Course detail

Concepts in Solid State Theory

FSI-9TPLAcad. year: 2022/2023

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

Mode of study

Not applicable.

Guarantor

prof. RNDr. Petr Dub, CSc.

Department

Institute of Physical Engineering (ÚFI)

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

Co-requisites

Not applicable.

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.

Course curriculum

Not applicable.

Work placements

Not applicable.

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.

Specification of controlled education, way of implementation and compensation for absences

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

E. N. Economu, Green’s functions in quantum mechanics. Springer 1979. (EN)
J. Celý, Kvazičástice v pevných látkách. VUTIUM, Brno 2004. (CS)
J. M. Ziman, Principles of the Theory of Solids. CUP 1972. (EN)
L. Bányai, A compendium of Solid state theory, Springer, 2018 (EN)
M. L. Cohen, S. G. Louie, Fundamentals of Condesed matter physics. CUP, 2016 (EN)
M. S. Dresselhaus, G. Dresselhaus, Ado Jorio, Group Theory: Application to the Physics of Condensed Matter. Springer 2008. (EN)
O. Litzman, I. Sekanina, Užití grup ve fyzice. Academia, Praha 1982. (CS)
S. C. Altman, Band theory of Solids. An introduction from the point of view of symmetry. Clarendom Press. Oxford 1991. (EN)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme D-FIN-K Doctoral 1 year of study, winter semester, recommended course
  • Programme D-FIN-P Doctoral 1 year of study, winter semester, recommended course

Type of course unit

 

Lecture

20 hod., optionally

Teacher / Lecturer

prof. RNDr. Petr Dub, CSc.

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.