Topics and Methods in Condensed Matter Theory

I-Introductory Many-Body Physics.- Basic Many-Body Quantum Mechanics.- Adiabatic Switching and Time-Ordered series.- Atomic Shells and Multiplets.- Green’s Functions as Thought Experiments.- Hopping Electron Models: an Appetizer.- Many-body Effects in Electron Spectroscopies.- Symmetry in Quantum Physics.- Group Representations for Physicists.- Simpler Uses of Group Theory.- Product of Representations and Further Physical Applications.- More on Green Function Techniques.- Equations of Motion and Further Developments.- Feynman Diagrams for Condensed Matter Physics.- Many-Body Effects and Further Theory.- Non-Equilibrium Theory.- Non-Perturbative Approaches and Applications.- Some Recursion Techniques with Applications.- Aspects of Nonlinear Optics and Many-Photon Effects.- Selected Exact Results in Many-Body Problems.- Quantum Phases.- Pairing from repulsive interactions.- Algebraic Methods.- Appendices.- Appendix 1: Zero-point Energy in a Pillbox.- Appendix II-Character Tables.- Proof of the Wigner-Eckart Theorem.