Atomic Collisions and Spectra

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(ϵ) 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