| View Larger Image | 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) | Paperbackby Sandro Graffi (Editor), Sandro Graffi (Editor), J. Bellissard (Editor), M. Degli Esposti (Editor), G. Forni (Editor), S. Isola (Editor), J.N. Mather (Editor)
| List Price: | $26.00 | | | Available: | Usually ships in 24 hours |
| | Binding: | Paperback | | Publisher: | Springer | | Edition: | 1st Edition | | Page Count: | 192 Pages | | Publication Date: | October 27, 1994 | | Sales Rank: | 3,017,441rd |
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EDITORIAL REVIEWS |
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 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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