Course - Quantum Theory of Solids - FY8302
FY8302 - Quantum Theory of Solids
About
Examination arrangement
Examination arrangement: School exam
Grade: Passed / Not Passed
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | C |
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. Squeezing of magnons. Electron-phonon and electron-magnon coupling. The Cooper-problem and the BCS-theory of superconductivity. Interacting Bose-systems
Learning outcome
The course will give the students an elaboration and more advanced treatment of the material in the courses FY2045/TFY4250 and TFY4205. 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 compulsory home work problems. The course will be given in English if students on the international master program in physics are attending the course. Expected work load in the course is 225 hours.
Compulsory assignments
- Exercise
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.
Specific conditions
Compulsory activities from previous semester may be approved by the department.
Admission to a programme of study is required:
Biophysics (PHBIFY)
Physics (PHFY)
Recommended previous knowledge
The courses FY2045 and TFY4205 or equivalent.
Course materials
A. L. Fetter and J. D. Walecka: Quantum theory of many-particle systems (Dover, 2003) C. Kittel: Quantum Theory of Solids (Second Revised printing (John Wiley & Sons, 1987). These are classic textbooks that cover the basics very well. A. Sudbø: Lecture notes on Quantum theory of solids, 2020.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| DIF4923 | 7.5 | ||
| TFY4210 | 7.5 | AUTUMN 2021 |
No
Version: 1
Credits:
7.5 SP
Study level: Doctoral degree level
Term no.: 1
Teaching semester: SPRING 2023
Language of instruction: English
Location: Trondheim
- Solid State Theory
- Solid State Physics
- Physics
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD School exam 100/100 C 2023-05-23 15:00 INSPERA
-
Room Building Number of candidates - Summer UTS School exam 100/100 C INSPERA
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"