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Series in Modern Condensed Matter Physics - Vol. 2

QUANTUM DISSIPATIVE SYSTEMS

by Ulrich Weiss (Univ. Stuttgart)

This book deals with the statistical mechanics and dynamics of open quantum systems moving irreversibly under the influence of a dissipative environment. The basic concepts and methods are described on the basis of a microscopic description with emphasis on the functional integral approach. The general theory for the time evolution of the density matrix of the damped system is developed. Many of the sophisticated ideas in the field are explained with simple models. The discussion includes, among others, the interplay between thermal and quantum fluctuations, quantum statistical decay, macroscopic quantum tunneling and quantum coherence.


Contents:

  • Introduction
  • General Theory: Traditional Approaches to Open Quantum Systems
  • System-Plus-Reservoir Models
  • Imaginary-Time Path Integrals
  • Real-Time Path Integrals and Dynamics
  • Simple Dissipative Quantum Systems: Damped Harmonic Oscillator
  • Quantum Brownian Motion
  • Quantum-Statistical Decay: Introduction to the Problem
  • The Crossover Temperature T0
  • Thermally Activated Decay
  • The Crossover Region
  • Dissipative Quantum Tunneling
  • The Dissipative Two-State System: Introduction
  • Thermodynamics
  • Two-State Dynamics
  • Dynamical Simulation
  • The Dissipative Multi-State System: Introduction
  • General Formalism
  • Dynamics at Long Times


Readership: Condensed matter and statistical physicists.

252pp Pub. date: Mar 1993
ISBN 981-02-0754-9 US$65 / £45
ISBN 981-02-0755-7(pbk) US$38 / £26


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 4 July 2008