| Introduction to Kinetics and Many-Body Theory | |
| Boltzmann Equation | p. 3 |
| Heuristic Derivation of the Semiclassical Boltzmann Equation | p. 3 |
| Approach to Equilibrium: H-Theorem | p. 5 |
| Linearization: Eigenfunction Expansion | p. 8 |
| Numerical Solutions of the Boltzmann Equation | p. 11 |
| Introduction | p. 11 |
| Linearized Coulomb Boltzmann Kinetics of a 2D Electron Gas | p. 12 |
| Ensemble Monte Carlo Simulation | p. 20 |
| General Theory | p. 20 |
| Simulation of the Relaxation Kinetics of a 2D Electron Gas | p. 23 |
| N[superscript +]N[superscript -]N[superscript +] Structure: Boltzmann Equation Analysis | p. 29 |
| Equilibrium Green Function Theory | p. 35 |
| Second Quantization | p. 35 |
| Density Matrix Equations: An Elementary Derivation of a Non-Markovian Quantum Kinetic Equation | p. 38 |
| Green Functions | p. 41 |
| Examples of Measurable Quantities | p. 43 |
| Fluctuation-Dissipation Theorem | p. 45 |
| Perturbation Expansion of the Green Function | p. 47 |
| Examples of Simple Solvable Models | p. 50 |
| Free-Particle Green Function | p. 50 |
| Resonant-Level Model | p. 50 |
| Self-Energy | p. 52 |
| Electron-Phonon Interaction | p. 52 |
| Elastic Impurity System: Impurity Averaging | p. 54 |
| Finite Temperatures | p. 58 |
| Nonequilibrium Many-Body Theory | |
| Contour-Ordered Green Functions | p. 63 |
| General Remarks | p. 63 |
| Two Transformations | p. 64 |
| Analytic Continuation | p. 69 |
| Basic Quantum Kinetic Equations | p. 75 |
| Introductory Remarks | p. 75 |
| The Kadanoff-Baym Formulation | p. 75 |
| Keldysh Formulation | p. 77 |
| Boltzmann Limit | p. 79 |
| Gradient Expansion | p. 79 |
| Quasiparticle Approximation | p. 81 |
| Recovery of the Boltzmann Equation | p. 82 |
| Gauge Invariance | p. 85 |
| Choice of Variables | p. 85 |
| Gauge Invariant Quantum Kinetic Equation | p. 87 |
| Driving Term | p. 87 |
| Collision Term | p. 90 |
| Retarded Green Function | p. 91 |
| Quantum Distribution Functions | p. 93 |
| Relation to Observables, and the Wigner Function | p. 93 |
| Generalized Kadanoff-Baym Ansatz | p. 94 |
| Summary of the Main Formal Results | p. 97 |
| Quantum Transport in Semiconductors | |
| Linear Transport | p. 101 |
| Quantum Boltzmann Equation | p. 101 |
| Linear Conductivity of Electron-Elastic Impurity Systems | p. 104 |
| Kubo Formula | p. 105 |
| Quantum Kinetic Formulation | p. 109 |
| Weak Localization Corrections to Electrical Conductivity | p. 111 |
| Field-Dependent Green Functions | p. 115 |
| Free Green Functions and Spectral Functions in an Electric Field | p. 115 |
| A Model for Dynamical Disorder: The Gaussian White Noise Model | p. 121 |
| Introduction | p. 121 |
| Determination of the Retarded Green Function | p. 121 |
| Kinetic Equation for the GWN | p. 123 |
| Other Transport Properties | p. 127 |
| Introduction to High-Field Transport in Semiconductors | p. 129 |
| Resonant-Level Model in High Electric Fields | p. 131 |
| Introduction | p. 131 |
| Retarded Green Function: Single Impurity Problem | p. 131 |
| Retarded Green Function: Dilute Concentration of Impurities | p. 133 |
| Analytic Continuation | p. 140 |
| Quantum Kinetic Equation | p. 141 |
| Quantum Kinetic Equation for Electron-Phonon Systems | p. 144 |
| An Application: Collision Broadening for a Model Semiconductor | p. 148 |
| Analytical Considerations | p. 148 |
| A Simple Model: Optical Phonon Emission at T = 0 | p. 150 |
| Spatially Inhomogeneous Systems | p. 151 |
| Optical Absorption in Intense THz Fields | p. 157 |
| Introductory Remarks | p. 157 |
| Optical Absorption as a Response Function | p. 158 |
| Absorption Coefficient | p. 162 |
| Static Electric Field | p. 163 |
| Harmonically Varying External Electric Fields | p. 164 |
| Joint Density of States, 2D | p. 167 |
