584, -0.48385846614837646, 0.48586568236351013, -0.5574687719345093, -0.4060049057006836, -0.609403669834137, -0.28979235887527466, 0.6246479749679565, -0.6759640574455261, 0.7253073453903198, 0.09412054717540741, 0.36281993985176086, -0.5506030917167664, -0.3376002609729767, -0.162406325340271, 1.5212738513946533, -0.057823795825242996, 1.1166354417800903, 0.5359810590744019, -0.04331477731466293, -0.22497773170471191, 0.6515392661094666, 1.126908540725708, -0.27505922317504883, -0.0023100832477211952, 0.85161954164505, -0.7898572683334351, -0.01956150494515896, -0.2657584547996521, 0.22717973589897156, 0.3821553885936737, 0.1729455292224884, 0.5091503262519836, -0.4188649654388428, -0.612858772277832, -2.1029417514801025, -0.2617199420928955, -0.01588098146021366, 0.8302991390228271, -0.7847660779953003, -0.20979708433151245, -0.915008008480072, 0.3814072906970978, -1.0291709899902344, 0.7719672918319702, 0.2261766791343689, -0.7849200963973999, 0.3978530168533325, 0.6361860036849976, -0.9652499556541443, 0.17797720432281494, -0.41571393609046936, 0.1618984490633011, 0.31162896752357483, -0.16996154189109802, -0.29655808210372925, 1.1153210401535034, 0.7339035272598267, -0.06155651435256004, -0.7609149813652039, -0.3884959816932678, 0.059594277292490005, 1.2163280248641968, -1.6278748512268066, -0.1522437036037445, -0.5528773665428162, -0.09979311376810074 ]
187
0704.0189
Jean-Camille Birget
J. C. Birget
Monoid generalizations of the Richard Thompson groups
31 pages
J. of Pure and Applied Algebra, 213(2) (Feb. 2009) 264-278
null
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The groups G_{k,1} of Richard Thompson and Graham Higman can be generalized in a natural way to monoids, that we call M_{k,1}, and to inverse monoids, called Inv_{k,1}; this is done by simply generalizing bijections to partial functions or partial injective functions. The monoids M_{k,1} have connections with circuit complexity (studied in another paper). Here we prove that M_{k,1} and Inv_{k,1} are congruence-simple for all k. Their Green relations J and D are characterized: M_{k,1} and Inv_{k,1} are J-0-simple, and they have k-1 non-zero D-classes. They are submonoids of the multiplicative part of the Cuntz algebra O_k. They are finitely generated, and their word problem over any finite generating set is in P. Their word problem is coNP-complete over certain infinite generating sets. Changes in this version: Section 4 has been thoroughly revised, and errors have been corrected; however, the main results of Section 4 do not change. Sections 1, 2, and 3 are unchanged, except for the proof of Theorem 2.3, which was incomplete; a complete proof was published in the Appendix of reference [6], and is also given here.
[ { "created": "Mon, 2 Apr 2007 13:34:02 GMT", "version": "v1" }, { "created": "Mon, 28 Apr 2008 19:23:20 GMT", "version": "v2" }, { "created": "Tue, 26 Jan 2016 14:05:55 GMT", "version": "v3" } ]
2016-01-27
[ [ "Birget", "J. C.", "" ] ]
07
[ 0.4849677085876465, -0.5807668566703796, 0.15285107493400574, -0.9967963099479675, 1.7580329179763794, -0.2964572310447693, -1.1703031063079834, -0.1931167095899582, -1.1481775045394897, -0.6574846506118774, 0.5359634757041931, -0.6805520057678223, 0.018237439915537834, 0.09091315418481827, 0.8300132751464844, -1.2615407705307007, 0.7329645752906799, -0.567048966884613, -1.9282203912734985, -2.2886016368865967, 0.3261280059814453, -0.4149424731731415, -0.15216903388500214, 0.23090429604053497, -0.10529367625713348, 0.43121516704559326, -0.06906924396753311, 0.47451555728912354, -1.166622519493103, -0.858583927154541, -0.145761176943779, -0.43082109093666077, -0.8309777975082397, 0.2508411705493927, 1.171571969985962, -0.48635217547416687, -0.14674118161201477, 0.27145588397979736, -0.7598270773887634, 0.15056359767913818, 0.27082765102386475, -0.24118290841579437, -0.34843122959136963, -0.8043668270111084, 0.2474999576807022, -0.1120145171880722, 0.8641170263290405, -1.1375070810317993, 0.040373846888542175, 1.620167851448059, 0.4973580539226532, -0.006964619737118483, -0.07732199132442474, -0.3302874267101288, -0.2661951184272766, -0.13804462552070618, 1.4586766958236694, -0.6600185632705688, -0.7125164866447449, 0.13258174061775208, -0.677556574344635, 0.4882574677467346, -0.042772360146045685, 0.9410896301269531, -0.6894075274467468, -0.039657268673181534, -1.308221459388733, -0.6981550455093384, 0.7042781114578247, 0.4719465970993042, 0.811001181602478, 0.24103760719299316, 0.20959819853305817, -0.3990379273891449, 0.5322552919387817, 1.0373871326446533, -0.019718630239367485, 0.5406686067581177, -0.14003273844718933, 0.4652882218360901, -0.4090055525302887, 1.0257374048233032, -1.2881618738174438, -0.15202492475509644, 0.2674662172794342, 0.6208093166351318, 0.27446576952934265, 0.15282182395458221, 0.26590585708618164, 0.9569456577301025, 0.6532381772994995, -0.08008866012096405, -0.017088618129491806, -1.693657398223877, 0.21247074007987976, -1.5653249025344849, -0.013777604326605797, -0.06064866483211517, -0.0860428586602211, -1.1353145837783813, -0.29732221364974976, -0.09760826826095581, -0.059042394161224365, -0.00532520143315196, -0.6571772694587708, 0.08773884922266006, 0.04586585611104965, 0.18088030815124512, 1.487080693244934, 0.13053832948207855, 0.6179937720298767, 0.0622711181640625, -1.328728199005127, 0.49079257249832153, -1.9612993001937866, 1.8991657495498657, 0.08906256407499313, -0.25693652033805847, 0.07720013707876205, -0.24335959553718567, -0.2447645664215088, 0.8356608152389526, 0.191162109375, 0.13577847182750702, -0.6678895354270935, 0.41251230239868164, -0.23543788492679596, -0.1586843878030777, 0.6113314032554626, -0.32523682713508606, -0.4905740022659302, -0.1481448858976364, 0.0169448833912611, -1.4271023273468018, -0.8147811889648438, 0.6002980470657349, 1.3150047063827515, -1.2864885330200195, -0.9201220273971558, 0.5576614737510681, 0.43594586849212646, -0.09235280752182007, -0.5062621235847473, -0.45998474955558777, 1.8628308773040771, -0.9827672839164734, -0.8899725079536438, -0.06925840675830841, 0.2316688895225525, 0.30601799488067627, 0.36782118678092957, 1.0714679956436157, -0.653725266456604, 0.9649232625961304, 0.3047613203525543, 0.4808447062969208, -0.29672834277153015, 1.0306382179260254, -1.6005475521087646, -0.2036285400390625, -0.5064185261726379, -0.5084332823753357, 0.4710470139980316, -0.7043042182922363, -0.7198051810264587, -0.42400234937667847, -0.022789737209677696, -1.0967278480529785, -1.6357927322387695, 0.07139333337545395, 1.8717204332351685, 0.5147733092308044, 0.22938433289527893, 0.6244754195213318, 0.6615921854972839, 0.9767249226570129, -0.7448381781578064, -1.0814168453216553, 0.5930114388465881, 0.40041983127593994, -0.45532336831092834, 0.5269876718521118, 0.9578251242637634, 0.24053190648555756, 0.4488101303577423, -0.38237476348876953, 0.38676586747169495, -0.4989283084869385, -0.05947991460561752, -0.5863357782363892, -2.5724375247955322, -1.1143076419830322, -0.9015292525291443, 0.14126260578632355, -0.4031810164451599, -0.3106893301010132, -0.5496587157249451, 0.6830713152885437, -0.7641474008560181, -0.6790648102760315, -0.03820181265473366, 0.17013171315193176, -0.2385084629058838, -0.5269985198974609, -0.27245593070983887, 1.0257757902145386, 0.8641865253448486, -0.46837323904037476, 0.07196282595396042, -0.09428592026233673, 0.9833812117576599, 1.278936505317688, -0.09749646484851837, 0.6110283136367798, -0.1286497414112091, -0.8489130139350891, -0.4271758198738098, -0.2159007340669632, 0.33994048833847046, 1.033286690711975, -0.37802189588546753, 0.2533577084541321, -0.28948819637298584, -0.06311644613742828, 0.019657138735055923, -0.42404505610466003, 1.32618248462677, 0.26857882738113403, -0.31276074051856995, -0.5447739362716675, 0.5010668039321899, 0.15824773907661438, -0.09543611109256744, -0.530190646648407, -0.21511858701705933, 0.29330208897590637, -0.7530913949012756, -0.5373979210853577, 0.20888744294643402, 0.8050206899642944, -0.6017763018608093, -0.27430176734924316, -0.6470306515693665, -1.6661397218704224, -0.15691396594047546, -0.31254613399505615, 0.32193198800086975, 0.01118667982518673, -0.5207763910293579, 0.2835976779460907, -0.36063411831855774, -1.0767381191253662, -0.10200134664773941, 0.15304653346538544, -0.9909881353378296, -0.835115373134613, -0.45312440395355225, -2.178133249282837, -1.6775132417678833, -0.2746935188770294, -0.7552518844604492, -1.2554503679275513, -1.5326679944992065, 1.6864069700241089, -0.4009338319301605, -0.784881591796875, 1.1837537288665771, -0.2608809471130371, 0.015779297798871994, -0.30953848361968994, 0.3906950354576111, 1.702507495880127, 0.32570356130599976, -0.06465618312358856, -0.048994194716215134, -0.9216321110725403, -0.07768742740154266, -1.0520868301391602, 0.04772205278277397, -1.0877660512924194, -0.2459421306848526, 1.4235215187072754, -0.723362386226654, -0.2399354875087738, 0.21817009150981903, -1.277004361152649, -1.3782877922058105, -0.0025494585279375315, -0.8002442717552185, -0.47164273262023926, -1.1716644763946533, 0.32053905725479126, 0.9114446043968201, 1.0976850986480713, -0.8515511751174927, 0.5393169522285461, -0.06361671537160873, -0.4417076110839844, 1.191280722618103, -0.36791694164276123, -0.1157236099243164, 1.6781483888626099, 0.058019496500492096, 0.334306925535202, 1.211607575416565, -0.10693953186273575, -0.022841114550828934, -0.8435928225517273, 0.9541952610015869, -0.37908288836479187, 0.506157636642456, -0.44235703349113464, 1.6276592016220093, -0.9459270238876343, 0.33367693424224854, -0.04070819541811943, 0.6250391006469727, -0.3055449426174164, 1.0341331958770752, -1.1687910556793213, -0.419545441865921, 0.7050473690032959, 0.34636181592941284, 0.44915080070495605, -0.48925772309303284, -0.6312496662139893, 0.13558143377304077, 0.46041661500930786, 0.37112292647361755, -1.1503223180770874, -0.4448680579662323, 0.29364603757858276, -0.4523216784000397, -0.531513512134552, -0.6026633977890015, -0.935522735118866, -0.33354640007019043, 0.5530533790588379, 0.1634531170129776, -0.16248762607574463, -0.2565475404262543, -0.3957090973854065, -0.23470887541770935, -0.5386878848075867, 0.24140751361846924, 0.18163566291332245, -0.2345292568206787, 0.8447694778442383, 0.207198366522789, 0.6735822558403015, 0.015574309043586254, -1.407185673713684, -0.43731847405433655, -0.2279905378818512, 0.18818426132202148, 0.5678664445877075, 0.3544888496398926, 0.9281112551689148, -0.6738027334213257, 0.35828283429145813, -0.5519587993621826, -0.3678664267063141, -0.39951473474502563, -1.1931957006454468, 0.39535343647003174, -1.3970094919204712, 1.1202508211135864, -0.6270845532417297, -0.5194033980369568, 0.05881506949663162, 0.07632597535848618, -0.25169041752815247, -0.16130554676055908, 0.4351670444011688, -0.5680704712867737, 0.9626724720001221, -0.2891468107700348, 0.24200600385665894, 0.13322989642620087, 0.1326696276664734, 0.22506192326545715, 0.37865760922431946, -0.3615182042121887, 0.02592138759791851, -0.30982422828674316, -0.4490528404712677, 0.3246254324913025, -0.7342047095298767, 0.6968094110488892, -0.13908714056015015, -0.3016515374183655, 0.0537252202630043, -0.022701887413859367, 0.6300880312919617, -1.2046846151351929, -0.6656778454780579, -1.179471731185913, -0.6557928323745728, -1.309564232826233, 1.1303845643997192, -0.2137683779001236, 0.15769332647323608, -0.7528263330459595, 0.5622014403343201, 0.7742077112197876, 0.8857426047325134, 0.7710066437721252, 0.185861736536026, 0.306316614151001, -1.0886495113372803, -0.1764022409915924, 0.9119613170623779, 0.13698336482048035, -0.4879988729953766, -0.3297860324382782, -0.36020201444625854, 0.22939184308052063, 0.7316808104515076, 0.44534623622894287, 1.021526575088501, 0.5238932371139526, -0.17520616948604584, -0.6372901797294617, 0.4264155924320221, -0.1793985664844513, -1.8981472253799438, -0.08709662407636642, -0.7475060820579529, -0.7726287245750427, -0.5128920078277588, 0.434712678194046, -0.7283539175987244, 0.6909383535385132, -0.03553933650255203, -0.29404640197753906, 0.06426043808460236, -0.8118196725845337, 0.1499464213848114, -0.37032049894332886, -1.2417495250701904, -0.09064415842294693, 0.9913556575775146, -0.12733423709869385, 0.4975646138191223, -0.0704539492726326, -0.3739648163318634, -1.4056971073150635, 0.43400266766548157, -0.6030546426773071, 0.3673495054244995, -0.3430950343608856, 0.5579941272735596, 0.9165142178535461, 1.2713370323181152, -0.3717269003391266, -0.7389644384384155, 1.2893030643463135, 0.9522517323493958, -0.5163706541061401, -0.6000230312347412, -0.7762702107429504, -0.37463486194610596, 0.5980397462844849, -0.158437579870224, -0.11562191694974899, 0.1358063966035843, -0.4846620261669159, 0.2650577425956726, -0.22950229048728943, 0.05978333204984665, 0.20576104521751404, -0.36548489332199097, 0.737721860408783, -0.9378389120101929, 0.21499086916446686, -0.7713419198989868, 0.8166419863700867, 0.044118162244558334, 0.9071404337882996, 0.8350331783294678, 0.8979737162590027, -0.1682591736316681, -2.183159112930298, 0.15234261751174927, -0.19146092236042023, 1.0127125978469849, 0.12253134697675705, 0.30616188049316406, 0.3832104802131653, 1.736363410949707, 0.34980809688568115, 1.0369832515716553, -0.038370829075574875, 1.0493576526641846, -1.8952035903930664, 1.0648561716079712, -0.30321186780929565, 0.15821747481822968, -1.8821619749069214, 0.6350547671318054, -0.2303762584924698, 1.228088140487671, -0.3755439221858978, -0.2586168348789215, -1.0700517892837524, -0.46831995248794556, -1.1670528650283813, 0.9669317603111267, -0.4108288288116455, 0.35019025206565857, -0.2563660144805908, -0.9245152473449707, 0.7445448040962219, 0.1422564834356308, 0.10293576121330261, -0.591193675994873, 0.3020087778568268, -2.093003511428833, 0.3806135654449463, 0.310671865940094, 0.34520408511161804, -0.9229521751403809, 0.3362876772880554, -1.1242040395736694, 0.3542000353336334, 0.5163315534591675, 0.10038680583238602, -0.30839869379997253, -0.36724963784217834, 0.06457091122865677, 0.5412273406982422, -0.5050520896911621, 1.0106276273727417, -0.08768225461244583, 0.6901851892471313, 1.1776190996170044, 1.0463671684265137, 0.5409690141677856, -1.2696163654327393, 0.370335191488266, 1.0261212587356567, -0.6049073338508606, -0.28616389632225037, -0.9366095662117004, 0.7301453948020935, -0.05786731839179993, 0.47633957862854004, -0.9318065047264099, -1.7601467370986938, -0.37138307094573975, -0.1667054146528244, -0.8492383360862732, -0.154662624001503, 1.1831451654434204, -0.07406214624643326, 2.103712320327759, -7.895090103149414, 0.09364771097898483, -0.6097722053527832, 0.3538714051246643, -0.23052801191806793, 0.6130803823471069, 0.354608952999115, -0.7951085567474365, -0.38663074374198914, -0.5343319177627563, -0.06550868600606918, 0.06316825747489929, -0.4010956883430481, -0.370109498500824, 0.21824154257774353, 0.6874947547912598, -0.20621125400066376, -0.4262981414794922, -0.31811290979385376, 1.0070091485977173, -0.8789956569671631, 1.8184185028076172, -0.38404980301856995, -0.24935126304626465, 0.7859945893287659, -0.47198447585105896, 0.8661739230155945, 0.30045485496520996, 0.2786094844341278, 0.37764328718185425, -0.8668234348297119, -1.2716073989868164, 0.2130134254693985, 0.3420790433883667, -0.9882826209068298, -1.6436759233474731, -0.6278174519538879, -1.0097103118896484, -0.8345466256141663, 0.006087372545152903, -0.6850987076759338, -0.33545002341270447, 0.41233864426612854, -0.15236400067806244, -0.7313803434371948, 0.7967426776885986, -0.6139523983001709, 1.537169337272644, 0.4483255445957184, -0.26911303400993347, 0.0268655214458704, -0.28973451256752014, 0.13084690272808075, 0.08216812461614609, 0.7261662483215332, -0.28204458951950073, -0.024250369518995285, -0.07463604211807251, -1.8662008047103882, -1.2626044750213623, -0.24482260644435883, -0.8605340123176575, 0.431353360414505, 0.15354618430137634, 0.43533650040626526, 1.0994027853012085, 0.1767178624868393, 0.128525510430336, 0.9672290682792664, 0.6165927052497864, 0.07553446292877197, 0.12389308959245682, 0.005736908409744501, -0.3912582993507385, -0.24774771928787231, -0.3608229160308838, -0.6307387351989746, -0.6960484981536865, -0.5889193415641785, -0.08380143344402313, -1.1011930704116821, 1.069159746170044, -0.48999977111816406, 0.5990076065063477, 0.9222379922866821, -0.32980209589004517, -0.3328700363636017, 1.1619296073913574, 0.621679961681366, 0.4609031677246094, -0.5417761206626892, 0.12900292873382568, -0.5224036574363708, 1.1579210758209229, 0.4433281421661377, 0.6352179646492004, 0.5676095485687256, 0.4523014426231384, 0.6908412575721741, 0.7232061624526978, 0.4835952818393707, 0.9078173041343689, 0.6335612535476685, 1.138056993484497, -0.24500776827335358, 0.011021335609257221, 0.23769596219062805, 0.9371839761734009, 0.6736646890640259, -0.20282875001430511, -0.4029144048690796, -0.04839041456580162, -0.05255461856722832, -0.9042508602142334, 0.08601042628288269, 0.8418961763381958, -0.3711024522781372, 0.29137271642684937, 0.488743394613266, 0.5701850652694702, 0.5341823697090149, -0.08440502732992172, 0.23308205604553223, 0.4985269606113434, 0.7365332245826721, 0.7089613676071167, -0.5154759883880615, -0.01006592158228159, 0.20788927376270294, 0.2736540138721466, 0.39225929975509644, 0.19910113513469696, -0.04538548365235329, -0.12315376102924347, -0.6831427812576294, -0.9342849850654602, -0.9580780863761902, 0.5984451770782471, -1.160230040550232, 0.18085572123527527, -0.8459791541099548, -0.02638714388012886, 0.6824114322662354, 0.10966480523347855, -0.8142300844192505, 1.0831810235977173, -0.6890116333961487, 0.22168277204036713, 0.39429062604904175, 0.18713541328907013, -0.5824561715126038, 1.8767873048782349, 0.6908068656921387, 0.26735424995422363, 0.6472920179367065, 0.06064937263727188, -0.5085080862045288, -1.1060256958007812, -0.09768855571746826, -0.49004194140434265, 1.4116148948669434, -0.04538688436150551, 1.1713550090789795, 0.03416721895337105, 0.7950953245162964, -0.2857290804386139, -0.027126219123601913, -0.5633038878440857, 0.5020739436149597, -0.330291211605072, -0.38896510004997253, -0.5336285829544067, -0.584936797618866, -0.2505284249782562, 0.4395647644996643, 0.7106608152389526, -0.914888858795166, -0.3090280294418335, -0.13874739408493042, -2.132960319519043, 0.7341997027397156, -1.1849677562713623, 0.28359758853912354, -0.20570792257785797, 0.1600271314382553, 0.08515895903110504, 0.6657878756523132, 0.4398237466812134, 1.852635145187378, 0.3403526842594147, -0.3130546510219574, -0.3990595042705536, -0.14322127401828766, -0.37274566292762756, -0.281831294298172, -0.053053949028253555, 0.3228091895580292, -0.6215893626213074, 1.2613773345947266, -1.4614289999008179, 1.7341365814208984, -0.9217864274978638, -0.1849263459444046, -0.05308333784341812, 0.612680196762085, -0.2913898229598999, -0.349236398935318, 0.12437978386878967, 0.4784565567970276, -0.18098357319831848, 1.2931454181671143, -1.169532060623169 ]
188
0704.0190
Eiichi Konishi
E. Konishi (1), Y. Minorikawa (2), V.I. Galkin (3), M. Ishiwata (4), I. Nakamura (4), N. Takahashit (1), M. Kato (5) and A. Misaki (6) ((1) Graduate School of Science and Technology, Hirosaki University (2) School of Science and Engineering, Kinki University (3) Department of Physics, Moscow State University (4) Department of Physics, Saitama University (5) Kyowa Interface Science Co., Ltd., Saitama (6)Advanced Research Institute for Science and Engineering, Waseda University, Tokyo)
The Reliability on the Direction of the Incident Neutrino for the Fully Contained Events and Partially Contained Events due to QEL in the Super-Kamiokande
12 pages 28 figures with 4appendices 4 figures, latex
null
null
null
hep-ex astro-ph hep-ph
null
In the SK analysis of the neutrino events for [Fully Contained Events] and [Partially Contained Events] on their zenith angle distribution, it is assumed that the zenith angle of the incident neutrino is the same as that of the detected charged lepton. In the present paper, we examine the validity of [the SK assumption on the direction] of the incident neutrinos. Concretely speaking, we analyze muon-like events due to QEL. For the purpose, we develop [Time Sequential Monte Carlo Simulation] to extract the conclusion on the validity of the SK assumption. In our [Time Sequential Simulation], we simulate every physical process concerned as exactly as possible without any approximation. From the comparison between the zenith angle distributon of the emitted muons under [the SK assumption on the direction] and the corresponding one obtained under our [Time Sequential Simulation], it is concluded that the measurement of the direction of the incident neutrino for the neutrino events occurring inside the detector in the SK analysis turns out to be unreliable, which holds irrespective of the existence and/or non-existence of the neutrino oscillation.
