Overview

This volume contains a series of lectures 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, and spectral properties of the relevant Schrodinger operators, thus representing an exhaustive introduction to the mathematics of ""quantum chaos"". Other lectures review equidistribution of unstable periodic orbits and the classical limit of quantized total symplectomorphisms.

Full Product Details

Author:   Sandro Graffi ,  J. Bellissard ,  M. Degli Esposti ,  G. Forni
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1994 ed.
Volume:   1589
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.650kg
ISBN:  

9783540584162

ISBN 10:   3540584161
Pages:   196
Publication Date:   26 September 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Non commutative methods in semiclassical analysis.- Equidistribution of periodic orbits: An overview of classical VS quantum results.- Action minimizing orbits in hamiltomian systems.

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