Quasiclassical Methods

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...

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Bibliographic Details
Other Authors: Rauch, Jeffrey (Editor), Simon, Barry (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 1997, 1997
Edition:1st ed. 1997
Series:The IMA Volumes in Mathematics and its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Tutorial Overviews
  • h-pseudodifferential operators and applications: An introduction
  • Semi-classical methods with emphasis on coherent states
  • Workshop Research Papers
  • Approximative theories for large Coulomb systems
  • Semiclassical analysis for the Schrödinger operator with magnetic wells (after R. Montgomery, B. Helffer-A. Mohamed)
  • On the asymptotic distribution of eigenvalues in gaps
  • Asymptotics of the ground state energy of heavy molecules in the strong magnetic field
  • Local trace formulæ
  • A proof of the strong Scott conjecture
  • Lieb-Thirring inequalities for the Pauli operator in three dimensions
  • Exact anharmonic quantization condition (in one dimension)