[ { "created": "Mon, 2 Apr 2007 13:36:39 GMT", "version": "v1" } ]
2007-05-23
[ [ "Konishi", "E.", "" ], [ "Minorikawa", "Y.", "" ], [ "Galkin", "V. I.", "" ], [ "Ishiwata", "M.", "" ], [ "Nakamura", "I.", "" ], [ "Takahashit", "N.", "" ], [ "Kato", "M.", "" ], [ "Misaki", "A.", "" ] ]
07
[ -0.553708016872406, -0.07905405014753342, -0.31187066435813904, 0.4193509817123413, -0.3323087692260742, -0.2642644941806793, -0.42637455463409424, 1.9541665315628052, 0.24075451493263245, 0.7123048305511475, 1.2303730249404907, 0.46549880504608154, 0.5274432897567749, 0.5875332951545715, 0.11692560464143753, 0.5919455885887146, -0.6603556275367737, -1.5148959159851074, 0.4763759672641754, -0.8284380435943604, -0.07823851704597473, -0.6895748376846313, -0.8384333848953247, -0.22223755717277527, -0.11777673661708832, -0.5869530439376831, 0.038055334240198135, -0.21251839399337769, 0.6061050295829773, -0.02787395752966404, -0.9598420262336731, -0.15354770421981812, -0.1937127262353897, -0.22167353332042694, 0.32161659002304077, -0.08269006758928299, 0.7210251688957214, -1.2121700048446655, -1.0844917297363281, -1.0572606325149536, -1.0357375144958496, -0.13198189437389374, 0.4371863901615143, 0.6016175746917725, 0.12899303436279297, -0.2568994462490082, 0.7837381362915039, 0.17949625849723816, 0.4973859488964081, 0.7952709197998047, 0.5075934529304504, 1.462132453918457, -0.13084575533866882, 1.0402321815490723, -0.60901939868927, 1.1797698736190796, -0.39142733812332153, 0.4262165427207947, -0.25337710976600647, -0.2683282792568207, 0.5034893155097961, 0.575759768486023, -0.10561157763004303, 1.5168147087097168, -0.9926526546478271, -0.11251799762248993, 0.3016335964202881, -0.1171332448720932, -0.31388914585113525, -0.532600462436676, 0.019831925630569458, -0.29663968086242676, 0.09469877928495407, -0.17712299525737762, -0.6683608293533325, -0.7538104057312012, -0.8560559153556824, -0.7388654351234436, 0.8195804357528687, 0.23038055002689362, 1.1157922744750977, 0.6965888738632202, 0.4122205376625061, -0.8379377722740173, -1.2324178218841553, 0.052380260080099106, 0.527452290058136, 0.30016136169433594, -2.066971778869629, 0.30475735664367676, -0.2547522485256195, 0.9223648309707642, 0.2819364070892334, -1.4656836986541748, 0.7164214849472046, 0.5202022194862366, -0.7546176910400391, 0.2288646250963211, 0.800653874874115, 2.352938652038574, 0.30118486285209656, -0.8078334927558899, 0.1772349327802658, -0.5304157733917236, 0.11056054383516312, -0.4693544805049896, -0.9521066546440125, -0.41593241691589355, -0.3898436427116394, 0.48982927203178406, -0.588566780090332, 0.3564448654651642, -0.23925811052322388, 0.2908366620540619, -0.7770439386367798, 1.0066794157028198, 0.43105730414390564, -0.9557428359985352, -1.0075219869613647, 0.030345112085342407, 0.3136420249938965, 1.2831498384475708, -0.9265725016593933, 0.439628928899765, 0.8698240518569946, 0.31011345982551575, -0.718701183795929, -0.19275224208831787, 1.197835922241211, -0.13860128819942474, -0.05750185251235962, -0.2451508492231369, -0.24716956913471222, 0.02460012026131153, 0.8686532378196716, -0.7563081979751587, 0.1939902901649475, 0.2275707721710205, 0.723852276802063, -0.09256885945796967, -0.04031555727124214, -0.044741082936525345, 0.6662865877151489, 0.2729134261608124, 0.40741366147994995, 0.7328782677650452, -0.8815571665763855, -0.3066859543323517, -0.9554560780525208, -0.2057209461927414, 0.05143025889992714, -0.06031592935323715, -0.173343688249588, -0.8449171781539917, 1.2769147157669067, -0.057687412947416306, 0.7674078941345215, 0.7892090678215027, 0.7020999193191528, 1.5261528491973877, 0.9959072470664978, 0.6384674906730652, -0.1212095394730568, 0.3848411738872528, 0.29535624384880066, -0.9526360034942627, 0.2525680363178253, 1.7182934284210205, -0.07019997388124466, -1.4385325908660889, -0.4187975525856018, -0.5086603760719299, 0.08261986076831818, 0.9195951223373413, 0.16457149386405945, -0.9406207799911499, 1.1751348972320557, -0.04711234197020531, -0.46272462606430054, 0.9539082050323486, 0.4062521159648895, -0.17618955671787262, -0.749701738357544, -0.5642864108085632, 0.2578884959220886, -0.5600901246070862, -0.4378509819507599, -0.2878439724445343, -0.14774249494075775, -0.08147092908620834, -0.15853799879550934, -0.42809391021728516, -1.3924607038497925, 0.3623887002468109, -0.5655245184898376, 1.4699409008026123, 0.09720529615879059, -1.3208410739898682, -0.26048487424850464, 0.2113702893257141, -0.05049987509846687, 0.31710517406463623, 0.7466796040534973, 0.432711124420166, 0.09212477505207062, -0.6541408896446228, -0.9128948450088501, 0.8947157263755798, -1.4204975366592407, -0.3100798428058624, -2.6195719242095947, -0.2908899188041687, -0.3491480052471161, 0.9566353559494019, 0.6564766764640808, -0.5250378251075745, 0.9572579264640808, -0.26577481627464294, -0.30690672993659973, -1.2211793661117554, -0.04927565157413483, 0.869021475315094, 0.06665773689746857, 0.14420023560523987, 0.5515797138214111, 0.049847062677145004, -1.6618359088897705, -0.17067009210586548, 0.7110396027565002, 0.3453315794467926, -0.5558595061302185, -0.9634411931037903, -1.2091355323791504, -0.2601873278617859, 0.6805329322814941, -0.809679388999939, -0.3480115234851837, -0.049684423953294754, -1.0157712697982788, -0.061878807842731476, 0.11259379982948303, 1.3254852294921875, 0.2902242839336395, 0.6309590339660645, -0.16683036088943481, 0.4156210422515869, 0.29931169748306274, 0.7588393688201904, -0.39095091819763184, -0.4347812533378601, 1.0588051080703735, -0.9563272595405579, 0.24120518565177917, 0.27817243337631226, 0.388016939163208, 0.42300042510032654, 1.0792484283447266, 0.2916510999202728, 0.10765567421913147, 0.9602483510971069, -0.24073435366153717, -0.6954852342605591, 0.6761273145675659, 0.6201546788215637, -1.4222815036773682, -0.5354364514350891, -0.9698145985603333, -0.7050327658653259, -1.1147130727767944, -0.3139634132385254, -0.4219423830509186, -1.181740641593933, 0.17298118770122528, -0.08713266998529434, 0.6841496229171753, -1.4048165082931519, -0.098040871322155, 0.41127529740333557, 0.019973723217844963, -0.5753334164619446, -0.8684373497962952, -0.4869332015514374, 0.9738867282867432, 1.2231818437576294, 0.4756964147090912, -1.1802805662155151, 1.6451767683029175, 0.0750800147652626, -1.1066265106201172, -0.9379169344902039, -1.6013704538345337, -0.11497573554515839, -0.6877754926681519, -0.10882577300071716, -1.024282693862915, 0.6848302483558655, -0.17447876930236816, 0.706555962562561, -0.2669430375099182, -0.22136187553405762, -0.12712135910987854, 0.3312839865684509, -0.10671155154705048, 0.9482371807098389, 0.2778989374637604, -0.14411285519599915, 0.9578157067298889, 0.14472348988056183, 0.001338917762041092, 0.29653024673461914, 1.1195799112319946, -0.5315985679626465, -0.5000841021537781, -0.2666265666484833, 1.0307669639587402, 0.3521445691585541, 0.8372853994369507, 0.503364086151123, -0.10826823860406876, -0.5414072275161743, 0.3479635417461395, 0.414504736661911, -0.23306795954704285, -0.3451748788356781, 0.18387100100517273, 0.3593217432498932, 1.0693243741989136, 0.15937656164169312, 0.5659111738204956, 1.09971022605896, -0.4226056635379791, -0.051211126148700714, -0.7516049146652222, -0.016313418745994568, -0.02662273682653904, 0.10627643764019012, 0.7516927719116211, 0.38834071159362793, 0.5125978589057922, -1.3751413822174072, 0.4504205584526062, 1.0170344114303589, 0.42004457116127014, 1.1815234422683716, -0.18224214017391205, -0.9823559522628784, -1.0662349462509155, 0.3480320870876312, -0.5271850228309631, 0.23197852075099945, -1.4433749914169312, -0.29305246472358704, 1.4330356121063232, 0.2625884413719177, 0.3146074414253235, -0.29658159613609314, 0.9055894017219543, -0.34423041343688965, 0.32261425256729126, 0.3527772128582001, -0.3956253230571747, 0.3331647217273712, -1.0590213537216187, -0.6794243454933167, 0.6290298700332642, -0.13402703404426575, -1.0038310289382935, 1.5786001682281494, 0.46690163016319275, -0.36528778076171875, -0.5484603047370911, 0.4545026421546936, -1.0482856035232544, -0.7276338338851929, -1.1235803365707397, 1.3917412757873535, 0.4305112659931183, -0.10627678036689758, 0.39950206875801086, -0.0011908984743058681, 0.7922960519790649, 0.9643312692642212, -0.22156278789043427, -0.014775292947888374, -0.7592564225196838, -0.2487013041973114, 0.0003247087588533759, 0.2937464118003845, 0.3622039556503296, 0.24395081400871277, -1.2278422117233276, -0.6279647946357727, -0.38833385705947876, 0.15408582985401154, -0.7440219521522522, -1.4450145959854126, 0.49392908811569214, 1.72540283203125, -0.08320894837379456, 0.11491537094116211, 0.8319503664970398, -0.6406550407409668, 0.3406108021736145, -1.237747311592102, -0.6711965203285217, -1.0464856624603271, 0.41067227721214294, -0.2414451539516449, -0.4097751975059509, -0.7727475762367249, -0.40879735350608826, 0.5330632925033569, -0.5211523771286011, 0.3802642822265625, 0.15818555653095245, 0.7817992568016052, 0.4019944667816162, 0.4679499566555023, -0.6476253867149353, -0.016894524917006493, 0.4949192404747009, -0.6103547215461731, -0.3737950325012207, 0.5106745362281799, -1.5721900463104248, -0.996437668800354, -0.6084697842597961, 0.5385505557060242, -0.34904059767723083, 0.34465232491493225, -1.3338558673858643, 0.42402538657188416, -0.015614490956068039, -0.9660592675209045, -0.013891349546611309, -0.5804471969604492, -0.47599509358406067, 0.4122968912124634, -0.31317195296287537, 0.7063044905662537, -1.6354601383209229, -0.653815746307373, -0.2080727070569992, 0.30029207468032837, 0.23094448447227478, -0.605746865272522, -0.6880457997322083, 0.2376723736524582, 0.5174288749694824, 1.0473483800888062, -0.5466694831848145, 0.3533748984336853, 0.2596486806869507, 0.39818423986434937, 0.409841924905777, -1.3764772415161133, -0.9374036192893982, 1.0413360595703125, -1.8812386989593506, -0.48308292031288147, -0.3083089292049408, 0.7221893668174744, -0.05022395774722099, -0.3799279034137726, 1.0232337713241577, -0.8756670355796814, 0.11647090315818787, -0.6934863924980164, 0.384599506855011, 0.050622157752513885, 0.8217347264289856, 0.30215030908584595, 0.6067753434181213, 0.9298585057258606, 0.31011146306991577, 0.6551978588104248, 1.625664234161377, -0.48469915986061096, 1.307159662246704, 0.23860597610473633, 1.7688379287719727, 0.9848980903625488, 0.5143564343452454, -0.5806081891059875, -1.5048515796661377, -1.1116043329238892, 0.5475863814353943, 0.17728708684444427, 0.5706905722618103, 0.28640368580818176, 0.592715322971344, -0.2403765618801117, 0.3728269040584564, 0.7154775857925415, -0.5466530323028564, -0.38590869307518005, -0.6205047965049744, -0.8630131483078003, -0.3330211043357849, 0.1617054045200348, 0.08191029727458954, 0.025057226419448853, 0.6738381385803223, 0.7064017057418823, 0.4493548572063446, 0.38438647985458374, 0.1531190276145935, -0.658725917339325, -0.27600255608558655, 0.7128263711929321, -0.33262816071510315, 0.371518611907959, -0.31252655386924744, -0.5187729597091675, 0.31633344292640686, -0.9357445240020752, -1.6879435777664185, -2.8475823402404785, -1.6871368885040283, -0.9832586646080017, -1.4502252340316772, -0.8412163853645325, -0.8828823566436768, -0.5596412420272827, -0.13292858004570007, -0.37447506189346313, 0.304970920085907, -0.05202554166316986, -0.7093626856803894, 0.6359661221504211, -1.1019806861877441, -0.17699012160301208, 0.2256949543952942, -0.0762263610959053, -0.3913187086582184, -0.006531432271003723, 0.11067061871290207, -0.6698393225669861, -0.04851222410798073, 0.8033776879310608, -0.12498730421066284, 0.6287739872932434, -0.653740644454956, -0.4542198181152344, 0.3883645534515381, -0.005323760211467743, 0.2565751373767853, -0.07905297726392746, 0.3917548656463623, -0.24597474932670593, 0.3075993061065674, -0.44807177782058716, 0.6661590337753296, -1.0357850790023804, 0.5840193629264832, 0.025205109268426895, -7.768024444580078, -0.5270479321479797, -0.5657175779342651, -1.3592312335968018, 0.22061312198638916, 0.009602157399058342, -0.7234303951263428, -0.45590880513191223, 0.12189432233572006, 1.9401527643203735, -0.07703491300344467, -0.6754846572875977, -0.5119503140449524, 1.0655086040496826, 1.080264925956726, -0.6599560379981995, -0.15190330147743225, -0.21690011024475098, 0.5770411491394043, -0.3912222385406494, 0.24164508283138275, 0.03197106346487999, 0.28810441493988037, -0.414024293422699, 0.63130122423172, -0.42891234159469604, -1.122391700744629, 1.0054237842559814, -0.7762801647186279, 0.08299490064382553, 0.6023649573326111, 0.02863447740674019, -0.09255775064229965, 0.10856010019779205, -0.5868781805038452, -0.06623750180006027, 1.1714043617248535, 0.08352605998516083, 0.2950999140739441, -1.0675246715545654, 0.22493715584278107, -0.4124104380607605, -1.8528441190719604, -1.002467155456543, -0.8920059204101562, 1.2495259046554565, -0.1382674127817154, 0.3608364164829254, 0.9032573699951172, -0.9983923435211182, 1.0983506441116333, -1.0460877418518066, 0.1645820587873459, 1.182757019996643, -0.8331449627876282, -0.8804128766059875, -0.852065920829773, 0.7148287892341614, -0.4309169054031372, -0.77208411693573, 0.43184447288513184, -1.3178600072860718, 0.9989003539085388, -0.9679416418075562, -0.24598263204097748, -0.3412822484970093, 0.8618324995040894, -0.44179266691207886, -0.5253350734710693, -1.4103727340698242, 0.1070079654455185, 0.41628336906433105, 0.6475919485092163, -0.8145097494125366, 0.4139639735221863, -0.8423696756362915, -1.100909948348999, -0.1772129386663437, -0.16947929561138153, 0.49494364857673645, 0.15971499681472778, -0.8752539753913879, -0.3612706959247589, -0.3816130757331848, 0.8271610140800476, -0.13429518043994904, -0.11791472136974335, -1.2647331953048706, 0.714388370513916, -0.10436610877513885, 0.8256316781044006, 0.6529484391212463, 0.22448544204235077, -0.9086533188819885, -0.9447339177131653, 0.34095218777656555, 0.616344153881073, -0.7884244918823242, -0.6252877712249756, -0.5706233382225037, 0.22277726233005524, 0.04443551227450371, 0.32348012924194336, -0.22711417078971863, -0.4008263051509857, -0.2597862482070923, 0.6598125696182251, 0.5484459400177002, 0.69037264585495, -1.2421058416366577, 1.1539500951766968, 0.7191506028175354, -1.8057509660720825, 0.7514237761497498, -1.9015847444534302, -0.9206302165985107, 0.586249589920044, 1.3858757019042969, 0.0912606492638588, -0.15994343161582947, -1.5169830322265625, -1.3130578994750977, 2.485440492630005, 1.542662262916565, 0.9766659140586853, -0.238564133644104, 0.1780654639005661, -0.016843942925333977, -0.9243961572647095, 0.363389790058136, -0.21072432398796082, -0.48670241236686707, 0.873060405254364, 0.2429753541946411, -0.4175296425819397, -0.5303956866264343, -0.1265442967414856, 2.0076518058776855, -0.325664758682251, -0.7963955998420715, -0.25144460797309875, -0.0401119589805603, 0.6090680360794067, 0.31457552313804626, 0.6251984238624573, -0.4351196885108948, -0.09943581372499466, -0.607602596282959, -0.8455063104629517, -0.6154549717903137, -0.233744814991951, 0.4855704605579376, -0.1554858684539795, 0.761887788772583, -0.5982205867767334, -0.9456936717033386, -0.20479755103588104, 0.23822972178459167, -0.19320771098136902, -0.011141915805637836, 0.2052367627620697, -0.21733419597148895, -0.4787449538707733, -0.9578892588615417, -1.3992940187454224, 1.3536906242370605, -0.3043811321258545, 0.8937104940414429, 0.09836385399103165, 0.1675444096326828, 0.4410398602485657, -0.5501305460929871, 0.14737680554389954, -0.23391759395599365, -0.32806816697120667, 0.025683512911200523, -0.9099709987640381, -0.885489284992218, 0.034599773585796356, 0.3400530517101288, 0.8763107061386108, 0.6306660175323486, 0.3875124752521515, 1.6505753993988037, -0.5161845088005066, 0.35816118121147156, -0.912295401096344, 1.297381043434143, -0.7843964695930481, 0.4068930447101593, -0.1751250922679901, 0.33003804087638855, 0.09536606073379517, 0.25025326013565063, -0.37529513239860535, 0.10632660239934921, -0.9634172916412354, 0.40731188654899597, 1.6988362073898315, -0.07804033160209656, -1.0607614517211914, 1.518489956855774, -0.5271801352500916, 0.035985615104436874, 0.029006535187363625, 0.6137629151344299, -0.6522788405418396, 0.42714235186576843, -0.6053934097290039, -0.5292026400566101, 0.29777535796165466, -0.48129358887672424 ]
189
0704.0191
Peter Virnau
Peter Virnau (1), Leonid A. Mirny (1,2), Mehran Kardar (1) ((1) Massachusetts Institute of Technology, Department of Physics, Cambridge, MA, United States of America, (2) Massachusetts Institute of Technology, Harvard-MIT Division of Health Science and Technology, Cambridge, MA, United States of America)
Intricate Knots in Proteins: Function and Evolution
6 pages, 2 figures, 1 table
P. Virnau, L. A. Mirny, M. Kardar, PLoS Comp Biol 2, 1074-1079 (2006)
null
null
physics.bio-ph physics.data-an q-bio.BM
null
A number of recently discovered protein structures incorporate a rather unexpected structural feature: a knot in the polypeptide backbone. These knots are extremely rare, but their occurrence is likely connected to protein function in as yet unexplored fashion. Our analysis of the complete Protein Data Bank reveals several new knots which, along with previously discovered ones, can shed light on such connections. In particular, we identify the most complex knot discovered to date in human ubiquitin hydrolase, and suggest that its entangled topology protects it against unfolding and degradation by the proteasome. Knots in proteins are typically preserved across species and sometimes even across kingdoms. However, we also identify a knot which only appears in some transcarbamylases while being absent in homologous proteins of similar structure. The emergence of the knot is accompanied by a shift in the enzymatic function of the protein. We suggest that the simple insertion of a short DNA fragment into the gene may suffice to turn an unknotted into a knotted structure in this protein.
[ { "created": "Mon, 2 Apr 2007 13:40:19 GMT", "version": "v1" } ]
2007-05-23
[ [ "Virnau", "Peter", "" ], [ "Mirny", "Leonid A.", "" ], [ "Kardar", "Mehran", "" ] ]
07
[ 0.15824222564697266, -1.2129607200622559, 0.36860713362693787, -0.17792460322380066, -0.6577624082565308, -0.09190160036087036, 1.4876854419708252, -0.10722845792770386, 0.07638029754161835, -0.707834005355835, 1.2253389358520508, -0.029648927971720695, 0.008194676600396633, 0.8469273447990417, 1.0357062816619873, 0.44304049015045166, -2.300647497177124, -0.25501593947410583, -0.8276797533035278, -1.2934188842773438, 0.2526336908340454, -0.12458038330078125, -0.17606058716773987, -0.3997970223426819, -0.35282301902770996, 0.15503360331058502, -2.086115598678589, 0.7074108719825745, 0.9601513147354126, -0.04048727825284004, 0.15770797431468964, -0.8194759488105774, -0.33715829253196716, 0.11437179148197174, 0.6447679996490479, 0.03622953221201897, 0.7968273758888245, -0.6422500014305115, -0.7755101919174194, 0.06063948571681976, -0.1710517853498459, 0.8401090502738953, -0.5806847810745239, -0.488737553358078, 1.209096074104309, 0.2699209153652191, -0.1993025839328766, -1.1823813915252686, 0.14022040367126465, -1.057543158531189, -0.5086259841918945, 0.4109414219856262, -0.14237640798091888, -0.16577260196208954, -0.3453601896762848, -0.6663379669189453, -0.8836413025856018, 0.058578502386808395, 0.9986969232559204, -0.11333886533975601, -0.3096641004085541, -0.017672929912805557, 0.9026291370391846, 0.04109853506088257, -0.44359973073005676, -0.3386666774749756, 1.0330588817596436, 0.04777722433209419, -0.36772260069847107, 0.33545511960983276, 0.26429522037506104, 0.46736612915992737, 0.1677842140197754, 0.06685794144868851, -0.48116761445999146, -0.6003595590591431, 0.8267109394073486, 0.11463800072669983, -0.5089706182479858, 0.8189614415168762, -0.22384466230869293, -0.6451142430305481, -0.0013697254471480846, 0.04534158110618591, 0.06952786445617676, -1.738000512123108, 0.6849530935287476, 0.2575799226760864, 0.6245858073234558, 0.2724919319152832, 0.11761535704135895, -1.5411723852157593, -0.12164890021085739, 0.6355600953102112, 0.3455328643321991, -0.6634399890899658, -0.5968146920204163, 0.7218294739723206, 0.5399246215820312, -0.5555988550186157, 0.7694569230079651, 0.9790188670158386, -0.6671950221061707, 0.24389301240444183, 0.0780370905995369, -0.09072025865316391, -0.08052828162908554, -0.06446784734725952, 1.4938745498657227, -1.0687527656555176, 0.07417228072881699, -0.45338720083236694, 0.15034648776054382, 0.8189010620117188, -0.570472240447998, -0.2614670693874359, -0.1766945719718933, 1.173491358757019, -0.36480647325515747, 0.6203768253326416, 0.18331722915172577, 0.29144713282585144, -0.5945795178413391, -0.5752456784248352, 0.3063802719116211, 0.5320512056350708, -1.1634275913238525, 0.56487637758255, -0.6057634353637695, 1.0829771757125854, 0.11289963871240616, 0.35343804955482483, 0.6857591271400452, -1.0277084112167358, -1.3483587503433228, 0.9056511521339417, -0.9351686835289001, 0.5276849269866943, -0.6897090077400208, -0.19805465638637543, 0.39107853174209595, -0.0459279902279377, -0.902306318283081, -0.35486897826194763, -0.3048001825809479, 0.6616107225418091, 1.0778158903121948, -0.09712498635053635, 0.8557360172271729, 1.1714684963226318, 1.0384516716003418, 0.16571149230003357, 0.8427519798278809, 0.07787148654460907, 0.7569804191589355, -0.31047406792640686, 1.3579224348068237, 0.16335129737854004, 0.5085508823394775, 0.6867330074310303, -0.16782408952713013, 0.5471447706222534, 0.33701255917549133, -0.1514507532119751, 0.22253848612308502, -0.8219372630119324, 0.6732394099235535, 0.5687966346740723, -0.6018731594085693, 0.26994895935058594, -0.0017837631748989224, -1.2218419313430786, 0.895245373249054, 0.536992609500885, 0.281757652759552, -0.7397354245185852, 0.37603995203971863, 0.18824465572834015, -1.0404690504074097, 1.012137770652771, -1.0447417497634888, -0.9972395896911621, -0.8592256903648376, 0.08755641430616379, -0.2904936969280243, -0.5948315858840942, -0.12829045951366425, 1.5771516561508179, 0.6622774004936218, -0.14849378168582916, -0.5008149147033691, 0.4446413516998291, -1.470137357711792, 0.06447754800319672, -0.12396006286144257, -0.5686545968055725, -0.16378602385520935, -0.15228287875652313, -1.0376557111740112, 0.14464619755744934, -0.47196832299232483, -0.32943737506866455, -1.1890208721160889, 0.27746379375457764, 1.1537004709243774, 0.2375992089509964, 0.46824362874031067, -0.3321497142314911, 0.15114791691303253, 1.0793356895446777, -0.07267773151397705, 0.5360457301139832, -0.6507225036621094, -1.3856991529464722, 0.4727596044540405, 1.0311179161071777, 1.60813307762146, -0.2484080046415329, 0.21480245888233185, 0.9618923664093018, -0.7008166313171387, 0.15969263017177582, -0.8517663478851318, -0.6612613201141357, -0.6630754470825195, -0.28443196415901184, 2.38683819770813, 0.5398665070533752, 0.6408421993255615, -0.22208307683467865, -0.08970877528190613, -0.511358916759491, 0.4803382158279419, -0.8319862484931946, -0.7752795219421387, -0.38661232590675354, -0.3175654113292694, 0.25127649307250977, -0.9423465728759766, 0.8697837591171265, -0.51326584815979, -0.08424576371908188, -0.17919862270355225, -1.0152770280838013, -0.15162037312984467, -0.21351933479309082, 0.5086096525192261, 1.8830218315124512, -0.0571337454020977, 0.3746998906135559, -0.7934638857841492, 0.05003107711672783, -0.5290167331695557, 0.3389744162559509, 0.07648338377475739, -0.529115617275238, 0.7758015394210815, -1.4281657934188843, -0.4173068404197693, 0.004152686335146427, -0.16333982348442078, -0.43919041752815247, 0.28892651200294495, 0.08043515682220459, 0.42715856432914734, 0.5563617944717407, 0.14724856615066528, 0.13573744893074036, 0.049889981746673584, -0.1510307639837265, 0.4069158434867859, -0.24732299149036407, -1.126896858215332, -0.12627172470092773, 0.6678603887557983, 0.24724166095256805, -0.8018554449081421, 0.5879595279693604, 0.5054237246513367, -0.07171370834112167, 0.501524031162262, -0.625123143196106, 0.45968425273895264, -0.031475573778152466, 0.24967680871486664, -0.8679711222648621, 0.027086935937404633, 0.35803207755088806, 0.4812844693660736, -0.7268747687339783, 0.49635815620422363, -0.7012560367584229, -0.5995946526527405, 1.2971751689910889, -0.659702718257904, -1.2818620204925537, 2.4507641792297363, 0.12436144798994064, -0.18704380095005035, 0.6052228808403015, -1.3253653049468994, 1.0654650926589966, -0.6133233308792114, 0.5110082030296326, 0.6722490787506104, -0.22398735582828522, 0.026122288778424263, 0.058718062937259674, 0.1277439296245575, -0.24241696298122406, -0.22936154901981354, -0.3292127847671509, -0.446677029132843, -1.7745212316513062, 1.0959177017211914, -0.18017295002937317, -0.16652517020702362, -0.521106481552124, -0.8196079134941101, -0.7015833258628845, 0.2701700031757355, -0.43406540155410767, 0.21453990042209625, 0.4588041603565216, -0.8780776262283325, -0.610283374786377, -1.0906682014465332, 0.3061300814151764, -0.24917954206466675, 1.484451413154602, -0.1735222041606903, -0.2239043116569519, 0.199994295835495, -0.12099898606538773, 0.22807253897190094, -1.0075488090515137, -1.6421173810958862, -0.5880231261253357, -0.3553685247898102, 0.47964924573898315, -0.05078752711415291, -0.270346999168396, 0.3872579038143158, -0.027478819712996483, 0.918009877204895, 0.3224561810493469, -0.158249631524086, -0.14544227719306946, -0.815039336681366, 0.8855066299438477, 0.2285103052854538, -0.6104784607887268, 0.25048205256462097, 0.30282995104789734, 0.16711774468421936, -0.06364743411540985, 0.3459935784339905, -0.10819397866725922, -1.3846063613891602, 0.014904960058629513, 0.6436166763305664, 0.5049395561218262, -0.3106774389743805, 0.43254199624061584, 0.45143383741378784, -1.2471712827682495, 0.2503589689731598, -0.2521878182888031, -0.4300243556499481, 0.28354761004447937, -1.0433225631713867, 0.051510632038116455, 0.24282772839069366, 1.17717707157135, 0.4643843173980713, -0.06549063324928284, -0.20986002683639526, 0.2924831807613373, -0.29628807306289673, -0.127829909324646, -0.4806937277317047, 0.15569384396076202, 0.4696134924888611, 0.3769633173942566, -0.0011257617734372616, -0.7744162082672119, 0.057307835668325424, -0.7411906719207764, -0.9275214076042175, 0.4886426031589508, -1.1375218629837036, -0.7916797995567322, -0.559916079044342, -0.7293909192085266, -0.4235674738883972, -0.0595816895365715, -0.8654769062995911, 0.15996134281158447, -0.1567353457212448, 0.24191270768642426, -0.2601983845233917, -0.26093944907188416, -0.7922278046607971, -1.8774040937423706, -1.659974455833435, -1.8899189233779907, 0.6032214164733887, -1.284292459487915, -0.9042564630508423, -0.043829288333654404, -0.5697484016418457, 0.07165561616420746, 0.014437955804169178, 1.3221884965896606, 0.5668689608573914, 0.23561100661754608, -1.7598499059677124, -1.2254014015197754, -0.24328185617923737, -0.5353990793228149, 0.15329517424106598, -0.02497004345059395, -0.4035895764827728, 1.018294095993042, 0.22950050234794617, -0.3184494376182556, 1.0423847436904907, -0.018768347799777985, -0.8183628916740417, -0.6437653303146362, 0.23215053975582123, -0.5081937313079834, 0.36608102917671204, -0.07772094756364822, -0.951547384262085, 0.07045850157737732, 0.5346506237983704, -0.38833916187286377, 0.6337365508079529, -0.4425508677959442, 0.2541504502296448, 1.017708659172058, -0.5958963632583618, -0.08145489543676376, 0.2686055600643158, -1.483494758605957, -0.7471802234649658, 0.6847096085548401, -0.6169204115867615, -0.16766299307346344, -0.3791952431201935, 1.0487207174301147, -0.6100239753723145, 0.3561694920063019, 0.09978803247213364, -0.2725185453891754, 0.20504209399223328, 0.1515430212020874, -0.06401868164539337, -0.08221276849508286, -0.852725625038147, -0.707757294178009, -0.5846022367477417, -0.38207459449768066, 0.17920833826065063, -0.13575904071331024, 0.6363754868507385, 0.41388922929763794, 0.36431553959846497, -1.4371851682662964, -0.3673108220100403, -0.6363807916641235, 0.14542625844478607, -1.0362833738327026, 0.9193035364151001, 0.5332968235015869, -0.25763270258903503, 0.7864841818809509, -0.10453076660633087, 0.646142840385437, 1.0108613967895508, 0.40876874327659607, -0.829452633857727, 1.027078628540039, -0.5141902565956116, 0.48808684945106506, 0.08742259442806244, -1.174140453338623, -0.004205339588224888, 0.46692320704460144, 0.14312954246997833, 0.21584674715995789, -0.0475202351808548, 0.9652726650238037, -0.08848927915096283, 0.5294217467308044, -0.7580031156539917, -0.6665575504302979, 0.7548017501831055, 0.5405000448226929, -0.2125396728515625, 0.001101840054616332, 0.7966053485870361, 0.6378510594367981, -0.15525053441524506, -0.8756272196769714, 1.0605146884918213, 0.8196337819099426, -0.6376204490661621, 0.006524621043354273, -0.6776604652404785, -0.3297337591648102, -0.6195106506347656, 0.4063287377357483, 0.5477517247200012, -1.0158497095108032, 0.02205154486000538, -2.8690125942230225, -1.0874528884887695, -0.49623289704322815, -0.12144330888986588, 0.12313395738601685, -0.07195582985877991, 0.9680047035217285, -0.6712457537651062, -0.2982713282108307, 0.29420509934425354, -0.8522058725357056, -1.5752463340759277, -0.7516133189201355, 0.18371954560279846, 0.9966879487037659, -0.5628069043159485, 0.0302758626639843, 0.1688702255487442, -0.7723214626312256, -0.2660158574581146, 0.5294791460037231, 0.46899327635765076, 0.11583241820335388, 0.13406337797641754, 0.18906782567501068, 0.15551914274692535, 0.3251059055328369, 1.140383243560791, -0.26186403632164, -0.1349804699420929, -0.49398064613342285, 1.9129812717437744, -0.28333061933517456, -0.7785832285881042, 0.6913192272186279, -0.8857289552688599, -0.6688317656517029, -0.1961139738559723, -0.5882644653320312, -9.214237213134766, -0.039865899831056595, -0.46623122692108154, 0.23713183403015137, 0.08946049213409424, -0.2801474928855896, 1.321024775505066, -0.6979658603668213, 0.5688470005989075, 0.48903197050094604, 0.5428400039672852, 0.5986369252204895, -0.9986940026283264, -0.3529575765132904, -1.0507733821868896, -0.3901539146900177, 1.1966180801391602, 0.47427964210510254, -0.6677640676498413, -0.7278904318809509, -0.04255612567067146, -0.269414484500885, -0.3307054340839386, 0.26982951164245605, -0.13530300557613373, -0.05936036258935928, 0.08049258589744568, -0.07055390626192093, -1.161429762840271, 0.30666595697402954, 0.8944847583770752, 1.0986833572387695, 0.7783564925193787, 0.17659704387187958, 0.29520097374916077, -0.9605392217636108, 0.4618071913719177, 0.3666413724422455, -0.48354142904281616, -0.6603119373321533, 0.1632041186094284, 0.07363985478878021, 0.18278862535953522, -0.5693804025650024, -0.8127358555793762, -0.08742637932300568, 0.2461748868227005, -0.3833540081977844, 0.2610257863998413, -0.05378312990069389, 0.44962623715400696, 0.20198890566825867, -0.5172950625419617, -0.35735100507736206, 1.0717899799346924, 0.22718769311904907, -0.9147511124610901, -0.05682880058884621, -0.22857089340686798, 0.9797196388244629, -0.21493878960609436, -0.27914607524871826, 0.441264808177948, 0.08873424679040909, 0.5050221085548401, -0.31541264057159424, -0.1429673433303833, 0.12450654804706573, 1.0728319883346558, 1.0709290504455566, -0.47238898277282715, -0.9862556457519531, 1.3603954315185547, -0.2821613550186157, -0.7085623145103455, -1.0743942260742188, -0.1961366981267929, -0.30866503715515137, -0.5633849501609802, -0.858230710029602, 0.10726585239171982, 0.9161151647567749, -0.7254971861839294, 0.21984060108661652, -0.5176942348480225, 0.06348875910043716, -0.011883467435836792, -1.0143998861312866, -0.13381028175354004, 0.4957335889339447, -0.12355256825685501, 0.7623384594917297, -0.4975994825363159, 0.790941059589386, 0.5930428504943848, 0.05865633115172386, -0.6019039154052734, -0.7401596307754517, 0.28347933292388916, -1.4017101526260376, 0.4241434335708618, -0.409368634223938, -0.1910100132226944, 0.8174350261688232, 0.6101330518722534, 0.4592204689979553, -0.18441839516162872, -1.449683427810669, -0.3699718117713928, -0.6087813973426819, -0.0923672616481781, 0.48708170652389526, 0.1324167400598526, -0.3398524522781372, 0.34011122584342957, 0.9752625226974487, -0.2016628384590149, -0.15932786464691162, 0.3445476293563843, -0.6847051978111267, -1.0620505809783936, 0.5376166701316833, 0.6345859169960022, -0.09489277005195618, -0.7739977240562439, 1.4315295219421387, 0.46620041131973267, -1.1599655151367188, 1.228672981262207, 0.16234853863716125, 1.37209153175354, -0.09902913123369217, 0.35416802763938904, 1.9444286823272705, -0.45772579312324524, -0.20955230295658112, -0.11378251016139984, -0.3873767852783203, -0.693822979927063, -0.8986384272575378, -0.04050451144576073, 0.6788214445114136, -0.15648464858531952, 1.411331295967102, 0.1356678605079651, 0.25417980551719666, -0.6167157292366028, -0.2254672646522522, -0.32237598299980164, -0.9356617331504822, 0.6109519600868225, -0.8350822925567627, 0.07051704078912735, -1.1174037456512451, -0.12425024807453156, -0.18347956240177155, 1.5534812211990356, -0.002309341449290514, -0.44100746512413025, -0.1296560913324356, -0.5161516666412354, 0.5738557577133179, 0.9393911361694336, 1.3018887042999268, 0.7459052205085754, -0.5952805280685425, -1.3607275485992432, -0.1182875707745552, 0.13754865527153015, 0.61994868516922, -0.2532603442668915, -0.8697292804718018, 0.9621673226356506, 0.843679666519165, 0.32062140107154846, 1.2696175575256348, -0.4281231760978699, 0.29939958453178406, -0.01918267086148262, -1.6733980178833008, -0.11031588166952133, 0.25755080580711365, 0.1966341733932495, 0.02523227594792843, -1.7090983390808105, 1.260945439338684, 0.5588573217391968, -0.6361737251281738, -0.7131183743476868, 0.1640976071357727, 0.9844010472297668, 0.3752133846282959, 0.27497023344039917, 0.4106396436691284, -0.5919738411903381, 0.9644593000411987, 0.15489104390144348, 0.05369187891483307, -0.33690115809440613, 0.34098151326179504, -0.4548928439617157, -0.31975099444389343, -0.37438735365867615, 0.38998714089393616, -0.5771831274032593, 0.18542684614658356, 0.11985528469085693, 0.017318258062005043, -1.112494707107544, -1.3851031064987183, 1.0534509420394897, 0.4686688184738159 ]
190
0704.0192
Karen O'Neil
K. O'Neil, S. Oey, G. Bothun
Star Formation in Galaxies with Large Lower Surface Brightness Disks
50 pages; Full paper with all figures available at http://www.gb.nrao.edu/~koneil; Accepted by AJ
null
10.1086/518831
null
astro-ph
null
We present B, R, and Halpha imaging data of 19 large disk galaxies whose properties are intermediate between classical low surface brightness galaxies and ordinary high surface brightness galaxies. We use data taken from the Lowell 1.8m Perkins telescope to determine the galaxies' overall morphology, color, and star formation properties. Morphologically, the galaxies range from Sb through Irr and include galaxies with and without nuclear bars. The colors of the galaxies vary from B-R = 0.3 - 1.9, and most show at least a slight bluing of the colors with increasing radius. The Halpha images of these galaxies show an average star formation rate lower than is found for similar samples with higher surface brightness disks. Additionally, the galaxies studied have both higher gas mass-to-luminosity and diffuse Halpha emission than is found in higher surface brightness samples.
