Mathematical Methods of Quantum Optics

Ravinder-R Puri

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Ravinder-R Puri - Mathematical Methods of Quantum Optics.
This book provides an accessible introduction to the mathematical methods of quantum optics. Starting from first principles, it reveals how a given system... Lire la suite
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Résumé

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 eigen-function 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 quasi-probability distributions.
A unified approach is developed for determining the dynamics of two-level and a three-level atom in combinations of quantized fields under certain conditions. Simple methods for solving a variety of linear and nonlinear dissipative master equations are given.

Sommaire

    • Basic quantum mechanics
    • Algebra of the exponential operator
    • Representations of some Lie algebras
    • Quasiprobabilities and non-classical states
    • Theory of stochastic processes
    • The electromagnetic field
    • Atom-field interaction Hamiltonians
    • Quantum theory of damping
    • Linear and nonlinear response of a system in an external field
    • Solution of linear equations: method of eigenvector expansion
    • Two-level and three-level Hamiltonian systems
    • Dissipative atomic systems
    • Dissipative field dynamics
    • Dissipative cavity QED

Caractéristiques

  • Date de parution
    30/01/2001
  • Editeur
  • Collection
  • ISBN
    3-540-67802-6
  • EAN
    9783540678021
  • Présentation
    Relié
  • Nb. de pages
    285 pages
  • Poids
    0.565 Kg
  • Dimensions
    16,2 cm × 24,2 cm × 2,3 cm

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