Mathematical Methods of Quantum Optics (Springer Series in Optical Sciences)
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Book Description
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.
Book Info
Introduces the mathematical methods of quantum optics, providing the reader an accessible view of the subject. Analytically identifies exactly solvable classes of equations, as well as outlining the method of eigen-function expansion and the Lie algebraic method for solving algebraic equations.
Mathematical Methods of Quantum Optics (Springer Series in Optical Sciences),Ravinder R. Puri,Springer,3540678026,Applied,Mathematical Physics,Mathematics,Optics,Quantum optics,Science,Science/Mathematics,Science / Optics
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