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Scattering Theory of Classical and Quantum N-Particle Systems

  • Book
  • © 1997

Overview

Authors:
  1. Jan Dereziński

    1. Department of Mathematical Methods in Physics, Warsaw University, Warsaw, Poland

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  2. Christian Gérard

    1. Centre de Mathématiques, Ecole Polytechnique, Palaiseau Cedex, France

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Jan Dereziński, Christian Gérard
    Pages 1-4

  3. Classical Time-Decaying Forces

    • Jan Dereziński, Christian Gérard
    Pages 5-56

  4. Classical 2-Body Hamiltonians

    • Jan Dereziński, Christian Gérard
    Pages 57-92

  5. Quantum Time-Decaying Hamiltonians

    • Jan Dereziński, Christian Gérard
    Pages 93-133

  6. Quantum 2-Body Hamiltonians

    • Jan Dereziński, Christian Gérard
    Pages 135-213

  7. Classical N-Body Hamiltonians

    • Jan Dereziński, Christian Gérard
    Pages 215-264

  8. Quantum N-Body Hamiltonians

    • Jan Dereziński, Christian Gérard
    Pages 265-351

  9. Back Matter

    Pages 353-444
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematical Methods in Physics, Warsaw University, Warsaw, Poland

    Jan Dereziński

  • Centre de Mathématiques, Ecole Polytechnique, Palaiseau Cedex, France

    Christian Gérard

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