Course detail
Concepts in Solid State Theory
FSI-9TPLAcad. year: 2024/2025
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
Department
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.
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.
Study aids
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)
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
Type of course unit
Lecture
20 hod., optionally
Teacher / Lecturer
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.
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.