The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2004
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Institute for Nonlinear Science
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book provides a thorough and comprehensive discussion of classical and quantum chaos theory for bounded systems and for scattering processes. Specific discussions include: • Noether’s theorem, integrability, KAM theory, and a definition of chaotic behavior. • Area-preserving maps, quantum billiards, semiclassical quantization, chaotic scattering, scaling in classical and quantum dynamics, dynamic localization, dynamic tunneling, effects of chaos in periodically driven systems and stochastic systems. • Random matrix theory and supersymmetry. The book is divided into several parts. Chapters 2 through 4 deal with the dynamics of nonlinear conservative classical systems. Chapter 5 and several appendices give a thorough grounding in random matrix theory and supersymmetry techniques. Chapters 6 and 7 discuss the manifestations of chaos in bounded quantum systems and open quantum systems respectively. Chapter 8 focuses on the semiclassical description of quantum systems with underlying classical chaos, and Chapter 9 discusses the quantum mechanics of systems driven by time-periodic forces. Chapter 10 reviews some recent work on the stochastic manifestations of chaos. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature. End of chapter problems help students clarify their understanding. In this new edition, the presentation has been brought up to date throughout, and a new chapter on open quantum systems has been added. About the author: Linda E. Reichl, Ph.D., is a Professor of Physics at the University of Texas at Austin and has served as Acting Director of the Ilya Prigogine Center for Statistical Mechanics and Complex Systems since 1974. She is a Fellow of the American Physical Society and currently is U.S. Editor of the journal Chaos, Solitons, and Fractals |
| Beschreibung: | 1 Online-Ressource (XVIII, 675 p) |
| ISBN: | 9781475743500 9781441931634 |
| ISSN: | 1431-4673 |
| DOI: | 10.1007/978-1-4757-4350-0 |
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Datensatz im Suchindex
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| spelling | Reichl, Linda E. Verfasser aut The Transition to Chaos Conservative Classical Systems and Quantum Manifestations by Linda E. Reichl Second Edition New York, NY Springer New York 2004 1 Online-Ressource (XVIII, 675 p) txt rdacontent c rdamedia cr rdacarrier Institute for Nonlinear Science 1431-4673 This book provides a thorough and comprehensive discussion of classical and quantum chaos theory for bounded systems and for scattering processes. Specific discussions include: • Noether’s theorem, integrability, KAM theory, and a definition of chaotic behavior. • Area-preserving maps, quantum billiards, semiclassical quantization, chaotic scattering, scaling in classical and quantum dynamics, dynamic localization, dynamic tunneling, effects of chaos in periodically driven systems and stochastic systems. • Random matrix theory and supersymmetry. The book is divided into several parts. Chapters 2 through 4 deal with the dynamics of nonlinear conservative classical systems. Chapter 5 and several appendices give a thorough grounding in random matrix theory and supersymmetry techniques. Chapters 6 and 7 discuss the manifestations of chaos in bounded quantum systems and open quantum systems respectively. Chapter 8 focuses on the semiclassical description of quantum systems with underlying classical chaos, and Chapter 9 discusses the quantum mechanics of systems driven by time-periodic forces. Chapter 10 reviews some recent work on the stochastic manifestations of chaos. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature. End of chapter problems help students clarify their understanding. In this new edition, the presentation has been brought up to date throughout, and a new chapter on open quantum systems has been added. About the author: Linda E. Reichl, Ph.D., is a Professor of Physics at the University of Texas at Austin and has served as Acting Director of the Ilya Prigogine Center for Statistical Mechanics and Complex Systems since 1974. She is a Fellow of the American Physical Society and currently is U.S. Editor of the journal Chaos, Solitons, and Fractals Physics Statistical Physics, Dynamical Systems and Complexity Chaostheorie (DE-588)4009754-7 gnd rswk-swf Quantenchaos (DE-588)4130849-9 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 s Quantenchaos (DE-588)4130849-9 s 1\p DE-604 Chaostheorie (DE-588)4009754-7 s 2\p DE-604 https://doi.org/10.1007/978-1-4757-4350-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Reichl, Linda E. The Transition to Chaos Conservative Classical Systems and Quantum Manifestations Physics Statistical Physics, Dynamical Systems and Complexity Chaostheorie (DE-588)4009754-7 gnd Quantenchaos (DE-588)4130849-9 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| subject_GND | (DE-588)4009754-7 (DE-588)4130849-9 (DE-588)4126142-2 |
| title | The Transition to Chaos Conservative Classical Systems and Quantum Manifestations |
| title_auth | The Transition to Chaos Conservative Classical Systems and Quantum Manifestations |
| title_exact_search | The Transition to Chaos Conservative Classical Systems and Quantum Manifestations |
| title_full | The Transition to Chaos Conservative Classical Systems and Quantum Manifestations by Linda E. Reichl |
| title_fullStr | The Transition to Chaos Conservative Classical Systems and Quantum Manifestations by Linda E. Reichl |
| title_full_unstemmed | The Transition to Chaos Conservative Classical Systems and Quantum Manifestations by Linda E. Reichl |
| title_short | The Transition to Chaos |
| title_sort | the transition to chaos conservative classical systems and quantum manifestations |
| title_sub | Conservative Classical Systems and Quantum Manifestations |
| topic | Physics Statistical Physics, Dynamical Systems and Complexity Chaostheorie (DE-588)4009754-7 gnd Quantenchaos (DE-588)4130849-9 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| topic_facet | Physics Statistical Physics, Dynamical Systems and Complexity Chaostheorie Quantenchaos Nichtlineares dynamisches System |
| url | https://doi.org/10.1007/978-1-4757-4350-0 |
| work_keys_str_mv | AT reichllindae thetransitiontochaosconservativeclassicalsystemsandquantummanifestations |