
INTRODUCTION TO MANY BODY THEORY
Second cycle degree in PHYSICS
Campus:
PADOVA
Language:
English
Teaching period:
Second Semester
Lecturer:
PIER LUIGI SILVESTRELLI
Number of ECTS credits allocated:
6
Prerequisites:

Metodi Matematici 
Examination methods:

Oral exam and homework exercises. 
Course unit contents:

Secondquantization formalism.
Singleparticle and twoparticle operators in second quantization.
Hamiltonian of Coulomb systems.
Twopoint Green functions; expectation value of a singleparticle
operator, groundstate energy, Lehmann representation.
Adiabatic theorem and perturbative evaluation of the ground state.
Wick's theorem and Feynman diagrams for fermionic systems at T=0.
Selfenergy, polarization diagrams (effective interaction), Dyson's
equations.
Groundstate energy of the degenerate electron gas ("jellium" model)
in the ring approximation (RPA).
Linearresponse theory; applications:
screening of the electric charge (Friedel oscillations),
plasma oscillations, electronic scattering cross section for the
inelastic electron scattering.
Interacting Bose systems at T=0.
Temperature Green's functions: WickMatsubara' theorem and
Feynman diagrams. 

