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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