Synopsis
1. The N Coupled-Channel Problem.- 1. Introduction.- 2. Coupled-Channel Equations.- 2.1. Preliminaries-Single-Channel Scattering.- 2.2. Many-Channel Scattering.- 3. Coupled-Equation Approaches.- 3.1. Effective Potential Method.- 3.2. Coupled-States Method.- 4. Uncoupled-Equation Approaches.- 4.1. Sudden Approximation.- 4.2. Distorted Wave Approximation.- References.- 2. Effective Hamiltonians in Molecular Collisions.- 1. Introduction.- 2. Conventional Treatment of Two Vibrating-Rotating Molecules.- 3. Effective Potential Method.- 4. Centrifugal Decoupling Hamiltonians.- 5. Partitioning Theory.- 6. Related Techniques with Effective Hamiltonians.- 6.1. Quantum Mechanical Impact Parameter Methods.- 6.2. Sudden Approximation.- 7. Applications and Conclusions.- 7.1. Applications to Atom-Molecule Scattering.- 7.2. Applications to Molecule-Molecule Scattering.- 7.3. Applications to Model Systems.- 7.4. Conclusion.- References.- 3. Optical Models in Molecular Collision Theory.- 1. Introduction.- 2. Physical Models of Optical Potentials.- 2.1. Flux Loss in Molecular Collisions.- 2.2. Partial Wave Analysis.- 2.3. Elastic, Absorptive, and Total Cross Sections.- 2.4. Computational Methods.- 2.5. Perturbation Expansions.- 2.6. Resonance Scattering and Time Delay.- 2.7. Stationary Phase Approximation to Scattering Amplitudes.- 2.8. Asymptotic Approximation to Phase Shifts.- 2.9. Simple Opacity Models: Orbiting, Absorptive Sphere, and Curve Crossing.- 2.10. Two Applications: Scattering of Alkali Atoms and of Metastable Noble Gas Atoms.- 3. Formal Theory of Optical Potentials.- 3.1. Definition of Effective Hamiltonians.- 3.2. Energy Dependence of Optical Potentials.- 3.3. Elastic, Absorptive, and Total Cross Sections.- 3.4. Two-Potential Scattering.- 3.5. Rearrangement Scattering.- 3.6. Perturbation Theory of Effective Hamiltonians.- 3.7. Example for Atom-Diatomic Collisions.- References.- 4. Vibrational Energy Transfer.- 1. Introduction.- 2. Basic Theory.- 2.1. Simple Collision Model.- 2.2. Classical Dynamical Approach.- 2.3. Semiclassical Method.- 2.4. Quantum Mechanical Calculation.- 2.5. Thermal Average Transition Probability.- 3. WKB Method.- 3.1. WKB Calculation of Transition Probabilities.- 3.2. Effects of Molecular Attraction.- 3.3. Role of High-Order Angular Momenta.- 4. Operator Solution of the Schrödinger Equation.- 5. Effects of Molecular Orientations on Vibrational Energy Transfer.- 6. Vibration-Rotation Energy Transfer.- 7. Vibration-Vibration Energy Transfer.- 8. Effects of the Multiplicity of Impacts on Vibration-Translation Energy Transfer.- 9. Concluding Remarks.- References.- 5. The Scattering of Atoms and Molecules from Solid Surfaces.- 1. Introduction.- 2. Elastic Scattering.- 2.1. Close Coupling Approach.- 2.2. Approximate Quantum Techniques.- 2.3. Classical and Semiclassical Studies.- 3. Gas-Solid Energy Transfer.- 3.1. CubeModels.- 3.2. Semiclassical Techniques.- 3.3. Quantum Theories.- 4. Reactive Scattering, Embedding.- References.- 6. Nonradiative Processes in Molecular Systems.- 1. Introduction.- 1.1. Outline and Definitions.- 1.2. Radiative and Nonradiative Transitions.- 1.3. Reversibility and Irreversibility.- 1.4. TheMolecule.- 2. Radiationless Phenomena.- 2.1. Electronic Relaxation.- 2.2. Vibrational Relaxation.- 2.3. Dissociation and Photochemical Reaction.- 2.4. Line Broadening.- 2.5. Anomalously Long Lifetimes.- 2.6. QuantumBeats.- 2.7. Resonance Scattering.- 3. Theoretical Methods and Models.- 3.1. Time-Dependent Perturbation Theory.- 3.2. The Configuration Interaction Method.- 3.3. Scattering Theory.- 3.4. ModelSystems.- 4. Physical Interpretation.- 4.1. Nature of the Spectroscopic States.- 4.2. Vibronic Coupling.- 4.3. Spin-Orbit Coupling.- 4.4. Vibrational Overlap.- 4.5. Concluding Remarks.- References.- Author Index.
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