Nonadiabatic Transition: Concepts, Basic Theories and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2012
|
| Ausgabe: | 2nd ed |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 10.1.3 Renner-Teller effect Print version record |
| Beschreibung: | 1 online resource (515 pages) |
| ISBN: | 9789814329781 9814329789 |
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| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a (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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 chemica | |
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Science | |
| 650 | 7 | |a SCIENCE / Energy |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Mechanics / General |2 bisacsh | |
| 650 | 7 | |a SCIENCE / Physics / General |2 bisacsh | |
| 650 | 4 | |a Naturwissenschaft | |
| 650 | 4 | |a Charge exchange | |
| 650 | 4 | |a Phase transformations (Statistical physics) | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Nakamura, Hiroki |t Nonadiabatic Transition : Concepts, Basic Theories and Applications |
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Datensatz im Suchindex
| _version_ | 1804175390467424256 |
|---|---|
| any_adam_object | |
| author | Nakamura, Hiroki |
| author_facet | Nakamura, Hiroki |
| author_role | aut |
| author_sort | Nakamura, Hiroki |
| author_variant | h n hn |
| building | Verbundindex |
| bvnumber | BV043032855 |
| collection | ZDB-4-EBA |
| contents | 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 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 chemica |
| ctrlnum | (OCoLC)794328366 (DE-599)BVBBV043032855 |
| dewey-full | 530.474 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.474 |
| dewey-search | 530.474 |
| dewey-sort | 3530.474 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2nd ed |
| format | Electronic eBook |
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| id | DE-604.BV043032855 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:32Z |
| institution | BVB |
| isbn | 9789814329781 9814329789 |
| language | English |
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| publisher | World Scientific |
| record_format | marc |
| spelling | Nakamura, Hiroki Verfasser aut Nonadiabatic Transition Concepts, Basic Theories and Applications 2nd ed Singapore World Scientific 2012 1 online resource (515 pages) txt rdacontent c rdamedia cr rdacarrier 10.1.3 Renner-Teller effect Print version record 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 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 chemica Physics Science SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh Naturwissenschaft Charge exchange Phase transformations (Statistical physics) Nichtadiabatischer Prozess (DE-588)4799351-0 gnd rswk-swf Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Phasenumwandlung (DE-588)4132140-6 s Nichtadiabatischer Prozess (DE-588)4799351-0 s 1\p DE-604 Erscheint auch als Druck-Ausgabe Nakamura, Hiroki Nonadiabatic Transition : Concepts, Basic Theories and Applications http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=457165 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nakamura, Hiroki Nonadiabatic Transition Concepts, Basic Theories and Applications 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 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 chemica Physics Science SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh Naturwissenschaft Charge exchange Phase transformations (Statistical physics) Nichtadiabatischer Prozess (DE-588)4799351-0 gnd Phasenumwandlung (DE-588)4132140-6 gnd |
| subject_GND | (DE-588)4799351-0 (DE-588)4132140-6 |
| title | Nonadiabatic Transition Concepts, Basic Theories and Applications |
| title_auth | Nonadiabatic Transition Concepts, Basic Theories and Applications |
| title_exact_search | Nonadiabatic Transition Concepts, Basic Theories and Applications |
| title_full | Nonadiabatic Transition Concepts, Basic Theories and Applications |
| title_fullStr | Nonadiabatic Transition Concepts, Basic Theories and Applications |
| title_full_unstemmed | Nonadiabatic Transition Concepts, Basic Theories and Applications |
| title_short | Nonadiabatic Transition |
| title_sort | nonadiabatic transition concepts basic theories and applications |
| title_sub | Concepts, Basic Theories and Applications |
| topic | Physics Science SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh Naturwissenschaft Charge exchange Phase transformations (Statistical physics) Nichtadiabatischer Prozess (DE-588)4799351-0 gnd Phasenumwandlung (DE-588)4132140-6 gnd |
| topic_facet | Physics Science SCIENCE / Energy SCIENCE / Mechanics / General SCIENCE / Physics / General Naturwissenschaft Charge exchange Phase transformations (Statistical physics) Nichtadiabatischer Prozess Phasenumwandlung |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=457165 |
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