Transition to Chaos in Classical and Quantum Mechanics
Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 6 - 13, 1991
(Sprache: Englisch)
The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics.The lectures of Mather and Forni thoroughly cover the area- preserving...
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Klappentext zu „Transition to Chaos in Classical and Quantum Mechanics “
The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics.The lectures of Mather and Forni thoroughly cover the area- preserving twist maps, and include an up-to-date version of the Aubry-Mather theory.The lectures of Bellissard describe the quantum aspects: classical limit, localization, spectral properties of the relevant Schrödinger operators and thus represent an exhaus- tive introduction to the mathematics of "quantum chaos". The lectures of Degli Esposti et al. reviews equidistribu- tion of unstable periodic orbits and classical limit of quantized toral symplectomorphisms.
Inhaltsverzeichnis zu „Transition to Chaos in Classical and Quantum Mechanics “
- Non commutative methods in semiclassical analysis- Equidistribution of periodic orbits: An overview of classical VS quantum results
- Action minimizing orbits in hamiltomian systems
Bibliographische Angaben
- Autoren: J. Bellissard , M. Degli Esposti , G. Forni
- 1994, 204 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Herausgegeben: Sandro Graffi
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540584161
- ISBN-13: 9783540584162
- Erscheinungsdatum: 26.09.1994
Sprache:
Englisch
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