On the structure of tensor operators in SU3 |
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| Authors: | L. C. Biedenharn Daniel E. Flath |
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| Affiliation: | (1) Department of Physics, Duke University, 27706 Durham, NC, USA;(2) Department of Mathematics, Duke University, 27706 Durham, NC, USA |
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| Abstract: | A global algebraic formulation of SU3 tensor operator structure is achieved. A single irreducible unitary representation (irrep),V, ofso(6, 2) is constructed which contains every SU3 irrep precisely once. An algebra of polynomial differential operatorsA acting onV is given. The algebraA is shown to consist of linear combinations of all SU3 tensor operators with polynomial invariant operators as coefficients. By carrying out an analysis ofA, the multiplicity problem for SU3 tensor operators is resolved.Supported in part by the National Science Foundation |
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