Principles of Quantum Electronics

Preface1. Review of Quantum Mechanics 1.1 Hamiltonian Mechanics 1.2 Operators and State Vectors 1.3 Quantization Rules 1.4 The Harmonic Oscillator Problems2. Field Quantization 2.1 Introduction 2.2 Quantization of an LC Circuit 2.3 Quantization of Transverse Electromagnetic Fields 2.4 The Photon 2.5 Phonons of a Linear Lattice Model 2.6 Phonons of the Three-Dimensional Lattice Problems3. Interaction between Fields and Charges 3.1 Interacting Systems 3.2 The Quantized Field Excited by a Classical Current Problems4. Photon Emission by "Free" Electrons 4.1 Introduction 4.2 Transit Time LC Oscillator, Quantum-Mechanical Treatment 4.3 Transit Time LC Oscillator, Classical Treatment 4.4 Discussion of the Transit Time LC Oscillator 4.5 Stimulated Emission of Bremsstrahlung 4.6 Cerenkov Radiation Problems5. Interaction of Bound Electrons with Radiation 5.1 Spontaneous and Stimulated Emission and Absorption by Bound Electrons 5.2 A Simple, One-Dimensional Maser Model 5.3 The Natural Line-width 5.4 Interference of the Light of Two Independent Lasers 5.5 The Doppler Effect Problems6. Noise and Counting Statistics 6.1 Introduction 6.2 Thermal Noise 6.3 Quantum Noise 6.4 Shot Noise 6.5 Noise Performance of Light Detectors 6.6 Noise Performance of Light Amplifiers 6.7 The Poisson Distribution 6.8 Photon Counting Statistics Problems7. The Density Matrix Method 7.1 Definition of the Density Matrix 7.2 Properties of the Density Matrix 7.3 Laser Treated by Means of the Density Matrix 7.4 Laser Saturation 7.5 Nonlinear Effects Treated with the Help of the Density Matrix 7.6 Second Harmonic Generation 7.7 Parametric Up- and Down-Conversion and Amplification 7.8 Raman Effect Problems8. Multiple-Photon Processes 8.1 Introduction 8.2 Emission and Absorption of More than One Photon 8.3 Rayleigh Scattering 8.4 Raman Scattering 8.5 A Different Approach to the Raman Effect 8.6 The Raman Effect in Crystals 8.7 Discussion of the Raman Effect in Crystals 8.8 Brillouin Scattering 8.9 Parametric Processes Problems9. Losses in Quantum Electronics 9.1 Loss Description in Classical and Quantum Mechanics 9.2 Modes in a Lossy Cavity 9.3 Propagation of Modes in a Lossy Waveguide 9.4 Thermal Noise and the Loss Model Problems10. Maxwell's Theory as Quantum Theory of the Photon 10.1 Introduction 10.2 Maxwell's Equations in Momentum Representation 10.3 Schrödinger Equation of the Photon 10.4 Photon Energy 10.5 The Normalization Factor 10.6 Photon Momentum 10.7 Angular Momentum and Spin 10.8 Photon Wave Function in Real Space ProblemsReferencesSupplementary ReferencesIndex