Topics in Atomic Collision Theory

Topics in Atomic Collision Theory

1st Edition - January 1, 1969

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  • Author: Sydney Geltman
  • eBook ISBN: 9781483277028

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Topics in Atomic Collision Theory originated in a course of graduate lectures given at the University of Colorado and at University College in London. It is recommended for students in physics and related fields who are interested in the application of quantum scattering theory to low-energy atomic collision phenomena. No attention is given to the electromagnetic, nuclear, or elementary particle domains. The book is organized into three parts: static field scattering, electron-atom collisions, and atom-atom collisions. These are in the order of increasing physical complexity and hence necessarily in the order of decreasing mathematical tractability. The topics and methods selected were those which contributed most significantly to the understanding of the physics and the calculation of reliable cross sections. The attempt has been made to treat each of the sections in a complete and self-contained manner. The limited scope of this book has unfortunately made it necessary to omit discussion of many promising methods.

Table of Contents

  • Preface

    Part I. Static Field Scattering

    1. Classical Scattering and Quantum Formulation

    2. Partial Wave Analysis

    3. Scattering Matrix and Bound States

    4. Resonance Effects

    5a. Normalization of Continuum States

    5b. Coulomb Scattering

    6. Integral Equation Formulation

    7. Variational Methods for Phase Shifts

    8. Variational Methods for Scattering Amplitudes

    9. Bounding Principle for Scattering Length

    10. Nonspherical Potential Fields

    Part II. Electron-Atom Collisions

    11. Formulation of Many-Channel Problem

    12. Role of Pauli Principle

    13. Integral Expression for Scattering Amplitude

    14. Born, Bethe, and Oppenheimer Approximations

    15. Variational Methods

    16. Close Coupling Method

    17. Ionization

    18. Resonances and Compound Atom States

    19. Threshold Behavior of Cross Sections

    20. Anomalous Threshold Behaviors

    Part III. Atom-Atom Collisions

    21. General Kinematic Considerations

    22. Expansion in Molecular States

    23. Identical Nuclei and the Pauli Principle

    24. Impact Parameter Method and Perturbation Solutions

    25a. Unitarized Approximation

    25b. Variational Principle for Time-Dependent Case

    26. Coupled Equations for Proton-Hydrogen Collisions

    27. Crossing of Potential Energy Curves

    28. Adiabatic Symmetric Charge Transfer

    29. General Formulation for Rearrangement Collisions

    30. Charge Transfer in Fast Collisions


Product details

  • No. of pages: 264
  • Language: English
  • Copyright: © Academic Press 1969
  • Published: January 1, 1969
  • Imprint: Academic Press
  • eBook ISBN: 9781483277028

About the Author

Sydney Geltman

About the Editors

H. S. W. Massey

Keith A. Brueckner

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