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A representation of angular momentum (SU(2)) algebra

Wu-Sheng Dai·Mi Xie
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Abstract

This paper seeks to construct a representation of the algebra of angular momentum (SU(2) algebra) in terms of the operator relations corresponding to Gentile statistics in which one quantum state can be occupied by $n$ particles. First, we present an operator realization of Gentile statistics. Then, we propose a representation of angular momenta. The result shows that there exist certain underlying connections between the operator realization of Gentile statistics and the angular momentum (SU(2)) algebra.

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Wu-Sheng Dai, Mi Xie. 2004-12-01. A representation of angular momentum (SU(2)) algebra. https://doi.org/10.1016/j.physa.2003.07.005

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