[ { "created": "Mon, 2 Apr 2007 13:40:25 GMT", "version": "v1" } ]
2009-11-13
[ [ "O'Neil", "K.", "" ], [ "Oey", "S.", "" ], [ "Bothun", "G.", "" ] ]
07
[ -0.5424870848655701, 0.09853765368461609, 0.5605950951576233, 0.1459696739912033, 1.062013864517212, 0.11715450882911682, 0.6296250224113464, 0.5385034084320068, -1.2752022743225098, -1.0992021560668945, -0.5557032823562622, -0.7003130912780762, -0.09364091604948044, 1.0114282369613647, -0.3353111147880554, -0.7029057741165161, -0.8169173002243042, -0.24802619218826294, 0.34454628825187683, 0.7479814291000366, 0.39894041419029236, 0.4217261075973511, -0.8665740489959717, 0.14896810054779053, -0.21343645453453064, -1.370739459991455, 0.8033867478370667, 0.309038370847702, -0.06110503524541855, 0.05850280076265335, 0.5762032270431519, -0.09177912771701813, 0.746661365032196, -0.4850560128688812, 0.18086020648479462, -0.6547999382019043, 0.3055747449398041, 0.03662223368883133, 0.04004588723182678, -0.008180101402103901, -1.9465559720993042, 0.6669331192970276, 1.0429444313049316, -1.6224462985992432, -0.9181931018829346, -0.4037269353866577, 0.8071483969688416, 0.23724918067455292, 0.7869787216186523, -0.5357804298400879, -0.7663320899009705, 0.00025110828573815525, 0.09576422721147537, -0.08908393979072571, 1.007393717765808, -0.06403900682926178, -0.7900294661521912, -0.3379138708114624, -0.569083571434021, -0.4753008484840393, -0.2446940839290619, -1.2904647588729858, 0.2681712508201599, 0.0808003693819046, 0.12105828523635864, -0.5573729276657104, -1.344164490699768, -1.030163049697876, 1.3469502925872803, -0.19926756620407104, 0.0279154721647501, -0.9116103649139404, -0.37950414419174194, 0.37669479846954346, -0.9553092122077942, 1.1866905689239502, 0.3541976511478424, -0.362515926361084, 0.009344203397631645, 0.6248248815536499, -1.4540839195251465, 0.2806711494922638, -0.8185558319091797, -0.7830438613891602, -0.10632390528917313, -0.3082769215106964, 0.6531339287757874, -0.6692327857017517, -0.21890529990196228, -0.74409019947052, 0.07444632798433304, -0.9640615582466125, -0.019755620509386063, -0.2799748480319977, -0.0836857408285141, 0.49351945519447327, 0.34045395255088806, 1.1495978832244873, 0.5425007939338684, 1.2000547647476196, 0.16349783539772034, 0.3873700797557831, -0.07964470982551575, -0.952551007270813, 1.6242660284042358, -0.05967983603477478, 0.10794726759195328, -0.6451045870780945, -0.031203821301460266, -0.10856204479932785, -0.5435724854469299, 0.9553978443145752, -0.9157646298408508, 0.6453163027763367, -0.39153072237968445, 0.7603811621665955, -0.8154000043869019, -0.5383963584899902, 0.5296201109886169, -1.6984226703643799, -1.0792070627212524, -0.02643342688679695, -0.9366642236709595, -0.7581796050071716, -0.36514177918434143, 0.28864672780036926, 0.21263743937015533, -0.09635169059038162, 0.023894650861620903, -0.5827379822731018, -0.999860405921936, -0.4076942801475525, -0.8282938003540039, 0.19260947406291962, -0.10882997512817383, -0.45805856585502625, -0.8689797520637512, -0.803618848323822, -0.011423192918300629, 0.08008884638547897, -1.5386430025100708, -1.0093821287155151, 0.5727362632751465, -0.8201080560684204, -0.18555381894111633, -0.0888037458062172, 0.9066492915153503, 0.9490500688552856, 1.141894817352295, -1.3765822649002075, 0.4502940773963928, -1.0444995164871216, -0.5711914896965027, 0.17817464470863342, 0.23904035985469818, -0.19942866265773773, 0.5466964244842529, 1.3701412677764893, 0.8465613722801208, 1.0442755222320557, -0.41651055216789246, 0.8724227547645569, -0.22963236272335052, 2.221088409423828, 0.0012481750454753637, -0.37631821632385254, 1.270930290222168, -1.0443240404129028, -0.1359473615884781, -0.1993253082036972, 0.49371209740638733, 0.37962260842323303, -1.9371581077575684, -0.255126416683197, -1.220825433731079, -0.08881771564483643, 0.1837679147720337, -0.4035159647464752, 0.00007244042353704572, -1.851523756980896, -0.32828661799430847, -0.1718752086162567, 1.0853371620178223, 0.008061650209128857, -0.48788487911224365, 0.8616496920585632, -0.6377496123313904, -0.9036417007446289, -0.0604703463613987, 0.10092614591121674, 0.0513729490339756, 0.2602538466453552, -0.5775253772735596, -0.2099665105342865, -0.30453649163246155, -1.0371955633163452, -1.336798906326294, 0.5534548163414001, -0.33635079860687256, -0.11492740362882614, 0.9047385454177856, 0.3404173254966736, 0.1605355590581894, 1.3106566667556763, -1.2402193546295166, 0.6736520528793335, 0.016608024016022682, 0.7417119741439819, 2.0741145610809326, 0.8344400525093079, -0.5687760710716248, 1.1211636066436768, 0.9984310865402222, 1.0926017761230469, 0.9340188503265381, 0.8136401772499084, 0.7482611536979675, -0.6956066489219666, 0.7310521006584167, -0.1405506730079651, -0.3006305694580078, -0.13232605159282684, 1.0272303819656372, -0.6482177972793579, -0.03772664815187454, -0.2965945303440094, 0.6163901686668396, -1.3522796630859375, 0.8242604732513428, -0.2082551121711731, -0.22225429117679596, -0.35976842045783997, -0.6815612316131592, -0.5029253959655762, -0.3058573305606842, -0.664160966873169, -1.4561347961425781, -0.9090234637260437, 0.34727969765663147, -1.8449403047561646, 0.6188221573829651, 1.3988330364227295, -0.15818361937999725, -0.41428038477897644, -0.059373557567596436, -0.017215153202414513, -0.4073139727115631, 0.3800346851348877, -0.46790242195129395, -0.03186533600091934, -0.5973914861679077, -0.4146818220615387, -0.8928442001342773, -1.7866690158843994, 0.09806821495294571, -1.010787010192871, 0.1528485268354416, -1.000104308128357, -0.4037589728832245, -0.473466157913208, -0.7262117266654968, -0.13214538991451263, -0.231901153922081, 0.21765707433223724, 0.1777871996164322, -1.065967082977295, -0.1754794716835022, -0.6631466150283813, -0.07096126675605774, 1.2145901918411255, -0.5489403605461121, 0.8681583404541016, 1.404719591140747, 0.4631848633289337, -0.4830631911754608, 0.40920162200927734, -0.4811203181743622, -1.196712851524353, -1.2025880813598633, -1.4212446212768555, 0.16304044425487518, -1.6664401292800903, 0.23235133290290833, 1.4128413200378418, 0.26433542370796204, -0.0269912239164114, -0.6946043968200684, -0.43448320031166077, -0.7830568552017212, 0.6640501022338867, -0.11271920800209045, -0.31895020604133606, 1.021286964416504, 0.06416800618171692, -0.5682050585746765, -0.07489429414272308, 0.4183974862098694, -0.1982066035270691, 0.16225175559520721, 0.1853795349597931, 1.2797999382019043, -0.2805568277835846, -0.14715933799743652, 0.1006970927119255, 2.0839829444885254, -0.09771624952554703, -0.24199022352695465, -0.5408179759979248, 0.2174071967601776, -1.07276451587677, 0.3245076835155487, 0.4863338768482208, 0.20739422738552094, -0.41834351420402527, 0.8675650358200073, 0.291198194026947, -0.0055803218856453896, -0.3103785514831543, -0.47595861554145813, -1.4019737243652344, -0.3110826015472412, -0.4403577446937561, -0.8549461364746094, 0.6891412734985352, -0.07412786781787872, -0.22297388315200806, -0.07437178492546082, -0.10356397926807404, 0.6787217855453491, 0.16555771231651306, -0.07619895786046982, 0.4861461818218231, 1.045290231704712, 0.38173338770866394, 1.104546070098877, 0.15091712772846222, -0.27511176466941833, 1.4461171627044678, -0.2889837920665741, -1.0225048065185547, 0.747288703918457, 0.05779692903161049, 0.7950243949890137, 1.3955830335617065, -2.290456533432007, -0.025451434776186943, 0.1370924711227417, -0.4164339601993561, 0.555851936340332, 2.17621111869812, 0.8771701455116272, 0.5682867169380188, -0.9457380771636963, -1.0855908393859863, -1.6023985147476196, -0.18885822594165802, 0.24718928337097168, 1.4864860773086548, -1.1069339513778687, 0.894307017326355, -0.8104810118675232, 1.1743699312210083, 0.024182241410017014, 0.5160201191902161, 1.052868366241455, -1.0072808265686035, -0.2377864420413971, -0.056103114038705826, 0.47803378105163574, -0.06917313486337662, -0.20028799772262573, -0.0793956071138382, 0.024038881063461304, 0.005906413774937391, -0.5819487571716309, -0.9077460169792175, 1.3716059923171997, -0.6545220017433167, 0.3286283612251282, 0.016979681327939034, -1.0122491121292114, -0.4479213058948517, 0.4225758910179138, 0.14552253484725952, 0.4746226668357849, 0.09973254799842834, -0.6173564195632935, -0.4241311550140381, 0.5672814846038818, -0.6323562860488892, 0.19830961525440216, -0.2809879183769226, -0.3087165355682373, -0.38825637102127075, -0.5353018641471863, 0.9429209232330322, -1.5043264627456665, -0.5523228049278259, 1.4556564092636108, 0.637220561504364, -1.3996559381484985, 0.0798967108130455, -0.318987637758255, -0.4767540693283081, -2.408588409423828, 0.6528021097183228, -0.8082075119018555, 1.071150302886963, 0.07448198646306992, 0.9957269430160522, -0.5086616277694702, -1.0137726068496704, 0.00723303621634841, -0.15299288928508759, 0.18244777619838715, -0.853764533996582, 0.06068401038646698, 0.1869455724954605, -0.715481698513031, -1.0853655338287354, 0.3320857286453247, 0.15403962135314941, 0.42463064193725586, 0.040965061634778976, -0.30860263109207153, -0.5861955881118774, 0.3782211244106293, 0.23198990523815155, 0.7357257604598999, 1.017320156097412, -0.19711333513259888, -0.5764306783676147, -0.1524103581905365, -0.07771861553192139, -0.21451561152935028, 0.06535401940345764, -1.8375673294067383, 0.6226125955581665, -0.27581706643104553, 0.17787127196788788, 0.27050140500068665, -1.1126248836517334, -0.21759867668151855, -1.0741031169891357, 0.1909293830394745, -1.3614627122879028, -0.2152881920337677, -0.10653076320886612, -1.1859385967254639, 0.5059346556663513, 1.034350872039795, 1.0224659442901611, 0.7716260552406311, -0.14542683959007263, 0.6771765351295471, -0.21581095457077026, -0.7459599375724792, 1.3308286666870117, 0.2430596798658371, 0.33750006556510925, 0.8718938827514648, 0.3923349678516388, -1.87919282913208, 1.3148716688156128, -1.4192783832550049, -0.18774263560771942, 0.9591635465621948, -0.3290656507015228, 0.8852119445800781, 0.9933630228042603, 0.5640008449554443, 0.22221097350120544, -0.3442177176475525, -1.0803470611572266, 1.1748626232147217, 0.47905129194259644, 0.05382196232676506, -0.5495373606681824, 0.1974189430475235, 0.4790213704109192, 0.48550158739089966, 0.2054925113916397, -0.09213763475418091, -0.6988473534584045, -0.09249207377433777, 0.8613038659095764, -0.7485887408256531, -0.7317203879356384, -0.0025528287515044212, -0.1724577695131302, -0.5742605924606323, -0.16708222031593323, 0.6280259490013123, 0.42219895124435425, -1.3794115781784058, -0.03757459297776222, -0.07294505089521408, 0.5213766694068909, -0.06901697814464569, 0.07714381068944931, 0.4771857261657715, 0.6448180079460144, 0.6242994070053101, 1.8015204668045044, 0.8868405818939209, 0.3742223381996155, -0.6373772621154785, 1.2227132320404053, -0.6207221150398254, 0.18581588566303253, -0.36453989148139954, -0.4915718734264374, 1.5319993495941162, -1.550737738609314, -0.12870514392852783, 0.7781809568405151, -0.29814067482948303, -1.6090364456176758, 0.8861650824546814, -1.2977933883666992, 0.11718888580799103, 0.20550784468650818, 0.36009681224823, -1.0823397636413574, 0.04806136339902878, 0.5610164403915405, 2.2645657062530518, 0.20240741968154907, 0.6496656537055969, -0.022884629666805267, -0.6123076677322388, 1.1634321212768555, 0.14789168536663055, -0.6277232766151428, 0.122348353266716, -1.094423770904541, 0.5237765312194824, -0.6302375197410583, 0.17346026003360748, -0.8799344897270203, 0.30136024951934814, 0.4407576024532318, 0.528388500213623, 0.40822264552116394, -0.11976275593042374, -0.40175148844718933, 1.576453447341919, -0.5462564826011658, 0.15965993702411652, -0.041216690093278885, 0.031156601384282112, -0.24383148550987244, 1.1453369855880737, 0.14627167582511902, -0.6264728307723999, 0.41831403970718384, -7.131474494934082, -0.18082204461097717, 0.2377035766839981, 0.03526807576417923, -0.4745735228061676, 0.5424922704696655, -0.22289228439331055, 0.5392367243766785, -0.7494130730628967, 0.3048698902130127, -0.2317899465560913, -0.1550961136817932, 0.4502734839916229, -0.3174770474433899, -0.35500821471214294, 0.31909841299057007, 0.7606456279754639, 0.10779273509979248, 0.4717310667037964, 1.2309499979019165, 0.4982586205005646, -0.3284442126750946, 1.2127784490585327, 0.2113601118326187, -0.8831290602684021, -0.4470811188220978, -0.4701627790927887, -1.2166391611099243, -1.3545353412628174, -0.3379778563976288, -0.9133550524711609, 1.1392226219177246, 1.0448306798934937, -0.04836270213127136, -1.075786828994751, -0.27996209263801575, -0.9857245087623596, -0.6001617312431335, 0.4261589050292969, 0.08967691659927368, -0.20975792407989502, 0.8103994131088257, -1.3095449209213257, -0.19047218561172485, -0.6179937720298767, -0.44458654522895813, -0.1922038197517395, 0.8812468647956848, 0.883649468421936, -0.04015543311834335, 0.20526853203773499, -0.9853662848472595, 0.002330813556909561, -0.52556312084198, 1.1271604299545288, -0.22273513674736023, 0.02849418856203556, -0.6874729990959167, -0.3262781798839569, -1.288786768913269, 1.2932991981506348, 0.5817409157752991, -0.9615288376808167, -0.6243821978569031, 0.3551386892795563, -0.834312915802002, -0.8789492845535278, 0.8210660815238953, 0.48651283979415894, 0.9813873767852783, 0.28335872292518616, 0.5295242667198181, -0.32541990280151367, 1.179673671722412, 0.32085657119750977, 0.3004988133907318, -0.8668327927589417, 0.31191450357437134, 0.1039922684431076, 0.9219214916229248, -1.0139378309249878, 0.5666097402572632, -0.326486200094223, 0.342460036277771, -0.7043663263320923, 0.9059839844703674, 0.2684020400047302, 0.9043484330177307, -0.10784554481506348, -1.304907202720642, -0.2640545070171356, 0.9588956832885742, -0.10502200573682785, -0.08921241015195847, 0.030892306938767433, -0.6274402141571045, 1.2757470607757568, -0.16603544354438782, 0.5756322741508484, -1.253581166267395, 0.9420998692512512, 0.6261799931526184, 0.14385433495044708, -0.13374261558055878, -0.4450005292892456, 1.2802987098693848, -0.5945742726325989, -0.4077107906341553, -0.6763567924499512, 0.01270947977900505, -1.1316986083984375, -0.5190293788909912, -0.013868200592696667, 0.8686985969543457, 0.14534345269203186, -0.1066843718290329, -0.417268306016922, 0.6924406290054321, -1.0653176307678223, 0.1202036663889885, -0.3511165976524353, -0.19115838408470154, -1.8879058361053467, -0.37918755412101746, -0.5495849847793579, 0.6038633584976196, -0.7974220514297485, -0.06286866217851639, 0.1243710070848465, -0.8150987029075623, -0.4475361108779907, 0.41269510984420776, 0.22900816798210144, -1.2688180208206177, -0.6399460434913635, 1.6983046531677246, 0.6037958264350891, -0.5108888745307922, -0.6709530353546143, -0.38559016585350037, 0.38791537284851074, 0.00490027479827404, 0.5808669924736023, -1.5492573976516724, -0.2407873272895813, -0.08048713207244873, -0.7616401314735413, -0.18262678384780884, -0.36003613471984863, -0.01149475947022438, 0.17074863612651825, -0.24213190376758575, -0.4020221531391144, -0.2822624742984772, 1.0559155941009521, 0.641013503074646, -0.43201157450675964, 0.01286448072642088, 0.4679862856864929, 0.7981274127960205, 0.8061766028404236, -0.3708246648311615, -0.8622959852218628, -0.10936839133501053, 0.5272006392478943, 0.3375985324382782, 0.381028950214386, -0.13895100355148315, -1.3011479377746582, -0.4370521903038025, -0.5378661155700684, -0.3965073525905609, -1.0063471794128418, 0.8729991316795349, 1.1638331413269043, -1.032507300376892, -0.25791463255882263, 0.9142878651618958, -1.1265524625778198, -1.159376859664917, 0.5874297022819519, 1.6643444299697876, 0.24033813178539276, -0.8021312355995178, -0.9384984970092773, 0.4777255058288574, -0.5413403511047363, 0.02956961654126644, 0.10566169768571854, -0.6922008395195007, 0.6087087392807007, 0.8776705265045166, -0.49358516931533813, 1.3741661310195923, -1.2792365550994873, -0.2847250699996948, -0.32576999068260193, 0.012997111305594444, 0.48825347423553467, 0.15638069808483124, 0.5728623270988464, 1.0827938318252563, -0.007832278497517109, 0.059110190719366074, -0.04847126454114914, 0.18147216737270355, 0.009744278155267239, 0.24124161899089813, 0.4887886643409729, -0.41839465498924255, 0.8012104034423828, 0.1787855178117752 ]
191
0704.0193
Shengjun Yuan
Shengjun Yuan, Hans De Raedt, Seiji Miyashita
Domain Wall Dynamics near a Quantum Critical Point
to appear in Phys. Rev. B
Phys. Rev. B 75, 184305 (2007)
10.1103/PhysRevB.75.184305
null
cond-mat.mtrl-sci cond-mat.stat-mech
null
We study the real-time domain-wall dynamics near a quantum critical point of the one-dimensional anisotropic ferromagnetic spin 1/2 chain. By numerical simulation, we find the domain wall is dynamically stable in the Heisenberg-Ising model. Near the quantum critical point, the width of the domain wall diverges as $(\Delta -1) ^{-1/2}$.
