JS & SS Mathematics )

**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:**

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

Oct 11, 2000

File translated from T

On 11 Oct 2000, 11:51.