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.
Inhalt
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
Problems
References
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
Problems
References
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
Problems
References
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
Problems
References
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( ) in (5.27)
5.9 Spin-Orbit Coupling and Relativistic Effects
5.10 Phase - Amplitude Treatments
5.11 Identification of Irregular Wave Functions
Problems
References
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
Problems
References
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
Problems
References
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
Problems
References
9 Calculation of Interaction Parameters
9.1 Introduction
9.2 Alternative Parametrizations
9.3 Methods of Calculation
9.4 Illustrative Examples
References
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
References
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
References
12 Conclusions and Previsions
12.1 Discussion
References
Glossary of Symbols
Index