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Mathematical Methods of Quantum Optics

  • Ravinder Rupchand Puri

Part of the Springer Series in Optical Sciences book series (SSOS, volume 79)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Ravinder Rupchand Puri
    Pages 1-36
  3. Ravinder Rupchand Puri
    Pages 37-53
  4. Ravinder Rupchand Puri
    Pages 55-79
  5. Ravinder Rupchand Puri
    Pages 81-97
  6. Ravinder Rupchand Puri
    Pages 99-117
  7. Ravinder Rupchand Puri
    Pages 119-136
  8. Ravinder Rupchand Puri
    Pages 137-153
  9. Ravinder Rupchand Puri
    Pages 155-175
  10. Ravinder Rupchand Puri
    Pages 199-214
  11. Ravinder Rupchand Puri
    Pages 215-238
  12. Ravinder Rupchand Puri
    Pages 239-250
  13. Ravinder Rupchand Puri
    Pages 251-266
  14. Back Matter
    Pages 267-289

About this book

Introduction

This book provides an accessible introduction to the mathematical methods of quantum optics. Starting from first principles, it reveals how a given system of atoms and a field is mathematically modelled. The method of eigenfunction expansion and the Lie algebraic method for solving equations are outlined. Analytically exactly solvable classes of equations are identified. The text also discusses consequences of Lie algebraic properties of Hamiltonians, such as the classification of their states as coherent, classical or non-classical based on the generalized uncertainty relation and the concept of quasiprobability distributions. A unified approach is developed for determining the dynamics of a two-level and a three-level atom interacting with combinations of quantized fields under certain conditions. Simple methods for solving a variety of linear and nonlinear dissipative master equations are given. The book will be valuable to newcomers to the field and to experimentalists in quantum optics.

Keywords

Absorption Finite Lie algebra average equation function optics quantum mechanics quantum optics recursion variable

Authors and affiliations

  • Ravinder Rupchand Puri
    • 1
  1. 1.Theoretical Physics Division, Central ComplexBhabha Atomic Research CentreMumbaiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-44953-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08732-5
  • Online ISBN 978-3-540-44953-9
  • Series Print ISSN 0342-4111
  • Series Online ISSN 1556-1534
  • Buy this book on publisher's site
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