1.Introduction
2.Introduction to the Physics of Nonideal Plasmas
2.1 The Microscopic and Statistical Description of a Fully IonizedPlasma
2.2 Equilibrium Distribution Function. Degenerate andNon-degenerate Plasmas
2.3 The Vlasov Equation
2.4 Dynamical Screening
2.5 Self-Energy and Stopping Power
2.6 Thermodynamic Properties of Plasmas. The Plasma PhaseTransition
2.7 Bound States in Dense Plasmas. Lowering of the IonizationEnergy
2.8 Ionization Equilibrium and Saha Equation. TheMott-Transition
2.9 The Density-Temperature Plane
2.10 Boltzmann Kinetic Equation
2.11 Transport Properties
2.12 Ionization Kinetics
3.Quantum Statistical Theory of Charged Particle Systems
3.1 Quantum Statistical Description of Plasmas
3.2 Method of Green's Functions
3.2.1 Correlation Functions and Green's Functions
3.2.2 Spectral Representations and Analytic Properties of Green'sFunctions
3.2.3 Analytical Properties, Dispersion Relations
3.3 Equations of Motion for Correlation Functions and Green'sFunctions
3.3.1 The Martin-Schwinger Hierarchy
3.3.2 The Hartree-Fock Approximation
3.3.3 Functional Form of the Martin-Schwinger Hierarchy
3.3.4 Self-Energy and Kadanoff-Baym Equations
3.3.5 Structure and Properties of the Self-Energy. InitialCorrelation
3.3.6 Gradient Expansion. Local Approximation
3.4 Green's Functions and Physical Properties
3.4.1 The Spectral Function. Quasi-Particle Picture
3.4.2 Description of Macroscopic Quantities
4.Systems with Coulomb Interaction
4.1 Screened Potential and Self-Energy
4.2 General Response Functions
4.3 The Kinetics of Particles and Screening FieldFluctuations
4.4 The Dielectric Function of the Plasma General Properties, SumRules
4.5 The Random Phase Approximation (RPA)
4.5.1 The RPA Dielectric Function
4.5.2 Limiting Cases. Quantum and Classical Plasmas
4.5.3 The Plasmon-Pole Approximation
4.6 Excitation Spectrum, Plasmons
4.7 Fluctuations, Dynamic Structure Factor
4.8 Static Structure Factor and Radial Distribution Function
4.9 Dielectric Function Beyond RPA
4.10 Equations of Motion for Density-Density Correlation Functions.Schrodinger Equation for Electron-Hole Pairf
4.11 Self-Energy in RPA. Single-Particle Spectrum
5. Bound and Scattering States in Plasmas. Binary CollisionApproximation
5.1 Two-Time Two-Particle Green's Function
5.2 Bethe-Salpeter Equatio in Dynamically Screened LadderApproximation
5.3 Bethe-Salpeter Equation for a Statically ScreenedPotential
5.4 Effective Schrodinger Equation. Bilinear Expansion
5.5 The T-Matrix
5.6 Two-Particle Scattering in Plasmas. Cross Sections
5.7 Self-Energy and Kadanoff-Baym Equations in LadderApproximation
5.8 Dynamically Screened Ladder Approximation
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6.Thermodynamics of Nonideal Plasmas
7.Nonequilibrium Nonideal Plasmas
8.Transport and Relaxation Processes in Nonideal Plasmas
9.Dense Plasmas in External Fields