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Crossover-Time in Quantum Boson and Spin Systems

  • Book
  • © 1994

Overview

Authors:
  1. Gennady P. Berman

    1. Center for Nonlinear Studies, Los Alamos National Laboratory, MS B258, Los Alamos, USA
      Kirensky Institute of Physics, Krasnoyarsk, Russia

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  2. Evgeny N. Bulgakov

    1. Kirensky Institute of Physics, Krasnoyarsk, Russia

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  3. Darryl D. Holm

    1. Theoretical Division, Los Alamos National Laboratory, MS B284, Los Alamos, USA

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Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 21)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction

    Pages 1-4

  3. Method of Coherent States

    Pages 4-16

  4. The Exact C-Number Equation for Time-Dependent Expectation Values in Coherent States

    Pages 16-31

  5. Quasiclassical Perturbation Theory for Time-Dependent Expectation Values with Quantum Nonlinear Hamiltonians

    Pages 32-39

  6. The Characteristic Times of Violation of Quasiclassical Approximation for Integrable Boson and Spin Systems

    Pages 40-64

  7. Time-Scale τ ħ for a Kicked Quantum Nonlinear Oscillator

    Pages 64-79

  8. The Time of Applicability of the Quasiclassical Approach in a Boson System of Two Interacting Quantum Nonlinear Resonances

    Pages 79-88

  9. Two Interacting Quantum Nonlinear Resonances in a Spin System

    Pages 89-102

  10. Quantization of a Stochastic Web

    Pages 103-128

  11. Characteristic Times for Chaotic Dynamics in Wigner Representation

    Pages 129-157

  12. Quantum Chaos of Atoms in a Resonant Cavity

    Pages 157-178

  13. Quantum Chaos of Atoms in a Resonant Cavity Driven by an External Resonant Field

    Pages 178-204

  14. Violation of the Semiclassical Approximation and Quantum Chaos in a Paramagnetic Spin System

    Pages 204-214

  15. Weak Quantum Chaos in a System of N Atoms in a Resonant Cavity Interacting with an External Resonant Field

    Pages 214-236

  16. Quantum Dynamics in Stationary Coherent States (SCS)

    Pages 236-247

  17. Discussion

    Pages 247-250

  18. Back Matter

    Pages 251-268
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Reviews

"...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 Physics

Authors and Affiliations

  • Center for Nonlinear Studies, Los Alamos National Laboratory, MS B258, Los Alamos, USA

    Gennady P. Berman

  • Kirensky Institute of Physics, Krasnoyarsk, Russia

    Gennady P. Berman, Evgeny N. Bulgakov

  • Theoretical Division, Los Alamos National Laboratory, MS B284, Los Alamos, USA

    Darryl D. Holm

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