• Dipartimento: Scienze Matematiche, Fisiche E Naturali
  • Settore Ministeriale: FIS/03
  • Codice di verbalizzazione: 8065970
  • Metodi di insegnamento: Frontale
  • Metodi di valutazione: Scritto E Orale
  • Prerequisiti: struttura della materia, meccanica quantistica
  • Obiettivi: Second Quantization. Basics on Hubbard Model.  Quantum phases. Interaction Picture.Applications: -Fano-Anderson-model, Fano self-energy, Newns model  . Kondo   effect Green’s functions. Lippmann-Schwinger equation. Embedding. Retarded,advanced, time-ordered functions. Examples: tight-binding solids, bipartite lattices, density of states, Graphene, carbon nanotubes. Kubo formulas. Lehmann representation . Fluctuation-dissipation theorem. Applications to ESCA, Auger Spectroscopy (Cini-Sawatzky theory ). Recurrence techniques (Lanczos Haydock , etc). Equations of Motion. Ground State Energy. Quantum transport-Landauer formula.  Partition-free time dependent formulation.  Wick'€™s theorem.  Vacuum diagrams and linked cluster theorem. Lundqvist model. Cumulant expansion Feynman method, diagram rules,  Dyson equation. Resistivity in metals. Skeleton diagrams.Bethe-Salpeter equation -High density electron gas, Drude and Lindhard dielectric functions;Low density Fermi gas and spectroscopic applications. Functional derivatives. Polarization bubble. GW approximation. Hedin equations. Conserving Approximations.Ward Identities. Group representations. Great Orthogonality Theorem. Orthogonality of Characters Applications to orbitals and vibrations. Space-time symmetries of Bloch states. Space Groups . Young diagrams. Tensors. Direct product. Double Groups-. Jahn-Teller effects. Vibronic Coupling. Berry Phase, polarization of insulators.
  • Ricevimento: lunedi e mercoledi 14-16


  • A.A.: 2012/2013
  • Canale: UNICO
  • Crediti: 6