Transition to Chaos in Classical and Quantum Mechanics

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Transition to Chaos in Classical and Quantum Mechanics
ISBN: 3540584161
标签: 科学工程

Sandro Graffi, Sandro Graffi, J. Bellissard, M. Degli Esposti, G. Forni, S. Isola, J.N. Mather, \"Transition to Chaos in Classical and Quantum Mechanics\"
Sp rin ger | 1994 | ISBN: 3540584161 | 192 pages | Djvu | 1,2 MB

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 Schr鰀inger 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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