SU(3) in an O(3) basis: The use of non-scalar shift-operator products

H.E. De Meyer, G. Vanden Berghe and J.W.B. Hughes

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 294-296

Abstract: O(3) shift operators O±kl (k = 0, 1, 2) constructed by means of SU(3) generators, can be combined into bilinear forms which are non-scalar with respect to the O(3) subgroup. These are shown to satisfy simple relations which are of importance in deriving eigenvalue expressions of the scalar shift operator O0l for various irreducible representations (p, q) of SU(3). A case of three-fold l-degeneracy is solved explicitly.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:294-296

DOI: 10.1016/0378-4371(82)90300-4

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