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

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ISBN 10: 3540584161 / ISBN 13: 9783540584162

Verlag: Springer Berlin Heidelberg, 1994

Beschreibung

Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Bestandsnummer des Verkäufers 4429074/202

Bibliografische Details

• Titel: 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
• Verlag: Springer Berlin Heidelberg
• Erscheinungsjahr: 1994
• Sprache: Englisch
• ISBN-10: 3540584161
• ISBN-13: 9783540584162
• Einband: Softcover
• Zustand: Sehr gut
• Verkäuferkataloge:
  • Bücher

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Inhaltsangabe

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.