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Quasiclassical Methods

  • Jeffrey Rauch
  • Barry Simon

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 95)

Table of contents

About this book

Introduction

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.

Keywords

Eigenvalue calculus differential operator distribution energy molecule operator pseudodifferential operator quantization schrödinger operator

Editors and affiliations

  • Jeffrey Rauch
    • 1
  • Barry Simon
    • 2
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1940-8
  • Copyright Information Springer-Verlag New York, Inc. 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7349-3
  • Online ISBN 978-1-4612-1940-8
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site
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