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 transfer. Control of molecular processes by laser fields is also an example of time-dependent nonadiabatic transition. In this new edition, the original chapters are updated to facilitate enhanced understanding of the concept and applications. Three new chapters - comprehension of nonadiabatic chemical dynamics, control of chemical dynamics, and manifestation of molecular functions - are also added.

Description-Table Of Contents

ch. 1. Introduction: what is """"nonadiabatic transition""""? -- ch. 2. Multi-disciplinarity. 2.1. Physics. 2.2. Chemistry. 2.3. Biology. 2.4. Economics -- ch. 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 -- ch. 4. Background mathematics. 4.1. Wentzel-Kramers-Brillouin semiclassical theory. 4.2. Stokes phenomenon -- ch. 5. Basic two-state theory for time-independent processes. 5.1. Exact solutions of the linear curve crossing problems. 5.2. Complete semiclassical solutions of general curve crossing problems. 5.3. Non-curve-crossing case. 5.4. Exponential potential model: unification of the Landau-Zener and Rosen-Zener models. 5.5. Mathematical implications -- 6. Basic two-state theory for time-dependent processes. 6.1. Exact solution of quadratic potential problem. 6.2. Semiclassical solution in general case. 6.3. Other exactly solvable models -- ch. 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 -- ch. 8. Effects of coupling to phonons and quantum devices. 8.1. Effects of coupling to phonons. 8.2. Quantum devices -- ch. 9. Multi-channel problems. 9.1. Exactly solvable models. 9.2. Semiclassical theory of time-independent multi-channel problems. 9.3. Time-dependent problems -- ch. 10. Multi-dimensional problems. 10.1. Classification of surface crossing. 10.2. Reduction to one-dimensional multi-channel problem. 10.3. Semiclassical propagation method. 10.4. Nonadiabatic transition state theory -- ch. 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 -- ch. 12. New mechanism of molecular switching. 12.1. Basic idea. 12.2. One-dimensional model. 12.3. Two-dimensional model. 12.4. Numerical examples -- ch. 13. Control of nonadiabatic processes by an external field. 13.1. Floquet theorem and nonadiabatic transitions in a quasi-periodic field. 13.2. Control of nonadiabatic transitions by periodically sweeping external field. 13.3. Semiclassical guided optimal control theory. 13.4. Laser control of photodissociation with use of the complete reflection phenomenon -- ch. 14. Comprehension of nonadiabatic chemical dynamics. 14.1. Chemical reaction dynamics. 14.2. Photo-induced dynamics. 14.3. Electron transfer -- ch. 15. Control of chemical dynamics. 15.1. Efficient excitation/de-excitation by periodic chirping. 15.2. Control of wave packet motion and transition at conical intersection. 15.3. Selective photo-dissociation with use of the complete reflection phenomenon. 15.4. Control of [symbol]-electron rotation and its coupling to molecular vibration -- ch. 16. Manifestation of molecular functions. 16.1. Molecular switching. 16.2. Hydrogen transmission through carbon ring. 16.3. Photo-chromic conversion of cyclohexadiene to hexatriene. 16.4. Molecular motors -- ch. 17. Conclusions: future perspectives.