Course - Quantum Theory of Solids - TFY4210
Quantum Theory of Solids
Assessments and mandatory activities may be changed until September 20th.
About
About the course
Course content
Field quantization. Occupation number representation for nonrelativistic fermionic and bosonic many-particle systems. Interacting electron gas. Green's functions. Many-particle perturbation theory and Feynman diagrams. Lattice models for fermions and spins. The Hubbard model and the Heisenberg model. Spin-wave theory of ferro- and antiferromagnets. Electron-phonon coupling. The Cooper problem and the BCS theory of superconductivity.
Learning outcome
The students will obtain knowledge of key examples of field theories and lattice models for systems of interacting fermions, bosons, and spins, and learn to use relevant theoretical concepts and methods to analyze various aspects of these models.
More specifically, the students will:
- master the use of creation and annihilation operators for fermion and boson systems;
- master Fourier and Bogoliubov transformations for diagonalization of quadratic Hamiltonians;
- be introduced to many-particle Green functions and how these are related to various quantities of interest;
- get an introduction to many-particle perturbation theory, including Feynman diagrams;
- acquire knowledge about various other methods, e.g. spin wave theory;
- learn about key concepts, including quasiparticles, order parameters, and (broken) symmetries.
Learning methods and activities
Lectures and voluntary homework problems. The course will be given in English if students in the international master program in physics are attending the course. Expected workload in the course is 225 hours.
The course has joint lectures with FY8302.
Further on evaluation
The re-sit examination (in August) may be changed from written to oral. When lectures and lecture material are in English, the exam may be given in English only.
Recommended previous knowledge
The courses FY2045 and TFY4205 or equivalent.
Course materials
Information about relevant literature will be given at the start of the course.
Credit reductions
Course code | Reduction | From |
---|---|---|
SIF4047 | 7.5 sp | |
FY8916 | 7.5 sp | Autumn 2017 |
FY8302 | 7.5 sp | Autumn 2021 |
Subject areas
- Physics
- Technological subjects