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What is Quantum Optics? Ante The Wigner Function Quantum States in Phase Space Waves á la WKB WKB Wave Functions and Berry's Phase Interference in Phase Space Applications of Interference in Phase Space Wave Packet Dynamics Quantization of the Radiation Field Quantum States of the Radiation Field Phase Space Functions Optical Interferometry Atom–Field Interaction Dynamics of Jaynes–Cummings–Paul Model State Preparation and Entanglement The Paul Trap Damping and Amplification Atom Optics in Quantized Light Fields Wigner Functions in Atom Optics Appendix Time Dependent Operators – Derivation of Equations Determining the Moyal Function – Energy Wave Functions of Harmonic Oscillator – Method of Stationary Phase – Radial Equation – Airy Function – Asymptotic Expansion of the Poisson Distribution – Area of Overlap – P–Distributions – Homodyne Detection Kernel – Effective Hamiltonian – Spontaneous Emission – A Model for the Square Root of a Delta Function – Bessel Functions