Topics in Atomic Collision Theory
Published on 22. October 2013
264 pages
978-1-4832-7702-8 (ISBN)
Description
Topics in Atomic Collision Theory originated in a course of graduate lectures given at the University of Colorado and at University College in London. It is recommended for students in physics and related fields who are interested in the application of quantum scattering theory to low-energy atomic collision phenomena. No attention is given to the electromagnetic, nuclear, or elementary particle domains. The book is organized into three parts: static field scattering, electron-atom collisions, and atom-atom collisions. These are in the order of increasing physical complexity and hence necessarily in the order of decreasing mathematical tractability. The topics and methods selected were those which contributed most significantly to the understanding of the physics and the calculation of reliable cross sections. The attempt has been made to treat each of the sections in a complete and self-contained manner. The limited scope of this book has unfortunately made it necessary to omit discussion of many promising methods.
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Content
PrefacePart I. Static Field Scattering 1. Classical Scattering and Quantum Formulation 2. Partial Wave Analysis 3. Scattering Matrix and Bound States 4. Resonance Effects 5a. Normalization of Continuum States 5b. Coulomb Scattering 6. Integral Equation Formulation 7. Variational Methods for Phase Shifts 8. Variational Methods for Scattering Amplitudes 9. Bounding Principle for Scattering Length 10. Nonspherical Potential FieldsPart II. Electron-Atom Collisions 11. Formulation of Many-Channel Problem 12. Role of Pauli Principle 13. Integral Expression for Scattering Amplitude 14. Born, Bethe, and Oppenheimer Approximations 15. Variational Methods 16. Close Coupling Method 17. Ionization 18. Resonances and Compound Atom States 19. Threshold Behavior of Cross Sections 20. Anomalous Threshold BehaviorsPart III. Atom-Atom Collisions 21. General Kinematic Considerations 22. Expansion in Molecular States 23. Identical Nuclei and the Pauli Principle 24. Impact Parameter Method and Perturbation Solutions 25a. Unitarized Approximation 25b. Variational Principle for Time-Dependent Case 26. Coupled Equations for Proton-Hydrogen Collisions 27. Crossing of Potential Energy Curves 28. Adiabatic Symmetric Charge Transfer 29. General Formulation for Rearrangement Collisions 30. Charge Transfer in Fast CollisionsIndex
