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Item Details
| Title:
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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 |
| By: |
Sandro Graffi (Editor) |
| Format: |
Paperback |
| List price:
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£22.99 |
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We currently do not stock this item, please contact the publisher directly for
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| ISBN 10: |
3540584161 |
| ISBN 13: |
9783540584162 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
26 September, 1994 |
| Edition: |
1994 ed. |
| Series: |
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries v. 1589 |
| Pages: |
196 |
| Description: |
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. |
| 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 Schrodinger 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. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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