Requirements/prerequisites: 441 at least concurrently

Duration: 21 weeks

Number of lectures per week: 3

Assessment:
End-of-year Examination: Examination in May/June

Description:

Introduction of group theory with applications to physics.

Basics of group theory - subgroup, invariant subgroup, costs, representations, etc. - illustrated by examples from discrete and continuous groups.

Lie groups and their associated Lie algebras.

Group representation theory - important in the application of group theory to quantum theory.

Group theory in quantum mechanics; examples taken from the permutation, rotation, Euclidean, Galilean, Lorentz, Poincaré and elementary particle symmetry groups.

Textbooks:

1. J.E.Cornwell, Group Theory in Physics, Vols I and II
2. E. P. Wigner, Group Theory
3. Howard Georgi, Lie Algebras in Particle Physics
4. Wu-Ti Tung, Group Theory in Physics, World Scientific, 1985

Oct 11, 2000