Atomic Collisions and Spectra

Atomic Collisions and Spectra

1st Edition - January 1, 1986

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  • Author: U Fano
  • eBook ISBN: 9780323151115

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Atomic Collisions and Spectra provides an overview of the state of knowledge on atomic collision physics. The book grew out of lecture notes for a succession of courses at the University of Chicago in 1967-1979, which reported the new material as it was taking a definite form. It has been enriched since 1980, as the subject matured and continued to expand. The book is organized into four parts. Part A deals briefly with rather elementary items of general information. Part B then takes up in considerable detail those aspects of single-electron scattering whose mastery is essential for treating multielectron processes. Part C deals with multielectron processes with a residual—if often realistic—restriction, namely, that the multielectron interactions remain confined within a core region from which only a single electron escapes into alternative channels of a long-range field. Part D surveys studies of double (or multiple) escape of electrons from a core. The book is intended for multiple use as a graduate school text, a tool for independent study, or a reference for particular topics.

Table of Contents

  • Preface

    1 Introduction

    1.1 Introduction

    1.2 Experimental Aspects

    1.3 Atomic Complex: Input and Exit Channels

    1.4 Symmetries

    1.5 A One-Dimensional Illustration

    1.6 Outline of Later Chapters



    Part A Perturbation Treatments

    2 Photoabsorption

    2.1 Introduction

    2.2 Basic Theory

    2.3 Macroscopic Analysis

    2.4 General Properties of the Spectrum

    2.5 Discrete Spectrum

    2.6 Partial Oscillator Strengths

    2.7 Specific Features



    3 Charged-Particle Collisions in the Born Approximation

    3.1 Introduction

    3.2 The Born Approximation

    3.3 Construction of the Wave Function

    3.4 Differential Cross Section

    3.5 Momentum Transfer and Form Factors

    3.6 Total Cross Section

    3.7 Remarks on the Born Approximation



    Part B Single-Channel Phenomena

    4 Elastic Scattering by a Short-Range Central Potential

    4.1 Introduction

    4.2 Partial Wave Expansion

    4.3 Scattering Wave Functions

    4.4 Time Delay

    4.5 Collision Parameters and Matrices

    4.6 Collision Cross Section

    4.7 Calculation of Phase Shifts: Example of a Spherical Well

    4.8 Phenomena at Near-Zero Energy

    4.9 Bound-State Levels

    4.10 Levinson's Theorem

    4.11 General Aspect of Threshold Behavior



    5 Influence of Long-Range Potentials

    5.1 Introduction

    5.2 Alternative Pairs of Base Functions

    5.3 Jost Functions

    5.4 Parameters of Short-Range Interactions

    5.5 Threshold Behavior: Resonances

    5.6 Negative Energies: Spectrum of Bound-State Levels

    5.7 Normalization of Wave Functions

    5.8 The Phase Parameter ß(ϵ) in (5.27)

    5.9 Spin-Orbit Coupling and Relativistic Effects

    5.10 Phase - Amplitude Treatments

    5.11 Identification of Irregular Wave Functions



    6 Calculation of the Phase Shifts

    6.1 Introduction

    6.2 Direct Integration

    6.3 Configuration Mixing

    6.4 R-Matrix Treatment

    6.5 Variational Approaches

    6.6 Close-Coupling Equations

    6.7 Reduction of Integrodifferential Equations to a Coupled Differential System

    6.8 Variational Principles for Scattering

    6.9 Polarization Field



    Part C Multichannel Phenomena

    7 Nonresonant Continua and Discrete Spectra

    7.1 Introduction

    7.2 Two Degenerate Channels: Spin Exchange in e + H Collisions

    7.3 Collision Parameters

    7.4 Electron-Fluorine Interaction at Low Energy

    7.5 Photoabsorption of H2

    7.6 Semiempirical Analysis of e + Ne+

    7.7 Spin Polarization of Photoelectrons

    7.8 Alternative Base Pairs in Multichannel Problems

    7.9 Cross Sections in the Laboratory Frame

    7.10 Angular Distribution of Collision Fragments



    8 Resonances and the Elimination of Channels

    8.1 Introduction

    8.2 Resonances in Elastic Scattering

    8.3 Resonances in the Two-Channel Photoabsorption of H2

    8.4 Multichannel Treatment

    8.5 Semiempirical Analysis of Multichannel Photoabsorption: Argon and Other Spectra

    8.6 Elimination of Open Channels

    8.7 Fragmentation Channels in External Fields



    9 Calculation of Interaction Parameters

    9.1 Introduction

    9.2 Alternative Parametrizations

    9.3 Methods of Calculation

    9.4 Illustrative Examples


    Part D Multielectron Excitations

    10 Doubly Excited He and H−

    10.1 Introduction

    10.2 Early Observations: Experimental and Theoretical

    10.3 Angular and Radial Correlations

    10.4 Analysis of the Schrödinger Equation

    10.5 Low Doubly Excited States

    10.6 High Excitations and Double Ionization

    10.7 Extension to More Than Two Electrons


    11 Excitations with a Structured Core

    11.1 Introduction

    11.2 Correlations within Valence Shells: Survey of Phenomena

    11.3 Excitations in the Valence Shell of Alkaline Earths

    11.4 Correlations in the He− Complex

    11.5 Channel Crossing in Open Valence Shells


    12 Conclusions and Previsions

    12.1 Discussion


    Glossary of Symbols


Product details

  • No. of pages: 420
  • Language: English
  • Copyright: © Academic Press 1986
  • Published: January 1, 1986
  • Imprint: Academic Press
  • eBook ISBN: 9780323151115

About the Author

U Fano

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