dorsal/arxiv
View SchemaSymmetric Multiplets in Quantum Algebras
| Authors | L. C. Kwek, C. H. Oh, K. Singh |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9608017 |
| URL | https://arxiv.org/abs/q-alg/9608017 |
| DOI | 10.1142/S0217732396002186 |
Abstract
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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"abstract": "We consider a modified version of the coproduct for $\\U(\\su_q(2))$ and show\nthat in the limit when $q \\rightarrow 1$, there exists an essentially\nnon-cocommutative coproduct. We study the implications of this\nnon-cocommutativity for a system of two spin-$1/2$ particles. Here it is shown\nthat, unlike the usual case, this non-trivial coproduct allows for symmetric\nand anti-symmetric states to be present in the multiplet. We surmise that our\nanalysis could be related to the ferromagnetic and antiferromagnetic cases of\nthe Heisenberg magnets.",
"arxiv_id": "q-alg/9608017",
"authors": [
"L. C. Kwek",
"C. H. Oh",
"K. Singh"
],
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"q-alg",
"math.QA"
],
"doi": "10.1142/S0217732396002186",
"title": "Symmetric Multiplets in Quantum Algebras",
"url": "https://arxiv.org/abs/q-alg/9608017"
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