University of St Andrews

Key information

SCOTCAT credits : 15

ECTS credits : 7

Level : SCQF level 11

Semester: 1

Planned timetable: TBC

This module explores the concept of a group, including groups of coordinate transformations in three-dimensional Euclidean space; the invariance group of the Hamiltonian operator; the structure of groups: subgroups, classes, cosets, factor groups, isomorphisms and homorphisms, direct product groups; introduction to Lie groups, including notions of connectness, compactness, and invariant integration; representation theory of groups, including similarity transformations, unitary representations, irreducible representations, characters, direct product representations, and the Wigner-Eckart theorem; applications to quantum mechanics, including calculation of energy eigenvalues and selection rules.

Learning and teaching methods and delivery

Weekly contact:

Scheduled learning hours: 32

Guided independent study hours: 118

Assessment pattern

As used by St Andrews:

As defined by QAA
Written examinations : 100%
Practical examinations : 0%
Coursework: 0%

Personnel