1.Introduction
2. Introduction to the Physics of Nonideal Plasmas
2.1 The Microscopic and Statistical Description
of a Fully Ionized Plasma
2.2 Equilibrium Distribution Function
Degenerate and Non-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 Phase Transition
2.7 Bound States in Dense Plasmas
Lowering of the Ionization Energy
2.8 Ionization Equilibrium and Saha Equation
The Mott.nansition
2.9 The Density—Temperature Plane
2.10 Boltzmann Kinetic Equation
2.1l nansport 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’S Functions
3.2.3 Analytical Properties，Dispersion Relations
3.3 Equations of Motion for Correlation Functions
and Green’S Functions
3.3.1 The Martin—Schwinger Hierarchy
3.3.2 The Hartrcc—FDck Approximation
3.3.3 Functional Fo.rm
of the Martin-Schwinger Hierarchy
3.3.4 Self-Energy and Kadanoif-Baym Equations
3.3.5 Structure and Properties of the Self-Energy
Initial Correlation
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 Sel~Energy
4.2 General Response F、unctions
4.3 The Kinetics of Particles and Screening
Field F1uctuations
4.4 The Dielectric Function of the Plasma
General Properties.Sum Rules
4.5 The Random Phase Approximation fRPAl
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.SchrSdinger Equation for Electron-Hole Pairs
4.11 Self-Energy in RPA.Single-Particle Spectrum
5. Bound and Scattering States in Plasmas
Binary Collision Approximation
5.1 TWO—Time Two—Particle Green’S Function
5.2 Bethe—Salpeter Equation
in Dynamically Screened Ladder Approximation
5.3 Bethe-SMpeter Equation
for a Statically Screened Potential
5.4 Effective Schr6dinger 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 Ladder Approximation
5.8 Dynamically Screened Ladder Approximation
5.9 The Bethe-Salpeter Equation in Local Approximation
Thermodynamic Equilibrium
5.10 Perturbative Solutions.Efiective SchrSdinger Equation
5.11 Numerical Results
6. Thermodynamics of Nonideal Plasmas
6.1 Basic Equations
6.2 Screened Ladder Approximation
6.3 Ring Approximation for the EOS
Montroll-Ward F0rmula
6.3.1 General Relations
6.3.2 The Low Density Limit fNon—degenerate Plasmas)
6.3.3 High Density Limit.Gell-Mann-Brueckner Result
6.3.4 Pad@FcIrmulae for Thermodynamic Functions
6.4 Next Order Terms
6.4.1 e4_Exchange and e6_Terms
6.4.2 Beyond Montroll一Wlard TerillS
6.5 Equation of State in Ladder Approximation.Bound States
6.5.1 Ladder Approximations of the EOS
Cluster Coefficients
6.5.2 Bound States.Levinson Theorem
6.5.3 The Second Virial Coeffcient for Systems
of Charged Particles
6.5.4 Equation of State
in Dynamically Screened Ladder Approximation
6.5.5 Density Expansion of Thermodynamic Functions
of Non—degenerate Plasmas
6.5.6 Bound States and Chemical Picture
Mott Transition
6.6 Thermodynamic Properties of the H—Plasma
6.6.1 The Hydrogen Plasma
6.6.2 Fugacity Expansion of the EOS
From Physical to Chemical Picture
6.6.3 The Low—Density H—Atom Gas
6.6.4 Dense Fluid Hydrogen
6.7 The Dense Partially Ionized H—Plasma.
7. Nonequilibrium Nonideal Plasmas
7.1 Kadanoif-Baym Equations
Ultra-fast Relaxation in Dense Plasmas
7.2 The Time—Diagonal Kadanoff-Baym Equation
7.3 The Quantum Landau Equation
7.4 Dynamical Screening
Generalized Lenard——Balescu Equation
7.5 Particle Kinetics and Field Fluctuations
Plasmon Kinetics
7.6 Kinetic Equation in Ladder Approximation
Boltzmann Equation
7.7 Bound States in the Kinetic Theory
7.7.1 Bound States and Oif-Shell Contributions
7.7.2 Kinetic Equations
in Three-Particle Collision Approximation
7.7.3 The W_ealk Coupling Approximation
Lenard—Balescu Equation for Atoms.
7.8 Hydrodynamic Equations
8.Transport and Relaxation Processes
in Nonideal Plasmas
8.1 Rate Equations and Reaction Rates
8.1.1 T—Matrix Expressions for the Rate Coefficients
8.1.2 Rate Coefficients and Cross Sections
8.1.3 TWO-Particle States.Atomic Form Factor
8.1.4 Density Eirects in the Cross Sections
8.1.5 Rate Coefficients for Hydrogen
and Hydrogen—Like Plasmas
8.1.6 Dynamical Screening
8.2 Relaxation Processes
8.2.1 Population Kinetics in Hydrogen
and Hydrogen—Like Plasmas
8.2.2 Two-Temperature Plasmas
8.2.3 Adiabatically Expanding Plasmas
8.3 Quantum Kinetic Theory of the Stopping Power
8.3.1 Expressions for the Stopping Power
of Fully Ionized Plasmas
8.3.2 T-Matrix Approximation and Dynamical Screening
8.3.3 Strong Beam-Plasma Correlations.Z Dependence
8.3.4 Comparison with Numerical Simulations
8.3.5 Energy Deposition in the Target Plasma
8.3.6 Partially Ionized Plasmas
9.Dense Plasmas in External Fields
9.1 Plasmas in Electromagnetic Fields
9.1.1 Kadanoff-Baym Equations
9.1.2 Kinetic Equation for Plasmas in External
Electromagnetic Fields
9.1.3 Balance Equations.Electrical Current
and Energy Exchange
9.1.4 Plasmas in Wleak La,ser Fields
Generalized Drude Formula
9.1.5 Absorption and Emission of Radiation
in Wleak Laser Fields
9.1.6 Plasmas in Strong Laser Fields.Higher Harmonics
9.1.7 Collisional Absorption Rate in Strong Fields
9.1.8 Results for the Collision Frequency
9.1.9 Effects of Strong Correlations
9.2 The static Electrical Conductivity
9.2.1 The Relaxation Effect
9.2.2 Lorentz Model with Dynamic Screening
Structure Factor
9.2.3 Chapman—Enskog Approach to the Conductivity
9.2.4 Partially Ionized Hydrogen Plasma
9.2.5 Nonideal All-li Plasmas
9.2.6 Dense Metal Plasmas
