Contents -- Preface -- 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 Processes -- 5.1. 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 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 model -- 5.4. Exponential Potential Model -- 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: B > 0 (see Fig. 6.1(a)) -- 6.2.2. Diabatically avoided crossing case: B < 0 (see Fig. 6.1(b)) -- 6.3. Other Exactly Solvable Models -- 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 -- Chapter 8 Effects of Dissipation and Fluctuation -- Chapter 9 Multi-Channel Problems -- 9.1. Exactly Solvable Models -- 9.1.1. 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 -- 10.1.3. Renner-Teller effect -- 10.2. Reduction to One-Dimensional Multi-Channel Problem -- 10.2.1. Linear Jahn-Teller problem -- 10.2.2. Collinear chemical reaction -- 10.2.3. Three-dimensional chemical reaction -- 10.3. Semiclassical Propagation Method -- Chapter 11 Complete Reflection and Bound States in the Continuum -- 11.1. One NT-Type Crossing Case -- 11.2. Diabatically Avoided Crossing (DAC) Case -- 11.3. Two NT-Type Crossings Case -- 11.3.1. At energies above the top of the barrier: (Eu, oo) -- 11.3.2. At energies between the barrier top and the higher crossing: (E+, EU) -- 11.3.3. At energies in between the two crossing regions: (E-, E+) -- 11.3.4. At energies below the crossing points: (- oo, E_ ) -- 11.3.5. Numerical examples -- Chapter 12 New Mechanism of Molecular Switching -- 12.1. Basic Idea -- 12.2. One-Dimensional Model -- 12.2.1. Transmission in a pure system -- 12.2.2. Transmission in a system with impurities -- 12.2.3. Molecular switching.

12.3. Two-Dimensional Model -- 12.3.1. Two-dimensional constriction model -- 12.3.2. Wave functions matching and transmission coefficient -- 12.4. Numerical Examples -- Chapter 13 Control of Nonadiabatic Processes by an External Field -- 13.1. Control of Nonadiabatic Transitions by Periodically Sweeping External Field -- 13.2. Basic Theory -- 13.2.1. Usage of the Landau-Zener-Stueckelberg type transition -- 13.2.2. Usage of the Rosen-Zener-Demkov type transition -- 13.2.3. General case -- 13.3. Numerical Examples -- 13.3.1. Spin tunneling by a magnetic field -- 13.3.2. Vibrational and tunneling transitions by laser -- 13.3.2.1. Landau-Zener-Stueckelberg type transition -- 13.3.2.2. Rosen-Zener-Demkov type transition -- 13.3.2.3. General case -- 13.4. Laser Control of Photodissociation with Use of the Complete Reflection Phenomenon -- Chapter 14 Conclusions: Future Perspectives -- Appendix A Final Recommended Formulas for General Time-Independent Two-Channel Problem -- A.l. Landau-Zener Type -- A.l.l. E> Ex (crossing energy) (b2 > 0) -- A.1.2. E Eb -- A.2.2. Eb>E>Et -- A.2.3. E < Et -- Appendix B Time-Dependent Version of the Zhu-Nakamura Theory -- Bibliography -- Index.