Langbeschreibung
This monograph compares classical and quantum dynamics for unstable (chaotic) systems. Characteristic times for divergence of classical and quantum solutions are estimated, and examples of classical-quantum "crossover-times" are provided. The book can be recommended to graduate students and to specialists.
Inhaltsverzeichnis
Method of Coherent States.- The Exact C-Number Equation for Time-Dependent Expectation Values in Coherent States.- Quasiclassical Perturbation Theory for Time-Dependent Expectation Values with Quantum Nonlinear Hamiltonians.- The Characteristic Times of Violation of Quasiclassical Approximation for Integrable Boson and Spin Systems.- Time-Scale ?? for a Kicked Quantum Nonlinear Oscillator.- The Time of Applicability of the Quasiclassical Approach in a Boson System of Two Interacting Quantum Nonlinear Resonances.- Two Interacting Quantum Nonlinear Resonances in a Spin System.- Quantization of a Stochastic Web.- Characteristic Times for Chaotic Dynamics in Wigner Representation.- Quantum Chaos of Atoms in a Resonant Cavity.- Quantum Chaos of Atoms in a Resonant Cavity Driven by an External Resonant Field.- Violation of the Semiclassical Approximation and Quantum Chaos in a Paramagnetic Spin System.- Weak Quantum Chaos in a System of N Atoms in a Resonant Cavity Interacting with an External Resonant Field.- Quantum Dynamics in Stationary Coherent States (SCS).- Discussion.