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Quantum Dissipative Systems / Edition 2

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Overview

Major advances in the quantum theory of macroscopic systems, in combination with stunning experimental achievements, have brightened the field and brought it to the attention of the general community in natural sciences. Today, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book-originally published in 1990 and republished in 1999 as an enlarged second edition-delves much deeper than ever before into the fundamental concepts, methods, and applications of quantum dissipative systems, including the most recent developments.

In this third edition, 26 chapters from the second edition contain additional material and several chapters are completely rewritten. It deals with the phenomena and theory of decoherence, relaxation, and dissipation in quantum mechanics that arise from the interaction with the environment. In so doing, a general path integral description of equilibrium thermodynamics and nonequilibrium dynamics is developed.

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Product Details

  • ISBN-13: 9789810240912
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 12/28/1999
  • Series: Series in Modern Condensed Matter Physics
  • Edition description: 2ND
  • Edition number: 2
  • Pages: 460

Table of Contents

I Introduction 1

1 General Theory of Open Quantum Systems 5

2 Diverse limited approaches: a brief survey 5

3 System - plus - reservoir models 18

4 Imaginary-time path integrals 57

5 Real-time path integrals and dynamics 106

II Few Simple Applications 131

6 Damped harmonic oscillator 131

7 Quantum Brownian free motion 156

8 The thermodynamic variational approach 167

9 Suppression of quantum coherence 178

III Quantum Statistical Decay 189

10 Introduction 189

11 Classical rate theory: a brief overview 192

12 Quantum rate theory: basic methods 199

13 Multidimensional quantum rate theory 212

14 Crossover from thermal to quantum decay 216

15 Thermally activated decay 223

16 The crossover region 233

17 Dissipative quantum tunneling 242

IV The Dissipative Two-State System 259

18 Introduction 259

19 Thermodynamics 272

20 Electron transfer and incoherent tunneling 294

21 Two-state dynamics 333

22 The driven two-state system 399

V The Dissipative Multi-State System 411

23 Quantum Brownian particle in a washboard potential 411

24 Multi-state dynamics 413

25 Duality symmetry 439

26 Charge transport in quantum impurity systems 470

Bibliography 483

Index 503

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