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 ... Mathematics / Fondazione C.I.M.E., Firenze) | 
 enlarge | Creators: J. Bellissard, M. Degli Esposti, G. Forni, Sandro Graffi, S. Isola, J.n. Mather
Publisher: Springer
Category: Book
List Price: $26.00
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Sales Rank: 2974701
Media: Paperback
Edition: 1
Pages: 192
Number Of Items: 1
Shipping Weight (lbs): 0.7
Dimensions (in): 9.2 x 6 x 0.7
ISBN: 3540584161
Dewey Decimal Number: 530.12
EAN: 9783540584162
Publication Date: October 27, 1994
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Product Description
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 Schroedinger 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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