Methods in Theoretical Quantum Optics

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Clarendon Press, Nov 14, 2002 - Mathematics - 284 pages
Methods in theoretical quantum optics is aimed at those readers who already have some knowledge of mathematical methods and have also been introduced to the basic ideas of quantum optics. This book is ideal for students who have already explored the basics of the quantum theory of light and are seeking to acquire the mathematical skills used in real problems. This book is not primarily about the physics of quantum optics, but rather presents the mathematical methods widely used by workers in this field. There is no comparable book which covers either the range or the depth of mathematical techniques.
 

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Contents

Foundations
1
Operators and states
34
Quantum statistics of fields
87
Dissipative processes
130
Dressed states
182
Kronecker delta and the permutation symbol
222
Special functions
228
Quadrature eigenstates
234
The pole approximation
240
Laplace transforms and the final value theorem
250
The method of characteristics for partial differential
258
FokkerPlanck equations
266
Cubic equations
276
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About the author (2002)

Stephen M. Barnett, University of Strathclyde, Glasgowsteve@phys.strath.ac.uk Paul M. Radmore, University College, Londonp.radmore@ee.ucl.ac.uk