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BL
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| Record Number
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958722
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b713092
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| Main Entry
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Nakamura, Hiroki.
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| Title & Author
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Nonadiabatic transition : : concepts, basic theories and applications /\ by Hiroki Nakamura.
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| Publication Statement
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River Edge, NJ :: World Scientific,, ©2002.
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| Page. NO
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1 online resource (xi, 376 pages) :: illustrations
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| ISBN
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9789810247195
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: 9789812778406
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: 9810247192
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: 9812778403
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9810247192
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| Bibliographies/Indexes
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Includes bibliographical references (pages 361-370) and index.
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| Contents
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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. 5.5. Mathematical implications -- ch. 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 -- ch. 8. Effects of dissipation and fluctuation -- 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 -- 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. Control of nonadiabatic transitions by periodically sweeping external field. 13.2. Basic theory. 13.3. Numerical examples. 13.4. Laser control of photodissociation with use of the complete reflection phenomenon -- ch. 14. Conclusions: future perspectives.
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| Abstract
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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. Thus, nonadiabatic transition represents one of the very basic mechanisms of the mutability of the world. This book has been written because the complete analytical solutions to the basic problem have recently been formulated by the author.
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| Subject
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Charge exchange.
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Phase transformations (Statistical physics)
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Échange de charge.
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Transitions de phase.
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Charge exchange.
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Phase transformations (Statistical physics)
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SCIENCE-- Energy.
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SCIENCE-- Mechanics-- General.
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SCIENCE-- Physics-- General.
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| Dewey Classification
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530.4/74
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| LC Classification
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QC173.N35 2002eb
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