The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations - Couverture rigide

Reichl, Linda

 
9780387987880: The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations

Synopsis

Based on courses given at the universities of Texas in Austin, and California in San Diego, this book deals with the basic mechanisms that determine the dynamic evolution of classical and quantum systems. 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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Autres éditions populaires du même titre

9781441931634: The Transition to Chaos: Conservative Classical Systems And Quantum Manifestations

Edition présentée

ISBN 10 :  1441931635 ISBN 13 :  9781441931634
Editeur : Springer, 2013
Couverture souple