[ { "created": "Mon, 2 Apr 2007 13:45:06 GMT", "version": "v1" } ]
2007-11-15
[ [ "Yuan", "Shengjun", "" ], [ "De Raedt", "Hans", "" ], [ "Miyashita", "Seiji", "" ] ]
07
[ 0.724454939365387, -0.8769319653511047, 0.4526419937610626, 0.03351093828678131, 0.30697792768478394, -0.3324683904647827, 0.014813274145126343, -0.5456827878952026, 0.3735635578632355, 0.20332999527454376, -0.3753664195537567, -0.0887303426861763, 0.3013080358505249, 0.9503368735313416, 0.0882280245423317, -0.05386996269226074, -0.9172142148017883, 0.054430581629276276, 0.6047877669334412, -0.25661951303482056, 0.2937585413455963, 0.5512526035308838, 0.8362647294998169, -0.8806655406951904, -0.5268443822860718, 0.8578146696090698, -0.695036768913269, 1.1156524419784546, -0.8126925826072693, -0.07543321698904037, -0.7584943175315857, -0.6116709113121033, 0.8751633167266846, -0.3797854781150818, 0.1635083556175232, 0.29385051131248474, 0.7307085394859314, 0.6869799494743347, -0.7971474528312683, 0.6799907088279724, -0.10893943905830383, 1.3791605234146118, -0.8814764022827148, 0.5349663496017456, -1.9924710988998413, -0.0818440318107605, -1.336769938468933, -2.472137212753296, -0.0889379233121872, 0.1785278469324112, 0.2588445842266083, 0.9524733424186707, 0.1530395895242691, -0.552655816078186, -0.10865246504545212, 0.5256115198135376, -0.7105056643486023, 0.49770987033843994, 0.3799453377723694, -1.1111782789230347, -0.6482841968536377, 0.4907431900501251, -0.09825798124074936, -0.25634095072746277, 0.2569301426410675, 0.2838048040866852, 0.8745958209037781, 0.6476312875747681, 0.7778519988059998, 1.1935564279556274, 0.9114609956741333, -1.0909397602081299, -0.5285520553588867, -0.09658689051866531, 0.794847309589386, 0.042775169014930725, 0.3412959575653076, 0.9414835572242737, -0.1805429607629776, 0.7264759540557861, 1.0687543153762817, 1.06869375705719, 0.31451499462127686, -0.6765412092208862, 0.08024854958057404, 0.1701745092868805, 1.538173794746399, 0.8040730357170105, 0.9708144664764404, -1.337602138519287, 0.4406973123550415, -0.5206521153450012, 1.4706696271896362, -0.551584780216217, 0.06944085657596588, -0.1489449441432953, -0.04902219399809837, -0.23846520483493805, 0.20754815638065338, 0.2035931646823883, 0.375957727432251, 0.799031674861908, -0.16684985160827637, -0.2920280694961548, -0.616235077381134, 0.43469300866127014, -0.020396800711750984, -0.6517871618270874, 1.5271320343017578, 0.7198323011398315, -1.3782414197921753, -0.4659791588783264, 0.2292051464319229, -0.4618458151817322, -1.403969407081604, -0.7444189190864563, 0.24278752505779266, 0.06277435272932053, -0.08208364993333817, 0.368180513381958, -0.0847044512629509, -0.23786021769046783, -0.37166064977645874, 0.41738900542259216, 0.10393039137125015, 1.1332600116729736, -0.27166715264320374, -0.9174699783325195, -0.286845326423645, -0.3699433505535126, -0.8119832873344421, 0.13511012494564056, -0.22487667202949524, -0.44955357909202576, 0.5087698101997375, 1.0128076076507568, -0.9707269668579102, -0.052380017936229706, -0.8385317325592041, -0.5625316500663757, 0.4704104959964752, 0.028757717460393906, -0.5381579399108887, -0.4210952818393707, 0.34563469886779785, -0.7400751709938049, -0.8113725781440735, 0.039181798696517944, 1.0142241716384888, 0.7363792061805725, -0.4879300594329834, 0.1494470238685608, 0.24713869392871857, 0.8630132675170898, -0.47614285349845886, -0.8322613835334778, 0.992522120475769, 1.2416927814483643, 0.7064492106437683, 0.8773714900016785, 0.6730114817619324, 0.42797383666038513, 0.9651707410812378, -1.0934258699417114, 0.0206568855792284, 0.26390916109085083, 0.6193628907203674, 0.6279575824737549, -0.3299767076969147, 0.6932004690170288, 0.05505708232522011, 0.291038453578949, -1.651951789855957, -1.1289149522781372, 0.8990646600723267, 0.5312367677688599, 0.6356850862503052, -0.5911595225334167, 0.36032041907310486, 0.490230530500412, -0.025231095030903816, -0.909491240978241, -0.38675177097320557, 1.0000687837600708, -0.8533890843391418, 0.5014835000038147, 1.1980332136154175, -0.8528109192848206, -0.592932939529419, -1.069794774055481, -0.19531819224357605, 0.15783308446407318, -1.6609883308410645, -1.8150373697280884, -0.4727998673915863, 1.2865487337112427, -0.18947601318359375, 0.08710189163684845, -0.41893789172172546, -1.1056169271469116, -0.25466129183769226, 1.3573943376541138, -1.1531386375427246, -0.11968009918928146, -0.4462820291519165, 0.763633668422699, -0.30909332633018494, -1.5934176445007324, -0.2215718924999237, -0.41089171171188354, -0.7309567928314209, -0.22206911444664001, -0.03830145299434662, 0.15806695818901062, -0.4684216380119324, -0.5785577297210693, -0.7070415019989014, 1.0456974506378174, 0.2680060863494873, -0.7362303733825684, -0.006148704793304205, -0.3114887773990631, -0.8198794722557068, -0.5857665538787842, 1.0752344131469727, -0.2821180820465088, -0.020580677315592766, -0.2601966857910156, -0.06539487838745117, -1.0046430826187134, 1.1655304431915283, 0.44962266087532043, 0.19167286157608032, -0.5970467925071716, 0.36962780356407166, -0.6461599469184875, 0.15898293256759644, 0.3598310053348541, -0.8745648264884949, -0.42188361287117004, -0.1446305811405182, -0.011804413050413132, -0.5357532501220703, -0.4020825922489166, -0.46038737893104553, -0.7529445290565491, 0.32391607761383057, 0.2111540138721466, -0.7605419754981995, 0.579383134841919, -0.15491390228271484, -0.22483451664447784, -0.08402320742607117, -0.4215238690376282, -0.426013320684433, -0.2693345546722412, -0.18667931854724884, 0.07034603506326675, -0.9489980340003967, 0.5079584717750549, 0.8075100183486938, -0.6141296029090881, 0.22960007190704346, -0.08675594627857208, -0.15487906336784363, 0.41836488246917725, -0.33192023634910583, -0.21254335343837738, -0.2071218341588974, 0.46428218483924866, -0.14691278338432312, -0.1395215541124344, -1.1151930093765259, 0.4149784743785858, 0.5631687641143799, -0.33679914474487305, -0.037660591304302216, 0.8779420852661133, 0.3279935419559479, 1.517258882522583, -0.201192706823349, -0.756007194519043, 0.3116775453090668, 0.2382701188325882, -0.013987154699862003, 0.21095362305641174, -0.33905383944511414, -1.291504979133606, 0.3857690393924713, -0.12941570580005646, -0.09873520582914352, 1.1739301681518555, 0.22065764665603638, -0.04164133220911026, -1.0841526985168457, -0.4287831783294678, -0.5264738202095032, -0.5816559791564941, 0.1435699164867401, 0.1233525201678276, -0.27262723445892334, -0.29667648673057556, -0.09149470180273056, 1.1743969917297363, -0.38062426447868347, -0.36901387572288513, -0.22108496725559235, -1.1497019529342651, 1.3249711990356445, 0.25332313776016235, -1.169276475906372, 0.4192439317703247, 0.09925012290477753, 0.05327876657247543, 0.460201233625412, -0.5404232144355774, -0.3592005670070648, 0.31792083382606506, -0.6149952411651611, -0.559240460395813, 0.04970252886414528, -0.12607558071613312, 0.5190932154655457, 0.13554362952709198, -1.3139026165008545, -0.5818511843681335, -0.22523850202560425, 0.3586243689060211, 0.8697786331176758, 0.14221765100955963, -0.4443141520023346, 0.5652574300765991, -1.6065739393234253, -1.8603566884994507, 0.08284852653741837, -0.20163793861865997, -0.20949916541576385, -0.890178382396698, 1.1298516988754272, -0.831353485584259, -0.628336489200592, 1.1886773109436035, 1.3418083190917969, -0.5922279953956604, -0.5782703757286072, 0.149672269821167, 0.648034393787384, -0.017410656437277794, -0.015243060886859894, -0.0649372935295105, 0.09490048885345459, -1.4500701427459717, 0.246224045753479, -0.33279114961624146, -0.070685476064682, 0.24066144227981567, 0.340991348028183, 0.785670816898346, -0.23631200194358826, 0.39946359395980835, 0.6438063383102417, 0.3911246061325073, 1.0777206420898438, 0.5607779026031494, 0.13892334699630737, -0.8748195767402649, -0.34820497035980225, -0.7795002460479736, -0.5647011399269104, -1.800966501235962, 0.9421036243438721, 0.06116654351353645, 1.2298691272735596, 0.1721421629190445, -0.8515201210975647, -1.0803529024124146, 0.08578035980463028, 0.8029526472091675, 0.8356320261955261, -0.7182053327560425, 0.20803657174110413, 0.597573459148407, 0.1417170614004135, -1.0820897817611694, 0.33261093497276306, -0.8709249496459961, 0.6597410440444946, 0.29694727063179016, 0.11618071049451828, 0.2592940628528595, -1.0082638263702393, 1.3844021558761597, 0.3568803668022156, -0.05257061496376991, -0.08282983303070068, 0.11433756351470947, 1.2740458250045776, 0.33984872698783875, 0.2019394189119339, -0.4989873766899109, 0.035163696855306625, -0.4593268930912018, -1.0250428915023804, 2.2425475120544434, -0.1675199419260025, 0.8005039691925049, 0.5543724298477173, -0.3537997901439667, 0.6377544403076172, 1.0334392786026, -1.357633352279663, 0.8601532578468323, 0.4471774995326996, 0.09618602693080902, -0.6640731692314148, -0.19220221042633057, -1.0143526792526245, 0.30064821243286133, -0.19246751070022583, 1.5090773105621338, 0.345917671918869, -0.06264528632164001, 0.4669850766658783, 0.20308661460876465, 1.0480868816375732, 0.09172665327787399, -0.8174324631690979, 0.6282125115394592, -0.3621899485588074, 0.29304030537605286, 1.0988552570343018, 0.05311976373195648, -1.0845314264297485, 1.5369843244552612, -0.7833390235900879, -1.089849591255188, -0.23027735948562622, -0.27665945887565613, 0.34162184596061707, 0.4742582440376282, -0.2594965696334839, 0.8872225284576416, -0.341621994972229, -0.7367569804191589, 0.7511548399925232, -1.8883551359176636, -0.3188472390174866, 0.5325746536254883, 0.8988165259361267, -0.2825287878513336, -0.3144974112510681, -0.376205712556839, -0.6262123584747314, 0.07599121332168579, 0.0736398920416832, -0.5834507942199707, -1.1181477308273315, 2.110947608947754, -0.1923183649778366, -0.5948361754417419, -1.0826196670532227, -0.24359165132045746, -0.6529386043548584, -1.0627721548080444, 0.09420982003211975, -0.9290965795516968, 0.08201808482408524, 0.3671927750110626, 1.0892212390899658, 0.4872082769870758, 0.9109320640563965, 0.2562003433704376, -0.22096680104732513, -0.34374961256980896, 0.8079001307487488, -1.6056468486785889, -1.2127455472946167, -0.49714383482933044, -0.16026152670383453, 1.1994043588638306, 1.0990134477615356, 0.39510807394981384, 0.9978578686714172, 0.420463502407074, -0.04893732815980911, -1.2449722290039062, -1.5539788007736206, 0.373581200838089, -1.5904000997543335, 0.12121191620826721, 0.07700950652360916, -1.3116134405136108, -0.017269108444452286, 0.4833528995513916, 1.8974746465682983, 0.32847389578819275, 0.44431909918785095, -0.5526977777481079, 0.48227864503860474, -1.2797404527664185, 0.6269296407699585, 0.8111083507537842, -0.2603764235973358, 0.019307667389512062, -0.7317747473716736, 0.5157745480537415, -0.7715564370155334, 1.2813998460769653, 0.3494367301464081, 1.5986987352371216, -0.43907293677330017, -0.21770049631595612, -0.1335071176290512, -0.18856094777584076, -0.22540995478630066, -1.5703132152557373, -0.25507691502571106, -3.280208110809326, -1.0561954975128174, -0.6473995447158813, -0.18790695071220398, 0.013845126144587994, 0.4439222812652588, -0.07743100821971893, 0.14982739090919495, 0.24125723540782928, 0.04339710995554924, -0.9173582196235657, -1.556650996208191, 0.23094436526298523, -0.18546421825885773, 0.17218241095542908, 0.32298365235328674, 0.8475583791732788, 1.4333391189575195, 0.3029174506664276, 1.1224216222763062, 0.6908151507377625, -0.3083251416683197, 0.34279462695121765, -0.028978126123547554, -1.0209476947784424, -0.35519343614578247, -0.4185503423213959, -0.21448802947998047, 0.4804554283618927, -0.003814193420112133, 0.9867736101150513, -0.9777176976203918, -0.1246977373957634, -0.3404206931591034, -0.4230971932411194, -0.4750637412071228, -0.04829886928200722, -0.47638025879859924, -1.1622962951660156, -6.886649131774902, -0.18020828068256378, -0.4393700957298279, -0.3259776830673218, 0.9643692374229431, -0.3917228877544403, -0.5688047409057617, 0.4020550549030304, 0.16940967738628387, -0.48380547761917114, 0.3778579831123352, 0.12399858981370926, -0.3957333564758301, -0.6607946753501892, -0.23974037170410156, -0.3220534920692444, 1.589447259902954, 1.236396074295044, -0.14096616208553314, -0.28366389870643616, -1.0715301036834717, -0.6408872008323669, 0.03778887912631035, -0.5171419382095337, -0.6784819960594177, 0.47764527797698975, -0.4862755835056305, -0.49479973316192627, -0.6286994218826294, -0.4122624397277832, -0.6128647923469543, 0.7412442564964294, -1.0370979309082031, 0.806121826171875, 1.089469075202942, 0.005915916059166193, 1.2496204376220703, 1.2380472421646118, -0.06361421197652817, -0.10270781815052032, 0.7180439233779907, -0.8462859392166138, 0.3357776403427124, 0.0633770078420639, -0.20003968477249146, 0.7731611728668213, -0.5942450165748596, -1.4385814666748047, -1.0770424604415894, -0.20721852779388428, -0.01085315179079771, 0.5424213409423828, 0.11431983858346939, 0.30401524901390076, -2.408066987991333, -0.2518363296985626, -0.35513773560523987, -0.03295331075787544, -0.7843459248542786, -0.6863870024681091, -0.08936470001935959, 1.2964154481887817, 1.0123881101608276, 1.103041410446167, -1.51200270652771, -0.06054763123393059, 0.6803133487701416, -0.23106732964515686, -1.2864717245101929, 0.5520498752593994, 0.6458835005760193, -2.3253934383392334, 0.12516458332538605, 0.27516400814056396, -0.25923430919647217, -0.5479720234870911, 0.30101653933525085, 0.6376579403877258, 0.5627749562263489, 1.0110408067703247, -0.831296443939209, -0.8240078091621399, 0.3649439513683319, -1.2773300409317017, 0.05520965903997421, -0.7336490154266357, -0.3847006857395172, -0.3957901895046234, 0.17218494415283203, 0.6265355348587036, -0.5303261876106262, 0.06185617297887802, 0.42746177315711975, 0.11441462486982346, -0.5075526833534241, -0.17053359746932983, 0.23988604545593262, -0.938855767250061, -0.07014879584312439, 1.5820069313049316, -2.2187561988830566, -0.7868334054946899, -0.5720571875572205, 0.6028768420219421, 1.1704223155975342, -0.14622920751571655, -2.5418202877044678, 1.439288854598999, 1.3514440059661865, -1.5388435125350952, -0.9084726572036743, 1.7978439331054688, -0.2067025601863861, 0.06336963176727295, -0.08785956352949142, 0.6581302285194397, -0.6585261821746826, 0.5680516362190247, -0.3975259065628052, -0.2611500918865204, 0.08078508079051971, 0.7452853322029114, 0.6093724370002747, 0.5145693421363831, 0.5998116135597229, -0.4536771774291992, 0.017713358625769615, 0.07731829583644867, 0.14057806134223938, 0.037062857300043106, -0.28736647963523865, -0.6513987183570862, -1.005843162536621, 1.4827359914779663, 0.19477206468582153, -0.23481470346450806, -0.9189254641532898, 0.4049171209335327, 1.035007119178772, -0.062257349491119385, 1.0445724725723267, 0.7754045128822327, 0.11021598428487778, -0.3331867456436157, 0.14721545577049255, -1.0795371532440186, 0.8978615999221802, -0.6057763695716858, -0.7521079182624817, -1.10527765750885, 0.48483219742774963, -0.5089609026908875, 0.504467785358429, 0.08826057612895966, 0.2883790135383606, -0.060237180441617966, 0.4971317648887634, 0.24559004604816437, -0.6871540546417236, -1.130226731300354, -0.329787939786911, -0.22473366558551788, 1.0666958093643188, 0.6523258686065674, -0.6919257044792175, -0.28052306175231934, 0.07703335583209991, 0.24320350587368011, -1.608033537864685, -0.008793484419584274, -0.14976093173027039, 0.23796898126602173, 0.6275018453598022, -0.972745418548584, 0.8791486620903015, 0.13094398379325867, 0.250696063041687, 0.6636927723884583, -0.2354017049074173, -0.01800139807164669, -0.5905687808990479, -0.11290743201971054, -0.0037714068312197924, -0.2388543039560318, -1.5125653743743896, 1.2932634353637695, 0.5013471245765686, -1.3266936540603638, -0.5579143762588501, 0.3460269868373871, 0.24265028536319733, 0.10286105424165726, -0.168128103017807, -0.5890284776687622, -0.11725436896085739, 0.7379162311553955, 0.18845827877521515, -0.08949990570545197, -1.21500563621521, -0.1282239705324173, 0.18637481331825256, 1.559761643409729, -0.43020761013031006, -0.9736956357955933, -0.15724842250347137, -0.7063085436820984, -0.4167177081108093, 0.875704824924469, -0.7206051349639893, -0.2236645221710205, 0.13136570155620575, -1.0453722476959229 ]
192
0704.0194
Shmuel Gurvitz
S.A. Gurvitz and D. Mozyrsky
Quantum mechanical approach to decoherence and relaxation generated by fluctuating environment
15 pages, typo errors corrected, version appeared in PRB
Phys. Rev. B77, 075325 (2008)
10.1103/PhysRevB.77.075325
null
cond-mat.mes-hall quant-ph
null
We consider an electrostatic qubit, interacting with a fluctuating charge of single electron transistor (SET) in the framework of exactly solvable model. The SET plays a role of the fluctuating environment affecting the qubit's parameters in a controllable way. We derive the rate equations describing dynamics of the entire system for both weak and strong qubit-SET coupling. Solving these equation we obtain decoherence and relaxation rates of the qubit, as well as the spectral density of the fluctuating qubit's parameters. We found that in the weak coupling regime the decoherence and relaxation rates are directly related to the spectral density taken at Rabi or at zero frequency, depending on what a particular qubit's parameters is fluctuating. This relation holds also in the presence of weak back-action of the qubit on the fluctuating environment. In the case of strong back-action, such simple relationship no longer holds, even if the qubit-SET coupling is small. It does not hold either in the strong-coupling regime, even in the absence of the back-action. In addition, we found that our model predicts localization of the qubit in the strong-coupling regime, resembling that of the spin-boson model.
[ { "created": "Mon, 2 Apr 2007 13:51:02 GMT", "version": "v1" }, { "created": "Thu, 3 Jan 2008 11:47:08 GMT", "version": "v2" }, { "created": "Tue, 26 Feb 2008 18:31:08 GMT", "version": "v3" } ]
2009-11-13
[ [ "Gurvitz", "S. A.", "" ], [ "Mozyrsky", "D.", "" ] ]
07
[ -0.2696945369243622, -0.06995026767253876, -0.22543705999851227, 0.5332400798797607, -1.289198875427246, 1.1379119157791138, 0.2124936282634735, 0.45146849751472473, 0.636149525642395, -0.004990361165255308, 0.05088908597826958, 0.1766412854194641, 1.3615928888320923, 0.18495310842990875, -1.3432905673980713, 0.07912284135818481, -0.012087801471352577, -0.35681626200675964, -0.7264508008956909, 0.3584037721157074, 0.15175744891166687, -1.267761468887329, -0.23418192565441132, -0.9253717064857483, -0.9262354969978333, -0.677090048789978, -0.06967753916978836, 1.0519403219223022, -0.4705386161804199, -1.1075191497802734, -0.9137597680091858, -0.37259820103645325, 0.8696550130844116, 0.06296633929014206, 0.33942320942878723, -0.28216785192489624, 0.9762327671051025, -0.34397536516189575, -0.46665453910827637, -0.12633492052555084, -0.1153029128909111, 0.04207559674978256, 0.03587969020009041, 0.9050692915916443, -1.0835967063903809, 0.5124880075454712, -0.26904386281967163, -0.9792693853378296, 0.42958691716194153, -0.3742523193359375, -0.22679489850997925, 0.45642325282096863, 0.2511155903339386, -0.32471945881843567, 0.18147854506969452, 0.8801113367080688, -0.31069689989089966, 0.6553016901016235, -1.0133904218673706, -1.7412248849868774, 0.28094881772994995, -0.3835439682006836, 0.43787771463394165, 0.03437146544456482, 0.38315004110336304, 0.3364883363246918, 0.11356298625469208, -0.24968087673187256, 0.3964551091194153, 1.3609309196472168, 0.5288916826248169, 0.010794389992952347, 0.3897162973880768, -1.4817701578140259, 0.5322917699813843, 0.13297007977962494, -0.6765479445457458, 0.48462793231010437, 0.20502609014511108, -1.0953840017318726, 1.2281138896942139, 2.2840921878814697, 0.5776761770248413, -1.5145422220230103, 0.4018940329551697, 0.19229793548583984, -0.4348020553588867, 0.003965298179537058, -0.09596219658851624, 0.643835723400116, -0.04975861310958862, -0.19822761416435242, 0.9512961506843567, 1.1453975439071655, -0.25788792967796326, -0.657235860824585, 0.18594375252723694, -0.334833025932312, -0.04448910057544708, 0.3776654005050659, -0.297384649515152, -0.6149494647979736, 0.9297248721122742, -0.7126102447509766, -0.9523349404335022, 0.4442060887813568, -1.3831454515457153, -0.33743682503700256, 0.4958896040916443, 0.28431612253189087, -0.6875094175338745, -1.128487229347229, -0.37341785430908203, 1.0140416622161865, -0.08329391479492188, 0.01975497044622898, -0.2605874538421631, -0.9996066093444824, -0.20302525162696838, -0.2384117841720581, -0.2945716977119446, -0.08340989798307419, -0.10678639262914658, 0.4689153730869293, -0.7599519491195679, -0.2527843415737152, -0.00976458191871643, 0.4496515691280365, -0.6950387954711914, 0.532102108001709, -0.2909565567970276, -0.17831894755363464, -1.5943373441696167, -0.26596230268478394, -0.9031147360801697, 0.10296943783760071, 0.9945082664489746, -0.3693508803844452, 0.31662410497665405, -0.7555299401283264, 0.32762181758880615, -0.8857895135879517, -0.42989587783813477, -0.509279727935791, 0.24541549384593964, -1.0553686618804932, 0.07792410254478455, 0.5966149568557739, -0.012806370854377747, -0.49109941720962524, 0.46933168172836304, 0.6247993111610413, -0.19769404828548431, 0.9932482242584229, 0.8675885200500488, 0.13431522250175476, 1.0321091413497925, 0.17499315738677979, 0.07055029273033142, 0.6122675538063049, 0.04332326352596283, -0.4064502418041229, 1.066238284111023, -0.766526460647583, -0.3104744553565979, -0.1521165519952774, 0.5325518846511841, 0.30085229873657227, -1.4079880714416504, -0.5056278109550476, 0.5606547594070435, 0.6805165410041809, 0.3853636384010315, 0.5512295961380005, -0.5780135989189148, 0.03810916841030121, 1.2940171957015991, 0.18996934592723846, 0.9215303659439087, -0.09286549687385559, -0.5462268590927124, -1.2828892469406128, 0.17533059418201447, 0.10646495968103409, 0.27743324637413025, 0.3457741141319275, 0.14491969347000122, -0.9416783452033997, -2.054644823074341, 0.19843295216560364, -0.35595008730888367, 1.067583441734314, -1.0876585245132446, 1.6726897954940796, -0.2157234400510788, 0.9505476355552673, 0.08834806084632874, 0.17796367406845093, -0.42474910616874695, 0.3842453062534332, -0.09360001981258392, 0.8866274952888489, -0.6445050239562988, 1.5009442567825317, 0.6655565500259399, -0.781488835811615, -1.1847199201583862, 0.07696133852005005, -0.8139346837997437, -0.19681230187416077, -0.801887571811676, -0.8732250332832336, -0.9492648243904114, -0.031014489009976387, -0.390124648809433, 0.19151557981967926, -1.0848177671432495, -0.0730992928147316, -0.5463038682937622, 0.728011429309845, 0.6246522665023804, 0.15972261130809784, 0.14608347415924072, 0.9797580242156982, -0.23362919688224792, 0.34466981887817383, -0.53453129529953, 0.578607439994812, -0.20393894612789154, 0.20734688639640808, 1.236745834350586, -1.06380295753479, -0.12845458090305328, 0.46116453409194946, 0.3101581037044525, 0.21682409942150116, 0.05547000840306282, -0.23812033236026764, -0.4801231920719147, 0.00486360490322113, -0.07898068428039551, -0.38439804315567017, 0.5183876752853394, -0.06181130185723305, 0.5117629170417786, -0.4085433781147003, 0.25514787435531616, 0.5470142960548401, -0.18721289932727814, -0.07092157751321793, -0.33079108595848083, -0.6674251556396484, 0.6538739800453186, 1.4588441848754883, -0.07441692799329758, 1.0064990520477295, 0.5224542617797852, -1.3321303129196167, 0.42682358622550964, 0.451335608959198, -0.05070237070322037, -0.4524551033973694, 0.8633582592010498, -0.2276814579963684, -0.4506649374961853, 0.010797375813126564, 1.109085202217102, -0.034530043601989746, 0.12873466312885284, -0.23830293118953705, -0.7339583039283752, 0.39990007877349854, -1.2069839239120483, 0.6058619022369385, -0.04397601634263992, 0.44198647141456604, 0.21369321644306183, -0.9932342171669006, 0.3344520628452301, -0.14633838832378387, -0.30354106426239014, 0.5885128974914551, -0.0779455304145813, -1.0945414304733276, -0.2669364809989929, 0.6031147241592407, 0.4505684971809387, 0.3532368838787079, -0.29492613673210144, 0.35284268856048584, -2.033722400665283, -0.08968359231948853, 0.08236607164144516, -0.36671972274780273, 0.17134809494018555, -0.6713052988052368, -0.06558331102132797, 0.5982842445373535, 0.6477778553962708, -0.20079858601093292, -0.3608803153038025, -0.2174811065196991, 0.26947328448295593, 0.27980268001556396, 0.1501035839319229, -0.0937945693731308, 0.6244537830352783, -0.606417715549469, -0.9602587819099426, 0.45661795139312744, 1.2097326517105103, -0.1532742828130722, -1.2547649145126343, 1.3318839073181152, 0.2858012914657593, -0.4047931134700775, -0.5935547351837158, 0.8325569033622742, -0.14673565328121185, -1.0268474817276, 0.27486521005630493, -0.9693206548690796, -0.9065387845039368, 0.2645280063152313, -0.4755544364452362, -0.3392425775527954, -0.4030408561229706, -0.6753637194633484, 1.3269038200378418, 0.08638397604227066, -0.5566898584365845, 0.8190544843673706, -0.012998896650969982, -0.1842534840106964, -0.7914930582046509, -0.5612529516220093, -0.0904032289981842, -1.202207088470459, 1.2319722175598145, 0.6661521196365356, -0.3979248106479645, -0.2220926582813263, 0.5858721733093262, -0.0983896479010582, -0.4730825126171112, 0.2664770781993866, 0.2629668414592743, 0.3976679742336273, 0.6228370070457458, -0.351947546005249, -1.922102451324463, -0.07962270081043243, -1.3166805505752563, -1.0795180797576904, 0.6126067638397217, 0.16957125067710876, 0.461750864982605, -0.6637735962867737, 1.1062136888504028, -0.09688063710927963, -0.7284627556800842, -0.20435307919979095, 1.1140341758728027, -0.4270763695240021, 0.24642398953437805, -0.14052602648735046, -0.04940730705857277, -0.2745051681995392, -0.42436981201171875, -0.2520723044872284, -1.347916603088379, 1.135892629623413, -0.2522059977054596, -0.22148609161376953, -1.159751534461975, -0.6799429059028625, -0.2728412449359894, 1.130721092224121, 0.9097771644592285, -0.7461963891983032, 0.436806321144104, 0.24400047957897186, -0.0503665991127491, 0.9779759645462036, 0.10764729231595993, 0.09410103410482407, -1.0024800300598145, -0.560077428817749, -0.8909446597099304, 1.1066428422927856, -1.687106728553772, -0.5733191967010498, -0.10269970446825027, 0.08133941143751144, -0.29374924302101135, -0.9445188641548157, 1.5939829349517822, 0.8896182179450989, 0.1080617904663086, -0.30633115768432617, 0.13798093795776367, 1.2469059228897095, -0.6083565354347229, -0.2787957787513733, 1.2609663009643555, -0.13350540399551392, -0.008810519240796566, 0.1752026081085205, -0.07115601748228073, 0.1309715211391449, -1.4701920747756958, 1.4513038396835327, 1.2273887395858765, -1.009570598602295, 0.7915017604827881, -1.1152409315109253, 0.3534165620803833, 0.9648588299751282, -0.017715483903884888, 0.034630294889211655, -0.615790069103241, 0.7070102095603943, -0.3681212365627289, 1.271973967552185, 0.5606739521026611, 0.10464064031839371, 0.7113388180732727, 0.4057633578777313, -1.040711522102356, -0.04627783223986626, 0.4040479362010956, -0.9953882098197937, -0.26551976799964905, 0.9180468320846558, 0.28285807371139526, -0.9152101278305054, -1.4844920635223389, -0.769597589969635, -0.14300581812858582, -0.8614778518676758, 0.414572149515152, 1.9370481967926025, 0.5328553915023804, 0.09275323897600174, -0.019182581454515457, -1.258807897567749, -0.8108920454978943, 1.4640083312988281, 0.3325399160385132, 0.04595478996634483, 0.5413818359375, 1.5346074104309082, -0.34321996569633484, 0.26821571588516235, -0.7819045186042786, -1.5586342811584473, -0.5156245827674866, 1.1506143808364868, -0.5150402784347534, 0.8281801342964172, -1.7894281148910522, -0.5215194821357727, 0.9764125943183899, -1.3440889120101929, -0.24513323605060577, -0.319883793592453, 0.3790733814239502, 0.5345214605331421, -1.1795088052749634, 0.15082699060440063, 0.2751595973968506, 0.18046681582927704, 0.16176645457744598, 0.36329546570777893, 0.1086072102189064, -0.9873970746994019, 1.0302942991256714, -0.07177161425352097, 0.555813729763031, 1.6388638019561768, 1.165062427520752, 2.020878791809082, 0.008813138119876385, -1.3651214838027954, 0.6371724605560303, -1.1521748304367065, -1.4247033596038818, -0.13376252353191376, -0.3908718526363373, 0.0832442194223404, 0.11845860630273819, -0.7481957674026489, -0.3891749978065491, 1.2684592008590698, -0.002078177873045206, 0.9824719429016113, -0.3901624083518982, -0.3938041925430298, 0.10044737160205841, -1.4957830905914307, 0.297732949256897, 0.2791225016117096, 0.07065730541944504, 0.06158097833395004, -1.0225985050201416, 0.3998522162437439, 0.49402233958244324, -0.9586449265480042, 0.22311998903751373, 0.10890744626522064, 0.6919295787811279, 0.911064088344574, -0.991724967956543, 0.7048747539520264, 1.0953516960144043, -0.9932266473770142, -0.7092355489730835, -2.6226203441619873, -1.034143090248108, -0.606365442276001, 1.5366780757904053, -0.23150634765625, 0.20640215277671814, 0.38337987661361694, 0.03777674585580826, 0.26963144540786743, -0.4812483787536621, -0.6921336650848389, -0.4100022614002228, 0.04292377457022667, -1.116447925567627, 0.11834990978240967, 0.5938433408737183, 2.196720838546753, 0.1626787930727005, 1.045989990234375, -0.10170575976371765, 1.0684541463851929, -1.6862510442733765, -0.25323837995529175, -0.5218686461448669, -0.4754445552825928, -0.32464516162872314, -1.5085601806640625, -0.4987875521183014, -0.19335812330245972, -1.2998273372650146, -0.08865569531917572, -1.558583378791809, -0.40428051352500916, 0.05628172680735588, -1.0365650653839111, -0.11666166037321091, 0.11506720632314682, -0.6135010719299316, 0.13764411211013794, -6.520390510559082, 0.4773039221763611, -0.6750047206878662, -0.756892204284668, -0.09505419433116913, -0.06581790745258331, -0.5857742428779602, -0.27704885601997375, -0.3570282459259033, 0.1747988611459732, -0.14471356570720673, 0.7496904730796814, -1.0024473667144775, -0.8073941469192505, -0.6632832288742065, -0.8038010597229004, -0.23722855746746063, -0.358656108379364, 0.32841768860816956, 1.1158183813095093, -1.2676208019256592, 0.13305045664310455, -0.18409158289432526, 0.004514531698077917, 1.4936031103134155, 0.6908427476882935, 0.4501766562461853, 0.08956269174814224, -0.30478736758232117, -0.7401447892189026, 0.2653450667858124, 0.9234400391578674, 0.14456184208393097, 0.1770954579114914, 0.17596746981143951, -1.028154969215393, 0.15937866270542145, -0.17448584735393524, -0.202688068151474, -1.0101277828216553, 0.2560262084007263, -0.7164775133132935, -1.7313295602798462, 0.5114730000495911, -0.4376654028892517, -0.10291308909654617, 0.060245346277952194, -1.5376137495040894, 0.5372804999351501, -0.7221933007240295, 0.9491342902183533, 0.32906073331832886, -0.13322798907756805, 0.5534359812736511, -0.8760384917259216, 0.1230500340461731, -0.3683388829231262, -0.7858095169067383, 0.7169246077537537, 0.11646326631307602, 1.361190915107727, -0.5235224962234497, 0.4467141330242157, -0.25529810786247253, 1.1320582628250122, 0.5688990950584412, -0.6760188341140747, 0.5113041400909424, -0.25133660435676575, 0.15954501926898956, 0.24930670857429504, -1.7330067157745361, -0.9061450362205505, 1.2208033800125122, 0.6839402914047241, -0.9949079155921936, 0.39627039432525635, -0.928583562374115, -1.2380774021148682, 0.9672372937202454, 1.2076454162597656, -0.3384948670864105, 0.18412484228610992, 0.9276823997497559, 0.7705754041671753, -0.874469518661499, 0.20262303948402405, -0.6765304207801819, 1.1222630739212036, -0.039024777710437775, 0.2135433703660965, 0.11777487397193909, 0.4059959053993225, -0.7899008393287659, 0.24996374547481537, 1.4386337995529175, 0.9675524830818176, -0.9573254585266113, 0.9443538784980774, 0.08343026041984558, 0.10641244798898697, 0.4715511202812195, -0.9000130891799927, 0.3130946159362793, 0.410668283700943, 0.7778779864311218, 0.20602773129940033, -0.14499971270561218, -0.9098427891731262, -0.8201833963394165, -0.23762363195419312, 0.30071577429771423, 0.2611856758594513, -0.11021484434604645, -0.22151917219161987, 1.2535659074783325, -0.3940355181694031, -0.26400747895240784, -0.7270888686180115, 0.7116751670837402, -0.3538813889026642, -0.6571023464202881, -0.698540210723877, 1.6492702960968018, 1.006460189819336, -0.8908872604370117, -0.048574697226285934, -0.3777218163013458, -0.5948102474212646, 0.7626440525054932, 1.0148674249649048, -1.7876709699630737, 1.2074071168899536, 0.07993976771831512, 0.14533796906471252, 0.24327969551086426, -0.3739515542984009, 0.5819584131240845, 0.7247692346572876, 1.196999192237854, 0.24709448218345642, 0.08530864119529724, 0.147539883852005, 1.6050386428833008, 0.6398000717163086, -0.486860066652298, 1.0325837135314941, -0.2836478352546692, -2.1872751712799072, 0.3473590314388275, -0.23013117909431458, 0.40676239132881165, 0.5643311142921448, 0.9072406888008118, -0.17020165920257568, 0.3289527893066406, -0.8917733430862427, 0.28756019473075867, 0.04649332910776138, -0.9626706838607788, -0.5439156293869019, 0.6390009522438049, 0.5238280296325684, 0.002142733195796609, -0.6412857174873352, 0.3967147767543793, 0.15856610238552094, -0.00716398237273097, -1.680032730102539, -0.898282527923584, 0.42211994528770447, 0.7214799523353577, -0.739609956741333, -2.089594841003418, 1.106070637702942, -1.582612156867981, -0.3102741241455078, -1.157449722290039, -0.039012033492326736, -1.2628058195114136, -1.4500024318695068, -0.12481416761875153, -0.06497909128665924, -0.12148790061473846, -0.7879414558410645, 0.8962222337722778, -0.568830132484436, 0.20487640798091888, -1.6258134841918945, -0.3491731286048889, -0.30055469274520874, 0.026986954733729362, 0.5640735030174255, -0.6434428095817566, -0.15938404202461243, 0.2579156756401062, -0.146697998046875, -0.3187500536441803, 1.061249852180481, 1.2015998363494873, -0.5802276134490967, 0.8824808597564697, -1.2150425910949707, -0.9732462763786316, 1.1194379329681396, -0.42130234837532043, -0.9438229203224182, -0.1694195568561554, -1.6399518251419067, 0.7104325294494629, 0.38813817501068115, -0.8299515247344971 ]
193
0704.0195
Dmitri Nikshych
Vladimir Drinfeld, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik
Group-theoretical properties of nilpotent modular categories
23 pages, LaTeX, typos corrected
null
null
null
math.QA math.RT
null
We characterize a natural class of modular categories of prime power Frobenius-Perron dimension as representation categories of twisted doubles of finite p-groups. We also show that a nilpotent braided fusion category C admits an analogue of the Sylow decomposition. If the simple objects of C have integral Frobenius-Perron dimensions then C is group-theoretical. As a consequence, we obtain that semisimple quasi-Hopf algebras of prime power dimension are group-theoretical. Our arguments are based on a reconstruction of twisted group doubles from Lagrangian subcategories of modular categories (this is reminiscent to the characterization of doubles of quasi-Lie bialgebras in terms of Manin pairs).
