Lectures on the Non-Equilibrium Theory of Condensed Matter (2版)
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This book discusses in depth many of the key problems in non-equilibrium physics. Besides the standard subjects (Boltzmann and Master equations, linear response) it includes several new important subjects as well. The origin of macroscopic irreversible (dissipative) behavior receives an extended attention and is illustrated in the framework of solvable classical models of open systems (Chapter 3). The scaling relationship between the kinetic and hydrodynamical levels is described in Chapter 9. The QED of charged non-relativistic particles and its restriction to the states without photons to order 1/c² leading to the current-current magnetic interaction is discussed in some depth in Chapters 14 and 15. Bose–Einstein condensation in real time within the frame of rate equations, as well as soliton-like solutions of the non-linear Gross-Pitaevskii equation are discussed in Chapter 22. The presentation also includes the latest developments — quantum kinetics — related to modern ultrafast spectroscopy (Chapters 23–30).
This second edition was improved, restructured, and enriched with new results from the recent papers of the author. Chapter 3 was largely extended and Chapters 14 and 15 are completely new. Chapter 22 has a new Section. Several new useful figures were added throughout the book as well.
Contents:
Introduction. (Why and How Non-Equilibrium?)
Time-Reversal and Evolution Toward Equilibrium
Solvable Classical Models of Open Systems
Naive Deduction of the Rate Equation from the Heisenberg Equation of Motion
Naive Quantum Kinetics
Schrödinger Equation Versus Master Equation
Diagonal Master Equations and Rate Equations
The Boltzmann Equation
Hydrodynamics as Scaling of Kinetic Theory
Master Equations for the Density Operator. (Reservoir Theory)
Two-Level Atom Interacting with Light
Master Equations for the Density Operator with Particle-Particle Collisions (The Super-Projector Approach)
Van Hove's Weak Coupling Limit and Davies's Generalization
Charged Particles Interacting with the Electromagnetic Field
Extension of the Electronic Hamiltonian with Transverse Current-Current Terms
Linear Response to External Perturbations
The Nyquist Theorem
The Kubo Formulae
The Longitudinal Dielectric Function of Crystals
The Transverse Dielectric Function in the Nonrelativistic Quantum Electrodynamics
Excitonic Absorption in a Semiconductor
Bose-Einstein Condensation in Real Time
Real-Time Experiments: Ultra-Short-Time Spectroscopy
Keldysh's Non-Equilibrium Green Functions
Keldysh-Green Functions and Time-Reversal
Time-Dependent Hartree-Fock Treatment of Coulomb Interaction. The Exciton
Quantum Kinetics of Electrons and Holes Scattered by LO Phonons Within the S.C. RPA and the Kadanoff-Baym Approximation
Full Two-Time Quantum-Kinetics of Electrons and Holes Scattered by LO Phonons within the S.C. RPA
Coulomb Quantum Kinetics of Electrons and Holes within the S.C. RPA and the Kadanoff-Baym Approximation. Time Dependent Screening
Full Two-Time Quantum Kinetics of an Electron-Hole Coulomb System. Ward Identities
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