A representation of angular momentum (SU(2)) algebra
arXiv:cond-mat/0309299 · doi:10.1016/j.physa.2003.07.005
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.
7 pages, to appear in Physica A. v2:some typos corrected. v3: Eq.(18) is corrected
Cited by in corpus (10)
- Intermediate-statistics quantum bracket, coherent state, oscillator, and representation of angular momentum (su(2)) algebra
- Calculating statistical distributions from operator relations: the statistical distributions of various intermediate statistics
- -deformed description of excitons and associated physical results
- Canonical partition functions: ideal quantum gases, interacting classical gases, and interacting quantum gases
- Intermediate-statistics spin waves
- An intermediate distribution between Gaussian and Cauchy distributions
- A statistical mechanical approach to restricted integer partition functions
- Intermediate symmetric construction of transformation between anyon and Gentile statistics
- Non-standard Schwinger fermionic representation of unitary group
- Unified framework for generalized quantum statistics: canonical partition function, maximum occupation number, and permutation phase of wave function