O(3) shift operators and the group SL(3,R)
- 1 May 1974
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 7 (7) , 779-786
- https://doi.org/10.1088/0305-4470/7/7/003
Abstract
A preliminary analysis of irreducible unitary representations of SL(3,R) is given using O(3) shift operator techniques similar to those used for treating SU(3) in an O(3) basis. A full analysis is given of the Delta l=2 representations, for which minimum l values of 0, 1/2 and 1 are found, but not the lmin=3/2 representations proposed by Biedenharn et al. (1972).Keywords
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