Integrity bases for tensors of type (GAMMA)(,r) whose components are polynomials in the components of tensors of type (GAMMA)(,5) ((GAMMA)(,6) for ('(d))O) are given explicitely for the double tetrahedral and octahedral point groups (('(d))T and ('(d))O), where the main axis of symmetry is trigonal. We formulate analytic basis states for the decomposition of SU(2) through the chain ('(d))T (R-HOOK) ('(d))C(,3) (R-HOOK) ('(d))C(,1) and use them to construct the Racah algebra. / A method is given for deriving branching rules, in the form of generating functions, for the decomposition of representations of SU(3) into representations of its finite subgroups. Interpreted in terms of an integrity basis, the generating functions define analytic polynomial basis states for SU(3) which respect the finite subgroup.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.68688 |
| Date | January 1982 |
| Creators | Desmier, Paul Edmond. |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (Department of Physics) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 000150827, proquestno: AAINK61105, Theses scanned by UMI/ProQuest. |
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