[ { "created": "Mon, 2 Apr 2007 13:55:16 GMT", "version": "v1" }, { "created": "Mon, 2 Apr 2007 20:34:03 GMT", "version": "v2" } ]
2007-05-23
[ [ "Drinfeld", "Vladimir", "" ], [ "Gelaki", "Shlomo", "" ], [ "Nikshych", "Dmitri", "" ], [ "Ostrik", "Victor", "" ] ]
07
[ -0.08812742680311203, -0.14442625641822815, 0.3670143783092499, 0.712059736251831, 0.5288271903991699, -0.4801129996776581, -0.30905890464782715, 0.16146689653396606, -1.0408600568771362, -1.0917792320251465, 0.2612833082675934, -0.35575947165489197, 0.5884275436401367, 0.23721963167190552, -1.0939371585845947, -0.43886446952819824, -0.8988503217697144, -0.3017653524875641, -1.2602413892745972, -2.075380325317383, 0.06154013052582741, -1.2482243776321411, -1.085124135017395, -0.4785565435886383, -0.5259815454483032, 0.8933278918266296, 0.27109408378601074, -0.6918860077857971, 0.10025232285261154, 0.21127048134803772, 1.3237957954406738, -0.3955323398113251, 0.12751978635787964, 0.4743475914001465, 0.01206663716584444, -0.5070613026618958, 0.3093454837799072, -0.6639673113822937, -0.43361565470695496, 0.15568096935749054, 0.508224368095398, -0.4715195596218109, 0.1306474357843399, -0.9960700869560242, -0.33707886934280396, -0.8885484933853149, 0.6468586325645447, -0.7292386293411255, -0.47664740681648254, 0.6438313722610474, 0.16758206486701965, 0.4649554491043091, -0.6453231573104858, 0.17351269721984863, -0.0013079653726890683, -1.0939180850982666, -0.048280928283929825, -0.8669304251670837, -0.6494317650794983, -0.18791864812374115, -0.11095090210437775, 0.39705735445022583, 0.4908904731273651, 0.928206205368042, -0.376015841960907, -0.1788473278284073, -0.35947155952453613, 0.5634708404541016, 0.851185142993927, 0.7646185755729675, -0.09599713236093521, 0.3868115544319153, 0.3242306411266327, -0.6133679747581482, 0.5904165506362915, -0.8571000099182129, 1.2869908809661865, 2.2765860557556152, 0.27466800808906555, -0.6052690148353577, 0.11855936050415039, -0.09014954417943954, 0.029714029282331467, -1.74680757522583, -1.1377192735671997, -0.1219724491238594, 0.4121728539466858, 1.6642061471939087, -1.1600487232208252, 0.5759775042533875, 1.510662317276001, -0.7727755904197693, 0.564495861530304, 0.12294131517410278, 0.7414210438728333, -0.9348114132881165, -0.2855687439441681, -0.13526254892349243, -1.1486138105392456, -0.10869278758764267, 0.846326470375061, 0.6017748117446899, 0.3386934697628021, -0.0898725762963295, 0.22888752818107605, 0.6721490621566772, 0.5567824244499207, -1.0080071687698364, 0.04754588007926941, 0.04785236343741417, 0.6065577268600464, -2.05199933052063, -0.6700389385223389, 0.6640106439590454, -0.9625781178474426, 1.1651551723480225, -0.24078327417373657, 0.515769362449646, -0.7246538400650024, 0.9040648937225342, -0.041839975863695145, 0.5020685195922852, 1.1027188301086426, -0.4627865254878998, 0.24574513733386993, 0.06901314854621887, 0.16177049279212952, -0.16087223589420319, 0.2105899155139923, -0.5231099724769592, -0.7560157775878906, 0.2264784574508667, 0.7996144890785217, -0.23522783815860748, -0.06686688214540482, 0.8915064930915833, 0.10384806990623474, -0.529024600982666, 1.289419174194336, 0.3193379044532776, 0.0009873007657006383, 0.4012819528579712, -0.5148412585258484, 0.7740655541419983, 1.4116413593292236, -0.3866688907146454, -0.42804428935050964, 0.7256482839584351, 0.6721421480178833, -0.11981818825006485, 0.5769944190979004, -0.4365138113498688, 0.2930357754230499, -0.053971171379089355, 0.30880817770957947, 0.09507972747087479, 0.6177935004234314, -0.2868492901325226, -0.22087396681308746, -0.33487239480018616, -0.5592472553253174, -0.8748767971992493, 0.09494798630475998, -0.12104346603155136, -0.9057058095932007, -0.24787184596061707, -0.670701265335083, -0.7786612510681152, -0.18338631093502045, 0.7096063494682312, 1.6768889427185059, 0.181717649102211, 0.4098295569419861, -1.3565863370895386, 1.4808673858642578, -1.4573769569396973, -0.46832436323165894, -0.22499559819698334, -0.3707302212715149, 1.3438996076583862, 0.7960877418518066, -0.677074134349823, 0.15118050575256348, 0.25951290130615234, 0.3382912874221802, -1.1739691495895386, -0.19503706693649292, -0.8882331848144531, 1.2283003330230713, -0.839528501033783, -1.6894714832305908, 0.5399189591407776, -1.2189146280288696, 0.6172473430633545, 1.1713857650756836, 0.15581770241260529, 0.5417128205299377, 1.01310133934021, -0.2995654344558716, -0.4877837300300598, -0.64857417345047, 0.02696218527853489, -0.7085333466529846, 0.4876536726951599, -0.13618461787700653, 1.3667696714401245, 1.0363378524780273, -0.13782155513763428, 0.7929201126098633, 0.1463092416524887, 0.74491947889328, 0.2214687466621399, 0.39316651225090027, 1.4813169240951538, -0.08586478978395462, -0.3616951107978821, -1.541501760482788, -1.2811763286590576, -0.3112936317920685, 0.9059545993804932, 0.49677515029907227, -0.05462448298931122, 0.2680114507675171, -0.5430620312690735, 0.5246025919914246, -0.9302921891212463, -1.3683090209960938, 0.2827616035938263, -0.7535185217857361, -0.8843457102775574, -0.04306226596236229, -0.32976388931274414, -0.4334737956523895, -0.28859731554985046, -0.638153612613678, -0.14000628888607025, -0.29050588607788086, -0.4794379472732544, -0.8476958274841309, -0.28763309121131897, -0.68985915184021, -0.2705588638782501, -0.017064211890101433, -0.7323671579360962, -0.4942242503166199, 0.7504513263702393, -0.12352404743432999, 0.36683332920074463, -0.5654935240745544, 0.9266172051429749, -1.2879630327224731, -0.3699161112308502, -1.225915551185608, 0.2225351631641388, 0.37265369296073914, -0.09639403223991394, -0.5513927340507507, -0.06811544299125671, -2.4696671962738037, -0.8203181624412537, -0.4394042491912842, 0.12723739445209503, -0.08293196558952332, 0.9530240893363953, -0.6748291850090027, -0.6244661211967468, 0.11007535457611084, -0.13084082305431366, 1.6774195432662964, 0.4761617183685303, 0.5718644857406616, 1.2244431972503662, 1.5801575183868408, -0.4630313515663147, -0.21554425358772278, -0.05250433087348938, 0.04519603028893471, 0.3798161447048187, 0.062015898525714874, -0.36168205738067627, 0.5845447182655334, 1.3181239366531372, -0.16113735735416412, 0.5852375626564026, -1.1107981204986572, 0.923668384552002, -0.7533904910087585, -0.8236267566680908, -0.6458804607391357, 1.2133958339691162, -1.1306202411651611, -0.4209204912185669, 0.1517246663570404, 0.10531185567378998, -0.8704931735992432, 0.8026911020278931, 0.8105142116546631, -0.3737865090370178, 1.0957667827606201, -1.417421817779541, -0.3935704231262207, 0.28250211477279663, 0.422016441822052, -0.2554961144924164, 0.851473331451416, -0.6168578863143921, 0.0785229504108429, 0.9338163137435913, 0.20950081944465637, 0.06980830430984497, 0.7712641954421997, 0.9264907836914062, 0.7429001927375793, -1.9557173252105713, 0.3751407861709595, -0.45920443534851074, -1.1671841144561768, -0.9068066477775574, 0.8451954126358032, -1.2932873964309692, -1.271102786064148, 0.8734862804412842, 0.9850319027900696, -0.2857353091239929, 0.038187094032764435, -0.47077691555023193, 0.07933668047189713, 0.5111476182937622, 0.18171833455562592, -0.24333547055721283, -0.09215543419122696, -0.28667864203453064, 0.3295753598213196, 0.8651891946792603, -1.0032182931900024, 0.2328445464372635, 0.15054823458194733, 0.10549259185791016, 0.423240602016449, -0.48826053738594055, -0.39839473366737366, 0.081802599132061, -0.37050166726112366, -0.6412538886070251, 0.16182146966457367, -0.3140498101711273, -0.1430360972881317, 0.683866024017334, -0.9922084808349609, -0.6319963932037354, 0.06313307583332062, -2.224191904067993, 1.1855497360229492, -0.09699703752994537, -0.04740355908870697, 0.900454044342041, 0.36670801043510437, -0.3475385308265686, 0.21354857087135315, 0.03200632333755493, -0.6352853178977966, 0.09073635935783386, 0.5797260403633118, -0.7533576488494873, 1.4658275842666626, 0.7273030281066895, -0.08779032528400421, -0.23206624388694763, -1.038527011871338, -0.7724619507789612, -0.7628050446510315, -0.35906895995140076, -0.5729449391365051, -0.07488957047462463, -1.1586414575576782, -0.8639429211616516, -0.6028896570205688, 0.16218338906764984, 0.19783860445022583, 0.13751615583896637, 0.3998602628707886, -0.42760878801345825, 0.8739331960678101, -0.5834418535232544, -0.918769896030426, -0.2909761965274811, 1.2203028202056885, -0.6017770767211914, 0.15008647739887238, -0.0933879166841507, 1.231786847114563, -0.9595971703529358, -0.2051549106836319, 0.15467670559883118, -1.4628894329071045, 0.4311616122722626, -0.5014110207557678, -1.2216376066207886, 0.019270407035946846, 1.3270312547683716, 0.11402425915002823, -0.29785415530204773, -0.9086797833442688, 0.6507704257965088, -0.8276402950286865, 0.0033216560259461403, 0.4020634889602661, 0.6816902160644531, 0.09822197258472443, -0.1996612846851349, 1.0023499727249146, 0.8106066584587097, -0.7262863516807556, 0.7549657821655273, -0.9346795082092285, 0.7115650177001953, 0.024101197719573975, 0.6615789532661438, 0.0794692113995552, -0.9165263772010803, -0.8506612777709961, -1.0577805042266846, -0.0915302261710167, 0.6250942945480347, 0.6896158456802368, -0.34969016909599304, -0.3869628608226776, -0.26127713918685913, -0.09418382495641708, -0.8155168890953064, 0.2032073587179184, -0.03215060383081436, -0.25986209511756897, 0.01604156754910946, -0.5311408042907715, 0.5328247547149658, 0.37411272525787354, 0.8141270279884338, 0.0012401544954627752, -0.8922969698905945, 0.2073792666196823, 0.7621689438819885, -1.8675389289855957, -0.47953230142593384, -0.31007856130599976, 0.42614948749542236, 1.2738763093948364, -0.09300651401281357, -0.5786814093589783, -0.11742579936981201, -1.0867677927017212, 0.40944188833236694, -0.2326253205537796, -0.034365538507699966, 0.17693981528282166, -0.7816736102104187, 0.9919894933700562, 0.19604894518852234, 0.2556092143058777, 0.9684851169586182, -0.4028349220752716, -0.42698708176612854, 0.466309517621994, 0.7324085235595703, -0.14356456696987152, -0.49134165048599243, -0.06504637748003006, -0.5838531851768494, -0.44439414143562317, 0.5008533596992493, 0.7549809217453003, -0.4844363033771515, 0.011971242725849152, -0.676622748374939, -0.02834104746580124, -1.0942338705062866, -0.7902494668960571, 0.7048637866973877, 1.6311863660812378, 1.0047054290771484, 1.085465908050537, 0.15066838264465332, -1.726358413696289, 0.7379716634750366, 0.31258127093315125, 0.3800866901874542, 0.5308590531349182, 0.06287078559398651, -0.5393470525741577, 0.6825551986694336, -0.614264190196991, 1.5654691457748413, -0.004148597829043865, -0.741917073726654, -1.0506186485290527, 0.04587911441922188, -0.7522381544113159, -1.445167899131775, 0.8855597376823425, 0.2214542031288147, 0.05654926598072052, 0.27896884083747864, -1.199686050415039, -0.9844605922698975, -0.6636947393417358, 0.7949671149253845, -0.7893684506416321, 0.732788622379303, 0.020277634263038635, 0.9454060196876526, -0.9860415458679199, -0.7882044911384583, 1.9960910081863403, -0.42519497871398926, -0.13896715641021729, -0.10487067699432373, 1.4547110795974731, -1.9683023691177368, -0.6085899472236633, 0.0327201671898365, -0.40542319416999817, -0.6780160665512085, -0.5867375731468201, -0.5980644822120667, 0.928917646408081, 0.5786609053611755, 1.2490006685256958, -0.49270564317703247, -1.59771728515625, 0.8280176520347595, 0.3251868188381195, -0.2852832078933716, -1.009887456893921, -0.48368731141090393, 0.45383214950561523, -0.09211765229701996, 0.38029682636260986, 1.109076976776123, -1.2810111045837402, 0.2425452470779419, -0.18397478759288788, -1.2634528875350952, -0.9630826711654663, 0.28777188062667847, 0.45262986421585083, -0.07613616436719894, 0.8195351362228394, -0.16284862160682678, -1.3315907716751099, -0.8161485195159912, -0.4057696759700775, -0.12391258776187897, 0.028301389887928963, 0.3015293776988983, -0.6812745928764343, 0.3561498522758484, -6.456141471862793, 0.07099460065364838, -0.24827013909816742, -0.34482207894325256, 0.2330312579870224, 0.36218470335006714, -0.3951911926269531, -1.2146049737930298, 0.8386970162391663, 0.354583203792572, -0.5450007915496826, -0.44573622941970825, -0.9415456056594849, 0.398098349571228, 0.8519347906112671, -0.39084556698799133, -0.2147531807422638, 0.32379963994026184, -0.23899568617343903, -0.045822542160749435, -1.6335809230804443, -0.13706697523593903, -0.5983858704566956, -0.2523566484451294, 2.437775135040283, -1.0964840650558472, 0.38720259070396423, -0.2526491582393646, 0.9901746511459351, 0.746125340461731, -0.32120779156684875, -1.1809755563735962, -0.6023451685905457, 0.1298614889383316, -0.6059293746948242, -1.3164925575256348, -0.35907986760139465, -0.38464778661727905, -1.0153367519378662, -0.1728620082139969, 0.2561761140823364, -0.7107373476028442, 0.25810205936431885, -0.556726336479187, -0.522434651851654, -0.2195836752653122, 0.5489459037780762, 0.7291982769966125, -0.22490404546260834, -0.4394245147705078, -0.6001834869384766, -0.1448017954826355, 1.5930317640304565, 0.8734884858131409, 0.9156103134155273, -0.013930101878941059, 0.17727495729923248, 0.08529055863618851, -0.12987583875656128, 0.4825977385044098, -0.0892501100897789, -1.5984363555908203, 0.08830557763576508, 0.5767654776573181, 0.23629185557365417, -1.6428178548812866, -0.35853949189186096, -0.0051451255567371845, 0.8495767116546631, 1.5652590990066528, -0.1082623302936554, 0.8626066446304321, 0.7138490676879883, -1.3241379261016846, -0.4005993902683258, -0.4725678563117981, -0.793627142906189, -0.37997063994407654, -0.26896393299102783, -1.1748926639556885, -0.024781392887234688, -0.26576822996139526, -0.35312867164611816, -0.3389040231704712, -0.25547465682029724, -0.33440279960632324, 0.43617647886276245, 0.11740167438983917, 0.3663439154624939, -0.3820570409297943, -0.35650020837783813, -0.5823449492454529, -0.4809698760509491, -0.4721373915672302, -0.34103772044181824, -1.8620790243148804, 1.0597525835037231, 0.42347028851509094, -0.10881523787975311, 0.2821487486362457, 0.08072416484355927, 1.7035365104675293, 1.9071823358535767, 0.3465489447116852, -0.08317362517118454, 1.1232959032058716, 0.6053076386451721, 0.23252229392528534, 0.8053067326545715, 0.5248501300811768, 0.04019225388765335, 0.5290184617042542, -0.4292020797729492, -1.0109150409698486, 0.17365199327468872, 1.4763875007629395, -1.0395796298980713, -0.1337912380695343, -0.5194259881973267, 0.3234597444534302, 0.40536412596702576, -0.40763673186302185, 0.13772480189800262, 0.21762147545814514, 2.117121934890747, 1.3797184228897095, -0.5567424297332764, 0.09443153440952301, 0.6387777924537659, -0.1530359387397766, 0.15759588778018951, 1.701372504234314, -0.7903764247894287, -0.326077401638031, -0.7343243360519409, -2.480743646621704, -0.22539082169532776, 0.019704481586813927, -0.37618905305862427, 0.39733320474624634, 0.9746392369270325, 0.46221426129341125, 0.6033618450164795, 0.28138911724090576, -0.8667604327201843, -0.06462428718805313, -0.5042946338653564, -0.8458574414253235, 0.4321662485599518, 0.7114236354827881, -0.4081788957118988, 1.0763500928878784, 0.28400054574012756, -0.4125533699989319, 0.2793414890766144, 0.20031648874282837, 0.18793457746505737, 0.3017715513706207, -1.8023302555084229, -0.7128165364265442, -0.36536213755607605, -0.6577268242835999, 1.270203948020935, 1.1613688468933105, -0.09949009865522385, 0.7341817617416382, 0.07206317037343979, -1.4298679828643799, 1.0654714107513428, 1.3472095727920532, 0.7173535823822021, -0.5798071026802063, 0.5574731230735779, 0.9241719245910645, 0.3000229001045227, 0.01296068262308836, -0.9898581504821777, -0.008085695095360279, -0.18476547300815582, -0.96351557970047, 0.8466209173202515, -1.81730055809021, 0.05884021520614624, 0.2714654505252838, -0.018537558615207672, 2.0800395011901855, -0.31750497221946716, -1.0924311876296997, 0.4987354576587677, -0.4104105830192566, -0.7981051802635193, -0.23724600672721863, 0.04975277557969093, -0.5477830767631531, -0.4045111835002899, 0.39387086033821106, 0.5766623020172119, 0.5331948399543762, -0.9823487997055054, 0.37787601351737976, 0.889561653137207, -0.6970483660697937, 1.3786351680755615, -0.10966328531503677, -0.3262752890586853, 1.2997685670852661, -1.3035637140274048, -0.007252708543092012, 0.5047124028205872, -0.9134510159492493, 0.34995535016059875, -0.22415193915367126 ]
194
0704.0196
Michal Praszalowicz
Karolina Piesciuk, Michal Praszalowicz
Remarks on N_c dependence of decays of exotic baryons
8 pages, 6 figures to be published in proceedings of YKIS06 in Progress of Theoretical Physics. In v2 minor typos corrected
Prog.Theor.Phys.Suppl.168:70-77,2007
10.1143/PTPS.168.70
TPJU-03/2007
hep-ph
null
We calculate the N_c dependence of the decay widths of exotic eikosiheptaplet within the framework of Chral Quark Soliton Model. We also discuss generalizations of regular baryon representations for arbitrary N_c.
