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 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 < Ex (b2 < 0) A.1.3. Total scattering matrix A.2. Nonadiabatic Tunneling Type (see Fig. A.2) A.2.1. 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 People also search for (Ebook) Nonadiabatic transition concepts basic theories and applications 1st Edition: 3 basic principles of aba    concepts of transitions theory    nonadiabatic molecular dynamics    what are the concepts of transition theory    non stage theory examples Tags: Hiroki Nakamura, Nonadiabatic transition, applications, theories *Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment."> 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 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 < Ex (b2 < 0) A.1.3. Total scattering matrix A.2. Nonadiabatic Tunneling Type (see Fig. A.2) A.2.1. 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 People also search for (Ebook) Nonadiabatic transition concepts basic theories and applications 1st Edition: 3 basic principles of aba    concepts of transitions theory    nonadiabatic molecular dynamics    what are the concepts of transition theory    non stage theory examples Tags: Hiroki Nakamura, Nonadiabatic transition, applications, theories *Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment."> 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 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 < Ex (b2 < 0) A.1.3. Total scattering matrix A.2. Nonadiabatic Tunneling Type (see Fig. A.2) A.2.1. 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 People also search for (Ebook) Nonadiabatic transition concepts basic theories and applications 1st Edition: 3 basic principles of aba    concepts of transitions theory    nonadiabatic molecular dynamics    what are the concepts of transition theory    non stage theory examples Tags: Hiroki Nakamura, Nonadiabatic transition, applications, theories *Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment."> 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 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 < Ex (b2 < 0) A.1.3. Total scattering matrix A.2. Nonadiabatic Tunneling Type (see Fig. A.2) A.2.1. 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 People also search for (Ebook) Nonadiabatic transition concepts basic theories and applications 1st Edition: 3 basic principles of aba    concepts of transitions theory    nonadiabatic molecular dynamics    what are the concepts of transition theory    non stage theory examples Tags: Hiroki Nakamura, Nonadiabatic transition, applications, theories *Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment.">
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(Ebook) Nonadiabatic transition concepts basic theories and applications 1st Edition by Hiroki Nakamura ISBN 9789810247195 9810247192

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Authors:Hiroki Nakamura
Pages:389 pages.
Year:2002
Editon:1st
Publisher:World Scientific Publishing Company
Language:english
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(Ebook) Nonadiabatic transition concepts basic theories and applications 1st Edition by Hiroki Nakamura ISBN 9789810247195 9810247192

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ISBN 10: 9810247192
ISBN 13: 9789810247195
Author: Hiroki Nakamura

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.
 

(Ebook) Nonadiabatic transition concepts basic theories and applications 1st Edition Table of 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 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 < 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

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 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 < Ex (b2 < 0)

A.1.3. Total scattering matrix

A.2. Nonadiabatic Tunneling Type (see Fig. A.2)

A.2.1. 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

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