Chaos et physique quantique Chaos and quantum physics
著者
書誌事項
Chaos et physique quantique = Chaos and quantum physics
North-Holland, 1991
- タイトル別名
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Chaos and quantum physics
大学図書館所蔵 全58件
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  京都
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注記
At head of title: UJFG, NATO ASI, Les Houches, session LII, 1-31 août 1989
Lectures delivered at Les Houches Summer School of Theoretical Physics
Includes bibliographies
内容説明・目次
内容説明
This volume presents the current state of knowledge and the emerging lines of research on the following question: "Can one identify in quantum systems "fingerprints" of the completely or partially chaotic behaviour of the underlying classical dynamics?" In the last decade the understanding of the relations between classical and quantum mechanics has advanced tremendously and the following broad themes are dealt with in this book:- # random matrices: a resurgence of an old theory brought in from nuclear physics, now the standard for analysing "signatures" of classical chaos in quantum systems; # the complex quantum behaviour of driven Hamiltonian systems and localization phenomena; # chaos in scattering systems and the properties of S -matrices; # spectra of quantum systems whose classical analogues are the geodesic flows on negatively curved compact manifolds; # the wealth of properties of wave functions for classically chaotic systems; # the rise and growth of the concept of chaos in all sectors of "physics of microscopic media": nuclear, atomic, molecular, solid-state physics.
目次
Preface. General introduction (N.L. Balazs). 1. Recent developments in classical mechanics (I.C. Percival). 2. Random matrix theories and chaotic dynamics (O. Bohigas). 3. The semi-classical quantization of chaotic Hamiltonian systems (M.C. Gutzwiller). 4. Some quantum-to-classical asymptotics (M. Berry). 5. Hyperbolic geometry in two dimensions and trace formulas (Y. Colin de Verdiere). 6. Quantum and classical properties of some billiards on the hyperbolic plane (C. Schmit). 7. The classical and quantum theory of chaotic scattering (U. Smilansky). 8. Time-dependent quantum systems (B.V. Chirikov). 9. Wavepacket dynamics and quantum chaology (E.J. Heller). 10. Chaos in atomic and molecular physics (D. Delande). 11. Random matrix theory applied to electrons in small metal particles (B. Muhlschlegel). Seminars: 1. Quantised maps (N.L. Balazs). 2. Quantum localization and fluctuations (G. Casati). 3. Statistical properties of quantum chaos (F.M. Izrailev). 4. Quantum localization of dynamical chaos (D.L. Shepelyansky).
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