Quantum versus chaos: questions emerging from mesoscopic cosmos
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
1997
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| Series: | Fundamental theories of physics
87 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 213 S. graph. Darst. |
| ISBN: | 0792345576 |
Staff View
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS PREFACE IX CHAPTER 1. GENESIS OF CHAOS AND BREAKDOWN
OF QUANTIZATION OF ADIABATIC INVARIANTS 1 1.1. INTRODUCTION 1 1.2.
COLLAPSE OF KAM TORI AND ONSET OF CHAOS 2 1.3. DIAGNOSTIC CHARACTERS OF
CHAOS 7 1.4. SUPPRESSION OF CHAOS IN QUANTUM DYNAMICS 9 1.5. BREAKDOWN
OF QUANTIZATION OF ADIABATIC INVARIANTS 11 REFERENCES 14 CHAPTER 2.
SEMICLASSICAL QUANTIZATION OF CHAOS: TRACE FORMULA 15 2.1. GREEN S
FUNCTION AND FEYNMAN S PATH INTEGRAL METHOD 15 2.2. QUANTIZATION OF
INTEGRAL SYSTEMS 17 2.3. QUANTIZATION OF CHAOS: TRACE FORMULA 19 2.4.
APPLICATION OF TRACE FORMULA TO AUTOCORRELATION FUNCTIONS 22 2.5.
SIGNIFICANCE AND LIMITATION OF TRACE FORMULA 29 REFERENCES 30 CHAPTER 3.
PSEUDO-CHAOS WITHOUT CLASSICAL COUNTERPART IN 1-DIMENSIONAL QUANTUM
TRANSPORT 31 3.1. INTRODUCTION 32 3.2. QUANTUM TRANSPORT IN SUPERLATTICE
AND PSEUDO-CHAOS 32 3.3. RESONANT TUNNELING IN DOUBLE-BARRIER STRUCTURE
AND PSEUDO-CHAOS 39 3.4. GENERAL REMARKS 43 REFERENCES 44 CHAPTER 4.
CHAOS AND QUANTUM TRANSPORT IN OPEN MAGNETIC BILLIARDS: FROM STADIUM TO
SINAI BILLIARDS 45 4.1. INTRODUCTION 46 4.2. MAGNETO-CONDUCTANCE IN
STADIUM BILLIARD: EXPERIMENTAL RESULTS 47 4.3. TRANSITION FROM CHAOS TO
TORI 50 4.4. QUANTUM-MECHANICAL AND SEMICLASSICAL THEORIES 54 4.5.
COMPARISON IN STADIUM BILLIARDS BETWEEN THEORY AND EXPERIMENT 59 4.6.
OPEN SINAI BILLIARD IN MAGNETIC FIELD: DISTRIBUTION OF LYAPUNOV
EXPONENTS AND GHOST ORBITS 66 4.7. COMPARISON IN SINAI BILLIARD BETWEEN
QUANTAL AND CLASSICAL THEORIES 70 4.8. SUMMARY 75 REFERENCES 76 CHAPTER
5. CHAOTIC SCATTERING ON HYPERBOLIC BILLIARDS: SUCCESS OF SEMICLASSICAL
THEORY 79 5.1. INTRODUCTION 79 5.2. EXACT QUANTUM THEORY 83 5.3.
SEMICLASSICAL THEORY 85 5.4. DISTRIBUTION OF COMPLEX RESONANCES 92 5.5.
EXPERIMENT ON ANTIDOT ARRAYS IN MAGNETIC FIELD 97 REFERENCES 100 CHAPTER
6. NONADIABATICITY-INDUCED QUANTUM CHAOS 102 6.1. AVOIDED LEVEL
CROSSINGS AND GAUGE STRUCTURE 102 6.2. NONADIABATIC TRANSITIONS AND
GAUGE STRUCTURE 107 6.3. FORCES INDUCED BY BORN-OPPENHEIMER
APPROXIMATION 117 6.4. NONADIABATICITY-INDUCED CHAOS 119 REFERENCES 125
CHAPTER 7. LEVEL DYNAMICS AND STATISTICAL MECHANICS 12 7 7.1. LEVEL
DYNAMICS: FROM BROWNIAN MOTION TO GENERALIZED CALOGERO-MOSER-SUTHERLAND
(GCM/GCS) SYSTEM 127 7.2. SOLITON TURBULENCE: A NEW INTERPRETATION OF
IRREGULAR SPECTRA 136 7.3. STATISTICAL MECHANICS OF GCM SYSTEM 142 7.4.
