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

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

2003-09-12

arxiv.org/abs/cond-mat/0309299v3

Physica A331 (2004) 497

Physics

Condensed Matter

Statistical Mechanics

7 pages, to appear in Physica A. v2:some typos corrected. v3: Eq.(18) is corrected

Scientific paper

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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