半导体输运和光学中的量子动力学（英文版）

　　New textbooks on various aspects of theoretical physics seem to overflow the market. A prospective author must be able to provide convincing answers to at least the following questions （posed by the publisher， colleagues， and last but not least， by him/herself and the associated family members）. （i） Why bother writing the book？ （ii） Is there a sufficient audience for the text？ （iii） Isn't the topic already covered by a number of books， and isn't the author's best hope just to add a new wrinkle to the existing lore （and perhaps enhance his/her own publication record）？ （iv） Is there any practical need for the book？ （v） Are there any important open problems that the book will contribute to finding solutions to （or， at least， be able to identify points where the present understanding is insufficient）.本书为英文版。

暂缺《半导体输运和光学中的量子动力学（英文版）》作者简介

Contents Part 1 Introduction to Kinetics and Many-Body Theory 1. Boltzmann Equation 1.1 Heuristic Derivation of the Semiclassical Boltzmann Equation 1.2 Approach to Equilibrium, H-Theorem 1.3 Linearization, Eigenfunction Expansion 2. Numerical Solutions of the Boltzmann Equation 2.1 Linearized Coulomb Boltzmann Kinetics of a 2D Electron Gas 2.2 Ensemble Monte Carlo Simulation 2.2.1 General Theory 2.2.2 Simulation of the Relaxation Kinetics of a 2D Electron Gas 2.3 N+N-N+-Structure: Boltzmann Equation Analysis 3. Equilibrium Green Function Theory 3.1 Second Quantization 3.2 Green Functions 3.2.1 Examples of Measurable Quantities 3.3 Fluctuation-Dissipation Theorem 3.4 Perturbation Expansion of the Green Function 3.5 Examples of Simple Solvable Models 3.5.1 Free-Particle Green Function 3.5.2 Resonant-Level Model 3.6 Self-Energy 3.6.1 Electron-Phonon Interaction 3.6.2 Elastic Impurity System; Impurity Averaging 3.7 Finite Temperatures Part 11 Nonequilibrium Many-Body Theory 4. Contour Ordered Green Functions 4.1 General Remarks 4.2 Two Transformations 4.3 Analytic Continuation 5 Basic Quantum Kinetic Equations 5.1 The Kadanoff-Baym Formulation 5.2 The Keldysh Formulation 6. Boltzmann Limit 6.1 Gradient Expansion 6.2 Quasiparticle Approximation 6.3 Recovery of the Boltzmann Equation 7 Gauge Invariance 7.1 Choice of Variables 7.2 Gauge Invariant Quantum Kinetic Equation 7.2.1 Driving Term 7.2.2 Collision Term 7.3 Retarded Green Function 8. Quantum Distribution Functions 8.1 Relation to Observables, and the Wigner Function 8.2 Generalized Kadanoff-Baym Ansatz 8.3 Summary of the Main Formal Results Part III Quantum Transport in Semiconductors 9. Linear Transport 9.1 Quantum Boltzmann Equation 9.2 Linear Conductivity of Electron-Elastic Impurity Systems 9.2.1 Kubo Formula 9.2.2 Quantum Kinetic Formulation 9.3 Weak Localization Corrections to Electric Conductivity 10. A Model for Dynamical Disorder: The Gaussian White Noise Model 10.1 Introduction 10.2 Determination of the Retarded Green Function 10.3 Kinetic Equation for the GWN 10.4 Other Transport Properties 11. Quantum High-Field Transport in Semiconductors 11.1 Introduction 11.2 Free Green Functions and Spectral Functions in an Electric Field 11.3 Resonant-Level Model in High Electric Fields 11.3.1 Introduction 11.3.2 Retarded Green Function: Single Impurity Problem 11.3.3 Retarded Green Function: Dilute Concentration of Impurities 11.3.4 Analytic Continuation 11.3.5 Quantum Kinetic Equation 11.4 Quantum Kinetic Equation for Electron-Phonon Systems 11.5 An Application: Collision Broadening for a Model Semiconductor 11.5.1 Analytical Considerations 11.5.2 A Simple Model: Optical Phonon Emission at T = 0 11.6 Spatially Inhomogeneous Systems 12. Transport in Mesoscopic Semiconductor Structures 12.1 Introduction 12.2 Nonequilibrium Techniques in Mesoscopic Tunneling Structures 12.3 Model Hamiltonian 12.4 General Expression for the Current 12.5 Non-Interacting Resonant-Level Model 12.6 Resonant Tunneling with Electron-Phonon Interactions 12.7 Transport Through a Coulomb Island 13. Time-Dependent Phenomena 13.1 Introduction 13.2 Applicability to Experiments 13.3 Mathematical Formulation 13.4 Average Current 13.5 Time-Dependent Resonant-Level Model 13.5.1 Response to Harmonic Modulation 13.5.2 Response to Step-Like Modulation 13.6 Linear-Response 13.7 Fluctuating Energy Levels Part IV Theory of Ultrafast Kinetics in Laser-Excited Semiconductors 14. Optical Free-Carrier Interband Kinetics in Semiconductors 14.1 Interband Transitions in Direct-Gap Semiconductors 14.2 Free-Carrier Kinetics Under Laser-Pulse Excitation 14.3 The Optical Free-Carrier Bloch Equations 15. Interband Quantum Kinetics with LO-Phonon Scattering 15.1 Derivation of the Interband Quantum Kinetic Equations 15.2 Approximations for the Green Functions G and G 15.3 Intraband Quantum Kinetics 15.4 Linear Polarization Kinetics, Phonon Sidebands 15.5 Coupled Interband Kinetic Equations in Diagonal Approximation 15.6 Numerical Studies 16. Exciton Quantum Kinetics in Polar Semiconductors 16.1 Interband Quantum Kinetic Equations with Excitonic Effects 16.2 Quantum Beats and Urbach Tail 16.2.1 LO-Phonon Quantum Beats 16.2.2 Urbach Tail Absorption 16.3 Excitonic Optical Stark Effect 16.4 Coupled Quantum Kinetics of Electrons and Phonons 16.5 Quantum Coherence of the Green Functions 17. Two-Pulse Excitation 17.1 Calculation of the Photon Echo 17.2 Calculation of the Four-Wave Mixing Signal 17.3 Comparison with Four-Wave Mixing Experiments 18. Coulomb Quantum Kinetics in a Dense Electron Gas 18.1 Introduction 18.2 Derivation of a Closed Quantum Kinetic Description 18.3 Simplifying Approximations 18.3.1 Initial Time Regime Without Screening and Energy Conservation 18.3.2 Time-Dependent Plasmon Pole Approximation 18.3.3 Instantaneous Static Potential Approximation 19. Interband Coulomb Quantum Kinetics, Optical Dephasing 19.1 Interband Quantum Kinetic Equations with Coulomb Interaction 19.2 Early Stage of the Coulomb Quantum Kinetics 19.3 Quasi-Classical Theory of the Polarization Decay 20. The Build-Up of Screening After Ultra-Short Pulse Excitation 20.1 The Model 20.2 Numerical Results References Subject Index