bluuebunny/crossref_metadata_2025 huggingface dataset:
High-resolution infrared spectrum and energy levels of the weakly bound complex, CO-orthoD2
Authors: McKellar A. R. W.
Published: July 2002

The infrared spectrum of the weakly bound complex CO-orthoD2, which accompanies the fundamental band of CO in the 4.7 μm region, has been recorded at high resolution using a long-path (≈200 m), low-temperature (≈47 K), absorption cell coupled either with a Fourier transform spectrometer or with a tunable infrared diode laser. A total of 275 transitions, constituting most (>85%) of the observed lines, have been rotationally assigned in terms of 83 discrete quantum states of the complex. The positions of most of these energy levels have been accurately determined (<0.001 cm−1) for both the vCO=0 and 1 vibrational states. The binding energy of the complex, relative to the zero-point level, was determined to be about 30 cm−1. Predicted microwave and millimeter wave frequencies are given for the pure rotational spectrum. The energy level pattern derived here, together with that determined previously for the analogous CO-paraH2 complex, provides direct and precise information for testing and refining the intermolecular potential energy surface of the carbon monoxide–hydrogen system.
Zero kinetic energy photoelectron spectra of the allyl radical, C3H5
Authors: Gilbert T. , Fischer Ingo , Chen P.
Published: July 2002

We present high resolution zero kinetic energy photoelectron spectra of the allyl radical through various intermediate vibronic states. The spectra yield an ionization energy of 65 762 cm−1, corresponding to 8.153 eV, as well as frequencies for a number of cationic vibrational states. The spectrum from the B 000 state shows activity in modes corresponding to out-of-plane motion of the terminal −CH2 groups. This confirms the nonplanar geometry of this state suggested previously, and thus provides additional insight into the vibronic couplings in the intermediate states.
Surface enrichment effect on the morphological transitions induced by directional quenching for binary mixtures
Authors: Liu Bo , Zhang Hongdong , Yang Yuliang
Published: July 2002

The morphological transitions during directional quenching-induced spinodal decomposition in binary mixtures are investigated by computer simulation. By setting the quenching front between the stable and unstable phases, and shifting the front with a constant velocity, the evolution of the domain morphologies is examined numerically on the basis of the time-dependent Ginzburg–Landau (TDGL) equation. Three different types of morphologies are found for the critical quenching. One is irregular morphology (IM), which is essentially equivalent to that produced by homogeneous quenching. The other two are regular, representing the characteristics of the directional quenching process. One is regular lamellar morphology (RLM) and the other is regular column morphology (RCM). By varying the shifting velocity of the cooling front, two morphological transition velocities, va from IM to RLM, and vi from RLM to RCM, are observed. In contrast to that, for the case of off-critical quenching, a new transition velocity vb from RCM back to RLM can be found if the cooling front is further shifted slower. This characteristic morphological transition is attributed to the surface enrichment effect appearing in the nonequal volume fraction system, which competes with linear instability triggered by initial thermal fluctuation in the early stage of spinodal decomposition. Detailed studies reveal that RLM can be easily formed and thus the region of RCM is reduced when the surface enrichment effect is stronger. On the other hand, RCM will be preferred if the initial thermal fluctuation is stronger. The quantitative relation between lamella width and shifting velocity of the cooling front is also presented.
Erratum: “Polarization around an ion in a dielectric continuum with truncated electrostatic interactions” [J. Chem. Phys. 110, 10679 (1999)]
Authors: Baker Nathan A. , Hünenberger Philippe H. , McCammon J. Andrew
Published: July 2002

An error was made in the derivation of Eq. (25) for the integrated electric field. The error is corrected and the modified results reported. In general, the various truncation schemes show improved agreement with the Born model for solvent polarization.
Calculating resonances (natural frequencies) and extracting them from transient fields
Authors: Ramm A. G.
Published: July 2002

Mathematical formulation and analysis of numerical methods for calculating the natural frequencies (resonances) are given. Stability of these methods towards roundoff errors and small perturbations of the obstacles is established. Some formulas for the variations of the natural frequencies due to small perturbations of the surface of the obstacle are given. A simple new method for extraction of resonances from transient fields is given.
Group-related coherent states
Authors: Amann Anton
Published: July 2002

Coherent states defined with respect to an irreducible ray representation u: g→ug, g∈G, of an arbitrary locally compact separable group G are examined. It is shown that the following conditions (a)–(d) are equivalent: (a) u admits coherent states, (b) u is square integrable, (c) the W*-system implemented by u is integrable, and (d) u is a subrepresentation of the left regular c-representation, where c is the respective multiplier of u. Furthermore, the group theoretical background of what is called the ‘‘P-representation of observables’’ associated with coherent states is investigated: It is shown that the P-representation (which corresponds to a covariant semispectral measure) fulfills a certain maximality requirement. The P-representation can be used to represent the quantum system in question on the Hilbert space L2(G,dg) of square-integrable functions (with respect to Haar measure dg) on the kinematical group G.
An alternate proof of ultraviolet stability of the two-dimensional massive sine–Gordon field theory in all regions of collapse
Authors: Renn J. , Steinmann A.
Published: July 2002