STATISTICAL MECHANICS OF GCS SYSTEM IN INTERMEDIATE REGIME 151 7.5.
EXTENSION TO CASE OF SEVERAL PARAMETERS 154 REFERENCES 160 CHAPTER 8.
TOWARDS TIME-DISCRETE QUANTUM MECHANICS 162 8.1. STABLE AND UNSTABLE
MANIFOLDS IN TIME-DISCRETE CLASSICAL DYNAMICS 162 8.2. BREAKDOWN OF
PERTURBATION THEORY 166 8.3. INTERNAL EQUATION AND STOKES PHENOMENON 168
8.4. ASYMPTOTIC EXPANSION BEYOND ALL ORDERS AND HOMOCLINIC STRUCTURES
175 8.5. TIME DISCRETIZATION AND QUANTUM DYNAMICS 181 8.6. TIME-DISCRETE
UNITARY QUANTUM DYNAMICS 183 8.7. TIME-DISCRETE NON-UNITARY QUANTUM
DYNAMICS 186 8.8. PROBLEMS TO BE EXAMINED 196 REFERENCES 197 CHAPTER 9.
CONCLUSIONS AND PROSPECTS 198 REFERENCES 207 INDEX 209
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| indexdate | 2024-07-09T18:12:35Z |
| institution | BVB |
| isbn | 0792345576 |
| language | English |
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| physical | X, 213 S. graph. Darst. |
| publishDate | 1997 |
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| series | Fundamental theories of physics |
| series2 | Fundamental theories of physics |
| spelling | Nakamura, Katsuhiro Verfasser aut Quantum versus chaos questions emerging from mesoscopic cosmos by Katsuhiro Nakamura Dordrecht [u.a.] Kluwer Acad. Publ. 1997 X, 213 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fundamental theories of physics 87 Quantentheorie Chaotic behavior in systems Mesoscopic phenomena (Physics) Quantum theory Quantenchaos (DE-588)4130849-9 gnd rswk-swf Quantenchaos (DE-588)4130849-9 s DE-604 Fundamental theories of physics 87 (DE-604)BV000012461 87 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007816278&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nakamura, Katsuhiro Quantum versus chaos questions emerging from mesoscopic cosmos Fundamental theories of physics Quantentheorie Chaotic behavior in systems Mesoscopic phenomena (Physics) Quantum theory Quantenchaos (DE-588)4130849-9 gnd |
| subject_GND | (DE-588)4130849-9 |
| title | Quantum versus chaos questions emerging from mesoscopic cosmos |
| title_auth | Quantum versus chaos questions emerging from mesoscopic cosmos |
| title_exact_search | Quantum versus chaos questions emerging from mesoscopic cosmos |
| title_full | Quantum versus chaos questions emerging from mesoscopic cosmos by Katsuhiro Nakamura |
| title_fullStr | Quantum versus chaos questions emerging from mesoscopic cosmos by Katsuhiro Nakamura |
| title_full_unstemmed | Quantum versus chaos questions emerging from mesoscopic cosmos by Katsuhiro Nakamura |
| title_short | Quantum versus chaos |
| title_sort | quantum versus chaos questions emerging from mesoscopic cosmos |
| title_sub | questions emerging from mesoscopic cosmos |
| topic | Quantentheorie Chaotic behavior in systems Mesoscopic phenomena (Physics) Quantum theory Quantenchaos (DE-588)4130849-9 gnd |
| topic_facet | Quantentheorie Chaotic behavior in systems Mesoscopic phenomena (Physics) Quantum theory Quantenchaos |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007816278&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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