Potential Scattering in Atomic Physics

  • P. G. Burke

Table of contents

  1. Front Matter
    Pages i-vii
  2. P. G. Burke
    Pages 1-3
  3. P. G. Burke
    Pages 11-16
  4. P. G. Burke
    Pages 17-22
  5. P. G. Burke
    Pages 23-37
  6. P. G. Burke
    Pages 39-54
  7. P. G. Burke
    Pages 55-73
  8. P. G. Burke
    Pages 117-126
  9. Back Matter
    Pages 127-138

About this book

Introduction

This monograph was written while the author was a visitor at the Center for Theoretical Studies at the University of Miami, Coral Gables, Florida. The author wishes to thank Professor Behram Kursunoglu for the warm hospitality extended to him at the Center and to acknowledge the many interesting and fruitful discussions which he had with other visitors and with members of staff at the Center. Philip G. Burke v Contents 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Scattering by a Short-Range Potential. . . . . . . . . . . . . . . 5 3. Scattering by a Coulomb Potential. . . . . . . . . . . . . . . . . . 11 4. Scattering by a Spin-Orbit Potential . . . . . . . . . . . . . . " 17 5. Scattering by One-Electron Atoms. . . . . . . . . . . . . . . . . . 23 6. Low-Energy Effective-Range Theory. . . . . . . . . . . . . . . . 39 7. Bound States and Resonances. . . . . . . . . . . . . . . . . . . . . . 55 8. Variational Methods and Bound Principles. . . . . . . . . . 75 9. Integral Equation Methods and the Born Approximation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 10. Semiclassical and Eikonal Methods . . . . . . . . . . . . . . . . . 117 Appendix. The Coupling of Angular Momenta . . . . . . . . . . . 127 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 vii 1 Introduction In this monograph we study the scattering of a particle by a potential field with particular reference to elastic electron scat­ tering by a neutral atom or by an ion. This subject is clearly of interest in its own right as a branch of quantum mechanical scattering theory. However, it also serves as an introduction to many of the basic theoretical concepts which are used in inelastic electron scattering and ionization. Consequently this mono­ graph can be viewed as an introduction to texts where these subjects are treated.

Keywords

atom atomic physics atoms electron energy physics scattering scattering theory

Authors and affiliations

  • P. G. Burke
    • 1
  1. 1.The Queen’s UniversityBelfastNorthern Ireland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-4112-3
  • Copyright Information Springer-Verlag US 1977
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-4114-7
  • Online ISBN 978-1-4613-4112-3
  • About this book