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| Preface | ||
| 1 | What are the problems? | 1 |
| 1.2 | Adiabatic invariants in the history of quantum mechanics | 2 |
| 1.3 | Semiclassical quantization: Einstein, Brillouin and Keller versus Gutzwiller | 7 |
| 1.4 | Avoided level crossing and quantum adiabatic phase | 11 |
| 1.5 | Quantum dynamics: ergodicity, recurrence and cross-over time | 16 |
| 1.6 | Chaos versus extrinsic disorder: application to solid-state physics | 20 |
| 2 | Quantum billiards: from closed to open systems | 26 |
| 2.1 | Diamagnetism of a Fermi gas: revival of Van Leeuwen's thought | 26 |
| 2.2 | Classical dynamics in magnetic billiards | 29 |
| 2.3 | Avoided level crossings and diamagnetism | 34 |
| 2.4 | Open stadium billiards and quantum transport | 41 |
| 3 | Quantum chaos in spin systems | 56 |
| 3.1 | Quantum chaos in an antiferromagnetic spin cluster: introduction | 56 |
| 3.2 | Classical treatment | 59 |
| 3.3 | Quantum treatment: construction of matrix elements | 63 |
| 3.4 | Irregular energy spectra | 67 |
| 3.5 | New speculations | 73 |
| 3.6 | Quantum dynamics of a pulsed spin system: discrete map and classical result | 74 |
| 3.7 | Quantum-mechanical treatment | 78 |
| 3.8 | Quasi-eigenstates and fractals | 80 |
| 3.9 | Anomalous diffusion and multifractals | 84 |
| 4 | Nonlinear dynamics in spin-wave instabilities: chaos of macroscopic quanta | 92 |
| 4.1 | Historical problems | 92 |
| 4.2 | Experimental evidence of chaos in yttrium iron garnet (YIG) | 97 |
| 4.3 | Quantum theory of nonlinear spin-wave dynamics | 104 |
| 4.4 | Strange attractors and multifractals | 126 |
| 5 | Universal dynamical system behind quantum chaos: a single-parameter case | 134 |
| 5.1 | A remarkable bridging between quantum chaos and non-linear dynamics | 134 |
| 5.2 | Generalized Calogero-Moser system | 135 |
| 5.3 | Generalized Sutherland system | 140 |
| 5.4 | Solitons and moving avoided crossings | 146 |
| 5.5 | Statistical mechanics of generalized Calogero-Moser system | 149 |
| 5.6 | Soliton-gas picture for quantum irregular spectra | 169 |
| 6 | Nonadiabatic generalization, field-theoretical model and future prospects | 174 |
| 6.1 | Nonadiabatic transitions at avoided level crossings | 174 |
| 6.2 | Reduction to a field-theoretical model | 180 |
| 6.3 | Future prospects | 186 |
| References | 197 | |
| Index | 205 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
L C Lynch
reviewed Quantum Chaos: A New Paradigm of Nonlinear Dynamics on August 07, 2012
Quantum Chaos
Tamvakis' book is the most appropriate book for becoming really skillful in doing quantum mechanics. It mostly consists of highly mathematical exercises. It is clear from the start that there were carefully chosen. Make no mistake: anybody who works through this problems book will become masterful in solving highly mathematical Quantum Mechanics problems. The techniques that one must use to solve these are plentiful and very interesting. Although there are also other problems books on Quantum Mechanics, such as Galitski's, the problems here are of different nature, which means that this book fills in a gap in the literature.
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