#
PřF:FB230 Green functions in modern cond - Course Information

## FB230 Green functions in modern condensed matter physics

**Faculty of Science**

Autumn 2019

**Extent and Intensity**- 1/1. 1 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
**Teacher(s)**- prof. Mgr. Dominik Munzar, Dr. (lecturer)
**Guaranteed by**- prof. RNDr. Josef Humlíček, CSc.

Department of Condensed Matter Physics - Physics Section - Faculty of Science

Contact Person: prof. Mgr. Dominik Munzar, Dr.

Supplier department: Department of Condensed Matter Physics - Physics Section - Faculty of Science **Course Enrolment Limitations**- The course is offered to students of any study field.
**Course objectives**- At the end of the course students should understand the concept of Green's function, its relation to observable quantities, apply it in interpreting experimental data, express the Green's functions of interacting many particle systems in terms of Feynman diagrams and solve simple related problems.
**Syllabus**- 1. One-particle Green's function in case of a many-fermion system: definition, physical meaning, examples of spectral functions. 2. Feynman diagrams. 3. Green's function of jellium in the GW approximation. Applications. 4. Phonon Green's function: definition, physical meaning, examples of spectral functions. 5. Effect of the electron-phonon interaction on the Green's functions of electrons in solids. Engelsberg-Schrieffer model. 6. Matsubara Green's functions. 7. Green's functions in the theory of optical response.

**Literature**- MAHAN, Gerald D.
*Many-particle physics*. 3rd ed. New York: Kluwer Academic/Plenum publishers, 2000. xii, 785 s. ISBN 0-306-46338-5. info

- MAHAN, Gerald D.
**Teaching methods**- Lectures, where the topics are introduced, seminars, where solutions of related problems are presented and discussed.
**Assessment methods**- Colloquium. During the colloquium, the topics of the course, in particular those related to the problems solved by the student, are discussed, in order to assess student's knowledge. The final evaluation reflects the degree of understanding.
**Language of instruction**- Czech
**Further Comments**- The course is taught annually.

The course is taught: every week.

- Enrolment Statistics (Autumn 2019, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2019/FB230