First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
INTRODUCTION TO MANY BODY THEORY
SCP7081699, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
PHYSICS
SC2382, Degree course structure A.Y. 2017/18, A.Y. 2017/18
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Degree course track PHYSICS OF THE FUNDAMENTAL INTERACTIONS [001PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination INTRODUCTION TO MANY BODY THEORY
Website of the academic structure http://fisica.scienze.unipd.it/2017/laurea_magistrale
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction English
Branch PADOVA

Lecturers
Teacher in charge PIER LUIGI SILVESTRELLI FIS/03

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
SCP7081699 INTRODUCTION TO MANY BODY THEORY PIER LUIGI SILVESTRELLI SC2382
SCP7081699 INTRODUCTION TO MANY BODY THEORY PIER LUIGI SILVESTRELLI SC2382

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses FIS/03 Material Physics 6.0

Mode of delivery (when and how)
Period Second semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018

Syllabus
Prerequisites: Metodi Matematici
Target skills and knowledge: The course aims at introducing the techniques, based on the
non-relativistic quantum-field theory, which allow to determine
the statistical quantum-mechanical behavior of matter.
Examination methods: Oral exam and home-work exercises.
Assessment criteria: Basic theoretical knowledge and successful application of the formalism to interesting physical systems.
Course unit contents: Second-quantization formalism.
Single-particle and two-particle operators in second quantization.
Hamiltonian of Coulomb systems.
Two-point Green functions; expectation value of a single-particle
operator, ground-state energy, Lehmann representation.
Adiabatic theorem and perturbative evaluation of the ground state.
Wick's theorem and Feynman diagrams for fermionic systems at T=0.
Self-energy, polarization diagrams (effective interaction), Dyson's
equations.
Ground-state energy of the degenerate electron gas ("jellium" model)
in the ring approximation (RPA).
Linear-response 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: Wick-Matsubara' theorem and
Feynman diagrams.
Textbooks (and optional supplementary readings)
  • A.L. Fetter, J.D. Walecka, Quantum theory of many-particle system. New-York: MCGraw-Hill, --.