Affiliation:
1. Bogaziçi University, Physics Department, Bebek 80815, Istanbul, Turkey
Abstract
We define a 3-generator algebra obtained by replacing the commutators with anticommutators in the defining relations of the angular momentum algebra. We show that integer spin representations are in one to one correspondence with those of the angular momentum algebra. The half-integer spin representations, on the other hand, split into two representations of dimension [Formula: see text]. The anticommutator spin algebra is invariant under the action of the quantum group SO q(3) with q=-1.
Publisher
World Scientific Pub Co Pte Lt
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Cited by
6 articles.
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