Science

The Transition to Chaos

by Linda Reichl
Publisher: Springer Science & Business Media
Release Date: 2013-11-11
Genre: Science
Pages: 675 pages
ISBN 13: 1475743505
ISBN 10: 9781475743500
Format: PDF, ePUB, MOBI, Audiobooks, Kindle
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Synopsis : The Transition to Chaos written by Linda Reichl, published by Springer Science & Business Media which was released on 2013-11-11. Download The Transition to Chaos Books now! Available in PDF, EPUB, Mobi Format. Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. -- Based on courses given at the universities of Texas and California, this book treats an active field 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; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and 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; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.