A representation of angular momentum (SU(2)) algebra
Wu-Sheng Dai, Mi Xie
TL;DR
This paper develops a novel operator-based representation of the SU(2) angular momentum algebra using Gentile statistics, revealing underlying connections between quantum state occupation and angular momentum algebra.
Contribution
It introduces a new operator realization of Gentile statistics and links it to the SU(2) algebra, providing a fresh perspective on angular momentum representations.
Findings
Established a connection between Gentile statistics and SU(2) algebra.
Provided an operator realization of Gentile statistics.
Revealed underlying relationships between quantum occupation and angular momentum.
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 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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