Anyons as quon particles
V.Bardek, M.Doresic, S.Meljanac

TL;DR
This paper develops a momentum operator framework for nonrelativistic anyons within the Chern-Simons theory and links them to q-deformed bosonic algebra, advancing understanding of fractional statistics.
Contribution
It introduces a momentum operator representation for anyons and connects them to q-deformed bosonic algebra, providing a new mathematical perspective.
Findings
Established the momentum operator representation of anyons.
Linked anyons to q-deformed bosonic algebra.
Enhanced theoretical understanding of fractional statistics.
Abstract
The momentum operator representation of nonrelativistic anyons is developed in the Chern - Simons formulation of fractional statistics. The connection between anyons and the q-deformed bosonic algebra is established.
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