COURSE INFORMATION

  • Lecturer: Dr. György Kriza
  • Language: English
  • Schedule: 2 lectures/week
  • ECTS: 3 credits 

TOPICS / SYLLABUS

  • Fundamentals: symmetry point groups, important theorems for finite groups, representations, character tables
  • Vibrational Spectroscopy: selection rules, direct product representations, factor groups
  • Electronic Transitions: crystal field splitting, correlation diagrams
  • Symmetry of Crystal Lattices: space groups, crystallographic nomenclature, International Tables of Crystallography
  • Electronic States in Crystals: representations of space groups, compatibility rules

LITERATURE

  • G. Burns, Introduction to Group Theory with Applications (Academic Press, New York, 1977).
  • E. P. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra (Academic Press, New York, 1959).
  • L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, 3rd ed. (Pergamon Press, 1977).
  • L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1, 3rd ed. (Pergamon Press, 1980).

GENERAL INFORMATION

This lecture is primarily recommended for MSc Physicist students focusing on solid-state physics. The aim of the course is to demonstrate how group theory can be applied in various areas of solid-state physics research. Accordingly, the mathematical formalism is covered (or reviewed) only to the depth necessary for the applications. The primary focus is on the use of character tables and the conclusions that can be drawn from them through simple calculations.