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. Language: English