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Elsevier, Physica A: Statistical Mechanics and its Applications, 8(389), p. 1565-1570

DOI: 10.1016/j.physa.2009.12.042

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The relation between properties of Gentile statistics and fractional statistics of anyon

Journal article published in 2010 by Yao Shen, Qing Ai ORCID, Gui Lu Long ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

In this paper, we discuss the relationship of two kinds of intermediate-statistics, the Gentile statistics and the fractional statistics of anyons. The anyon winding number representation is introduced. We construct the transformation between anyon winding number representation and the occupation number representation of particles of Gentile statistics. We study intermediate-statistics quantum bracket and coherent states for anyons in the winding number representation. We demonstrate that anyons can be simulated by Gentile statistics with a geometric phase.