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Crossover-Time in Quantum Boson and Spin Systems / by Gennady P. Berman, Evgeny N. Bulgakov, Darryl D. Holm.

Lecture Notes in Physics 1969-2012 Archive Available online

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Format:
Book
Author/Creator:
Berman, Gennady P., 1946- author.
Bulgakov, Evgeny N., 1960- author.
Holm, Darryl D., author.
Series:
Lecture Notes in Physics Monographs ; 21
Language:
English
Subjects (All):
Quantum theory.
Spintronics.
Thermodynamics.
System theory.
Lasers.
Quantum optics.
Quantum Physics.
Complex Systems.
Laser.
Quantum Optics.
Local Subjects:
Quantum Physics.
Spintronics.
Thermodynamics.
Complex Systems.
Laser.
Quantum Optics.
Physical Description:
1 online resource (XI, 268 p. 5 illus.)
Edition:
1st ed. 1994.
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.
Summary:
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.
Contents:
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.
Notes:
Includes bibliographical references.
ISBN:
3-540-48415-9

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