Course detail
Concepts in Solid State Theory
FSI-9TPL Acad. year: 2022/2023 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
Supervisor
Department
Learning outcomes of the course unit
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.
Prerequisites
Solid state physics course
Planned learning activities and teaching methods
The course is taught through lectures explaining the basic principles and theory of the discipline, or through individual discussions with students.
Assesment methods and criteria linked to learning outcomes
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.
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.