Items related to Variational Methods in Electron-Atom Scattering Theory
Synopsis
1. Quantum Mechanics of Electron-Atom Scattering.- 1.1. Structure of the Wave Function.- 1.2. Cross Sections.- 1.3. Close-Coupling Expansion.- 1.4. Polarization Potentials and Pseudostates.- 1.5. Continuum Bethe-Goldstone Equations.- 1.6. Generalizations of the Bethe-Goldstone Approximation.- 2. Variational Theory.- 2.1. Formalism for Multichannel Scattering.- 2.2. The Hulthén-Kohn Variational Principle and Variational Bounds.- 2.3. Anomalies in the Kohn Formalism.- 2.4. Anomaly-Free Methods.- 2.5. Variational R-Matrix Method.- 2.6. Hybrid Methods.- 2.7. The Schwinger Variational Principle.- 3. Resonances and Threshold Effects.- 3.1. Electron Scattering Resonances.- 3.2. Theory of Resonances.- 3.3. Scattering Near Thresholds.- 3.4. The Stabilization Method.- 3.5. Adiabatic Theory of Perturbed Target States.- 4. Computational Technique.- 4.1. Reduction to One- and Two-Electron Integrals.- 4.2. Vector Coupling and Angular Integrals.- 4.3. Radial Integrals.- 4.4. Structure of a Computer Program.- 5. Applications to One-Electron Atoms.- 5.1. Hydrogen: Elastic Scattering.- 5.2. Hydrogen: Inelastic Scattering.- 5.3. Alkali Metal Atoms.- 6. Applications to Other Atoms.- 6.1. Helium: Elastic Scattering.- 6.2. Helium: Inelastic Scattering.- 6.3. Carbon, Nitrogen, and Oxygen.- References.
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