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

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 ver...

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Auteurs principaux: Bellissard, Jean, 19..- (Auteur), Forni, Giovanni, 1964-...., mathématicien (Auteur), Isola, Stefano, mathématicien (Auteur), Degli Esposti, Mirko (Auteur), Mather, John N., 1942-2017 (Auteur), Graffi, Sandro, 1943- (Directeur de la publication)
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1589
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Edition sous un autre format:• 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.], 1994, Berlin, Springer-Verlag, 1 volume (192 pages), Lecture notes in mathematics, 3-540-58416-1
• Transition to Chaos in Classical and Quantum Mechanics, Texte imprimé, 9783662164778
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Résumé: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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ISBN:9783540487821 (PDF)
ISSN:1617-9692
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