Course detail

Concepts in Solid State Theory

FSI-9TPL Acad. year: 2024/2025 Winter semester

Group-theoretical methods in solid state physics. Collective excitations in solids. Green’s functions for solid state physics. Depending on the doctoral thesis, the topics may be modified.

Language of instruction

Czech

Entry knowledge

Solid state physics course

Rules for evaluation and completion of the course

The doctoral student prepares an essay on the topic related to the dissertation and then a debate is held to demonstrate the doctoral student's orientation in the concepts of condesed matter physics.

Aims

The aim of the course is to extend, supplement or deepen the knowledge of PhD students in the physics of solids in areas related to the topic of his / her dissertation.


PhD student gains insight into concepts of the theory of solids, such as the application of group theory, quasiparticle concept or application of Green functions.

The study programmes with the given course

Programme D-FIN-K: Physical Engineering and Nanotechnology, Doctoral, recommended course

Programme D-FIN-P: Physical Engineering and Nanotechnology, Doctoral, recommended course

Type of course unit

 

Lecture

20 hours, optionally

Syllabus

PhD student, who has completed inroductory solid state physics course, gains insight into concepts of the theory of solids, such as the application of group theory, quasiparticle concept or application of Green functions. Depending on the doctoral thesis, the topics may be modified.

Group-theoretical methods in solid state physics. Collective excitations in solids. Green’s functions for solid state physics. Depending on the doctoral thesis, the topics may be modified.
Group-theoretical methods in solid state physics.
Symmetry in physics. Group representations. Groups and quantum mechanics: Hamiltonian symmetry and classification of the energy levels, perturbation theory – splitting of energy levels, selection rules. Symmetry of crystals, spatial groups and their representations. Group theory and electronic structure of solids. Group theory and crystal lattice vibrations.

Green’s functions for solid state physics.
Green’s functions in the theory of differential equations. Oneparticle Green’s functions. Green's function and the density of states. Application of Green’s functions: scattering theory, crystals with point defects.