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The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations 2004 Edition
Contributor(s): Reichl, Linda (Author)

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 ISBN: 0387987886     ISBN-13: 9780387987880
Publisher: Springer
OUR PRICE: $52.24  

Binding Type: Hardcover - See All Available Formats & Editions
Published: May 2004
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Additional Information
BISAC Categories:
- Science | Chaotic Behavior In Systems
- Science | Physics - Quantum Theory
- Science | System Theory
Dewey: 003.857
LCCN: 2003062211
Series: Institute for Nonlinear Science
Physical Information: 1.4" H x 6.1" W x 9.3" L (2.35 lbs) 675 pages
Features: Bibliography, Illustrated, Index, Maps, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:
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.
 
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