Mathematical methods of quantum optics
By: by Ravinder R. Puri
Series: Springer series in optical sciences -- 79
Publisher: Springer
Published: 2011
Place of publication: Berlin; London
Language: eng
Number of pages: 289
ISBN-13: 9783642087325
Subjects: Quantum optics; Mathematical physics; Mathematics
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. The book will be valuable to newcomers to the field and to experimentalists in quantum optics.
Notes: Originally published: 2001.