Quasiclassical Methods
By: edited by Jeffrey Rauch, Barry Simon
Contributors: Simon, Barry
Series: The IMA Volumes in Mathematics and its Applications -- 95; IMA volumes in mathematics and its applications -- 95.
Publisher: Springer New York
Published: 1997
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 230
ISBN-13: 9781461273493; 9781461219408
Subjects: Mathematics; Global analysis (Mathematics)
Description: The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with h-pseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb- Thirring inequalities for the Pauli operator, and local trace formulae.
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Table of contents: title: Foreword; title: Preface; title: h-Pseudodifferential Operators and Applications: An Introduction; title: Semi-Classical Methods with Emphasis on Coherent States; title: Appromixative Theories for Large Coulomb Systems; title: Semiclassical Analysis for the Schroedinger Operator with Magnetic Wells; title: On the Asymptotic Distribution of Eigenvalues in Gaps; title: Local Trace Formulae; title: A Proof of the Strong Scott Conjecture; title: Lieb-Thirring Inequalities for the Pauli Operator in Three Dimensions; title: Exact Anharmonic Quantization Condition (in One Dimension).