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PH5003   Group Theory

Academic year(s): 2018-2019

Key information

SCOTCAT credits : 15

ECTS credits : 7

Level : SCQF Level 11

Semester: Both

Availability restrictions: Normally only taken in the final year of an MPhys or MSci programme involving the School

Planned timetable: 12.00 noon Wed, Fri, 3.00 pm Mon (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 connectedness, 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.

Relationship to other modules

Pre-requisite(s): Before taking this module you must ( pass PH2011 and pass PH2012 ) and pass MT2001 or ( pass MT2501 and pass MT2503 ) and pass PH3081 or pass PH3082 or ( pass MT2506 and pass MT2507 ) and pass PH3061 and pass PH3062. Pre-requisites are compulsory unless you are on a taught postgraduate programme.

Learning and teaching methods and delivery

Weekly contact: 3 lectures or tutorials.

Scheduled learning hours: 32

Guided independent study hours: 118

Assessment pattern

As used by St Andrews: 2-hour Written Examination = 100%

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

Re-assessment: Oral Re-assessment, capped at grade 7

Additional information from school

Please see also the information in the School's Handbook for Honours modules available via This link also gives access to timetables for the modules.


Module coordinator: Prof J F Cornwell
Module teaching staff: Prof J Cornwell