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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 / edited by Sandro Graffi
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1589)

1st ed. 1994.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1994
本文言語 英語
大きさ VIII, 196 p : online resource
冊子体 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 / J. Bellissard ... [et al.] ; editor, S. Graffi ; : gw,: us
著者標目 Graffi, Sandro editor
SpringerLink (Online service)
件 名 LCSH:Mathematical analysis
LCSH:Geometry, Differential
LCSH:Spintronics
LCSH:Quantum physics
FREE:Analysis
FREE:Differential Geometry
FREE:Spintronics
FREE:Quantum Physics
一般注記 Non commutative methods in semiclassical analysis -- Equidistribution of periodic orbits: An overview of classical VS quantum results -- Action minimizing orbits in hamiltomian systems
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
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Springer eBooks 9783540487821
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分 類 LCC:QA299.6-433
DC23:515
書誌ID 4000109552
ISBN 9783540487821

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