FYSS7630 Many-particle Quantum Mechanics (12 cr)

Study level:
Advanced studies
Grading scale:
0-5
Language:
English
Responsible organisation:
Department of Physics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023, 2023-2024

Description

  • Second quantisation and Fock space

  • Time-ordering and evolution operators

  • Contour formalism for nonequilibrium systems

  • Many-body Green’s functions and Martin-Schwinger hierarchy

  • Feynman diagrams, skeleton graphs

  • Conserving many-body approximations

  • Kadanoff-Baym equations

  • Linear response theory

  • Spectral functions

  • Many-body applications to the electron gas 

Learning outcomes

At the end of this course, students will be able to

  • Explain second quantisation, Fock space and field operators

  • Explain the connection between time-ordering and evolution operators

  • Describe the contour formalism for non-equilibrium systems

  • Explain the use of many-body Green’s functions and the Martin-Schwinger hierarchy equations

  • Do calculations with Feynman diagrams

  • Use linear response theory

  • Explain the concept of conservation laws in many-body language

  • Study various new topics in many-body theory

  • Write a report on a topic related to many-body theory 

Description of prerequisites

Good knowledge of quantum mechanics.

Study materials

Stefanucci & van Leeuwen: Non-equilibrium Many-Body Theory of Quantum Systems - A Modern Introduction.

Literature

  • Stefanucci & van Leeuwen: Non-equilibrium Many-Body Theory of Quantum Systems - A Modern Introduction

Completion methods

Method 1

Description:
Given every two years.
Evaluation criteria:
Grade is based on exercises and project report (e.g. exercises 50 % and report 50 %).
Time of teaching:
Period 1, Period 2
Select all marked parts
Parts of the completion methods
x

Teaching (12 cr)

Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
Grade is based on exercises and project report (e.g. exercises 50 % and report 50 %).
Language:
English
Study methods:

Lectures, exercises, small project and reporting. 

No published teaching