FB230 Green functions in modern condensed matter physics

Faculty of Science
Autumn 2010 - only for the accreditation
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.
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
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.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020.