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, Italy, July 6-13, 1991
Graffi S. (Ed)
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.
الفئات:
عام:
1994
الناشر:
Springer
اللغة:
english
الصفحات:
199
ISBN 10:
3540584161
ISBN 13:
9783540584162
سلسلة الكتب:
Lecture Notes in Mathematics 1589
ملف:
DJVU, 1.64 MB
IPFS:
,
english, 1994
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