Home : Book details : Book description

Description of  The Transition to Chaos: Conservative Classical and Quantum Systems (Fundamental Theories of Physics, 200) Ed 3

3030635333 pdf 3030635333 pdf 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. Read more