[ { "created": "Mon, 2 Apr 2007 13:55:17 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2007 13:06:08 GMT", "version": "v2" } ]
2008-11-26
[ [ "Piesciuk", "Karolina", "" ], [ "Praszalowicz", "Michal", "" ] ]
07
[ -0.032314375042915344, -0.23422816395759583, 0.30916544795036316, 1.3931137323379517, 0.5483129024505615, -0.07421677559614182, 0.06282831728458405, 0.4520738124847412, 0.2882757782936096, -0.7214689254760742, 0.5154183506965637, 0.4146859347820282, 0.2286681979894638, 0.09632788598537445, -1.738468885421753, -0.3249899744987488, -0.33349746465682983, -1.5319017171859741, -0.8892263174057007, -0.7630437612533569, 0.7284884452819824, -0.41548699140548706, 0.5149868130683899, -1.2417899370193481, -0.2951337993144989, 0.7914454340934753, -0.4608195126056671, 0.47150909900665283, -1.3904082775115967, -0.18536441028118134, 1.0392614603042603, 0.8315514326095581, -0.44799739122390747, -0.06055262312293053, -0.544863760471344, 0.4306003749370575, 1.4672996997833252, -0.568498432636261, -0.5242538452148438, 0.7139815092086792, 0.03245488554239273, 0.853297233581543, 0.22874346375465393, 0.40044286847114563, -0.4636705219745636, -0.6558446884155273, -0.674684464931488, -1.680254340171814, -0.7119908928871155, 0.8748289942741394, -0.30693063139915466, 2.088087797164917, -0.4270288944244385, 1.594950556755066, -0.4016681909561157, 1.0362476110458374, -1.0316615104675293, 0.05317730829119682, -0.5279293656349182, -0.7677481174468994, 0.10380574315786362, 1.2337596416473389, 0.4699050784111023, -0.7562569975852966, -0.4776836037635803, -0.09511780738830566, -0.24489451944828033, -0.6275202631950378, -0.2904444634914398, 1.7820582389831543, 0.7493082284927368, -0.46305474638938904, -0.8433155417442322, -0.13554824888706207, -0.8746309876441956, -0.6026732325553894, 0.03629189357161522, 0.003962683957070112, -0.11434009671211243, -0.03734792768955231, -0.5260137319564819, -0.3515334129333496, -0.650911271572113, -0.8975047469139099, -0.4443536698818207, -1.3659051656723022, -0.9033498764038086, 0.010015578009188175, -0.7463060617446899, 0.00029790267581120133, 0.3732711970806122, -0.9812779426574707, 0.5375802516937256, -0.19324615597724915, -0.1495339721441269, -1.3479955196380615, -1.0933479070663452, 0.4516463577747345, 0.31938889622688293, -0.8329773545265198, 0.26318976283073425, 0.3007949888706207, 0.2783661484718323, -0.3375560939311981, -0.5372983813285828, -0.22920310497283936, 0.10407054424285889, -0.29423823952674866, 0.014293579384684563, 0.6059892177581787, -0.2689538598060608, -0.38022324442863464, 0.2934047281742096, 0.2626250088214874, 0.08554240316152573, 0.17230954766273499, -1.1008282899856567, 1.1883997917175293, 0.43815338611602783, -0.07062385231256485, -0.37753984332084656, -0.9285229444503784, 0.8439290523529053, 0.16024839878082275, -0.7628355622291565, -0.570614755153656, 0.9022613167762756, -0.535837709903717, 0.030389465391635895, 0.6660491228103638, -0.4458063542842865, 0.04643646255135536, 0.18299329280853271, -0.787995457649231, -0.11477842181921005, 0.3418545126914978, -0.5179852843284607, -0.30427396297454834, 0.374909371137619, 0.38801881670951843, -0.408907949924469, -0.6695412397384644, -0.09852346032857895, 0.11219251155853271, 0.4500322937965393, 0.5168705582618713, -1.1148045063018799, -0.9405043721199036, 0.38022932410240173, 1.0626311302185059, -0.4689391851425171, -0.5766499638557434, -0.10249056667089462, -0.3653625249862671, 0.06029408052563667, -0.3942371606826782, 0.4451899528503418, 0.8747538328170776, -1.4369547367095947, 0.34843459725379944, 0.36026817560195923, -0.08916018158197403, 1.6251397132873535, 0.0006356064695864916, 0.2520160377025604, -0.5952567458152771, 1.2140535116195679, 0.14566655457019806, -2.202784776687622, -0.22372914850711823, 0.05247347056865692, -1.0852813720703125, -0.20062732696533203, -0.8653412461280823, -0.5456777215003967, 0.3505268096923828, -0.690101683139801, 1.00203275680542, -1.605862021446228, -0.005296031013131142, 0.03648540377616882, -1.6285330057144165, -0.43386173248291016, 0.7251182794570923, -0.13588739931583405, 1.0757012367248535, 1.186371088027954, -2.0396149158477783, -0.3046233654022217, -0.7224780917167664, 0.3001997768878937, -0.3814582824707031, -1.600987434387207, 0.3918703496456146, 0.631837785243988, 0.5449538230895996, 0.6588826775550842, 1.2186001539230347, -0.5585650205612183, -0.368542343378067, 0.21600700914859772, -0.10122621804475784, -0.12903738021850586, 0.5100002884864807, 0.8345946073532104, 0.28503647446632385, 0.39341408014297485, 0.4822400212287903, -0.49973544478416443, 0.0943690612912178, 0.7111127972602844, -0.5766720175743103, 0.4806376099586487, -0.29624611139297485, 0.8229176998138428, 1.03315269947052, 0.43770861625671387, -0.6309264302253723, -0.5557509064674377, -0.44553887844085693, -0.46354106068611145, -0.015344764105975628, 0.4854659140110016, -0.4677982032299042, 0.28431451320648193, -0.013949123211205006, 0.9721359610557556, -1.223218560218811, -0.18091268837451935, 0.6755768060684204, -0.9544238448143005, -0.06059814989566803, -0.21151120960712433, 0.36868247389793396, 0.8849003314971924, 0.45147615671157837, 0.2622833549976349, -0.41353872418403625, 0.6293324828147888, -0.3384479284286499, 1.312995195388794, 0.9945690631866455, -1.3550599813461304, -0.5279359817504883, -0.09672114998102188, -0.18461641669273376, -0.06142769753932953, 0.06090895086526871, -0.12243344634771347, 0.28948548436164856, -1.2944444417953491, -0.5958935022354126, 1.1775035858154297, -1.1194984912872314, 0.9858014583587646, -0.6538083553314209, -1.110168218612671, -0.5756222605705261, -0.8420076966285706, 0.2634071409702301, 0.5242370367050171, 0.4870441257953644, -0.7782984972000122, -0.454421728849411, 1.2616522312164307, 0.053357869386672974, 0.08545882999897003, 0.06356064975261688, -1.4270105361938477, 0.1566450446844101, -1.1063977479934692, 0.5038283467292786, 1.3601499795913696, -0.44914838671684265, 0.9912713170051575, -0.49246370792388916, 0.5728455781936646, 0.18492838740348816, -0.14729143679141998, -1.6404019594192505, 0.6260052919387817, 1.4425857067108154, -0.34975141286849976, 0.18149426579475403, 0.16684642434120178, -1.007776141166687, -0.3600616157054901, 0.4418664574623108, 0.24040116369724274, 0.3828141689300537, 0.47764718532562256, 0.5594768524169922, 0.5538184642791748, -1.3662588596343994, -0.11768442392349243, 0.2203945815563202, 0.3908555507659912, -0.9366234540939331, -0.09140286594629288, -1.021562933921814, -1.1644389629364014, -1.0876158475875854, 0.3769732713699341, -0.08738712966442108, 0.5749993324279785, -0.24810467660427094, 0.12040287256240845, 0.17200636863708496, -1.4601024389266968, -0.7812715172767639, -0.40059593319892883, -0.603041410446167, 0.6182805895805359, 0.11292015761137009, -0.6815003156661987, 0.5544669032096863, 0.10607117414474487, -0.5488201379776001, 0.11356331408023834, 0.05024253949522972, 0.3215964734554291, 1.2501968145370483, 1.5018227100372314, -0.1298350691795349, 0.18661311268806458, -1.2480175495147705, -0.6589085459709167, -1.1747697591781616, 0.2658332288265228, 0.30331581830978394, 1.5657808780670166, 1.6662707328796387, 0.28004947304725647, -0.345291405916214, -1.092767357826233, 0.15939940512180328, 0.22907166182994843, -0.33094683289527893, -0.3988642394542694, 0.06743248552083969, 0.16033880412578583, -0.17089901864528656, -0.7087721228599548, -1.1050913333892822, -1.6671342849731445, 0.5038559436798096, 0.1583046168088913, 0.6369214057922363, -1.6078294515609741, 0.03012293577194214, -0.9270169734954834, -0.5808151960372925, 1.4869115352630615, -1.2282341718673706, 0.9540684819221497, -0.14296291768550873, 0.559421718120575, 0.9152095317840576, 0.9981318116188049, 0.36268022656440735, -0.3523083031177521, 0.7063288688659668, -0.6348994970321655, -0.9256626963615417, 0.7614738345146179, 0.6932289600372314, -0.8073006868362427, -0.763250470161438, -0.11612901091575623, -0.5847830176353455, -1.2329330444335938, 0.28572407364845276, 0.32404565811157227, -0.1916966438293457, 0.2113294154405594, 0.23613417148590088, 1.2207199335098267, 0.2765614688396454, -0.6477471590042114, -0.5331332683563232, -0.8983913064002991, 1.4320658445358276, 0.7584161162376404, -0.37305882573127747, 0.7116073369979858, -0.12442516535520554, -0.3830844759941101, 0.38003936409950256, -0.8518165349960327, 0.2370234578847885, -0.04527284577488899, -0.31281808018684387, 0.30865445733070374, 0.2933957874774933, -0.25748178362846375, -0.7340806126594543, 0.23128576576709747, 0.8837026953697205, -1.140355110168457, 0.41514208912849426, -0.6771268248558044, 0.35390186309814453, -0.7375453114509583, 0.9188361763954163, -0.1739732176065445, -0.9440786242485046, -0.13851355016231537, 0.665764331817627, 0.36977294087409973, 0.21721599996089935, 1.2787678241729736, 1.692539095878601, -0.4561779499053955, -0.2614493668079376, 0.059300851076841354, -0.40035462379455566, -0.8451884388923645, -0.15361759066581726, -0.07783734053373337, 0.5302651524543762, -0.31693315505981445, -0.7729193568229675, 0.18473336100578308, -0.30809706449508667, -0.20070746541023254, -0.6652141809463501, -1.1564087867736816, -1.1106252670288086, -1.2078680992126465, -0.907470166683197, 0.5135158896446228, 0.42486801743507385, -0.13693936169147491, 1.091020107269287, 0.19598114490509033, -0.4439505636692047, 0.6231252551078796, 0.6062513589859009, -0.2925104796886444, -0.3709690272808075, 0.13546153903007507, 0.3544134795665741, -0.22564956545829773, 0.15808989107608795, 1.1972179412841797, -0.519230842590332, -0.7034805417060852, 0.7717448472976685, -0.8888673782348633, -0.4867536723613739, 0.6193679571151733, 0.9340598583221436, 0.3921354115009308, 1.2052907943725586, -0.2179524451494217, 0.1424083113670349, 0.7557246685028076, -0.23020610213279724, 0.7416069507598877, 1.6771790981292725, -0.8819249272346497, -0.2571837306022644, 1.120850682258606, -1.5717397928237915, -0.22827623784542084, -0.20183886587619781, 0.5284081101417542, 0.2208053469657898, -0.9627354741096497, 1.0314122438430786, -0.1301182359457016, -0.6495901346206665, -0.5552123188972473, -1.8585741519927979, 0.021208954975008965, -0.6925406455993652, 0.3978886306285858, 0.9380802512168884, -0.4833112061023712, 0.16510485112667084, 0.7230217456817627, 0.9921459555625916, -0.1484004110097885, 0.5473829507827759, 0.11935693025588989, 0.46937957406044006, -1.3311306238174438, 1.0809993743896484, -1.0214459896087646, 0.46642717719078064, -0.38061025738716125, 1.039845585823059, 0.727059543132782, 1.0476311445236206, -0.2073502391576767, 0.2992728352546692, 0.27871841192245483, -0.8291575908660889, 0.03482707217335701, -0.9611721634864807, 0.5777433514595032, -0.31067222356796265, -0.2331027090549469, -0.7711777091026306, -0.22287851572036743, 0.15517884492874146, 0.42358484864234924, 0.3230496942996979, 0.17465826869010925, 1.080688238143921, -0.04385776445269585, -0.5235458016395569, 1.036698818206787, -0.051260970532894135, 1.1466056108474731, 0.9430197477340698, 0.2238253802061081, -2.881366014480591, 0.8107284903526306, -0.921266496181488, 0.6803640127182007, -0.44960227608680725, 0.7558035254478455, -0.3050384223461151, 0.5771061182022095, 0.13858912885189056, 0.724086344242096, -0.6494601964950562, -1.034132719039917, 0.580254077911377, -0.4819558560848236, 0.6059821844100952, 0.242727130651474, 1.1913788318634033, -0.45028460025787354, 0.00971944723278284, -0.24742144346237183, 0.580306887626648, -0.4852137863636017, -0.5353749394416809, -0.18448108434677124, 0.8094344735145569, -1.2543776035308838, -1.4747306108474731, -0.20295143127441406, -0.8801724314689636, -0.8556132912635803, -0.3406025469303131, 0.222727432847023, 0.7922742366790771, 0.11742735654115677, 0.23718306422233582, -1.8584693670272827, 0.5488395094871521, 0.45304736495018005, 0.28954529762268066, -7.549903392791748, 0.800841748714447, -1.06781005859375, 0.583607017993927, 0.8362888693809509, 0.011337588541209698, -0.0009607123211026192, 0.08684121817350388, 0.8755729794502258, -0.9293853044509888, 0.5091601610183716, 1.2076464891433716, -1.124785304069519, -0.807042121887207, -0.3190058767795563, 0.04152961075305939, -0.04157479852437973, -0.6015281677246094, -0.14579179883003235, -0.36273372173309326, -0.4804500937461853, -0.1227760836482048, -0.04463537037372589, -0.18515904247760773, 0.8074262142181396, -0.8377760052680969, 0.04340318590402603, -0.3166738748550415, -0.29865625500679016, 0.37494614720344543, 0.05175881087779999, 2.2176899909973145, 0.5296324491500854, 0.061610400676727295, -0.7751116752624512, -0.7119773626327515, -0.45593830943107605, 0.7936397790908813, -0.030369052663445473, -0.8664181232452393, -0.46450477838516235, -0.42081761360168457, 0.09078840166330338, 0.22449375689029694, 0.3835851848125458, 0.09950190037488937, 0.2167503535747528, 0.03710044175386429, -0.23274636268615723, 0.36549845337867737, -0.018058819696307182, -2.247852087020874, 0.033743977546691895, 0.062017858028411865, -1.140263557434082, -1.0286186933517456, -0.46867597103118896, -0.5992733836174011, 0.47147172689437866, 0.7666723132133484, -0.48361364006996155, 0.2582603096961975, -0.08632662892341614, 0.12488587200641632, -1.4335823059082031, -0.9878393411636353, 0.33647245168685913, -0.14198032021522522, 0.01681908406317234, 1.534473180770874, 0.6500059366226196, -0.8225119709968567, -0.6077536940574646, -0.35881760716438293, -0.2364581972360611, -0.7248082160949707, -0.5184333324432373, 0.3536069691181183, 0.6229783296585083, 0.9091376662254333, -0.47071701288223267, 1.0703500509262085, 0.537875235080719, 0.30694082379341125, -0.1608458012342453, -0.8913777470588684, -0.26502346992492676, 0.03454451262950897, 0.23218934237957, 1.0963112115859985, 0.008018510416150093, 0.5463018417358398, 0.4191944897174835, 1.2500554323196411, 0.224243625998497, -0.15424159169197083, 0.34322792291641235, -0.45596978068351746, -1.1737515926361084, -0.5724838376045227, -1.9035285711288452, -0.5597661733627319, 0.08795073628425598, -0.17499111592769623, 1.64430570602417, -0.060820575803518295, 0.0076751322485506535, -0.5595045685768127, 0.18811281025409698, -1.1449652910232544, 1.0546479225158691, -0.10167551785707474, -1.5143052339553833, -1.3230453729629517, -1.0972721576690674, 1.0377367734909058, -0.7372807264328003, 0.10998297482728958, -0.7645836472511292, -1.6251671314239502, 0.5527697205543518, 1.4964559078216553, -0.8859491348266602, -0.3120010793209076, -0.21580414474010468, -0.2525678873062134, -1.0783153772354126, -0.6882181763648987, -0.9560564756393433, 0.5913722515106201, -0.7175140976905823, -0.6264722943305969, 0.3339809477329254, -0.16513074934482574, -1.2131388187408447, -0.07461226731538773, -0.16573624312877655, -0.03915034979581833, -0.38135266304016113, -0.021972322836518288, -0.23971620202064514, 1.0867908000946045, -0.06634224951267242, -0.34370020031929016, 0.34947529435157776, -0.26001161336898804, -0.5238229036331177, 0.055175039917230606, -0.5233443379402161, -0.4168992340564728, -0.164912149310112, 1.2526185512542725, 1.3158724308013916, -0.07794103771448135, 0.40535181760787964, -0.018001513555645943, 0.18981024622917175, -0.8782268166542053, -0.6977680921554565, -0.4637354910373688, 0.5956472754478455, 0.47240737080574036, 0.9296354055404663, 0.008520380593836308, -0.5917321443557739, -0.5983684062957764, -0.3286674916744232, 0.8440943956375122, 0.41078490018844604, 1.0886094570159912, 0.22317562997341156, 0.5128730535507202, -0.4386424124240875, 0.5194739103317261, -0.5536848902702332, 1.1737749576568604, -1.602084755897522, 0.9834380149841309, -0.03532116487622261, -0.5301363468170166, -0.9768567085266113, 0.10558795183897018, 0.874518632888794, 0.04665331542491913, -0.5994516015052795, -0.34433266520500183, -0.6776161789894104, 0.5203246474266052, 0.054731033742427826, 0.48655781149864197, 0.3478931784629822, 0.24175909161567688, -0.5217872262001038, -0.8021290302276611, -0.9773691892623901, -0.5367798805236816, 0.8596760630607605, 0.43068942427635193, -0.5326111912727356, 1.8145887851715088, 0.07560764253139496, 1.3400697708129883, 1.5108497142791748, -0.45749199390411377, 0.5792310237884521, 1.5351433753967285, 0.15349026024341583, 0.8521518707275391, -0.0028072979766875505, 0.4058017432689667, 0.6357991695404053, 0.24311214685440063 ]
195
0704.0197
Steffen Schober
Steffen Schober and Martin Bossert
Analysis of random Boolean networks using the average sensitivity
11 pages, 1 figure
null
null
null
nlin.CG
null
In this work we consider random Boolean networks that provide a general model for genetic regulatory networks. We extend the analysis of James Lynch who was able to proof Kauffman's conjecture that in the ordered phase of random networks, the number of ineffective and freezing gates is large, where as in the disordered phase their number is small. Lynch proved the conjecture only for networks with connectivity two and non-uniform probabilities for the Boolean functions. We show how to apply the proof to networks with arbitrary connectivity $K$ and to random networks with biased Boolean functions. It turns out that in these cases Lynch's parameter $\lambda$ is equivalent to the expectation of average sensitivity of the Boolean functions used to construct the network. Hence we can apply a known theorem for the expectation of the average sensitivity. In order to prove the results for networks with biased functions, we deduct the expectation of the average sensitivity when only functions with specific connectivity and specific bias are chosen at random.
[ { "created": "Mon, 2 Apr 2007 14:55:28 GMT", "version": "v1" } ]
2007-05-23
[ [ "Schober", "Steffen", "" ], [ "Bossert", "Martin", "" ] ]
07
[ 0.1268060803413391, -0.37533286213874817, 0.15592071413993835, -0.27267777919769287, -0.435701459646225, -0.6213240027427673, 1.2222977876663208, -0.5031529068946838, -0.1343466192483902, -0.5889994502067566, 0.3405890464782715, -0.5023019909858704, 0.6642725467681885, 1.480767011642456, -1.1312907934188843, -1.0210607051849365, 1.1120505332946777, -0.8427216410636902, -1.1352301836013794, -1.5160919427871704, -0.5655945539474487, -1.563356637954712, 0.09558985382318497, 0.5242996215820312, 0.10137258470058441, 0.06132461875677109, -1.1144285202026367, -0.03609535098075867, -0.4209783971309662, -0.13105013966560364, 0.22498805820941925, -0.21712744235992432, 0.14558716118335724, -0.49523642659187317, 1.3340482711791992, 1.007170557975769, 0.2607809603214264, -0.25628915429115295, 0.014983996748924255, -0.381069540977478, 0.2890872359275818, 0.5736138224601746, -0.04185277968645096, 0.5866339206695557, -0.5354686379432678, 0.9473912119865417, 0.5739083886146545, 0.25400233268737793, 0.6291482448577881, 0.22660639882087708, 0.2669404149055481, 0.41183099150657654, -0.6644216775894165, -0.4523114860057831, 0.260152131319046, 0.19069017469882965, 0.4989832639694214, -0.1756018102169037, 2.442436695098877, 0.12614576518535614, -0.4425365626811981, 0.06340980529785156, -0.11316154152154922, 0.08272435516119003, 0.35304492712020874, -0.4840293824672699, 0.9790677428245544, 0.13616760075092316, 0.7890358567237854, 0.4103949964046478, -0.1484183669090271, 0.33057889342308044, 0.6230444312095642, -0.3747043013572693, -0.8178541660308838, 0.015987765043973923, 0.24161449074745178, -0.1953180730342865, 0.9517943859100342, 0.003704165108501911, -0.2814416289329529, 1.3563464879989624, -0.034180138260126114, 0.7024790644645691, 1.1370296478271484, -0.30219778418540955, -0.5206019878387451, 0.06328373402357101, -0.575378954410553, 0.31227123737335205, 0.4447020888328552, -1.466587781906128, -0.45023313164711, -0.17265895009040833, 0.1347639560699463, 0.13584116101264954, 0.027628328651189804, -0.5630747079849243, 0.4225868284702301, 0.02897133119404316, 0.30936408042907715, -0.8644828200340271, 0.23933200538158417, -0.2058076411485672, 0.2921832501888275, -0.3743063807487488, -0.5485936999320984, -0.4278133511543274, 0.4910009503364563, -0.4529536962509155, -1.185049057006836, 0.2323395162820816, 1.1876486539840698, 1.3210291862487793, 0.046048667281866074, 0.6210536360740662, 0.0530952587723732, -1.036421775817871, 0.9128523468971252, -1.3246746063232422, 0.6573730111122131, 0.3505885899066925, 0.16063547134399414, -0.0810941755771637, 0.11709608882665634, 0.2101464420557022, -0.7522189617156982, -0.44953805208206177, -0.6354547142982483, -1.2896028757095337, 0.015964975580573082, -0.27102670073509216, 0.02978496626019478, -0.5670598149299622, -1.5549774169921875, 1.8406460285186768, -0.2630755603313446, -0.8395522832870483, -0.7999371886253357, -0.8084163665771484, 1.4369401931762695, -0.43241649866104126, 0.4995243549346924, -0.18786628544330597, -0.05656154081225395, -0.6305668354034424, -1.4627965688705444, 0.557268500328064, 0.05541687458753586, -1.0865418910980225, -0.8776120543479919, 0.5450143218040466, 0.7315719723701477, 1.0115257501602173, 0.31970682740211487, 0.8731500506401062, -0.046975791454315186, 0.312508225440979, 0.16621465981006622, 0.7775453329086304, 0.1883286088705063, -0.8780979514122009, 0.9175488948822021, -1.0429129600524902, 0.16985976696014404, -0.8311399817466736, -0.9319661855697632, -0.06289876252412796, -0.23300106823444366, 0.40918979048728943, 0.2523246109485626, -0.4421381652355194, 0.730583131313324, 1.856224536895752, -0.29451802372932434, 0.3529994785785675, -0.0411965548992157, 0.15979473292827606, -0.32512983679771423, -0.6419851779937744, -0.9274617433547974, 0.04250878468155861, -0.4134793281555176, 0.7054466605186462, -0.42092159390449524, -0.9717826843261719, -0.2743254005908966, -0.5636773705482483, 0.4251667559146881, -0.04556412994861603, 0.5013049244880676, 1.3171133995056152, -0.9224255084991455, -0.9757670760154724, -0.967079758644104, 0.4788345396518707, 0.10840775817632675, -1.0557080507278442, -0.3368746340274811, 1.2011678218841553, 0.5347926020622253, -0.33656078577041626, -0.17558103799819946, 1.0993183851242065, -1.6865391731262207, -1.2284246683120728, 0.20882868766784668, -0.685278594493866, -0.954576313495636, -0.6138852834701538, 0.32317957282066345, 0.9416297674179077, -0.11247621476650238, -0.14048416912555695, -0.5981420278549194, -1.0757031440734863, 0.09428337961435318, 0.5986703634262085, 0.06360598653554916, -0.05903812125325203, 0.31155574321746826, 0.5653882026672363, 0.4674503207206726, -0.08013114333152771, 0.18407806754112244, 0.6968731880187988, 0.7993279099464417, 0.11428535729646683, -0.9609038233757019, -1.9128644466400146, 0.4590683877468109, -0.3100789487361908, 0.1849219799041748, -0.3452566862106323, -0.20896704494953156, -1.1045856475830078, -0.5007634162902832, -0.05276961997151375, 0.755057156085968, -0.019753670319914818, 0.36833304166793823, 0.3287029266357422, -0.17447249591350555, 0.45980870723724365, 0.3353945016860962, -0.15570588409900665, 0.036280978471040726, 1.501064658164978, 0.34643787145614624, -0.49911463260650635, -0.6250317692756653, -1.8855278491973877, -0.39657390117645264, 0.6217034459114075, -0.49727386236190796, -1.1211451292037964, 0.6217755675315857, -1.0038204193115234, 0.7344585657119751, 0.14275342226028442, -0.2535727024078369, -1.0227832794189453, 1.375420093536377, 0.48929160833358765, -0.708520770072937, -0.08234964311122894, -0.41006070375442505, -1.3058876991271973, 1.4800077676773071, 0.41933897137641907, -0.11590982228517532, -0.1263301968574524, -0.8717706799507141, 0.8663358092308044, -1.2665412425994873, -0.3619765639305115, -0.6980157494544983, -0.8185712099075317, 0.48795726895332336, -0.48138538002967834, -0.2706463634967804, -1.065998911857605, -0.14251095056533813, -1.0698704719543457, 0.5156913995742798, -0.39817413687705994, -0.05704732984304428, 1.2371556758880615, -0.6276809573173523, -1.3058122396469116, -0.7041496634483337, 0.9789011478424072, 0.46974456310272217, 1.5381666421890259, 0.8239409327507019, -1.6364049911499023, -0.43432721495628357, -0.2912939488887787, 0.17805378139019012, 0.9543207287788391, -0.7088310122489929, 0.9742524027824402, -0.3444189429283142, 1.4544566869735718, 0.745397686958313, -0.8052937388420105, -1.018179178237915, -0.9067307710647583, 0.8693920373916626, 0.9101094007492065, 0.920131266117096, -0.2712884247303009, -0.4224132001399994, -1.1565492153167725, -0.15076646208763123, 1.3198505640029907, 1.0168029069900513, 0.2520469129085541, 0.06549323350191116, -0.3668974041938782, -0.4622360169887543, -0.22613222897052765, 0.2972107231616974, -0.3673207461833954, -0.6634845733642578, -0.15537665784358978, 0.6839043498039246, -0.2549203634262085, 0.9902840256690979, -0.34723708033561707, -0.5777909755706787, -0.07552305608987808, -0.3588482141494751, 0.2530531883239746, -0.25068235397338867, 0.1469014585018158, -1.18148672580719, -0.9035468697547913, -0.10640539228916168, -0.852693498134613, 0.1835494488477707, -1.5585304498672485, 1.164010763168335, 1.1151982545852661, -0.5572085976600647, 0.16150623559951782, -0.08409129083156586, 0.17552192509174347, -1.1674658060073853, 0.603969156742096, 0.4122626483440399, -1.1792668104171753, -0.7132127285003662, 0.8419862389564514, 0.19317810237407684, -0.6226235032081604, 0.7919493317604065, -0.07287992537021637, -0.6498477458953857, -0.40048542618751526, 0.04876580461859703, 0.1982254981994629, 0.25966235995292664, -0.5940996408462524, 0.16392040252685547, -0.5675697326660156, 0.5634524822235107, 1.5121220350265503, -0.057026781141757965, -0.5565741658210754, 1.331676959991455, 0.22564591467380524, 0.36487963795661926, 0.42369604110717773, -0.1448332965373993, 1.7933043241500854, 0.33610332012176514, -0.3759676218032837, 0.908637523651123, -1.1408324241638184, 0.29665496945381165, 0.6985257267951965, -0.20399390161037445, 0.4101496934890747, 0.002044528257101774, 1.7524089813232422, 0.9950498938560486, 0.48621466755867004, -1.46463942527771, -0.06421170383691788, 0.013475434854626656, 0.2149856686592102, -0.21317599713802338, 0.416213721036911, -1.087424397468567, -0.9371938109397888, 0.9657871723175049, 0.08571206778287888, -1.1532899141311646, 0.8838936686515808, -0.4156351387500763, 0.7729885578155518, -0.35486578941345215, -1.5239288806915283, -0.1197337657213211, -0.11750829219818115, 0.19063448905944824, -1.0563377141952515, 0.5731534361839294, 0.27410244941711426, -0.29280003905296326, 0.07631291449069977, -0.22215691208839417, -0.49817973375320435, -0.23314881324768066, -0.7450793385505676, -1.3173236846923828, -0.07580137997865677, 0.6239003539085388, -0.35415539145469666, 0.03917800635099411, -0.20234531164169312, 0.017034035176038742, 0.5969284176826477, -1.1212654113769531, 1.0150469541549683, -0.9472930431365967, 0.8396347761154175, -0.4448733925819397, -0.32121726870536804, -0.469954252243042, -0.5686964988708496, -0.32298606634140015, -0.6807286143302917, 0.029703008010983467, -0.2775583565235138, -0.608985960483551, -0.3047513961791992, 0.43301570415496826, 0.7406182289123535, 0.1846279352903366, 1.5236746072769165, 0.8530532121658325, 0.9999434947967529, -0.7289989590644836, -0.5187638401985168, -0.6032439470291138, 1.6872092485427856, -0.19071686267852783, -0.6961998343467712, -1.0418541431427002, 0.359535813331604, -0.525018572807312, 0.2215665578842163, 0.4130108058452606, -1.1568976640701294, 0.0705631896853447, -0.1427369862794876, -0.7680965662002563, -1.7615944147109985, -0.7658397555351257, -0.6105554699897766, 0.2725915014743805, -1.4070124626159668, -0.6824928522109985, 0.112737737596035, -0.23423391580581665, 1.137642741203308, -0.5687786340713501, 0.5171837210655212, -0.03927262872457504, -0.2846490144729614, -0.17661252617835999, -1.0766433477401733, 0.20118436217308044, -0.014538431540131569, 1.3721619844436646, 0.5700437426567078, -0.6053748726844788, 1.217193365097046, 0.48260852694511414, -0.30717921257019043, -0.38716307282447815, -0.3324858248233795, -0.4340672492980957, -0.2970316410064697, -0.17101134359836578, -1.202359914779663, 0.0439094677567482, 0.5445659160614014, -0.3895730674266815, -0.7745646834373474, -0.11847599595785141, 1.314782738685608, -1.014391541481018, 0.4859200119972229, -0.17147648334503174, 1.1624037027359009, 0.19760052859783173, -0.2043776512145996, 0.5383481979370117, -0.8852640390396118, -0.8212279081344604, 0.3872990012168884, -0.6060776710510254, -0.6639013290405273, 0.23221951723098755, -0.7242112159729004, 1.0507049560546875, 0.8549184799194336, 0.6221614480018616, -0.21568246185779572, -0.45080462098121643, 0.17790763080120087, 0.6191990971565247, -0.38576701283454895, -0.18726859986782074, -2.8944082260131836, 0.5977153182029724, -0.2400701642036438, 0.20407013595104218, -0.6296154260635376, -0.02352469228208065, -0.6552197337150574, 1.048387885093689, 0.23418742418289185, -0.16526496410369873, -0.603386402130127, 0.4103039503097534, 0.526811420917511, -0.6078883409500122, 1.0634859800338745, -0.9642017483711243, 1.3839290142059326, -0.3471823036670685, 1.0578395128250122, -0.43813765048980713, 0.2973407208919525, -0.851798415184021, 0.8099181652069092, 0.6772509217262268, -0.3988671600818634, -0.1682267040014267, -0.7506343722343445, 0.9038123488426208, -0.12850840389728546, 1.1426717042922974, -1.0511136054992676, -0.773186206817627, -0.19978858530521393, -1.0182133913040161, -0.275509238243103, 0.1106843501329422, 0.16685093939304352, -0.2238859087228775, 0.5694094896316528, -7.719963550567627, 0.4684739410877228, -0.27161335945129395, -0.6301497220993042, -0.15247467160224915, 0.3157453238964081, -0.046611521393060684, -0.11863036453723907, -1.4869716167449951, -0.7033551335334778, -0.332551509141922, 0.11265799403190613, -1.6282907724380493, 0.27035757899284363, 1.0260721445083618, -1.1394672393798828, 0.7344814538955688, 0.10061270743608475, 0.5330058932304382, -0.08737622201442719, 0.40097615122795105, 0.22539791464805603, 0.5239165425300598, 0.35489022731781006, -0.566393256187439, 1.4116281270980835, 0.11821585148572922, -0.0564839132130146, 0.9423412084579468, -0.7402030825614929, 0.11946209520101547, -0.7397157549858093, -0.8639443516731262, -0.03539416193962097, 0.9131289124488831, -0.4714565873146057, 0.3148059546947479, 0.32937178015708923, -0.43904101848602295, 0.5075842142105103, 0.8204907178878784, -1.1159045696258545, 0.9746591448783875, 0.944358766078949, 0.15541911125183105, 0.6834021210670471, 0.04224678874015808, -0.9527676701545715, 0.024036845192313194, -1.1158580780029297, 0.05338247865438461, 0.6994682550430298, 0.1772077977657318, 0.6405398845672607, -0.49431318044662476, -0.21762101352214813, -0.2747527062892914, -0.3999793529510498, -0.06352774798870087, -0.27801433205604553, -0.2726602852344513, 0.3827035427093506, 0.4516127109527588, 0.8755589127540588, -0.06933611631393433, 0.828342616558075, 0.2189941257238388, -0.8709899187088013, 0.47947126626968384, -1.3004698753356934, 0.2643035650253296, -0.6316275596618652, 0.5773651599884033, 0.5386695265769958, -0.48216018080711365, -0.4644492268562317, -1.2826316356658936, 0.1372663527727127, 0.02902033179998398, 0.2987618148326874, -0.4422612190246582, 0.8344453573226929, -0.22746707499027252, 1.0400482416152954, 0.4062909781932831, -0.572815477848053, 0.23443467915058136, -0.2856960594654083, -0.7879377603530884, -1.314597487449646, 0.441592812538147, 0.48508691787719727, -0.9342002868652344, 0.15044955909252167, 0.2008407562971115, 0.25024911761283875, 0.06418634951114655, -0.013403553515672684, -0.5106123089790344, -0.8271917700767517, -0.3600408732891083, -0.35803696513175964, 0.31782808899879456, -0.2970574200153351, 1.935697078704834, 0.9880812168121338, 0.2785017490386963, -0.4940924644470215, 0.23331373929977417, -0.8918397426605225, -0.04935377463698387, 1.5174583196640015, 0.9748685956001282, -0.31798550486564636, -1.024217963218689, -0.5507922172546387, 0.42644521594047546, -0.0722169280052185, -2.958714246749878, -0.6174219846725464, 0.25241467356681824, -0.5484846234321594, -1.7672715187072754, 0.8283476233482361, 0.5307113528251648, 0.3384662866592407, 0.8913182020187378, 0.005170177202671766, 1.0731302499771118, -0.2200811505317688, 0.6432054042816162, -0.5273586511611938, 1.4960310459136963, -0.8131276965141296, -0.153221994638443, 0.05730123817920685, -1.192274570465088, 1.1279247999191284, -0.18320031464099884, 0.24860204756259918, 0.11509714275598526, -0.637802004814148, -0.8526367545127869, 0.997920036315918, -0.40335962176322937, -0.37289950251579285, -0.5375856161117554, 0.9310113787651062, -0.08851812779903412, 0.16275301575660706, 0.8336355090141296, -0.6632993221282959, -0.5174548625946045, 0.24771927297115326, -0.19001375138759613, 0.6658156514167786, -0.7837017178535461, -0.6157862544059753, 0.08103062212467194, -0.2521803379058838, 0.07849663496017456, -0.7727977633476257, 0.8678584098815918, 0.28907302021980286, -0.06628310680389404, 0.006878227926790714, -0.07773111760616302, 0.3387092649936676, 0.767938494682312, 0.9939278960227966, 0.36871424317359924, -0.5306912064552307, 1.212563157081604, 0.02154817059636116, 0.30873847007751465, -0.19574764370918274, 0.20695221424102783, 1.3933228254318237, 0.2678828537464142, -0.9655842781066895, -0.5675891637802124, -0.8589458465576172, 0.1392326056957245, 1.0480033159255981, -1.4186370372772217, 0.45913833379745483, 0.6867257952690125, 1.1364529132843018, -0.36915507912635803, -1.279826283454895, -0.26428771018981934, 0.7633124589920044, -0.466818243265152, 0.19066932797431946, -0.30690911412239075, -0.41526705026626587, -0.08329642564058304, 0.051732223480939865, -0.05161724612116814, -0.011688166297972202, -0.2904305160045624, 1.323017954826355, 0.6556670069694519, 0.2672337591648102, -0.5596533417701721, -1.8823819160461426, -1.4056459665298462, -0.6384577751159668, -0.380533367395401, -1.3428117036819458, -0.2748074531555176, 0.10714084655046463 ]
196
0704.0198
Misael Leon Hilario
L. M. Leon Hilario, A. Bruchhausen, A. M. Lobos, A. A. Aligia
Theory of polariton mediated Raman scattering in microcavities
11 pages, 2 figures
J. Phys.: Condens. Matter 19 (2007) 176210
10.1088/0953-8984/19/176210
null
cond-mat.str-el cond-mat.other
null
We calculate the intensity of the polariton mediated inelastic light scattering in semiconductor microcavities. We treat the exciton-photon coupling nonperturbatively and incorporate lifetime effects in both excitons and photons, and a coupling of the photons to the electron-hole continuum. Taking the matrix elements as fitting parameters, the results are in excellent agreement with measured Raman intensities due to optical phonons resonant with the upper polariton branches in II-VI microcavities with embedded CdTe quantum wells.
