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. Lecture Notes in Mathematics, 1589

Graffi, S., Bellissard, J., Degli Esposti, M., Forni, G., Isola, S., Mather, J. N.

ISBN 10: 3540584161 / ISBN 13: 9783540584162

Published by Springer, 1994

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Bibliographic Details

Title: Transition to Chaos in Classical and Quantum...

Publisher: Springer

Publication Date: 1994

Binding: Soft cover

Condition: Good

About this title

Synopsis:

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.

Product Description:

Transition to Chaos in Classical and Quantum Mechanics Covers the areas preserving twist maps, and includes a version of the Aubry-Mather theory. This title describes the quantum aspects: classical limit, localization, spectral properties of the relevant Schrodinger operators and thus represent an exhaustive introduction to the mathematics of quantum chaos. Full description