Symmetric Multiplets in Quantum Algebras

Details Symmetric Multiplets in Quantum Algebras Symmetric Multiplets in Quantum Algebras

1996-08-21

arxiv.org/abs/q-alg/9608017v1

Mathematics

Quantum Algebra

Needs subeqnarray.sty. To be published in Mod Phys Lett. A

Scientific paper

10.1142/S0217732396002186

We consider a modified version of the coproduct for $\U(\su_q(2))$ and show that in the limit when $q \rightarrow 1$, there exists an essentially non-cocommutative coproduct. We study the implications of this non-cocommutativity for a system of two spin-$1/2$ particles. Here it is shown that, unlike the usual case, this non-trivial coproduct allows for symmetric and anti-symmetric states to be present in the multiplet. We surmise that our analysis could be related to the ferromagnetic and antiferromagnetic cases of the Heisenberg magnets.

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