[ { "created": "Mon, 2 Apr 2007 13:59:58 GMT", "version": "v1" } ]
2008-05-04
[ [ "Hilario", "L. M. Leon", "" ], [ "Bruchhausen", "A.", "" ], [ "Lobos", "A. M.", "" ], [ "Aligia", "A. A.", "" ] ]
07
[ -0.4356321096420288, 0.5132997632026672, 0.176193505525589, -0.8308358192443848, -0.24429050087928772, 0.41868504881858826, 0.1512187123298645, -0.2093731164932251, -0.034319303929805756, -0.26086166501045227, -0.013596233911812305, -1.5218183994293213, -0.07174570113420486, 1.276092290878296, -1.2800546884536743, 0.4516482353210449, 0.7503476142883301, -0.670785665512085, 0.06546653807163239, 0.24886855483055115, -0.2115483433008194, -0.5643872618675232, -0.7537708878517151, -0.9050200581550598, 0.19711540639400482, 0.7106962203979492, -0.7379390597343445, 0.9863923192024231, -1.0940698385238647, -0.17353816330432892, 0.24668677151203156, 0.6858558654785156, -1.0007803440093994, 0.3815096616744995, 0.6991708874702454, -0.0848170667886734, 1.328707218170166, -1.0342377424240112, -0.8166490197181702, -0.6079952716827393, 0.010893586091697216, -0.03601507842540741, 0.011046180501580238, -0.08506739884614944, -0.8065372109413147, 0.544391930103302, -0.18995262682437897, -0.8350543975830078, 0.3429202735424042, 0.12114782631397247, -0.6337655186653137, 0.9237194061279297, 0.056457050144672394, 0.9047670364379883, 0.9100696444511414, -0.6321365833282471, 1.2980390787124634, 0.2606145441532135, -0.5935360789299011, -1.9693570137023926, 0.11059008538722992, 1.0380176305770874, 0.006849459372460842, -0.4856530725955963, 0.3647283911705017, -0.047354768961668015, 0.5298786163330078, 0.5625842213630676, -0.2762944996356964, -0.7202887535095215, -1.2334672212600708, -0.9575678706169128, 0.0004112145979888737, -1.1663720607757568, -0.3089103400707245, 0.6132799386978149, -1.0993106365203857, -0.1756656914949417, 1.5793426036834717, -0.23139825463294983, -0.007349547930061817, -0.48180681467056274, -0.4288922846317291, -1.430978536605835, 0.7952115535736084, 0.3276955187320709, 0.43224072456359863, 0.2681676745414734, -0.8332149386405945, 0.4769672751426697, 0.705361008644104, -1.3053909540176392, -0.5866520404815674, -0.5304648876190186, -0.07259746640920639, -0.46690991520881653, 0.0016916028689593077, -0.00007652324711671099, -0.18817976117134094, 0.9685531854629517, -0.34443899989128113, -1.0872257947921753, 0.1411842554807663, 0.7666566371917725, 0.9094902276992798, 0.9569453001022339, 0.7785284519195557, 0.13865749537944794, -0.8124834299087524, -0.3671673536300659, 1.4695833921432495, -0.3701417148113251, -0.489053875207901, 0.48908179998397827, 0.8304070830345154, 1.6080217361450195, -0.7829148173332214, 0.9722414016723633, -1.8449034690856934, 0.390055775642395, 1.1289775371551514, 0.04369237273931503, 0.7192477583885193, 0.5264291167259216, 0.30375173687934875, 0.003908120095729828, -0.3823564946651459, -0.6427252292633057, 0.6575082540512085, 0.26035967469215393, -0.36846649646759033, -0.05196430906653404, -0.6716616153717041, -0.953889012336731, -0.21951790153980255, 0.7610362768173218, -0.4744493365287781, -0.19158120453357697, -0.1389433741569519, -1.0500949621200562, 0.04189351201057434, 0.46176469326019287, -1.4793840646743774, 0.1604069173336029, -1.003206491470337, -2.3218696117401123, 0.6075606346130371, -0.8824052810668945, -0.10896149277687073, 0.14607997238636017, 0.8081114292144775, -1.184996485710144, -1.2239505052566528, 0.5582405924797058, -0.6871549487113953, 0.14841584861278534, 0.5326133966445923, 0.19324076175689697, 0.2911849319934845, -0.3908812403678894, 0.683058500289917, -0.47313275933265686, 0.6660679578781128, -0.7507156729698181, -0.21756118535995483, -0.8675625920295715, 0.2110932171344757, -0.34909650683403015, -0.5063933730125427, 0.8208882212638855, -0.05871490016579628, 0.3025436997413635, 0.24805866181850433, 0.17748548090457916, -1.0616953372955322, -0.5952746272087097, 0.6805517673492432, 0.17229726910591125, -0.3047432005405426, 0.576478123664856, 1.184450626373291, -0.09463267028331757, -1.143524169921875, 1.3605124950408936, 0.08586321026086807, -0.928047776222229, 1.0676430463790894, -0.37390777468681335, 0.11306191980838776, 0.60988849401474, 0.5747354030609131, 1.3644639253616333, -0.81975919008255, 0.3810838460922241, -0.46341294050216675, -0.9803223013877869, -0.05046570301055908, 0.07293743640184402, -0.3775378167629242, 0.9151250123977661, 1.3429361581802368, -1.2205685377120972, 0.5582509636878967, 0.2272644340991974, -0.7003623247146606, 1.3426036834716797, -0.5253225564956665, -0.11320439726114273, -0.5469605922698975, 0.38983604311943054, 0.6264761686325073, -0.3023398816585541, -0.002458927920088172, 0.19398270547389984, 0.4049467146396637, 0.7513719797134399, -0.044533807784318924, -1.9421815872192383, -1.7133907079696655, 0.6086018085479736, 0.4953933358192444, 1.0256662368774414, 0.3739498555660248, -0.9230391979217529, 0.10584057122468948, -0.04980500787496567, -0.6150511503219604, -0.5601829290390015, -0.3776307702064514, -1.4941483736038208, -0.08184187859296799, -0.786766529083252, -0.24634817242622375, 0.3611289858818054, 0.24034874141216278, 0.1960737556219101, -0.48674771189689636, 0.20093293488025665, -0.10755085945129395, -0.2684684097766876, -0.23155060410499573, -1.3689111471176147, -0.36820751428604126, -0.835188090801239, 0.11374198645353317, 0.41696393489837646, 1.017924189567566, -0.030009053647518158, -0.6496604681015015, -0.3951909840106964, 0.3608935475349426, 1.273573398590088, 0.27016177773475647, -0.3813544511795044, 0.7284466624259949, 1.1204594373703003, 1.6401652097702026, -0.3814602196216583, 1.0193288326263428, 0.09795179218053818, 0.517464280128479, 0.4524100124835968, 0.6040977239608765, 0.6831897497177124, -0.13787227869033813, -0.8861691355705261, 0.29299572110176086, -0.33425915241241455, 0.5747973918914795, -0.9935590624809265, 0.47495347261428833, -0.027080832049250603, -0.38615119457244873, -0.9645666480064392, 0.22830823063850403, -0.6840305328369141, -0.30813103914260864, 0.5016452074050903, -0.9105534553527832, -0.7030684351921082, -0.03988759592175484, 0.10636155307292938, 0.07693011313676834, 1.3363286256790161, 1.1119599342346191, -0.5428290367126465, -0.13885030150413513, 0.4223674535751343, -0.8525665998458862, 0.6848296523094177, 0.5307654738426208, 1.795413851737976, -1.101820468902588, -0.4936497211456299, 0.23795239627361298, 0.32662642002105713, -2.075705051422119, -0.321635365486145, 0.4870554506778717, -0.018986284732818604, 1.1141325235366821, -0.08087524026632309, -0.8909992575645447, 0.01887187734246254, 0.46262407302856445, -0.085391104221344, -0.2754327058792114, 0.01584295742213726, 0.5178712606430054, 0.11261583119630814, -0.4129868447780609, -0.11201457679271698, -0.9516834616661072, 0.8285317420959473, 0.03708304464817047, -0.39162036776542664, -0.1788911074399948, -0.38007229566574097, -0.49848273396492004, -0.7354446053504944, -0.5788436532020569, -0.6283360123634338, -1.2438243627548218, -0.5430238246917725, 0.556670069694519, -0.47835272550582886, -0.2625386416912079, 0.4243297874927521, 1.3943150043487549, 0.13314193487167358, -0.49927741289138794, 0.1585114300251007, 0.7096624374389648, 0.6554681062698364, -0.007180135231465101, -0.1718325912952423, 0.27387699484825134, 1.1305495500564575, 2.5348377227783203, 0.6856609582901001, -0.8577190637588501, 1.1311522722244263, -1.6009186506271362, -0.2174595147371292, -0.8887870907783508, -0.35108909010887146, -0.6338587999343872, 0.4812404215335846, 0.3872678875923157, 0.1245725229382515, -1.5360028743743896, -0.029808079823851585, -0.2592785656452179, 0.12229931354522705, 0.22688646614551544, -0.6849426031112671, 0.8338661193847656, 0.5438364148139954, 0.09261610358953476, -0.2819739580154419, 0.6936056017875671, -0.1585192084312439, 0.10052691400051117, -0.5599445700645447, 0.02588781528174877, -0.1371694952249527, -1.2197632789611816, 0.03208622336387634, -0.6894264221191406, 0.8941082954406738, -0.5079078078269958, -0.06925441324710846, 0.5996496081352234, -0.2791762351989746, 0.1848190873861313, -0.15193192660808563, 0.424483060836792, 0.6934379935264587, -0.3087851405143738, -0.24679817259311676, -1.139717698097229, -0.7515569925308228, 0.29615336656570435, -0.24859227240085602, -0.7209981083869934, 0.7257806062698364, -1.3315339088439941, 0.3509483337402344, 0.12357284128665924, 0.3743400275707245, -0.14133186638355255, -0.6748053431510925, 0.1322108507156372, -0.27671828866004944, -0.25244200229644775, 0.5474732518196106, 1.7186287641525269, 0.30164968967437744, -1.75570547580719, -1.1525474786758423, -0.30057021975517273, 0.36328884959220886, 0.657831609249115, -0.42429202795028687, -0.37306639552116394, -0.7824872136116028, -0.40231600403785706, 0.418014258146286, -0.05585019290447235, -0.9273393154144287, 0.3941999673843384, -0.6255073547363281, 0.11362502723932266, -1.2220470905303955, 1.2562683820724487, -0.8544584512710571, -1.4086503982543945, 0.6014862060546875, -0.12333793938159943, -0.21984581649303436, 0.3674296438694, -0.12173711508512497, 0.4822999835014343, 0.9290022253990173, -0.13895276188850403, -1.033450961112976, -0.527868390083313, -0.5294723510742188, 0.37895461916923523, -0.7187649011611938, 0.20241102576255798, 0.5888763666152954, 0.5785040259361267, 0.9324370622634888, 0.21289832890033722, 0.6286582350730896, 0.6303892731666565, 0.21626882255077362, -0.2950807511806488, 0.0631645917892456, -0.8021836280822754, 0.2026510089635849, -0.28379690647125244, -0.94203782081604, 0.4173157215118408, 0.058083128184080124, -0.7454409599304199, 0.459661602973938, -0.05206172540783882, 0.004488897975534201, 0.5864713788032532, 0.5858020782470703, 0.19757407903671265, -1.4237298965454102, 0.8999815583229065, 0.15820467472076416, 0.7861272096633911, -0.7801666855812073, -1.196589469909668, 0.40875840187072754, -0.5561423897743225, 0.248083233833313, 0.7667973637580872, -0.7877265810966492, -0.3487054109573364, 0.16808804869651794, -0.008416552096605301, 0.05269860103726387, -1.2387381792068481, -0.19362279772758484, -0.0900949016213417, -0.06935073435306549, -0.30043482780456543, -0.18409869074821472, -0.5888453125953674, 0.6055678129196167, -0.3222902715206146, -0.14070987701416016, 0.1269853115081787, 0.4356587529182434, 0.9654821157455444, 1.2759612798690796, -0.838991641998291, -0.36603981256484985, -0.48111963272094727, -0.5292017459869385, -0.21118825674057007, -0.27597326040267944, -0.8731350302696228, 0.9313066601753235, -0.001465018023736775, -0.31499147415161133, 0.24155192077159882, -0.8265429735183716, 0.8064250349998474, -0.0449909009039402, -0.264499694108963, 0.11619753390550613, -1.3469082117080688, -1.0960041284561157, 0.156535342335701, -0.15063132345676422, 0.11128955334424973, -0.7428802847862244, -1.2294788360595703, 0.43972858786582947, 0.32863184809684753, 1.8924962282180786, -0.3041634261608124, 1.1578421592712402, 0.12387654930353165, -0.02643386274576187, 0.9862546324729919, 0.8157118558883667, -0.23612627387046814, 0.4443666934967041, -0.01860504038631916, -2.3978779315948486, 0.14498311281204224, 0.9886389374732971, 0.2881622314453125, -0.23476293683052063, 0.43448272347450256, -1.8005377054214478, -0.594602108001709, 0.09232030063867569, -1.6878116130828857, 0.9194295406341553, 1.0678503513336182, 1.1157994270324707, 0.061982251703739166, 1.3023655414581299, 0.043535757809877396, 1.3573062419891357, -0.15744653344154358, 1.0897153615951538, 0.8832999467849731, 1.2463481426239014, -1.6908957958221436, -0.8157958388328552, -0.014347303658723831, -0.7762348651885986, 0.2052139937877655, -0.4257846176624298, -0.329109787940979, -0.49325013160705566, 0.24367095530033112, -0.33758842945098877, 1.0242652893066406, -0.004664672538638115, 0.1373482495546341, -0.5595322251319885, -1.9474878311157227, -0.5717593431472778, 0.9331375360488892, -1.6843022108078003, -7.920205593109131, 0.2614009380340576, -0.10731442272663116, 0.35482528805732727, -0.22402608394622803, -1.2877652645111084, -0.42474496364593506, -0.2405487447977066, -0.2385784238576889, 1.4248721599578857, -0.13411717116832733, -0.27182987332344055, -0.49711164832115173, -0.25287309288978577, 0.7150172591209412, -0.2636476457118988, 0.5496171116828918, -0.48690852522850037, 0.37256836891174316, -0.2813773453235626, -0.6301774978637695, -0.022956276312470436, -0.7433810234069824, -0.41618579626083374, -0.10125327855348587, -0.8941792845726013, 0.07493140548467636, 0.31226658821105957, -0.20659439265727997, -0.5189365148544312, 0.8893524408340454, 0.2378164380788803, 0.1880926638841629, 0.6573669910430908, 0.5610405206680298, -0.01499880850315094, 0.6493523716926575, 0.17413483560085297, 1.1177597045898438, -0.32550767064094543, -1.12490975856781, -0.6064077615737915, 0.21695733070373535, -0.9314373731613159, 0.8258804082870483, 0.38327252864837646, -0.38434654474258423, 0.9376931190490723, 0.4640830457210541, 0.9097597002983093, 0.027170345187187195, -1.0505239963531494, 1.1211975812911987, 1.092104196548462, -0.2733094394207001, -0.2930658459663391, -1.4734100103378296, -0.018150612711906433, -0.21717125177383423, -1.9889824390411377, 0.2764577865600586, 0.09945636987686157, 0.23032519221305847, -1.3424738645553589, 0.3571773171424866, -0.10897625237703323, -0.7101587653160095, 0.6926386952400208, -0.16710786521434784, 0.8700288534164429, -0.3397953510284424, -1.2694077491760254, -0.3088573217391968, 0.24344056844711304, 0.7228123545646667, -0.11829836666584015, -0.15651750564575195, 0.756011426448822, 0.8705148696899414, 0.6178133487701416, 1.2725567817687988, 1.2062652111053467, -0.2043643444776535, 1.092972755432129, 0.4266867935657501, -0.9676385521888733, -0.30592504143714905, -0.7853453755378723, -0.26554661989212036, 0.050291553139686584, 0.2870166003704071, -1.3781185150146484, -0.9326210021972656, 0.8005033135414124, 1.4063918590545654, 0.5577831864356995, -0.38269808888435364, -1.1558561325073242, -0.6051660180091858, -0.5186218619346619, -0.3016546070575714, -0.5244797468185425, -0.32024919986724854, 0.8818086981773376, -0.8395915627479553, 0.5077176094055176, -1.8842253684997559, 0.22547155618667603, 0.9334278106689453, 0.6124427318572998, -0.3896050453186035, 0.47700217366218567, 0.2712785303592682, -0.4431449770927429, -1.3581799268722534, 0.9153532981872559, -0.35351741313934326, -0.10890699923038483, -1.0604827404022217, 0.0327901765704155, -1.239589810371399, 0.025508441030979156, -0.3663257658481598, 0.6563295722007751, 0.90288245677948, -0.2518838346004486, 0.264721155166626, -0.5429294109344482, -1.3937214612960815, -0.17817680537700653, 0.08684441447257996, -0.13427802920341492, 0.8406184911727905, -0.18315815925598145, -0.4580715596675873, 1.0896227359771729, -0.43471625447273254, 0.13221228122711182, 0.4462040960788727, -0.21027310192584991, 0.39229321479797363, -0.3506402373313904, -0.08191505074501038, -0.11796985566616058, 0.10785277932882309, 0.1253286600112915, -0.8443257808685303, 1.357699990272522, -1.5465431213378906, -0.30681437253952026, 0.19784343242645264, -0.4533674120903015, 0.14218558371067047, 0.41972091794013977, -0.46560218930244446, 0.4404677152633667, -0.5540372729301453, -0.8057247400283813, 0.09344165772199631, -0.25813567638397217, 0.09327403455972672, -0.48895254731178284, 0.3309519588947296, -0.278783917427063, -0.942711353302002, -0.13478276133537292, -0.5148259401321411, 1.4161899089813232, 1.4320439100265503, -0.1791417896747589, -0.18714438378810883, -0.2402219921350479, 0.36148056387901306, -0.9940047264099121, 0.321905255317688, 0.8188326358795166, -1.0866621732711792, -0.009627033956348896, 0.2997581362724304, -1.5949287414550781, 0.42908552289009094, 0.8405992388725281, 0.15108035504817963, 0.38437211513519287, -0.06752461194992065, -0.027345456182956696, -0.1949586123228073, 0.4809368848800659, 0.8034525513648987, -0.8696228861808777, -0.29511603713035583, 1.0457441806793213, -0.3071644902229309, 0.40963199734687805, -0.3198654353618622, 0.5302817225456238, -0.4103780686855316, 0.9889703392982483, -0.9546708464622498, -0.6456745862960815, -0.23121467232704163, 0.46364885568618774, 0.8712343573570251, -0.49355170130729675, 0.20015069842338562, 0.36975035071372986, 0.7585070133209229, 0.15569448471069336, 0.1063818410038948, 0.45375964045524597, -0.6686282157897949, -0.5349741578102112 ]
197
0704.0199
Christian Krattenthaler
Christian Krattenthaler (Universit\"at Wien) and Thomas M\"uller (Queen Mary & Westfield College, University of London)
Decomposition numbers for finite Coxeter groups and generalised non-crossing partitions
AmS-LaTeX; 65 pages. Final version to appear in Trans. Amer. Math. Soc
Trans. Amer. Math. Soc. 362 (2010), 2723-2787
null
null
math.CO math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Given a finite irreducible Coxeter group $W$, a positive integer $d$, and types $T_1,T_2,...,T_d$ (in the sense of the classification of finite Coxeter groups), we compute the number of decompositions $c=\si_1\si_2 cdots\si_d$ of a Coxeter element $c$ of $W$, such that $\si_i$ is a Coxeter element in a subgroup of type $T_i$ in $W$, $i=1,2,...,d$, and such that the factorisation is "minimal" in the sense that the sum of the ranks of the $T_i$'s, $i=1,2,...,d$, equals the rank of $W$. For the exceptional types, these decomposition numbers have been computed by the first author. The type $A_n$ decomposition numbers have been computed by Goulden and Jackson, albeit using a somewhat different language. We explain how to extract the type $B_n$ decomposition numbers from results of B\'ona, Bousquet, Labelle and Leroux on map enumeration. Our formula for the type $D_n$ decomposition numbers is new. These results are then used to determine, for a fixed positive integer $l$ and fixed integers $r_1\le r_2\le ...\le r_l$, the number of multi-chains $\pi_1\le \pi_2\le ...\le \pi_l$ in Armstrong's generalised non-crossing partitions poset, where the poset rank of $\pi_i$ equals $r_i$, and where the "block structure" of $\pi_1$ is prescribed. We demonstrate that this result implies all known enumerative results on ordinary and generalised non-crossing partitions via appropriate summations. Surprisingly, this result on multi-chain enumeration is new even for the original non-crossing partitions of Kreweras. Moreover, the result allows one to solve the problem of rank-selected chain enumeration in the type $D_n$ generalised non-crossing partitions poset, which, in turn, leads to a proof of Armstrong's $F=M$ Conjecture in type $D_n$.
