Generalized Quon Statistics

TL;DR

This paper introduces generalized quon statistics that interpolate between various quantum statistics, derived from R-matrix deformed algebras, and explores their properties and physical implications.

Contribution

It proposes a new class of generalized quons based on R-matrix approach, extending the framework of quantum statistics and analyzing their properties and limits.

Findings

Generalized quons share main properties with standard quons.

A new form of the number operator for generalized quons is derived.

Physical features of generalized quons are discussed in the limit where parameters approach unity.

Abstract

Generalized quons interpolating between Bose, Fermi, para-Bose, para-Fermi, and anyonic statistics are proposed. They follow from the R-matrix approach to deformed associative algebras. It is proved that generalized quons have the same main properties as quons. A new result for the number operator is presented and some physical features of generalized quons are discussed in the limit $|q_{ij}^{2}| \rightarrow 1$.