1 General Aspects.- 1. The Concept of Statistical Physics.- 2. Summary of Quantum Theory.- 3. Quantum Theory in Liouville Space.- 4. Systems of Many Particles.- 5. Information-Theoretical Construction of the Statistical Operator.- 6. The Significance of Generalized Canonical Statistical Operators for Dynamic Processes.- 2 Response to Time-Dependent External Fields.- 7. The Quantum-Statistical Formulation of Response Theory.- 8. A Scalar Product in the Liouville Space for Linear Response Theory.- 9. Linear Response Theory.- 10. Quadratic Response Theory.- 3 Equations of Motion for Observables in the Case of Small Deviations from Equilibrium.- 11. Exact Integro-Dilferential Equations for Relaxation Processes.- 12. Perturbation-Theoretical Treatment of the Frequency and Memory Matrix.- 13. The Transition to Differential Equations with Damping.- 14. Time Derivatives as a Special Set of Observables.- 15. Dynamic Onsager—Casimir Coefficients as Linear Response Functions for Generalized Forces.- 16. Physical Examples.- 4 Equations of Motion of the Relevant Parts of the Statistical Operator.- 17. Mappings of the Statistical Operator onto a Relevant Part.- 18. The Generalized Canonical Statistical Operator ?(t) as ?rel (t).- A. Equivalence of the Nakajima—Zwanzig Equation and the Generalized-Operator Langevin Equation.- B. Symmetries.- B.1.1 Properties of D(g).- B.1.2 Selection Rules.- B.2.2 Symmetry Properties Resulting from Time-Reversal Invariance.- Solutions to the Exercises.

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