[ { "created": "Mon, 2 Apr 2007 14:10:05 GMT", "version": "v1" }, { "created": "Fri, 9 Jan 2009 11:03:54 GMT", "version": "v2" }, { "created": "Tue, 17 Nov 2009 10:18:51 GMT", "version": "v3" } ]
2010-01-18
[ [ "Krattenthaler", "Christian", "", "Universität Wien" ], [ "Müller", "Thomas", "", "Queen Mary & Westfield College, University of London" ] ]
07
[ -0.19203127920627594, -0.15548662841320038, -0.9571236968040466, -0.15440762042999268, 0.003116343170404434, -1.018109917640686, -1.0752558708190918, 0.018974492326378822, -1.7804094552993774, -0.42789769172668457, 0.0094918766990304, -0.17492133378982544, 0.7911555171012878, 0.3036329448223114, 1.1517430543899536, -0.27601227164268494, -0.09561234712600708, 0.9348088502883911, 0.10157176852226257, -1.8547112941741943, -0.6448104381561279, -0.3414708375930786, -1.3125473260879517, -0.5545225739479065, -0.0014937331434339285, 0.8055317997932434, -0.09084611386060715, 1.3131541013717651, -1.5058441162109375, 0.6901262402534485, 0.9624332785606384, -0.7147817015647888, -0.12528029084205627, 0.06717828661203384, -0.1444195657968521, -0.04825623705983162, 0.8079689741134644, -1.16124427318573, -0.4643685519695282, -0.18053393065929413, 1.4619001150131226, -0.8359803557395935, -0.03201973810791969, -1.6187573671340942, -0.4194621443748474, -0.6613372564315796, 0.697531521320343, -0.39762452244758606, 0.2340092808008194, 0.6850269436836243, -0.7429332733154297, -0.3539183437824249, -1.908368706703186, -0.4200846254825592, -0.6729825735092163, 0.4552835524082184, -1.0744704008102417, -0.012423334643244743, 0.6322613954544067, 0.4003964066505432, -0.7745693922042847, 0.9786179661750793, 0.5449731349945068, 0.13629697263240814, 0.0191677026450634, -0.5696154832839966, -1.6421922445297241, -0.18073147535324097, 1.361815333366394, -0.9471517205238342, 1.5952028036117554, -0.14906729757785797, -0.9828764200210571, -1.1016236543655396, 1.0476666688919067, 0.19351495802402496, 0.23256652057170868, 0.5119479298591614, 0.10855468362569809, -0.5596266388893127, -0.7171071767807007, 0.5804198980331421, -1.0583903789520264, -0.3836663067340851, 0.61137455701828, 0.4427540898323059, 0.08058839291334152, 0.4441436529159546, 0.018419163301587105, -0.13367390632629395, 0.5905082821846008, 0.48746272921562195, 0.9693760871887207, -0.884208619594574, -0.5142958760261536, -1.0615729093551636, -0.7825276851654053, -0.6334030032157898, -0.2496577501296997, 0.9670245051383972, -0.9141640067100525, 0.8329308032989502, -0.02461901120841503, 0.11085083335638046, -0.2884153723716736, 0.21591976284980774, 0.9272146224975586, -0.39565572142601013, 0.8119441866874695, -0.8355607390403748, 0.08661055564880371, -0.7292695045471191, -0.4089113771915436, 0.042924314737319946, -0.8333850502967834, 0.8828437924385071, -0.3471444249153137, 0.2620498239994049, -0.8261630535125732, 0.2700335383415222, 0.1557813584804535, 0.8037130236625671, 1.3049650192260742, -0.8704800605773926, 0.03454143926501274, 0.852091372013092, 1.0017378330230713, 0.16517743468284607, -0.3097265064716339, 0.20460665225982666, 0.2589254081249237, -0.5036774277687073, 0.9526119828224182, -0.2980256974697113, -0.35405611991882324, 0.4791261553764343, 0.37836095690727234, -0.2779409885406494, -1.2169877290725708, -0.025446923449635506, -0.06956508010625839, 0.03761674836277962, 0.0461876280605793, -0.5405235290527344, 0.9166333675384521, -0.25130218267440796, -0.8131353259086609, -0.6644673943519592, 0.5137612819671631, 0.5673869252204895, -0.2548008859157562, -0.061498187482357025, -0.8177682757377625, -0.04709842428565025, 1.0781322717666626, 0.2865149974822998, -0.6733930706977844, 0.9341893792152405, 0.11223603785037994, 0.8663949966430664, 0.33676254749298096, -0.6047291159629822, 0.9396043419837952, -0.36587685346603394, -0.02432757057249546, -0.7816951870918274, -0.3985403776168823, -1.577998399734497, -1.2268428802490234, -0.939288318157196, 0.3627166450023651, -1.1021461486816406, 0.4285884499549866, -0.4593304693698883, -0.15219178795814514, -0.8535550236701965, -0.05588696524500847, 0.27740734815597534, 0.4159697890281677, 0.972687840461731, -0.8926078081130981, 0.46784448623657227, 0.6589693427085876, 0.5087350010871887, 0.6550848484039307, 0.577081024646759, 0.8193539381027222, 0.6582016944885254, 0.8272059559822083, -0.37476852536201477, -1.0671663284301758, -1.4458986520767212, -2.3938491344451904, 1.316987156867981, -0.34234657883644104, 0.6103090643882751, -0.15317697823047638, 0.7203580141067505, -0.518436849117279, 0.04148826748132706, 1.306051254272461, -1.1115925312042236, -0.45934557914733887, 0.09980351477861404, -0.20326948165893555, 0.32328423857688904, 0.6464841365814209, 0.7010322213172913, 0.0840756967663765, -0.1972159445285797, 0.03266661614179611, -0.8280420303344727, 0.13943704962730408, 0.7385879755020142, 1.5975252389907837, 0.5874822735786438, 0.48326370120048523, -0.6240887641906738, 0.29728609323501587, -0.6014386415481567, -0.321950763463974, 0.4475398063659668, -0.25301772356033325, -1.6030068397521973, 0.3547217845916748, -0.8897313475608826, -0.5835002064704895, -1.0996885299682617, -0.03648127242922783, -1.532950520515442, 0.6665357947349548, 0.2795145511627197, 0.3661954700946808, -0.018949702382087708, 0.7163331508636475, 1.2148196697235107, 0.09701057523488998, -1.0298272371292114, 1.3052457571029663, -0.4323766231536865, -1.2266814708709717, 0.02192983403801918, -1.2215995788574219, -0.18973805010318756, -0.51396644115448, -0.27671894431114197, 0.09033855050802231, 0.8278170824050903, -0.8707776665687561, 0.2502565383911133, 0.2599392235279083, -1.3025267124176025, -0.4542127847671509, -1.319993495941162, -0.7076312899589539, 1.0048515796661377, -0.3443787395954132, -2.0566372871398926, -1.711071491241455, -0.7079339623451233, -0.3605157732963562, -0.32851362228393555, -0.06647772341966629, 2.8533785343170166, 0.7489034533500671, -0.93471759557724, -1.7119756937026978, -0.007753697689622641, 0.7620541453361511, -0.30918723344802856, 0.9996435046195984, -0.517493486404419, 0.17449209094047546, -0.6237912774085999, 0.2391895353794098, -0.18759337067604065, -0.03527986630797386, -0.11238359659910202, -0.6204819083213806, -1.7362556457519531, 0.11788743734359741, 0.5213924646377563, -1.0243107080459595, 0.42743876576423645, -1.297394871711731, -0.5946348309516907, -1.5528771877288818, 0.5818365812301636, -0.014669142663478851, 1.1409993171691895, 0.09991341084241867, -0.4901446998119354, 0.7259818911552429, 0.3265206217765808, -0.927173912525177, -0.6042714715003967, 0.18763071298599243, -0.3380442261695862, -1.0236870050430298, -0.2020026296377182, -0.29780566692352295, 0.8058044910430908, -0.5062958002090454, 0.5459170341491699, 1.0246026515960693, 0.0636204406619072, -1.1951065063476562, -0.09253207594156265, 0.34851503372192383, -0.31108689308166504, -1.5446743965148926, 0.7075030207633972, 0.6205773949623108, -2.2390456199645996, -1.2060281038284302, -0.8481405377388, 1.147780179977417, -0.12271659821271896, 0.6448141932487488, -1.8057981729507446, -0.9623219966888428, 0.408510684967041, 1.0322918891906738, 0.3524809777736664, 0.2830623388290405, -0.8470902442932129, -0.3436436057090759, 0.1335037648677826, 0.9599952697753906, -0.5280836224555969, -0.235267773270607, -0.9231826663017273, -0.5362229943275452, 0.16157583892345428, -0.31376439332962036, -0.23796240985393524, 0.37103769183158875, -0.5540441274642944, -0.8254172205924988, -0.8682398200035095, 0.42996448278427124, -0.6890503168106079, 0.46667367219924927, -1.3544625043869019, -0.2348482608795166, 0.31740275025367737, -0.18677537143230438, -0.3521445691585541, -0.5333309769630432, 0.0023013988975435495, 1.860533595085144, -0.6429635286331177, -0.08499836176633835, -0.6990615725517273, -0.81746506690979, 0.4010985195636749, 0.3661760687828064, -0.3385061025619507, 0.2761136293411255, 0.4935362637042999, -0.28703057765960693, -0.6413303017616272, 0.24350029230117798, -0.1933501660823822, -0.04426809027791023, -0.5178600549697876, 0.4863375127315521, -0.8806766271591187, -0.357120543718338, -0.2794291079044342, 1.130358099937439, -0.6211017966270447, 0.5315577387809753, 0.022822510451078415, 0.19515885412693024, -0.23985408246517181, -1.2414872646331787, 0.5427886247634888, 0.07800168544054031, -0.12827441096305847, -0.2858036756515503, -0.6024972200393677, -0.1600177139043808, 0.10671670734882355, -0.6023988127708435, 1.1442899703979492, 0.41831058263778687, -0.0783376395702362, -0.8560471534729004, -0.16560104489326477, -1.2119430303573608, -0.07083547860383987, -0.38318321108818054, 0.9006805419921875, -0.6229697465896606, -0.17293822765350342, -0.4988161027431488, -0.8736424446105957, -0.33626261353492737, 1.2125895023345947, 0.2927151322364807, -0.5269535183906555, -0.1532764881849289, 1.2897473573684692, -0.17263056337833405, -0.3516680598258972, 0.28946587443351746, -1.1912415027618408, 0.931459367275238, -0.16098132729530334, 1.1926640272140503, 0.9114202260971069, 0.09924367815256119, 0.6725391149520874, -1.2088947296142578, 1.0683937072753906, 0.04980066418647766, -1.162042498588562, 0.9025564789772034, -0.5926820039749146, -0.3191138207912445, -0.5024063587188721, 1.0286226272583008, 0.6400787830352783, -0.455373615026474, -0.7028908729553223, 0.4666534662246704, -0.8717276453971863, -0.590291440486908, -1.072758674621582, 0.7568045258522034, 0.9712205529212952, -0.8485952019691467, 0.265032023191452, 0.21743473410606384, 0.7091619372367859, -1.0035152435302734, 1.260230302810669, -0.12426582723855972, -0.3646261692047119, 0.05137082189321518, 0.597116231918335, 0.3633732795715332, -0.7533447742462158, 0.903304934501648, -0.8152733445167542, -0.0747280940413475, 1.502955436706543, -0.2516452670097351, 0.07876895368099213, -0.52923184633255, 1.0498279333114624, -0.8516870141029358, 0.9804722666740417, 0.2686983048915863, -0.09444519877433777, 0.8887237906455994, -0.3036293387413025, -0.09736554324626923, 0.17547065019607544, -1.7500929832458496, -0.3744529187679291, -0.09366218745708466, 0.5997534394264221, 1.162859320640564, -0.385215163230896, -0.2419014573097229, -0.3840777575969696, 0.4788177013397217, 1.0743225812911987, -0.5074754357337952, 0.35732904076576233, -0.7707786560058594, -0.6862652897834778, 0.3861468732357025, 0.46717095375061035, -0.33345240354537964, 0.9769108295440674, 1.1885581016540527, 0.8564682006835938, 0.2857774794101715, 0.8510852456092834, -0.21721290051937103, 0.936996340751648, 0.12081962078809738, 2.074700117111206, -0.05199466645717621, -0.2465532273054123, -0.02827966772019863, 0.004018796142190695, -0.6914570331573486, 0.7888230085372925, 0.3081367611885071, -0.33709532022476196, -0.49990907311439514, 0.6309277415275574, 0.2970128059387207, -0.1735948771238327, -0.22821569442749023, -0.05069600045681, 1.0514299869537354, -0.036356572061777115, -0.4154641926288605, 0.2509878873825073, -0.7929051518440247, -0.1842627376317978, 0.2624593675136566, 0.32611820101737976, -0.11043313145637512, 0.8971462845802307, -0.4534478783607483, -0.2522796392440796, -0.7376809120178223, 0.14592178165912628, 0.8652870655059814, 0.8435178399085999, -0.05952346697449684, -2.4404211044311523, 0.8085779547691345, 0.8600286841392517, -0.7351341247558594, 0.1855320930480957, 0.2345452606678009, 0.5053566098213196, 0.4570254981517792, -0.3750697076320648, -0.2638019621372223, -0.6509197950363159, -1.936145544052124, 0.0032713483087718487, 0.556020975112915, 0.45772820711135864, -1.141741394996643, -0.8286807537078857, 0.9878346920013428, -1.0793801546096802, -0.8382397294044495, 1.3593977689743042, -1.5382583141326904, 0.36831244826316833, 0.21220412850379944, 0.28682053089141846, 0.7022826075553894, 0.3496265411376953, 0.3743378818035126, 0.011368922889232635, 0.16139650344848633, -0.8058061003684998, 0.10267869383096695, 0.2875138521194458, 0.9179294109344482, 0.5923968553543091, 0.6608898043632507, 0.499302476644516, -0.3533709645271301, -0.3324578106403351, -6.532202243804932, 0.5192723870277405, -0.7054446339607239, 1.3261134624481201, 0.7282290458679199, -0.5864957571029663, -0.7352532148361206, 1.2325811386108398, 0.32829973101615906, -0.17153330147266388, 0.4876340329647064, -0.10576196014881134, -1.2589808702468872, 0.016559259966015816, -0.036091119050979614, 0.0000655630137771368, -0.34927165508270264, -0.3585206866264343, -0.43444937467575073, -0.6574780344963074, -0.39198172092437744, -0.031834524124860764, 0.24777807295322418, -0.3974452316761017, 1.8833560943603516, -0.30014321208000183, 0.339388370513916, -1.6641736030578613, 0.44009438157081604, 0.16991287469863892, -0.6916754841804504, -1.7351748943328857, -0.15521053969860077, 0.2879265546798706, -0.6408920884132385, -0.03138381615281105, 0.33609724044799805, -0.08374396711587906, -0.20505918562412262, 0.17351947724819183, -0.9609532952308655, 0.13619759678840637, 0.6282060742378235, -0.49719151854515076, -0.44550302624702454, -0.9395322203636169, 0.29798251390457153, 0.8803209066390991, -0.6971049308776855, -0.11756476759910583, 1.1868860721588135, -0.44529998302459717, 0.8589822053909302, -0.2439708709716797, -1.403415560722351, 0.3041030168533325, 1.1298409700393677, -0.25820624828338623, 0.5683966875076294, -0.8603085279464722, -0.5142247676849365, -0.2672487497329712, 1.0573478937149048, 1.0574994087219238, 0.01565787009894848, -0.7466755509376526, -0.43718037009239197, -0.9446659684181213, -0.1381194293498993, 0.8767715692520142, -0.8421417474746704, 0.5893500447273254, 0.3078564703464508, -0.4492553472518921, -0.34563836455345154, -0.900139331817627, -0.8818985819816589, -0.6084862351417542, -0.04368313029408455, -0.5987159609794617, -0.8036537766456604, 0.09645657986402512, 0.13863442838191986, 0.6042314767837524, 0.5859173536300659, -0.6843143701553345, 0.015223812311887741, -0.6560611724853516, -0.8945819139480591, 0.2396683692932129, -0.19920316338539124, 0.4842284321784973, 0.20745567977428436, 1.977030873298645, -1.2797855138778687, 0.6596315503120422, 0.5372294187545776, -0.2969030439853668, 0.41123780608177185, 0.5841463208198547, -0.20142850279808044, 1.1882517337799072, 0.9322824478149414, 0.6320803761482239, -1.3775248527526855, 1.5697826147079468, -0.05218280851840973, -1.286293387413025, 1.8715611696243286, 0.625265896320343, 0.4205065667629242, 0.1306149661540985, 0.32782357931137085, -0.4999062418937683, 0.2184126377105713, 1.1441816091537476, 0.07181156426668167, 1.1420793533325195, -0.34674161672592163, 0.24699662625789642, 0.5119239091873169, -0.6506254076957703, -0.9105218648910522, -0.6955562829971313, 0.3637904226779938, 0.4777872860431671, -1.816247820854187, 0.24949748814105988, 0.735673189163208, -0.0364675335586071, -0.6714069247245789, 0.44502678513526917, -1.5509312152862549, 0.11617682874202728, 0.2208825647830963, 0.009007559157907963, -0.5013939142227173, 0.8895045518875122, 0.6341400146484375, -1.2024461030960083, -0.6002089381217957, 0.367382287979126, -0.37314242124557495, 0.8310723900794983, -0.03646860271692276, 0.7098431587219238, -0.14798976480960846, -0.3829776644706726, -1.0994508266448975, -0.9257625937461853, -0.5413422584533691, 0.5676954388618469, 1.7306022644042969, -1.146207332611084, 0.005775813013315201, -0.2486182302236557, 0.08488480746746063, -0.48911571502685547, -0.5573520064353943, -0.5055956840515137, 1.03042471408844, 0.13165614008903503, 1.666735291481018, -0.29297974705696106, 0.14796842634677887, 0.13429617881774902, -0.5202397108078003, -0.22968152165412903, 0.6185824275016785, 0.8282994031906128, 0.044876452535390854, -1.2981761693954468, -0.08432657271623611, 0.6295163035392761, 0.1904047280550003, 2.0238053798675537, -0.9131763577461243, -0.3191389739513397, -0.022335214540362358, -1.2484233379364014, 1.8623623847961426, -0.3901769816875458, 0.4040817618370056, 1.2898083925247192, 0.060433123260736465, -1.0338337421417236, 0.5340203642845154, -0.1498420387506485, 0.9248962998390198, 1.147493600845337, -0.06457602232694626, -0.33725911378860474, 0.21315327286720276, -1.2609858512878418, 0.07630609720945358, 0.19797615706920624, -0.26642337441444397, 0.1521911323070526, 1.0051106214523315, -0.7002546191215515, -0.2026435136795044, 1.058138370513916, 0.5753630995750427, -0.002677157986909151, 0.5090733170509338, 0.4134877026081085, 0.36630192399024963, 0.9026840925216675, -1.2301883697509766, -0.7809072732925415, 0.5498898029327393, -0.3183394968509674 ]
198
0704.0200
Martin Schumacher
Martin Schumacher
Electromagnetic polarizabilities and the excited states of the nucleon
null
Eur.Phys.J.A31:327-333,2007
10.1140/epja/i2006-10235-1
null
hep-ph nucl-ex
null
The electromagnetic polarizabilities of the nucleon are shown to be essentially composed of the nonresonant $\alpha_p(E_{0+})=+3.2$, $\alpha_n(E_{0+})=+4.1$,the $t$-channel $\alpha^t_{p,n}=-\beta^t_{p,n}=+7.6$ and the resonant $\beta_{p,n}(P_{33}(1232))=+8.3$ contributions (in units of $10^{-4}$fm$^3$. The remaining deviations from the experimental data $\Delta\alpha_p=1.2\pm 0.6$, $\Delta\beta_p=1.2\mp 0.6$, \Delta\alpha_n=0.8\pm 1.7$ and $\Delta\beta_n=2.0\mp 1.8$ are contributed by a larger number of resonant and nonresonant processes with cancellations between the contributions. This result confirms that dominant contributions to the electric and magnetic polarizabilities may be represented in terms of two-photon couplings to the $\sigma$-meson having the predicted mass $m_\sigma=666$ MeV and two-photon width $\Gamma_{\gamma\gamma}=2.6$ keV.
[ { "created": "Mon, 2 Apr 2007 14:10:13 GMT", "version": "v1" } ]
2013-06-26
[ [ "Schumacher", "Martin", "" ] ]
07
[ -0.8780946135520935, 0.31781378388404846, -0.1666659265756607, -1.1734628677368164, 0.710936427116394, 0.7295495271682739, -0.8027583360671997, -1.118345022201538, 0.5015564560890198, -2.3336985111236572, -1.1676433086395264, 0.02259656973183155, -0.13471011817455292, 0.38245266675949097, -2.215022087097168, -0.47219520807266235, -0.1855558604001999, -0.38351190090179443, 0.8162232637405396, 0.3975829780101776, 0.6008060574531555, 0.9492392539978027, 0.2346905618906021, -1.027313470840454, -0.653793454170227, -0.28878024220466614, 0.33009952306747437, 1.199293851852417, -0.9144203662872314, -0.481431245803833, -0.8435000777244568, 0.3020371198654175, -0.050779446959495544, -0.02803104743361473, -0.44366616010665894, 0.7798981070518494, -0.2256939560174942, -0.6758232712745667, -0.15229935944080353, -0.30489709973335266, -0.18864303827285767, -0.06427183747291565, 0.5186578631401062, 1.2028529644012451, -1.7189490795135498, 1.6014243364334106, 0.02154254913330078, -1.3939536809921265, -0.8266972303390503, 0.3842095136642456, -0.9470362067222595, -0.127517968416214, -0.3490019142627716, -0.5816009640693665, -0.6530083417892456, 0.15335685014724731, -0.6933173537254333, 0.28109320998191833, -0.29787081480026245, -0.2043672353029251, -0.03102291375398636, -0.32983583211898804, -0.9187317490577698, -0.9876554012298584, 0.7315342426300049, 0.4545617401599884, -0.5875380635261536, 0.1544676274061203, 0.7862412333488464, 0.8123906850814819, -0.5061149001121521, 0.18495601415634155, -0.502828061580658, -0.8059398531913757, -0.6723154783248901, -0.722082793712616, -1.2878307104110718, 0.07422781735658646, 1.2492785453796387, 0.2963339388370514, -1.16049325466156, 0.33619067072868347, -1.14347505569458, -0.6992439031600952, -0.6210046410560608, -0.2748539447784424, -0.20915135741233826, -0.8254517912864685, -0.9986687898635864, 0.10801703482866287, -0.22423066198825836, -1.65373957157135, 0.37110185623168945, 0.9136072397232056, 0.1736181229352951, 0.07129465043544769, -1.6556063890457153, 0.3915417492389679, -0.05990178510546684, 0.7862451076507568, 0.597381055355072, 0.9183087348937988, -0.39646777510643005, 0.7883580923080444, 0.33025234937667847, 1.137812614440918, -0.29309409856796265, 0.1684528887271881, -0.7823281288146973, 0.4371160566806793, -0.29452797770500183, -0.8376785516738892, -0.2965961992740631, 0.44229671359062195, 0.4107651710510254, 0.5896182656288147, -0.910182535648346, -0.03192831948399544, 1.0699516534805298, 0.012369342148303986, 0.025400958955287933, -1.0455131530761719, 0.2649621069431305, -0.11244937777519226, 0.3962630331516266, -1.0086877346038818, 0.6026242971420288, 0.29218679666519165, 0.36636412143707275, -0.189275324344635, -0.07052647322416306, 0.18315735459327698, -0.03141447529196739, 0.6035458445549011, -1.063868522644043, 1.560429573059082, -0.2602314352989197, 0.23794128000736237, -0.8352797031402588, 0.1317971795797348, -0.28885048627853394, -0.6969970464706421, -0.42807143926620483, -0.39735352993011475, 0.27821123600006104, -0.5759872198104858, -0.32640478014945984, -0.8143004775047302, -0.7271394729614258, -0.4771457314491272, -0.3097589313983917, -1.823224663734436, 0.3928292989730835, 0.5253598093986511, -0.9216100573539734, -0.4527924656867981, 0.6871630549430847, 0.9003207683563232, 0.33055058121681213, 0.09019114077091217, 0.7007370591163635, -0.21437059342861176, 0.45969000458717346, -1.1143748760223389, 0.425893634557724, -1.3185847997665405, 0.7211475372314453, 0.8989478945732117, 0.07557288557291031, -0.6527521014213562, -0.3305377960205078, -1.1310192346572876, 0.7206280827522278, 0.49884265661239624, 0.000481773866340518, -0.38826462626457214, -0.15967054665088654, 0.9853243827819824, -0.9865127205848694, -0.15377599000930786, -0.42005228996276855, -0.8858702182769775, 0.38414859771728516, -0.7622385621070862, -0.18042783439159393, -0.8299447298049927, 0.5361654162406921, -0.5234256982803345, 0.8031736612319946, -0.5493453741073608, -1.8941394090652466, -0.32256200909614563, -1.4980930089950562, -0.21658216416835785, 0.07161283493041992, 0.6932832598686218, 1.4344526529312134, 0.9298389554023743, 0.4051463007926941, 1.3810479640960693, -0.25092780590057373, -0.28159642219543457, 0.18463383615016937, -0.4493853449821472, -0.18737195432186127, 0.5171027183532715, 0.28970786929130554, 0.319642037153244, -1.48740816116333, 0.5091002583503723, 0.8589228391647339, -0.7859236001968384, 0.14065682888031006, 0.3008235991001129, 1.650649070739746, -0.7859931588172913, -0.539868950843811, 0.08721324801445007, -0.17017531394958496, -0.3694285750389099, -0.3537557125091553, 0.43217191100120544, 1.1465415954589844, -0.4429379403591156, 0.7422733306884766, 0.06678958237171173, 0.4341086447238922, 0.20744116604328156, -1.0638103485107422, -0.9741090536117554, 0.47874781489372253, -0.5369138717651367, 0.29870858788490295, 0.07317979633808136, 0.32427218556404114, -0.1042352020740509, 0.3089611232280731, -0.7036423683166504, -0.07531319558620453, 0.33941134810447693, -0.09178666770458221, 1.2680151462554932, 1.0478571653366089, -0.5141688585281372, -0.29960423707962036, -0.997406542301178, -1.1493871212005615, -0.6397572159767151, 1.3004199266433716, 0.388224333524704, -0.2569286525249481, 0.5148137211799622, 0.28390762209892273, 1.144964575767517, 0.24738019704818726, 0.6819629073143005, 0.6217453479766846, -0.7509264349937439, 0.79420006275177, -0.16490569710731506, -0.2031121551990509, -0.8463397026062012, -0.7854905724525452, 0.6654893755912781, 0.764120876789093, -0.6902986168861389, 0.935576856136322, -0.5394633412361145, -0.24537719786167145, -0.7351276278495789, -1.4087531566619873, 0.4415825605392456, 0.5415407419204712, -1.588318943977356, 0.21861374378204346, -0.7816454172134399, 0.6817453503608704, 0.6782349348068237, -0.8966315388679504, 0.1277434080839157, 0.19189639389514923, 1.0942010879516602, -0.17933660745620728, 0.08737357705831528, 0.3526890277862549, -1.713117003440857, 0.5664502382278442, 0.014215417206287384, -0.10170552134513855, -0.00818988773971796, -0.7282866835594177, 0.25824078917503357, -0.32850515842437744, -1.6660236120224, -0.14145372807979584, 0.28481554985046387, -1.1368377208709717, -2.1328322887420654, 1.1566401720046997, 0.27490219473838806, -0.5808422565460205, -0.2988961637020111, -0.037433069199323654, -0.7813189625740051, 1.0947352647781372, -0.01669430173933506, 0.29439401626586914, 0.3786521852016449, 1.1726865768432617, -0.5588346123695374, -0.7725439667701721, -1.0497989654541016, 0.37375161051750183, 1.2710697650909424, -1.226254940032959, -0.12573474645614624, 0.18945039808750153, -0.20925883948802948, -0.7809627056121826, 0.1290958672761917, 0.41288965940475464, 1.024137258529663, 0.6118322610855103, -0.8086749315261841, 0.41698315739631653, 0.25702518224716187, -0.9441194534301758, -0.7205613851547241, 0.663703441619873, -1.1754783391952515, 0.5758229494094849, 0.33843478560447693, 0.6873217225074768, 1.9587911367416382, 0.6374800801277161, 0.5894379019737244, -0.15420015156269073, -0.020921427756547928, 0.16369882225990295, -0.5992172956466675, -0.215094655752182, 0.08845793455839157, -0.17359130084514618, 0.39772969484329224, -1.9687193632125854, 0.9616663455963135, -0.35883334279060364, 0.010279456153512001, 0.14925017952919006, 0.23094287514686584, -0.5165523886680603, 0.12076954543590546, 0.9277236461639404, -0.37366795539855957, 0.5940230488777161, 0.10559025406837463, 0.5853554010391235, -0.039503566920757294, -0.36534157395362854, -0.0408400222659111, -0.2568821310997009, -0.13285481929779053, 0.07929134368896484, -1.5371123552322388, -0.47957587242126465, -0.680780827999115, -1.391810655593872, 0.7821868062019348, 0.0252119991928339, 1.161616563796997, 0.3628618121147156, 0.3855936825275421, -0.15373364090919495, -0.42777225375175476, -0.19345122575759888, 0.10851242393255234, 0.8613237738609314, -0.15752018988132477, -0.602440357208252, -0.2322266399860382, 0.42769715189933777, -0.5121897459030151, 1.221481204032898, 1.4147909879684448, 0.9718264937400818, -0.6945199370384216, 0.43798455595970154, -0.7278405427932739, -1.1381996870040894, 0.8416210412979126, -0.8481701612472534, 0.39560091495513916, 0.19623038172721863, -0.7841246128082275, -0.668482780456543, -0.4941457211971283, 1.3907060623168945, -0.5320282578468323, -0.49765685200691223, 0.5397684574127197, 0.36686283349990845, 0.6727379560470581, 0.23173575103282928, -1.2603776454925537, 0.27404239773750305, 0.6224664449691772, -0.00867334846407175, -0.8668668866157532, -0.7197303771972656, 0.8295854926109314, -0.019083479419350624, 1.5935734510421753, -1.0556604862213135, 0.271316796541214, 1.0490916967391968, -1.1293220520019531, 0.0298028402030468, 0.599664568901062, -0.6739611029624939, 0.6740613579750061, 0.011976629495620728, -0.5416582226753235, 0.3227907717227936, 0.19243362545967102, -0.727607011795044, -0.46874651312828064, -1.225089430809021, -0.4236088693141937, 0.903428316116333, -0.0999896302819252, 0.10466496646404266, -0.25142163038253784, -1.8263319730758667, -1.0157887935638428, 0.26449158787727356, 0.412442147731781, 0.5854194164276123, -0.5255918502807617, -0.20014294981956482, -0.14061522483825684, 0.743111789226532, 0.25181540846824646, 0.14562547206878662, -0.41103363037109375, -0.5082747340202332, -0.19987080991268158, -0.7192248106002808, 1.6882442235946655, -0.1833050400018692, 0.2011663317680359, 0.18390779197216034, 0.048884324729442596, -0.8085997104644775, -0.20236685872077942, -0.337527334690094, -0.6732920408248901, -0.4477289915084839, 0.03595886379480362, -0.12480767071247101, 0.5588414072990417, 1.4161663055419922, -0.16178755462169647, 0.03939488157629967, -1.3355058431625366, 0.5980402827262878, 0.4193984866142273, 1.5100526809692383, -1.0160707235336304, -1.220659852027893, -0.39931192994117737, -0.667966365814209, 0.01868455670773983, -0.1914667934179306, 0.1833472102880478, -1.004501461982727, -0.9959938526153564, 2.2421622276306152, 1.0426158905029297, 0.706346333026886, 0.31141605973243713, 0.7904239296913147, 1.263880968093872, -0.6136114001274109, -1.2921165227890015, 0.7093292474746704, 0.42003825306892395, -1.9630694389343262, -0.31568899750709534, -0.8021146655082703, 0.7647148370742798, 0.8917702436447144, 0.21083268523216248, -0.18534483015537262, 1.4454007148742676, -0.08425445109605789, 0.28269463777542114, -0.32976770401000977, 1.0588862895965576, -0.42221879959106445, -0.7588350176811218, -0.08461720496416092, -2.069991111755371, 0.49442338943481445, -1.2929480075836182, -0.7772138714790344, 0.5330514907836914, 0.6711779832839966, 0.07102042436599731, 0.1126217246055603, -1.2058025598526, 0.9961933493614197, 0.17297078669071198, -0.21293620765209198, 1.1120963096618652, -0.6806044578552246, 0.0855722725391388, 0.9082070589065552, -2.608999252319336, -0.548909068107605, -1.2566667795181274, 0.3058667778968811, 0.9141665101051331, 0.30147087574005127, 0.5608924627304077, 0.17011407017707825, 0.024290308356285095, -0.23137018084526062, -0.45203137397766113, 0.6161286234855652, -0.24561884999275208, -0.20400568842887878, 1.124579668045044, -0.49819594621658325, 0.2585807740688324, -1.7059857845306396, 1.23503839969635, 0.6856093406677246, 0.3625078499317169, -1.0259771347045898, 0.23602961003780365, -0.9039168953895569, 0.3101767599582672, -0.9154394268989563, 0.4256395697593689, -0.5827021598815918, 0.3799016773700714, 0.004456435330212116, -0.01219220831990242, 0.823196530342102, 0.0816827341914177, -0.4725055694580078, 0.7057532072067261, 0.16298097372055054, -0.18259350955486298, -0.13637445867061615, -0.9937742352485657, -6.413162708282471, 0.0652872622013092, -0.4915865957736969, 1.7649191617965698, 0.5193353295326233, -0.7631821036338806, 1.3402085304260254, -0.28235411643981934, 0.1702241748571396, -0.3231438100337982, -0.33306553959846497, 0.8767867684364319, 0.19112420082092285, 0.5860498547554016, 0.10543997585773468, -1.044215202331543, 0.2322433739900589, -0.09322038292884827, -0.1830310970544815, 0.1483280062675476, 0.3992396295070648, 0.8160694241523743, -0.7763959169387817, 0.17117257416248322, -0.4547049105167389, 0.051629818975925446, -0.11847396194934845, -0.0019569231662899256, 0.07649873942136765, 0.1386832445859909, 0.6011342406272888, 1.2473901510238647, 0.0724451020359993, 1.1793383359909058, 0.8988113403320312, -1.4426532983779907, 0.4362553656101227, 1.0730630159378052, 0.6738573908805847, -0.794701337814331, 1.2849295139312744, -0.16001638770103455, 0.4488789737224579, -0.18702785670757294, 0.2220926731824875, -0.8426895141601562, 0.5553046464920044, -1.1729741096496582, -0.7339848279953003, 0.11896844953298569, 0.2024134397506714, -1.3030897378921509, -0.633098840713501, -0.13306720554828644, 0.961609423160553, -0.13335290551185608, -0.9473806619644165, -0.331621378660202, -1.3840469121932983, 0.1311122179031372, 0.7678038477897644, -0.7299753427505493, 1.0377238988876343, 0.09335184097290039, -2.1188788414001465, -1.2515023946762085, 1.0182726383209229, -0.5255970358848572, -0.05725124478340149, 0.711220383644104, -1.5081720352172852, -0.9071386456489563, -0.8935781717300415, 0.6308392882347107, 0.60802161693573, -0.1922253519296646, -0.5232920050621033, 1.1480275392532349, 0.34788089990615845, 1.3930593729019165, 0.2231048345565796, -0.39778879284858704, -0.5856007933616638, 0.36183103919029236, 1.3286638259887695, -0.4115380048751831, -0.12785032391548157, -0.3304775655269623, 0.5707441568374634, -0.6401532888412476, 0.06899543851613998, -0.14148524403572083, -0.3980776071548462, 0.49026715755462646, 1.179510235786438, 1.241178274154663, 1.2571992874145508, -0.9733466506004333, -1.3134691715240479, -0.017196789383888245, -1.0338237285614014, -0.32142147421836853, -0.4254501461982727, 0.001803145045414567, 0.7207300662994385, 0.7240011692047119, -0.8710159659385681, -0.28456366062164307, -0.09759872406721115, 1.1535433530807495, -0.8566489219665527, -0.007877162657678127, -0.24498869478702545, -0.4933009147644043, -0.3981960415840149, -1.2638336420059204, -0.5782191753387451, 0.11894353479146957, 0.34745100140571594, -0.7827486991882324, -1.6471495628356934, 0.9728728532791138, -0.22630764544010162, -0.4747943878173828, 0.9621679782867432, -0.10883702337741852, 0.3417450785636902, 0.6862526535987854, -1.6083271503448486, -0.27967557311058044, 0.12736497819423676, -0.28153207898139954, -0.147039532661438, -0.3256353735923767, -1.4929615259170532, 0.14085835218429565, -0.5063986778259277, -0.7869851589202881, -0.08003921806812286, -0.15128253400325775, 1.4791691303253174, 0.12208325415849686, 0.657845139503479, 0.1743951141834259, 0.2140834778547287, -0.5731173157691956, -0.31807899475097656, 0.3583822548389435, -0.3772553503513336, 0.3694309890270233, 0.6374514698982239, 0.49739864468574524, -0.18953345715999603, 0.3711605370044708, -0.012606983073055744, -0.48600253462791443, -0.5392002463340759, -0.6981461048126221, -0.11496242880821228, -0.24402916431427002, 1.7034882307052612, -0.3203936815261841, 1.0303877592086792, 0.25490206480026245, -1.1030981540679932, -1.1617687940597534, -0.03668292611837387, 0.5883434414863586, 0.5010684132575989, 0.5102635622024536, -0.07603804022073746, -0.3221103250980377, 0.13898132741451263, -0.03366536647081375, 0.12177293002605438, -0.23433692753314972, -0.40829476714134216, 0.17173534631729126, 2.008943796157837, -0.8926024436950684, 0.9498201012611389, 0.7520643472671509, 0.49969255924224854, 0.8542853593826294, -0.20711089670658112, 1.9597523212432861, 0.29004111886024475, -0.40534114837646484, -0.7792859077453613, -0.005894747097045183, -0.14264245331287384, -0.3387601375579834, -0.2375480830669403, -0.4670562744140625, -0.37067657709121704, -0.2383333444595337, 1.02864670753479, 0.03362620249390602, -0.4233893156051636, 1.149960994720459, -1.364452838897705, 1.3690805435180664, 0.7782440185546875, 0.279838502407074, -0.1049414649605751, 0.2165881246328354, -0.2332082837820053, 0.6334802508354187, -0.991919994354248, 0.4916129410266876, 0.7566398978233337, -0.42051300406455994 ]
199