Linda Reichl

(Author)

The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations (2004)Hardcover - 2004, 13 May 2004

The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations (2004)
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Part of Series
Institute for Nonlinear Science
Print Length
675 pages
Language
English
Publisher
Springer
Date Published
13 May 2004
ISBN-10
0387987886
ISBN-13
9780387987880

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.

Product Details

Author:
Linda Reichl
Book Edition:
2004
Book Format:
Hardcover
Country of Origin:
US
Date Published:
13 May 2004
Dimensions:
23.62 x 15.49 x 3.56 cm
ISBN-10:
0387987886
ISBN-13:
9780387987880
Language:
English
Location:
New York, NY
Pages:
675
Publisher:
Weight:
1065.94 gm

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