| Joint Density of States, 3D | p. 169 |
| Dynamical Franz-Keldysh Effect: Excitonic Effects | p. 171 |
| Matrix Truncation | p. 172 |
| Floquet Space Formulation | p. 175 |
| Transport in Mesoscopic Semiconductor Structures | p. 181 |
| Introduction | p. 181 |
| Nonequilibrium Techniques in Mesoscopic Tunneling Structures | p. 184 |
| Model Hamiltonian | p. 185 |
| General Expression for the Current | p. 186 |
| Current Conservation | p. 191 |
| Noninteracting Resonant-Level Model | p. 192 |
| Density Functional Theory and Modeling of Molecular Electronics | p. 195 |
| Resonant Tunneling with Electron-Phonon Interactions | p. 196 |
| Transport in a Semiconductor Superlattice | p. 198 |
| Transport in Atomic Gold Wires: Signature of Coupling to Vibrational Modes | p. 202 |
| Transport Through a Coulomb Island | p. 205 |
| Time-Dependent Phenomena | p. 213 |
| Introduction | p. 213 |
| Applicability to Experiments | p. 214 |
| Mathematical Formulation | p. 215 |
| Average Current | p. 217 |
| Time-Dependent Resonant-Level Model | p. 218 |
| Response to harmonic Modulation | p. 221 |
| Response to Step-Like Modulation | p. 224 |
| Linear-Response | p. 227 |
| Fluctuating Energy Levels | p. 229 |
| Noise | p. 230 |
| The Disconnected Terms | p. 235 |
| The Connected Terms | p. 236 |
| Theory of Ultrafast Kinetics in Laser-Excited Semiconductors | |
| Optical Free-Carrier Interband Kinetics in Semiconductors | p. 243 |
| Interband Transitions in Direct-Gap Semiconductors | p. 243 |
| Reduced Density Matrices | p. 243 |
| Nonequilibrium Green Functions | p. 245 |
| Calculations of the Two-Time-Dependent Nonequilibrium Green Function | p. 245 |
| Replacement of Two-Time Propagators by a One-Time Density Matrix and a Two-Time Spectral Function | p. 246 |
| Free-Carrier Kinetics Under Laser-Pulse Excitation | p. 251 |
| The Optical Free-Carrier Bloch Equations | p. 255 |
| Interband Quantum Kinetics with LO-Phonon Scattering | p. 259 |
| Derivation of the Interband Quantum Kinetic Equations | p. 259 |
| The Spectral Green Functions G[superscript r subscript mu nu] and G[superscript a subscript mu nu] | p. 266 |
| Free-Particle Retarded Green Function | p. 266 |
| Retarded GF in the Mean-Field Approximation | p. 267 |
| Spectra of Retarded Gfs | p. 269 |
| Dephasing of Retarded Green Functions | p. 274 |
| Intraband Relaxation | p. 279 |
| Interband-Polarization Dephasing | p. 281 |
| Numerical Strategies | p. 283 |
| Two-Pulse Spectroscopy | p. 287 |
| Introductory Remarks | p. 287 |
| Thin Samples | p. 289 |
| Low-Intensity Two-Beam Experiments | p. 290 |
| LO-Phonon Relaxation Cascades | p. 291 |
| LO-Phonon Quantum Beats in FWM | p. 292 |
| Two-Time Electron-Phonon Quantum Kinetics | p. 294 |
| Coulomb Quantum Kinetics in a Dense Electron-Hole Plasma | p. 301 |
| Introduction | p. 301 |
| Screening in the Nonequilibrium GF Theory | p. 302 |
| Coulomb Quantum Kinetics | p. 306 |
| Plasmon-Pole Approximation for the Two-Time-Dependent Potential | p. 309 |
| Parametric Plasma Oscillations | p. 311 |
| Instantaneous Static Potential Approximation | p. 313 |
| The Buildup of Screening | p. 317 |
| Screening of the Coulomb Interaction | p. 317 |
| Calculations of the Two-Time-Dependent Screened Potential | p. 318 |
| Femtosecond Optical Pump and THz Probe Spectroscopy | p. 320 |
| Time-Dependent Screening of Phonon-Mediated and Coulomb Interactions | p. 320 |
| Buildup of the Phonon-Plasmon Mixed Modes | p. 324 |
| Femtosecond Four-Wave Mixing with Dense Plasmas | p. 331 |
| Time-Resolved Four-Wave Mixing | p. 331 |
| Time-Integrated Four-Wave Mixing | p. 334 |
| Four-Wave Mixing with Coherent Control | p. 335 |
| References | p. 341 |
| Index | p. 353 |
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