The Transition to Chaos
Conservative Classical and Quantum Systems
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Beschreibung
The classical and quantum dynamics of conservative systems governs the behavior of much of the world around us - from the dynamics of galaxies to the vibration and electronic behavior of molecules and the dynamics of systems formed from or driven by laser radiation. Most conservative dynamical systems contain some degree of chaotic behavior, ranging from a self-similar mixture of regular and chaotic motion, to fully developed chaos. This chaotic behavior has a profound effect on the dynamics.
This book combines mathematical rigor with examples that illuminate the dynamical theory of chaotic systems. The emphasis of the 3rd Edition is on topics of modern interest, including scattering systems formed from molecules and nanoscale quantum devices, quantum control and destabilization of systems driven by laser radiation, and thermalization of condensed matter systems. The book is written on a level accessible to graduate students and to the general research community.
The classical and quantum dynamics of conservative systems governs the behavior of much of the world around us - from the dynamics of galaxies to the vibration and electronic behavior of molecules and the dynamics of systems formed from or driven by laser radiation. Most conservative dynamical systems contain some degree of chaotic behavior, ranging from a self-similar mixture of regular and chaotic motion, to fully developed chaos. This chaotic behavior has a profound effect on the dynamics.
This book combines mathematical rigor with examples that illuminate the dynamical theory of chaotic systems. The emphasis of the 3rd Edition is on topics of modern interest, including scattering systems formed from molecules and nanoscale quantum devices, quantum control and destabilization of systems driven by laser radiation, and thermalization of condensed matter systems. The book is written on a level accessible to graduate students and to the general research community.
A thorough, comprehensive discussion of classical and quantum chaos theory with applications ranging from atomic dynamics to the structure of galaxies Specific discussions include mechanisms for the onset of classical and quantum chaos, KAM theory, classical and quantum scattering theory for chaotic systems, Arnol’d diffusion in classical and quantum systems, random matrix theory, thermalization of quantum systems, The dynamics of atomic and molecular systems in the presence of time-periodic radiation fields Text is self-contained and appendices help provide much of the needed background in mathematics
Autor*in
Linda Reichl
Themen in »The Transition to Chaos«
quantum chaos open quantum system path integral nonlinear resonance, classical and quantum transition to chaos signatures of chaos the Arnold web radiation induced chaos fractal phase space structure quantum chaotic system quantum billiards