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Scattering Theory of Waves and Particles

  • Book
  • © 1982

Overview

Authors:
  1. Roger G. Newton

    1. Department of Physics, Indiana University, Bloomington, USA

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

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xx
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  2. Scattering of Electromagnetic Waves

    1. Front Matter

      Pages 1-1
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    2. Formalism and General Results

      • Roger G. Newton
      Pages 3-29

    3. Spherically Symmetric Scatterers

      • Roger G. Newton
      Pages 30-53

    4. Limiting Cases and Approximations

      • Roger G. Newton
      Pages 54-97

    5. Miscellaneous

      • Roger G. Newton
      Pages 98-118

  3. Scattering of Classical Particles

    1. Front Matter

      Pages 119-119
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    2. Particle Scattering in Classical Mechanics

      • Roger G. Newton
      Pages 121-140

  4. Quantum Scattering Theory

    1. Front Matter

      Pages 141-141
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    2. Time-Dependent Formal Scattering Theory

      • Roger G. Newton
      Pages 143-174

    3. Time-Independent Formal Scattering Theory

      • Roger G. Newton
      Pages 175-210

    4. Cross Sections

      • Roger G. Newton
      Pages 211-227

    5. Formal Methods of Solution and Approximations

      • Roger G. Newton
      Pages 228-259

    6. Single-Channel Scattering (Three-Dimensional Analysis in Specific Representations)

      • Roger G. Newton
      Pages 260-297

    7. Single-Channel Scattering of Spin 0 Particles, I

      • Roger G. Newton
      Pages 298-330

    8. Single-Channel Scattering of Spin 0 Particles, II

      • Roger G. Newton
      Pages 331-401

    9. The Watson-Regge Method (Complex Angular Momentum)

      • Roger G. Newton
      Pages 402-416

    10. Examples

      • Roger G. Newton
      Pages 417-443

    11. Elastic Scattering of Particles with Spin

      • Roger G. Newton
      Pages 444-473

    12. Inelastic Scattering and Reactions (Multichannel Theory), I

      • Roger G. Newton
      Pages 474-513
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Keywords

About this book

Much progress has been made in scattering theory since the publication of the first edition of this book fifteen years ago, and it is time to update it. Needless to say, it was impossible to incorporate all areas of new develop­ ment. Since among the newer books on scattering theory there are three excellent volumes that treat the subject from a much more abstract mathe­ matical point of view (Lax and Phillips on electromagnetic scattering, Amrein, Jauch and Sinha, and Reed and Simon on quantum scattering), I have refrained from adding material concerning the abundant new mathe­ matical results on time-dependent formulations of scattering theory. The only exception is Dollard's beautiful "scattering into cones" method that connects the physically intuitive and mathematically clean wave-packet description to experimentally accessible scattering rates in a much more satisfactory manner than the older procedure. Areas that have been substantially augmented are the analysis of the three-dimensional Schrodinger equation for non central potentials (in Chapter 10), the general approach to multiparticle reaction theory (in Chapter 16), the specific treatment of three-particle scattering (in Chapter 17), and inverse scattering (in Chapter 20). The additions to Chapter 16 include an introduction to the two-Hilbert space approach, as well as a derivation of general scattering-rate formulas. Chapter 17 now contains a survey of various approaches to the solution of three-particle problems, as well as a discussion of the Efimov effect.

Authors and Affiliations

  • Department of Physics, Indiana University, Bloomington, USA

    Roger G. Newton

Bibliographic Information

  • Book Title: Scattering Theory of Waves and Particles

  • Authors: Roger G. Newton

  • Series Title: Theoretical and Mathematical Physics

  • DOI: https://doi.org/10.1007/978-3-642-88128-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1982

  • Softcover ISBN: 978-3-642-88130-5Published: 18 April 2014

  • eBook ISBN: 978-3-642-88128-2Published: 27 November 2013

  • Series ISSN: 1864-5879

  • Series E-ISSN: 1864-5887

  • Edition Number: 2

  • Number of Pages: XX, 745

  • Additional Information: Originally published by McGraw Hill

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics

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