Notes by Luca Guido Molinari
Notes for the course of Many Body Theory
Zero Temperature
Notes on Wick's theorem in many-body theory arXiv:1710.09248v2 (2023)
Another proof of the Gell-Mann and Low theorem (arXiv, 2006),
Wikipedia , J. Math. Phys. 48 (5), 052113 (2007)
A derivation of Hedin's equations (2017) , Hedin's equations and enumeration of Feynman diagrams, PRB 71, 113102 (2005), Enumeration of many-body skeleton diagrams, EPJB 51, 331-336 (2006)
Second quantization (aggiornato 2023)
The Hartree-Fock and Thomas-Fermi approximations, and the electron gas (aggiornato 2019)
Green functions
Feynman diagrams (2024)
Polarization (2023)
Notes on linear response and Lehmann's representation
Magnetism in noninteracting electron gas
Propagator and quasiparticles (versione 2023)
Elastic media and phonons
Finite Temperature
Notes on ideal quanum gases
Correlators, Matsubara frequencies etc.
Wick theorem at finite temperature
Thermal linear response
The conductivity tensor (vector potential and currents, linear response, a model with random scatterers, the Boltzmann equation
Notes on 1 particle scattering (and T-matrix)
Notes on superconductivity (an overview)
The Ginzburg-Landau theory of superconductivity (1950)
London vortices
BCS
Very preliminary notes on BEC and superfluids
The generating functional of thermal density correlators
The thermal functional integral for bosons
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