# Green's Functions in Quantum Chemistry - Physical interpretation of the one- and two-body self-energy - Lowdin partitioning technique - Definition of the Green's function - Dyson equation - Matrix representation of G - Example for the HF Green's function - Solving the Dyson equation (diagonal approximation, linearization, etc) - Renormalization factor and spectral function - Example of self-energy: the GW self-energy - GW quasiparticle and satellites - RPA problem - Self-consistent procedure and approximations (G0W0, evGW, qsGW) - Algorithm