Theoretical and Mathematical Physics

Statistical Methods in Quantum Optics 1

Master Equations and Fokker-Planck Equations

Authors: Carmichael, Howard J.

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-662-03875-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-540-54882-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-642-08133-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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. Particular attention is given to the theory of optical bistability formulated in terms of the positive P-representation, and the theory of small bistable systems. This is a textbook at an advanced graduate level. It is intended as a bridge between an introductory discussion of the master equation method and problems of current research.

Reviews

From the reviews
"To sum up: Statistical Methods in Quantum Optics 1 is an excellent book. Try it, you'll like it!" (M.O. Scully, Physics Today, 2000)

"The book is carefully written, in considerable detail, paying attention to both foundations and applications. It contains exercices completing or generalizing the material presented, and ample references to the literature. It is, therefore, very useful as the basis for a course." (V.R. Vieira, Mathematical Reviews, 2000f)

PHYSICS TODAY
"…a valuable addition to the literature…an excellent book. Try it, you’ll like it!”

 "It is a pleasure to recommend this title thoroughly for both individual and institutional purchase." (D. L. Andrews (University of Anglia), Contemporary Physics 2002, vol. 43, page 232-233)


Table of contents (8 chapters)

  • Dissipation in Quantum Mechanics: The Master Equation Approach

    Carmichael, Howard J.

    Pages 1-28

  • Two-Level Atoms and Spontaneous Emission

    Carmichael, Howard J.

    Pages 29-74

  • Quantum—Classical Correspondence for the Electromagnetic Field I: The Glauber—Sudarshan P Representation

    Carmichael, Howard J.

    Pages 75-99

  • Quantum—Classical Correspondence for the Electromagnetic Field II: P, Q, and Wigner Representations

    Carmichael, Howard J.

    Pages 101-145

  • Fokker—Planck Equations and Stochastic Differential Equations

    Carmichael, Howard J.

    Pages 147-193

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-662-03875-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-540-54882-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-642-08133-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Statistical Methods in Quantum Optics 1
Book Subtitle
Master Equations and Fokker-Planck Equations
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03875-8
DOI
10.1007/978-3-662-03875-8
Hardcover ISBN
978-3-540-54882-9
Softcover ISBN
978-3-642-08133-0
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XXI, 361
Topics