Academic year(s): 2018-2019
SCOTCAT credits : 15
ECTS credits : 7
Level : SCQF Level 11
Availability restrictions: Normally only taken in the final year of an MPhys or MSci programme involving the School
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.
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.
Weekly contact: 3 lectures or tutorials.
Scheduled learning hours: 32
Guided independent study hours: 118
As used by St Andrews: 2-hour Written Examination = 100%
As defined by QAA
Written examinations : 100%
Practical examinations : 0%
Re-assessment: Oral Re-assessment, capped at grade 7
Please see also the information in the School's Handbook for Honours modules available via https://www.st-andrews.ac.uk/physics/staff_students/timetables.php
This link also gives access to timetables for the modules.
Module coordinator: Prof J F Cornwell
Module teaching staff: Prof J Cornwell