Quantum Statistics of Charged Particle Systems

1. Introduction.- 2. Physical Concepts and Exact Results.- 2.1. Basic Concepts for Coulomb Systems.- 2.2. Survey of Exact Quantum-Mechanical Results for Coulomb Systems.- 2.3. Survey of Exact Quantum-Statistical Results for Macroscopic Coulomb Systems.- 3. Quantum Statistics of Many-Particle Systems.- 3.1. Elements of Quantum Statistics.- 3.2. The Method of Green’s Functions in Quantum Statistics.- 3.3. Quantum Statistics of Charged Many-Particle Systems.- 4. Application of the Green’s Function Technique to Coulomb Systems.- 4.1. Types of Different Approximations.- 4.2. Dielectric Properties of Charged Particle Systems. Random Phase Approximation.- 4.3. Single-Particle Excitations.- 4.5. Dielectric Function Including Bound States.- 5. Equilibrium Properties in Classical and Quasiclassical Approximation.- 5.1. The One-Component Plasma Model.- 5.2. Many-Component Systems. Slater Sums.- 5.3. The Pair Distribution Function.- 5.4. Thermodynamic Functions.- 6. Quantum-Statistical Calculations of Equilibrium Properties.- 6.1. Equation of State in the Screened Ladder Approximation.- 6.2. Density and Chemical Potential in the Screened Ladder Approximation.- 6.3. One-Component Plasmas.- 6.4. Electron-Hole Plasmas.- 6.5. Hydrogen Plasmas.- 6.6. Alkali Plasmas and Noble Gas Plasmas.- 7. Transport Properties.- 7.1. Linear Response Theory.- 7.2. Evaluation of Collision Integrals Using Green’s Functions.- 7.3. Further Improvements of the Transport Theory.- 8. Green’s Function Approach to Optical Properties.- 8.1. General Formalism.- 8.2. Evaluation of Line Shift and Broadening.- 8.3. Further Approaches and Concluding Remarks.- 9. References.- 10. Subject Index.