A representation of angular momentum (SU(2)) algebra
Statistical Mechanics
2015-06-24 v3
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.
Cite
@article{arxiv.cond-mat/0309299,
title = {A representation of angular momentum (SU(2)) algebra},
author = {Wu-Sheng Dai and Mi Xie},
journal= {arXiv preprint arXiv:cond-mat/0309299},
year = {2015}
}
Comments
7 pages, to appear in Physica A. v2:some typos corrected. v3: Eq.(18) is corrected