Advances in Atomic and Molecular Physics
Academic Press
Published on 28. April 1972
406 pages
978-0-08-056467-8 (ISBN)
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Advances in Atomic and Molecular Physics
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D.R. Bates | Immanuel Estermann
Advances in Atomic and Molecular Physics: v. 7
Book
12/1971
Academic Press
€80.47
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Content
- Front Cover
- Advances in Atomic and Molecular Physics, Volume 7
- Copyright Page
- Contents
- List of Contributors
- Contents of Previous Volumes
- Chapter 1. Physics of the Hydrogen Maser
- I. Introduction
- II. Hydrogen Maser Techniques
- III. Dynamical Behavior of the Maser
- IV. Hyperfine Spectroscopy
- V. Interaction of Atomic Hydrogen with Radio Frequency Fields
- References
- Chapter 2. Molecular Wave Functions: Calculation and Use in Atomic and Molecular Processes
- I. Introduction and General Principles
- II. Computations of Wave Functions, Potential Surfaces, and Coupling Matrix Elements
- III. Some Results and Expectations for the Future
- IV. Atom-Atom Scattering
- V. Radiative Processes
- References
- Chapter 3. Localized Molecular Orbitals
- I. Introduction
- II. Density Matrix Formalism
- III. The Edmiston-Ruedenberg Localization Method
- IV. The Method of Boys and Foster
- V. Direct Localization Methods
- VI. Internal and External Localization Criteria
- VII. The Method of Magnasco and Perico
- VIII. The Method of Peters
- IX. Molecular Orbitals Determined from Localization Models
- X. Localized Orbitals in Expansion Methods
- XI. Concluding Remarks
- References
- Chapter 4. General Theory of Spin-Coupled Wave Functions for Atoms and Molecules
- I. Introduction
- II. Properties of the Exact Electronic Eigenfunction
- III. Construction of the Spin Functions
- IV. The Spin-Coupled Wave Functions
- V. Calculation of Matrix Elements of the Hamiltonian
- VI. The Orbital Equations
- VII. Symmetry Properties of the Spin-Coupled Wave Functions
- VIII. The Hund's Rule Coupling
- IX. The General Recoupling Problem and Bonding in Molecules
- X. Conclusions
- Note Added in Proof
- Appendix A. Proof of the Relations (59)-(62)
- Appendix B. Matrix Elements of Spin-Dependent Operators
- Appendix C. Proof That the Orbital Equations Are Invariant under H
- Appendix D. Proof That the Operators F(a) and F(B) Are Invariant under Unitary Transformations of the 4Ou and ?u Sets of Orbitals
- References
- Chapter 5. Diabatic States of Molecules-Quasistationary Electronic States
- I. Introduction
- II. Mathematical Preliminaries
- III. Molecular Ground States-The One-State Problem-The Stationary Adiabatic Representation
- IV. The Na + CI Two-State Problem-Covalent and Ionic States
- V. Charge Exchange in Helium-Single Configuration Diabatic States
- VI. Dissociative Recombination and Attachment-The Quasistationary State Represen tat ion
- VII. Slow Heavy-Particle Collision Theory-Extension of the Quasistationary Representation to Rydberg States
- VIII. Summary and Conclusion
- References
- Chapter 6. Selection Rules within Atomic Shells
- I. Introduction
- II. Groups
- III. Irreducible Representations
- IV. Generalized Triangular Conditions
- V. Generators
- VI. Conflicting Symmetries
- VII. Oriented Spins
- VIII. Special Cases
- IX. Conclusion
- References
- Chapter 7. Green's Function Technique in Atomic and Molecular Physics
- Introduction
- II. Many-Particle Green's Function and Physical Quantities
- III. Coupled System of Equations for Green's Functions (The Method of Functional Differentiation
- The Dyson Equation
- The Bethe-Salpeter Equation)
- IV. Scattering
- V. Nonperturbative Approximation Method
- VI. Perturbation Methods
- Appendix A
- Appendix B
- Appendix C
- References
- Chapter 8. A Review of Pseudo-Potentials with Emphasis on Their Application to Liquid Metals
- I. Introduction
- II. Underlying Ideas of the Pseudopotential
- III. Simplification of the Form Factor
- IV. Formulations of v ( q ) Useful for Liquid Metals
- V. Screening
- VI. Comments about the Various Pseudopotentials
- VII. Conclusions
- References
- AUTHOR INDEX
- SUBJECT INDEX
