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现代数学物理方法(第3卷)

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现代数学物理方法(第3卷)

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作 者:( )M. Reed ( )B. Simon

出 版 社:世界图书出版公司

出版时间:2003-06

I S B N:7506259338

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In the preparation of this volume we were fortunate to receive advice from C. Berning, P. Deift, V. Enss, G. Hagedorn, J. Holder, T. Ikebe, M. Klaus, S. Kuroda, J. Morgan III, S. Pinault, J. Rauch, S. Ruijsenaars, and L. Smith. We are grateful to these individuals and others whose comments made this book better.

内容简介

In the preparation of this volume we were fortunate to receive advice from C. Berning, P. Deift, V. Enss, G. Hagedorn, J. Holder, T. Ikebe, M. Klaus, S. Kuroda, J. Morgan III, S. Pinault, J. Rauch, S. Ruijsenaars, and L. Smith. We are grateful to these individuals and others whose comments made this book better.

  本书为英文版!

作者简介

目录

Preface
Introduction
Contents of Other Volumes
XI: SCATTERING THEORY
 1. An overview of scattering phenomena
 2. Classical particle scattering
 3. The basic principles of scattering in Hilbert space
  Appendix 1 Stationary phase methods
  Appendix 2 Trace ideal properties of f(x)g(-i)
  Appendix 3 A general invariance principle for wave operators
 4. Quantum scattering I: Two-body case
 5. Quantum scattering II: N-body case
 6. Quantum scattering III: Eigenfunction expansions
  Appendix Introduction to eigenfunction expansions by the auxiliary space method
 7. Quantum scattering IV: Dispersion relations
 8. Quantum scattering V: Central potentials
  A. Reduction of the S-matrix by symmetries
  B. The partial wave expansion and its convergence
  C. Phase shifts and their connection to the Schrodinger equation
  D. The variable phase equation
  E. Jost functions and Levinson's theorem
  F. Analyticity of the partial ware amplitude for generalized

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