COURSE FY8104
Application of Symmetry Groups in Physics
Fall 2007
- Purpose:
The aim of this course is to give an introduction to
group theory and some of its applications in physics.
The course is lectured every second year.
- Teacher: Jan Myrheim,
E5-102, Lars Onsagers Hus (aka Realfagbygget), tel. 73 59 36 53
- Recommended text books:
Either:
Morton Hamermesh: Group Theory and its Applications
to Physical problems.
Or:
Michael Tinkham: Group Theory and Quantum Mechanics.
These two books from the 1960s exist in Dover editions
at about Nkr 200
The book used previously is unavailable (out of print):
T. Inui, Y. Tanabe and Y. Onodera: Group Theory and Its Applications in Physics
- Notes
Some notes (parts I, II, III, IV - that is now all).
Part I: Transformation groups and basic group theory
(ps file).
Part II: Linear representations of (mostly finite) groups
(ps file).
Part III: Linear Lie groups
(ps file).
Part IV: Classification of Lie algebras
(ps file).
- Contents (of previous years, may change somewhat this year):
Classes, cosets, factor groups. Irreducible and reducible representations. The character of
a representation. Point groups and product groups. Invariant tensors. Symmetry of the
Hamilton operator and corresponding perturbation term. Calculation of matrix elements.
Crystal field splitting. Optical spectra. Magnetic space groups. Ginzburg-Landau theory.
Selection rules. Hybridization. Lattice vibrations. Symmetry of energy bands in electrons.
Continuous groups and Lie groups.
- Lectures (4 hours/week):
Mondays 10:15-12:00 in room E5-103
Tuesdays 13:15-15:00 in room E5-103
- Problem sessions:
Problem 1 (ps file)
Problem 2 (ps file)
- Previous examination sets (in Norwegian)
December 1991
December 1993
December 1997 (tables missing)
with solution
December 1999
with solution
See also
74984 Anvendelse av symmetrigrupper
- Exam:
Written exam 09-13 on Friday, December 7, 2007.