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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1589)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
- Aubry-Mather sets
- Non commutative methods
- classical limit
- periodic orbits
- quantum chaos
- quantum mechanics
Bibliographic Information
Book Title: Transition to Chaos in Classical and Quantum Mechanics
Book Subtitle: 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
Authors: Jean Bellissard, Mirko Degli Esposti, Giovanni Forni, Sandro Graffi, Stefano Isola, John N. Mather
Editors: Sandro Graffi
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0074073
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1994
Softcover ISBN: 978-3-540-58416-2Published: 26 September 1994
eBook ISBN: 978-3-540-48782-1Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 196
Topics: Analysis, Differential Geometry, Spintronics, Quantum Physics