Includes bibliographical references (p. 117)

Preface v Acknowledgements vii PART 1 METHODS OF STUDYING QUANTUM OPTICAL PHENOMENA 1 Chapter 1 Introduction to Quantum Mechanics in Microworld 3 Chapter 2 Quantum States and Statistics 9 Chapter 3 Creation and Annihilation Operators 11 Chapter 4 Some Second Quantized Quantum Models of Interacting Particles and Fields (Bosons and Fermions) 15 Chapter 5 The Rayleigh-SchrSdinger Approach to the Ground State Spectrum Calculations 21 Chapter 6 The One-Particle Green's Function 27 Chapter 7 The Ground States of Noninteracting Fermi- and Bose-Many Particle Systems 29 Chapter 8 The Wick Theorem and Feynman Diagrammatic Expansion 33 Chapter 9 The Dyson Equations 39 Chapter 10 Polarization Operators 47 Chapter 11 The Hartree-Fock Approximation 49 Chapter 12 The Correlation Energy of Electron Gas at High Density 53 PART 2 NONLINEAR QUANTUM OPTICS MODELS AND THEIR APPLICATIONS 61 Chapter 13 Nonlinear Quantum Optics Bose-Systems 63 Chapter 14 The Dicke Model 77 Chapter 15 The Bloch-Maxwell Super-Radiance Quantum Optical Model 81 Chapter 16 A Degenerate Parametric Quantum Optical Amplifier 87 Chapter 17 Two-Mode Nonlinear Quantum Optics System: A Non-degenerate Parametric Quantum Optical Amplifier 95 Chapter 18 A Nonlinear Quantum-Optical System at Equilibrium Radiative State 103 Appendix A The Green's Function 107 Appendix B The Feynman Diagram Approach: Perturbation Series Expansion 109 Appendix C The Equilibrium State Analysis 113 Bibliography 117 Index 119