Scattering Theory of Classical and Quantum N-Particle Systems

  • Jan Dereziński
  • Christian Gérard

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Jan Dereziński, Christian Gérard
    Pages 1-4
  3. Jan Dereziński, Christian Gérard
    Pages 5-56
  4. Jan Dereziński, Christian Gérard
    Pages 57-92
  5. Jan Dereziński, Christian Gérard
    Pages 93-133
  6. Jan Dereziński, Christian Gérard
    Pages 135-213
  7. Jan Dereziński, Christian Gérard
    Pages 215-264
  8. Jan Dereziński, Christian Gérard
    Pages 265-351
  9. Back Matter
    Pages 353-444

About this book

Introduction

This monograph addresses researchers and students. It is a modern presentation of time-dependent methods for studying problems of scattering theory in the classical and quantum mechanics of N-particle systems. Particular attention is paid to long-range potentials. For a large class of interactions the existence of the asymptotic velocity and the asymptotic completeness of the wave operators is shown. The book is self-contained and explains in detail concepts that deepen the understanding. As a special feature of the book, the beautiful analogy between classical and quantum scattering theory (e.g., for N-body Hamiltonians) is presented with deep insight into the physical and mathematical problems.

Keywords

Potential mechanics quantum mechanics scattering theory

Authors and affiliations

  • Jan Dereziński
    • 1
  • Christian Gérard
    • 2
  1. 1.Department of Mathematical Methods in PhysicsWarsaw UniversityWarsawPoland
  2. 2.Centre de MathématiquesEcole PolytechniquePalaiseau CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03403-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08284-9
  • Online ISBN 978-3-662-03403-3
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site