| Description |
1 online resource (362 pages) |
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text file |
| Summary |
Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability properties and irreversibility and the "arrow of time". This monograph is devoted to a clear and precise, yet pedagogical account of the associated concepts and methods. |
| Contents |
Preface: A Description of Contents; Acknowledgments; Contents; 1. Introduction: A Summary of Mathematical and Physical Background for One-Particle Quantum Mechanics; 2. Spreading and Asymptotic Decay of Free Wave Packets: The Method of Stationary Phase and van der Corput's Approach; 3. The Relation Between Time-Like Decay and Spectral Properties; 3.1 Decay on the Average Sense; 3.1.1 Preliminaries: Wiener's, RAGE and Weyl theorems; 3.1.2 Models of exotic spectra, quantum KAM theorems and Howland's theorem. |
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4.3.3 Proof of Theorem4.75. Resonances and Quasi-exponential Decay; 5.1 Introduction; 5.2 The Model System; 5.3 Generalities on Laplace-Borel Transform and Asymptotic Expansions; 5.4 Decay for a Class of Model Systems After Costin and Huang: Gamow Vectors and Dispersive Part; 5.5 The Role of Gamow Vectors; 5.6 A First Example of Quantum Instability: Ionization; 5.7 Ionization: Study of a Simple Model; 5.8 A Second Example of Multiphoton Ionization: The Work of M. Huang; 5.9 The Reason for Enhanced Stability at Resonances: Connection with the Fermi Golden Rule. |
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6. Aspects of the Connection Between Quantum Mechanics and Classical Mechanics: Quantum Systems with Infinite Number of Degrees of Freedom6.1 Introduction; 6.2 Exponential Decay and Quantum Anosov Systems; 6.2.1 Generalities: Exponential decay in quantum and classical systems; 6.2.2 QuantumAnosov systems; 6.2.3 Examples of quantum Anosov systems and Weigert's configurational quantum cat map; 6.3 Approach to Equilibrium; 6.3.1 A brief introductory motivation; 6.3.2 Approach to equilibrium in classical (statistical) mechanics 1: Ergodicity, mixing and the Anosov property. The Gibbs entropy. |
| Bibliography |
Includes bibliographical references (pages 331-34) and index. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Asymptotic symmetry (Physics)
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Asymptotic symmetry (Physics) |
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Symmetry (Physics)
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Symmetry (Physics) |
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Quantum field theory.
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Quantum field theory. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Added Author |
Wreszinski, Walter F., 1946-
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| Other Form: |
Print version: 9789814383806 |
| ISBN |
9789814383813 |
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9814383813 |
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9814383805 |
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9789814383806 |
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9781283900027 |
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1283900025 |
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