Advanced Quantum Mechanics of Many-Body Systems 1100-4AQMMBS

1. Quantum mechanics of many-body systems; fermions and bosons.
2. Second quantization; field operators.
3. Green's and correlation functions and their applications.
4. Spontaneous symmetry breaking, mean-field theory.
5. Perturbation theory, Feynman diagrams.
6. Linear response theory.
7. Electromagnetic field quantization.

Main fields of studies for MISMaP

physics

Mode

Classroom

Prerequisites (description)

Knowledge of classical mechanics, quantum mechanics, electrodynamics, basis of statistical physics and thermodynamics, complex variable calculus, differential and integral calculus, matrix calculus, Fourier transforms.

Course coordinators

Paweł Jakubczyk

Learning outcomes

Knowledge:
- knowledge of second quantization formalism
- knowledge of Green's functions and correlation functions
Skills:
- solving stndard problems of nonrelativistic quantum mechanics of many-body systems
- description of physical phenomena in terms of simple mathematical models and correlation functions
- solving problems using field operators

Assessment criteria

- written test
- written exam
- oral exam

Bibliography

A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particle Systems
H. Bruus, K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics
A. Altland, B. Simons Condensed Matter Field Theory
J.W. Negele, H. Orland, Quantum many-paricle systems
R.D. Mattuck, A guide to Feynman diagrams in the many-body problems
S.M. Barnett, Quantum information

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 1100-4AQMMBS in USOSweb