10- Equations of motion for Green’s functions - Course on Quantum Many-Body Physics
Welcome to the course on Quantum Theory of Many-Body systems in Condensed Matter at the Institute of Physics - University of Sao Paulo (IF-USP). In this class, we will cover: Equations of motion for retarded Green’s functions. Zubarev notation. Example: resonant level model. 0:00 Introduction 1:48 Equations of motion for retarded Green's function 9:30 Equations of motion in frequency space 12:48 Free Hamiltonian model 15:43 Zubarev notation 19:52 Resonanl level model 24:26 Step 1: Commutators 39:24 Step 2: Equations of Motion 53:12 Spectral function 58:00 Fluctuation-dissipation theorem 1:01:26 Numerical example
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