First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
THEORY OF STRONGLY CORRELATED SYSTEMS
SCP7081742, A.A. 2018/19

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. 2018/19
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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 THEORY OF STRONGLY CORRELATED SYSTEMS
Website of the academic structure http://physics.scienze.unipd.it/2018/laurea_magistrale
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge LUCA DELL'ANNA FIS/03

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
SCP7081742 THEORY OF STRONGLY CORRELATED SYSTEMS LUCA DELL'ANNA SC2382

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines FIS/03 Material Physics 6.0

Course unit organization
Period First semester
Year 2nd Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 01/10/2018
End of activities 18/01/2019

Examination board
Examination board not defined

Syllabus
Target skills and knowledge: Learning of some phenomena in condensed matter physics by means of the path integral approach
Examination methods: Oral examination
Assessment criteria: Knowledge of the topics of the course, ability of analytic calculus and oral exposition.
Course unit contents: Part 1: Introduction to the path integral
- Brief review of quantum mechanics for single particle and identical particles
- Second quantization: annihilation and creation operators
- Single-particle and double-particle operators
- Bosonic coherent states
- Grassmann algebra
- Fermionic coherent states
- Gaussian integrals with complex and grassmannian variables
- Feynmann integrals
- Patition function and imaginary time
- Equation of motion and stationary phase approximation
- Application of Feynman integrals for a double-well: instanton gas
- Functional integrals with coherent states
- Interacting particles: perturbation theory
- Functional integral for the electromagnetic field

Part 2: Applications
- Coulomb gas
* Perturbative approach
* Random Phase Approximation
* Functional integral method
- Non-interacting bosons: Bose-Einsten condensation
- Goldstone theorem
- Interacting bosons: Superfluidity
* Bogoliubov spectrum
* Landau criterion
* Action for the Goldstone mode
* Phenomenology
- Superconductivity
* Phenomenology and London equations
* Electron-phonon interaction
* Cooper problem
* BCS theory by functional approach: gap equation and critical temperature
* Ginzburg-Landau theory
* Action for the Goldstone mode
* Meissner effect and Higgs mechanism
Planned learning activities and teaching methods: Lectures on blackboard
Textbooks (and optional supplementary readings)
  • J.W. Negele, H. Orland, Quantum Many-Particle Systems. --: --, --. Cerca nel catalogo
  • N. Nagaosa, Quantum Field Theory in Condensed Matter Physics. --: --, --. Cerca nel catalogo
  • A. Altland, B. Simons, Condensed Matter Field Theory. --: --, --. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Questioning
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)