Atomic Collisions and Spectra - 1st Edition - ISBN: 9780122484605, 9780323151115

Atomic Collisions and Spectra

1st Edition

Authors: U Fano
eBook ISBN: 9780323151115
Imprint: Academic Press
Published Date: 21st April 1986
Page Count: 420
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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


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



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© Academic Press 1986
Academic Press
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About the Author

U Fano

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