Editorial Reviews
Book Description
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.
Book Info
Provides a thorough and comprehensive discussion of classical and quantum chaos theory for bounded systems and for scattering processes. Includes appendices with much needed mathematical background. Previous edition not cited.
The Transition to Chaos: Conservative Classical Systems and Quantum Manifestations (Institute for Nonlinear Science),Linda E. Reichl,Springer,0387987886,Chaotic Behavior in Systems,Physics,Quantum Theory,Science,Science/Mathematics,Quantum physics (quantum mechanics),Science / Physics
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