The upper bound for the ultraviolet stability of the two-dimensional cosine interaction ∫Λ:cos αφξ:dξ, Λ⊆R2, in finite volume Λ is proven for α2 ∈ [4π,8π[, where the theory has been shown to be superrenormalizable [see, e.g., G. Gallavotti, Rev. Mod. Phys. 57, 471 (1985)]. Ultraviolet stability in this interval was proven previously (F. Nicolò, J. Renn, and A.Steinmann, ‘‘On the massive sine–Gordon equation in all regions of collapse,’’ preprint II Università di Roma, 1985). Here we give a second proof using renormalization group methods based on a multiscale decomposition of the field by showing that the large fluctuations may be controlled by their small probability. The method essentially follows the one given by Nicolò [F. Nicolò, Commun. Math. Phys. 88, 681 (1983)] for α2 ∈ [4π, (32)/(5) π[.
Intrinsic nonlinear spinor wave equations associated with nonlinear spinor representations
Authors: Furlan P. , Ra̧czka R.
Published: July 2002

New covariant nonlinear spinor wave equations associated with nonlinear spinor representations of pseudo-orthogonal groups are derived. The wave equations obtained possess specific nonlinearities, which, in the intrinsic spinor coordinates, have the form of bilinear nonlinearities. Due to the existence of a large number of natural constraints, typical for nonlinear spinor representations, the number of independent spinor components in the present theory is considerably reduced.
Simple waves for equation of potential, nonstationary flow of compressible gas
Authors: Kalinowski M. W. , Grundland A.
Published: July 2002

Certain classes of the exact solution of the equation of nonstationary potential flow of a compressible gas are found. The method described by Kalinowski [M. W. Kalinowski, J. Math. Phys. 25, 2620 (1984); Lett. Math. Phys. 6, 17 (1983); 7, 479 (1983)] is applied. These considerations are carried out locally at an established point of space of a hodograph. Some algebraic properties of simple integral elements are analyzed, and certain exact classes of solutions are constructed. Finally a certain physical analysis of the achieved results is carried out.
Charged viscous fluids: Exact solutions
Authors: Papini G. , Weiss M.
Published: July 2002

Exact solutions of Einstein’s equations are given for some charged viscous fluids.
The 32 minimal general generator sets of 230 double space groups
Authors: Kim Shoon K.
Published: July 2002

The 32 minimal general generator sets (MGGS) for the three-dimensional double space groups are provided; each MGGS has a very limited number of parameters that describe the translational parts of the space groups belonging to a crystal class. The method of construction is based on the algebraic defining relations of the abstract generators of the point groups. The equivalence or inequivalence criteria for the space groups with respect to lattice transformations are established by introducing the definite set {U} of the unimodular matrices that leaves a lattice type L of each crystal class G. Based on the set {U}, it will be shown that mere shifts of the lattice origin are necessary and sufficient to determine the inequivalence of almost all the space groups belonging to a crystal class of high symmetry. It is simpler to construct MGGS of higher symmetry than those of lower symmetry; this contrasts with the existing methods, which are based on the solvability of the space groups.
Adapted slicings of space-times possessing simply transitive similarity groups
Authors: Jantzen Robert T. , Rosquist Kjell
Published: July 2002

The relationship between the hypersurface-homogeneous slicing of an exact power law metric space-time and slicings adapted to spatial self-similarities is discussed in a group theoretical setting.
The most degenerate representation matrix elements of finite rotations of SO(n−2, 2)
Authors: Syed Ansaruddin
Published: July 2002

Using a technique of Strom and Boyer [S. Strom, Ark. Fys. 33, 465 (1966) and C. P. Boyer, J. Math. Phys. 12, 1599 (1971)], the matrix elements of finite rotations of the group SO(n−2, 2) have been computed in the most degenerate principal series of continuous representations.
Structural analysis and elementary representations of SL(4, R) and GL(4, R) and their covering groups
Authors: Dobrev V. K. , Stoytchev O. Ts.
Published: July 2002

The structure of the groups SL(4,R) and GL(4,R) and their universal cover− ing groups SL(4,R) and GL(4,R), respectively, and Lie algebras sl(4,R) and gl(4,R), respectively, are studied. The parabolic subgroups and subalgebras are identified and the cuspidal parabolic subgroups singled out. The Iwasawa and Bruhat decompositions are given explicitly. All elementary representations (ER) of SL(4,R) are explicitly given in two equivalent realizations. Using the preceding detailed structural analysis the SL(4,R) constructions are used for the explicit realization of all ER of SL(4,R), GL(4,R), and GL(4,R). The results shall be applied (among other things) elsewhere for the construction of all irreducible representations of the above groups.