Abstract
Starting with the Wigner–Eckart theorem about the OSP(1,2) irreducible tensor [J. Phys. A: Math Gen. 20, 5423 (1987)], the OSP(1,2) Wigner operator and Racah operator are studied, their general definitions, orthogonality properties, and coupling laws are given, and the connections between them and the corresponding operators of the SO(3) algebra are established. The results obtained in this paper are a natural development of the authors’ theory on the OSP(1,2) irreducible tensor.
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