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Nonadiabatic Transition : Concepts, Basic Theories and Applications.
Nonadiabatic transition is a highly multidisciplinary concept and phenomenon, constituting a fundamental mechanism of state and phase changes in various dynamical processes of physics, chemistry and biology, such as molecular dynamics, energy relaxation, chemical reaction, and electron and proton tr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
2012.
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| Edición: | 2nd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface to the Second Edition; Preface to the First Edition; Contents; Chapter 1. Introduction: What is "Nonadiabatic Transition"?; Chapter 2. Multi-Disciplinarity; 2.1 Physics; 2.2 Chemistry; 2.3 Biology; 2.4 Economics; Chapter 3. Historical Survey of Theoretical Studies; 3.1 Landau-Zener-Stueckelberg Theory; 3.2 Rosen-Zener-Demkov Theory; 3.3 Nikitin's Exponential Model; 3.4 Nonadiabatic Transition Due to Coriolis Coupling and Dynamical State Representation; Chapter 4. Background Mathematics; 4.1 Wentzel-Kramers-Brillouin Semiclassical Theory; 4.2 Stokes Phenomenon.
- Chapter 5. Basic Two-State Theory for Time-Independent Processes5.1 Exact Solutions of the Linear Curve Crossing Problems; 5.1.1 Landau-Zener type; 5.1.2 Nonadiabatic tunneling type; 5.2 Complete Semiclassical Solutions of General Curve Crossing Problems; 5.2.1 Landau-Zener (LZ) type; 5.2.1.1 E EX (b2 0); 5.2.1.2 E EX (b2 0); 5.2.1.3 Numerical examples; 5.2.2 Nonadiabatic Tunneling (NT) Type; 5.2.2.1 E Et (b2 -1); 5.2.2.2 Et E Eb (b2 1); 5.2.2.3 E Eb (b2 1); 5.2.2.4 Complete reflection; 5.2.2.5 Numerical examples; 5.3 Non-Curve-Crossing Case; 5.3.1 Rosen-Zener-Demkov model.
- 5.3.2 Diabatically avoided crossing model5.4 Exponential Potential Model: Unification of the Landau-Zener and Rosen-Zener Models; 5.4.1 Model 1
- Exact Solution; 5.4.2 Model 2
- Exact Solution; 5.4.3 Model 3
- Semiclassical Solution; 5.5 Mathematical Implications; 5.5.1 Case (i); 5.5.2 Case (ii); 5.5.3 Case (iii); Chapter 6. Basic Two-State Theory for Time-Dependent Processes; 6.1 Exact Solution of Quadratic Potential Problem; 6.2 Semiclassical Solution in General Case; 6.2.1 Two-crossing case: ß 0; 6.2.2 Diabatically avoided crossing case: ß 0; 6.3 Other Exactly Solvable Models.
- (I) Case I: d = 0(ii) Case II: d = .1/2; (iii) Case III: d = 1/2; Chapter 7. Two-State Problems; 7.1 Diagrammatic Technique; 7.2 Inelastic Scattering; 7.3 Elastic Scattering with Resonances and Predissociation; 7.4 Perturbed Bound States; 7.5 Time-Dependent Periodic Crossing Problems; 7.6 Time-Dependent Nonlinear Equations Related to Bose-Einstein Condensate Problems; 7.7 Wave Packet Dynamics in a Linearly Chirped Laser Field; Chapter 8. Effects of Coupling to Phonons and Quantum Devices; 8.1 Effects of Coupling to Phonons; 8.2 Quantum Devices; Chapter 9. Multi-Channel Problems.
- 9.1 Exactly Solvable Models9.1.1 Time-independent case; 9.1.2 Time-dependent case; 9.2 Semiclassical Theory of Time-Independent Multi-Channel Problems; 9.2.1 General framework; 9.2.1.1 Case of no closed channel (m=0); 9.2.1.2 Case of m 0 at energies higher than the bottom of the highest adiabatic potential; 9.2.1.3 Case of m 0 at energies lower than the bottom of the highest adiabatic potential; 9.2.2 Numerical example; 9.3 Time-Dependent Problems; Chapter 10. Multi-Dimensional Problems; 10.1 Classification of Surface Crossing; 10.1.1 Crossing seam; 10.1.2 Conical intersection.