Master equations and fokker-planck equations

Bibliographic Information

Master equations and fokker-planck equations

H.J. Carmichael

(Texts and monographs in physics, . Statistical methods in quantum optics ; 1)

Springer, c2010

Corrected Second Printing 2002

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Note

Includes bibliographical references (p. [349]-355) and index

First Edition 1999.

with Preface to the Second Corrected Printing

Description and Table of Contents

Description

This is the first of a two-volume presentation on current research problems in quantum optics, and will serve as a standard reference in the field for many years to come. The book provides an introduction to the methods of quantum statistical mechanics used in quantum optics and their application to the quantum theories of the single-mode laser and optical bistability. The generalized representations of Drummond and Gardiner are discussed together with the more standard methods for deriving Fokker-Planck equations.

Table of Contents

1. Dissipation in Quantum Mechanics: The Master Equation Approach.- 2. Two-Level Atoms and Spontaneous Emission.- 3. Quantum-Classical Correspondence for the Electromagnetic Field I: The Glauber-Sudarshan P Representation.- 4. Quantum-Classical Correspondence for the Electromagnetic Field II: P, Q, and Wigner Representations.- 5. Fokker-Planck Equations and Stochastic Differential Equations.- 6. Quantum-Classical Correspondence for Two-Level Atoms.- 7. The Single-Mode Homogeneously Broadened Laser I: Preliminaries.- 8. The Single-Mode Homogeneously Broadened Laser II: Phase-Space Analysis.- References.

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