SO(2n+1) in an SO(2n-3)⊗SU(2)⊗SU(2) basis. II. Detailed study of the symmetric representations of the SO(7) group

Vanden Berghe, G and De Meyer, H and De Wilde, Philippe (1982) SO(2n+1) in an SO(2n-3)⊗SU(2)⊗SU(2) basis. II. Detailed study of the symmetric representations of the SO(7) group. Journal of Physics A: Mathematical and General, 15 (9). pp. 2677-2686. ISSN 0305-4470. (doi:https://doi.org/10.1088/0305-4470/15/9/018) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

Abstract

For pt.I see ibid., vol.15, p.2665-76 (1982). The SO(7) down arrow (SU(2))3 reduction is analysed in detail. Explicit forms for the different SU(2) generators and the remaining ones are derived. Using the results of the previous paper, basis states describing the symmetric irreducible unitary representations are introduced. Expressions for the reduced matrix elements of the occurring generators with respect to these basis states are determined.

Item Type: Article
Subjects: Q Science
Divisions: Faculties > Sciences > School of Computing > Computational Intelligence Group
Depositing User: Philippe De Wilde
Date Deposited: 21 Jul 2014 09:32 UTC
Last Modified: 08 May 2018 08:43 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/41764 (The current URI for this page, for reference purposes)
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