The Transition to Chaos

Conservative Classical Systems and Quantum Manifestations

Linda E. Reichl - Collection Institute of Nonlinear Science

675 pages, parution le 29/06/2004 (2^eme édition)

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Résumé

Based on courses given at the universities of Texas in Austin, and California in San Diego, this book treats an active fields of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena.

The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; it continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and it concludes by showing how to apply the ideas to stochastic systems.

The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature. Problems at the ends of chapters help students clarify their understanding. In this new edition, the presentation will be brought up to date throughout, and a new chapter on open quantum systems will be added.

Written for:
Graduate students, physicists, mathematicians

Sommaire

Overview
Fundamental Concepts
Area Preserving Maps
Global Properties
Random Matrix Theory
Bounded Quantum Systems
Manifestations of Chaos in Quantum Scattering Processes
Semi-Classical Theory -- Path Integrals
Time-Periodic Systems
Stochastic Manifestations of Chaos / Appendices

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Linda E. Reichl
Collection	Institute of Nonlinear Science
Parution	29/06/2004
Édition	2^eme édition
Nb. de pages	675
Format	16 x 24
Couverture	Relié
Poids	1085g
Intérieur	Noir et Blanc
EAN13	9780387987880
ISBN13	978-0-387-98788-0