
Course unit
INTRODUCTION TO MANY BODY THEORY
SCP7081699, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Core courses 
FIS/03 
Material Physics 
6.0 
Course unit organization
Period 
Second semester 
Year 
1st Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Lecture 
6.0 
48 
102.0 
No turn 
Examination board
Board 
From 
To 
Members of the board 
3 INTRODUCTION TO MANY BODY THEORY 
01/10/2019 
30/11/2020 
SILVESTRELLI
PIER LUIGI
(Presidente)
ANCILOTTO
FRANCESCO
(Membro Effettivo)
DELL'ANNA
LUCA
(Supplente)

2 INTRODUCTION TO MANY BODY THEORY 
01/10/2018 
30/11/2019 
SILVESTRELLI
PIER LUIGI
(Presidente)
ANCILOTTO
FRANCESCO
(Membro Effettivo)
DELL'ANNA
LUCA
(Supplente)

Prerequisites:

Metodi Matematici 
Target skills and knowledge:

The course aims at introducing the techniques, based on the
nonrelativistic quantumfield theory, which allow to determine
the statistical quantummechanical behavior of matter. 
Examination methods:

Oral exam and homework exercises. 
Assessment criteria:

Basic theoretical knowledge and successful application of the formalism to interesting physical systems. 
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. 
Textbooks (and optional supplementary readings) 

A.L. Fetter, J.D. Walecka, Quantum theory of manyparticle system. NewYork: MCGrawHill, .


