Methods in Theoretical Quantum Optics [Hardcover]

This work presents the mathematical methods widely used by workers in the field of quantum optics. It deals with the physical assumptions which lead to the models and approximations employed, but the text is meant to give a firm grounding in those techniques needed to derive analytical solutions to problems. Based on teachings by the authors, most of the text has been tested on students.

1. Foundations
2. Coherent interactions
3. Operators and states
4. Quantum statistics of fields
5. Dissipative processes
6. Dressed states
Appendix 1: Kronecker delta and the permutation symbol
Appendix 2: The Dirac delta function
Appendix 3: Special Functions
Appendix 4: Quadrature eigenstates
Appendix 5: Operator ordering theorems
Appendix 6: The pole approximation
Appendix 7: Principal part integrals
Appendix 8: Contour integrals
Appendix 9: Laplace transforms and the final value theorem
Appendix 10: Operator ordering in the Heisenberg equations
Appendix 11: The method of characteristics for partial differential equations
Appendix 12: Transformation of master equations into partial differential equations
Appendix 13: Fokker-Planck equations
Appendix 14: Cubic equations
Selected bibliography
Index