Case Studies in Atomic Physics

Case Studies in Atomic Physics III focuses on case studies on atomic and molecular physics, including atomic collisions, transport properties of electrons, ions, molecules, and photons, interaction potentials, spectroscopy, and surface phenomena.
The selection first discusses detailed balancing in the time-dependent impact parameter method, as well as time-reversal in the impact parameter method and coupled state approximation. The text also examines the mechanisms of electron production in ion. Topics include measurement of doubly differential cross sections and electron spectra, direct Coulomb ionization, autoionization and Auger effect, charge transfer to continuum states, and electron promotion.
The book takes a look at the production of inner-shell vacancies in heavy ion-atom collisions and hyperfine and Zeeman studies of metastable atomic states by atomic-beam magnetic-resonance. Topics include molecular orbital model, experimental considerations, and theoretical considerations and interpretation of experimental results. The manuscript also evaluates the coupled integral-equation approach to nonrelativistic three-body systems with applications to atomic problems, including kinematic theory of three-body system, reduction of the coupled equations, and application to atomic problems.
The selection is a dependable reference for readers interested in atomic and molecular physics.

Contenu

Contents
Chapter 1. Detailed Balancing in the Time-Dependent Impact Parameter Method

1. Introduction
2. Time-Reversal in the Impact Parameter Method
   2.1. Time-Reversal with A Time-Independent Hamiltonian
   2.2. Time-Reversal with Prescribed Relative Motion
   2.3. Detailed Balance in the Impact Parameter Method
   2.4. Symmetry Under Reflection
   2.5. Moving Eigenfunctions
3. The Coupled State Approximation
   3.1. Expansion in Time-Independent Functions
   3.2. Microreversibility Relations Involving Identical Intervals
   3.3. Microreversibility Proof For Moving Expansion Functions
   Acknowledgment
   References
   Chapter 2. Mechanisms of Electron Production in Ion-Atom Collisions
4. Introduction
5. Measurement of Doubly Differential Cross Sections and Electron Spectra
6. Direct Coulomb Ionization
7. Autoionization and the Auger Effect
8. Electron Promotion
9. Charge Transfer to Continuum States
   References
   Chapter 3. The Production of Inner-Shell Vacancies in Heavy Ion-Atom Collisions
10. Introduction
11. The Molecular Orbital Model
    2.1. The Born-Oppenheimer Approximation
    2.2. Molecular Orbital Correlation Diagrams For Diabatic States
    2.3. Excitation Mechanisms
12. An Evaluation of The Experiments and the Data
    3.1. Differential Measurements of Single Atomic Collisions
    3.2. Spectroscopic Measurements and Total Emission Cross Sections
    3.3. The Relationship Between Total Cross Sections and Differential Measurements
13. Applications For Inner-Shell Excitations
    Acknowledgments
    References
    Chapter 4. Hyperfine and Zeeman Studies of Metastable Atomic States by Atomic-Beam Magnetic-Resonance
14. Introduction
15. Experimental Considerations
    2.1. General Principles
    2.2. Apparatus
    2.3. Experimental Procedure
16. Theoretical Considerations and Interpretation of Experimental Results
    3.1. Choice of Calculational Basis ; Derivation of Eigenvectors
    3.2. G Values For Atomic States
    3.3. Hamiltonian For The Hyperfîne Interaction
    3.4. Evaluation of Matrix Elements; Theoretical Expressions For Hyperfineinteraction Constants
    3.5. Off-Diagonal Hyperfine Structure and the Zeeman Effect
    3.6. Comparison of Theoretical and Experimental Hyperfine-Interaction Constants
17. Concluding Remarks
    4.1. General Comments
    4.2. Outlook For The Future
    References
    Chapter 5. Coupled Integral-Equation Approach to Nonrelativistic Three-Body Systems with Applications to Atomic Problems
18. Introduction
19. Kinematic Theory of Three-Body System
    2.1. Coordinates and Momentum Variables
    2.2. Three-Body Kinematic Description
    2.3. Lippmann-Schwinger Equation
    2.4. Description of Multichannel Collision
    2.5. Problems with Multichannel Lippmann-Schwinger Equations
20. Coupled Integral-Equation Formulation
    3.1. Green's-Function Approach
    3.2. Faddeev Equations
    3.3. Watson Equations
    3.4. Lovelace Equations
    3.5. Newton Equations
    3.6. Iterated Equations
    3.7. Further Variations On Coupled Equations
21. Reduction of The Coupled Equations
    4.1. On-Shell Reduction
    4.2. Partial Wave Decomposition
    4.3. Eigenfunction Expansion
    4.4. Multiple-Scattering Expansions
22. Three-Body Coulomb Systems
    5.1. Long-Range Coulomb Interaction
    5.2. Off-Shell Two-Body Coulomb Amplitude
    5.3. Mixed-Mode Reduction
    5.4. Screening Approximation
    5.5. Final-Channel Interaction
23. Methods of Approximation
    6.1. Matrix-Inversion Method
    6.2. Fredholm Reduction Method
    6.3. Double-Expansion Method
    6.4. Eikonal Approximation
24. Application to Atomic Problems
    7.1. Three-Body Bound States
    7.2. Three-Body Resonances
    7.3. Collision Amplitudes
    7.4. Differential and Total Cross Sections
    Acknowledgments
    References
    Author Index
    Subject Index