Fiches de cours 2017-2018

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Quantum physics IV

PHYS-426

Enseignant(s) :

Vichi Alessandro

Langue:

English

Summary

Introduction to the path integral formulation of quantum mechanics. Derivation of the perturbation expansion of Green's functions in terms of Feynman diagrams. Several applications will be presented, including non-perturbative effects, such as tunneling and instantons.

Content

1. Path Integral formalism

2. Perturbation theory

3. Seminclassical approximation

4. Non perturbative effects

5. Interaction with external magnetic field

Keywords

Path integral formalism. Green's function. Determinants. Feynman diagram. Feynman rules. Perturbation theory. Non-perturbative effects. Tunnelling. Instantons. Gauge-invariance. 

Learning Prerequisites

Recommended courses

Quantum physics I and II

Quantum Field Theory I

Important concepts to start the course

Solid knowledge and practice of calculus (complex variable) and linear algebra

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Ex cathedra and exercises

Expected student activities

Participation to classes. Solving problem sets during exercise hours.

Assessment methods

Oral final exam

Supervision

Office hours Yes
Assistants Yes
Forum No
Others Office hours: Wednesday 14-15

Resources

Bibliography

"Quantum Mechanics and Path Integrals" , R.P. Feynman and A.R. Hibbs, McGraw-Hill, 1965.

"Techniques and applications of Path Integration',  L.S. Schulman, John Wiley & Sons Inc., 1981.

"Path Integral Methods and Applications", R. MacKenzie, arXiv:quant-ph/0004090.

"Modern Quantum Mechanics',  J.J. Sakurai, The Benjamin/Cummings Publishing Company, 1985.

"Aspects of Symmetry", S.  Coleman, Cambridge University Press, 1985.

"Path Integrals in Quantum Mechanics, Statistics and Polymer Physics', Hagen Kleinert, World Scientific, 1995.

 

Ressources en bibliothèque
Notes/Handbook

Prof R. Rattazzi: Lecture Notes for Quantum Mechanics IV 

http://itp.epfl.ch/webdav/site/itp/users/174685/private/RevisedLectureNotesV2.pdf

 

Dans les plans d'études

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
En construction
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand