Crossover-Time in Quantum Boson and Spin Systems
Published on 26. July 1994
Book
Hardback
XI, 268 pages
978-3-540-58011-9 (ISBN)
Description
The authors compare classical and quantum dynamics in the quasiclassical region of parameters and under the condition of unstable (chaotic) classical behavior. They estimate the characteristic time-scale at which classical and quantum solutions start to differ significantly. The method is based on exact equations for time-dependent expectation values in boson and spin coherent states, and applies to rather general Hamiltonians with many degrees of freedom. The authors develop a consistent dynamical theory for quantum nonintegrable Hamiltonians and provide explicit examples of classical-quantum "crossover-time", a very common and fundamental phenomenon in quantum nonintegrable systems. This book can be recommended to graduate students and to specialists.
Reviews / Votes
"...an attractive introduction to some of the key mathematical and physical concepts of importance to an understanding of such systems and to the general area of quantum chaos. As such it deserves a much wider audience than its title might at first glance suggest." Contemporary PhysicsMore details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Illustrations
5 s/w Abbildungen
5 black & white illustrations, biography
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
470 gr
ISBN-13
978-3-540-58011-9 (9783540580119)
DOI
10.1007/978-3-540-48415-8
Schweitzer Classification
Other editions
Additional editions
Gennady P. Berman | Evgeny N. Bulgakov | Darryl D. Holm
Crossover-Time in Quantum Boson and Spin Systems
Book
11/2013
Springer
€53.49
Shipment within 7-9 days
Content
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.