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PřF:F8302 Collective and cooperative phe - Course Information

## F8302 Collective and cooperative phenomena

**Faculty of Science**

Spring 2015

**Extent and Intensity**- 2/1/0. 2 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
**Teacher(s)**- prof. Mgr. Dominik Munzar, Dr. (lecturer)

Mgr. Jiří Chaloupka, Ph.D. (seminar tutor)

prof. Mgr. Dominik Munzar, Dr. (seminar tutor)

Mgr. Břetislav Šopík, Ph.D. (seminar tutor) **Guaranteed by**- prof. RNDr. Michal Lenc, Ph.D.

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 **Timetable**- Tue 9:00–10:50 Fs2,04003, Tue 11:00–11:50 Fs2,04003
**Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with****Course objectives**- Introduction to collective and cooperative phenomena in condensed matter physics with emphasis on superconductivity. At the end of the course students should be able to understand the basic concepts of this field of physics such as the broken symmetry or the order parameter, to solve simple related problems, in particular from the field of superconductivity, to compare the results of model calculations with experimental data and/or analyze the data in terms of the models.
**Syllabus****1. Introduction.**- (a) Collective and cooperative phenomena in condensed matter physics. (b) Concept of broken symmetry.
**2. Bose-Einstein condensation and superfluidity.**- (a) Theoretical foundations. (b) Bose-Einstein condensation in atomic gases. (c) Superfluidity in liquid helium.
**3. Superconductivity.**- (a) Survey of experimental observations. (b) Thermodynamics of superconductors, London equations, fundamentals of the Ginzburg-Landau theory. (c) Fundamentals of the BCS theory. (d) Josephson phenomena in superconductors and in liquid He, quantum interference on a macroscopic scale. (e) High-temperature superconductors. (f) Selected applications of superconductivity.
**4. Magnetic interactions in solids.**- (a) Solid state Hamiltonian in the Wannier representation, approximate Hamiltonians: the Hubbard Hamiltonian, exchange terms connected with the first Hund's rule. (b) Derivation of the Heisenberg Hamiltonian for insulators. (c) Magnetism withoul localized spins.

**Literature****Teaching methods**- Lectures. Class seminars with solutions of typical problems presented and discussed.
**Assessment methods**- Active presence at the class exercises, including solution of a certain amount of problems (2-3) by the students, is required. During the colloquium, the topics of the course are discussed, in order to assess the student's knowledge, the evaluation reflects the degree of understanding.
**Language of instruction**- Czech
**Further Comments**- Study Materials

The course is taught annually.

- Enrolment Statistics (Spring 2015, recent)
- Permalink: https://is.muni.cz/course/sci/spring2015/F8302