Parastatistics as Examples of the Extended Haldane Statistics

TL;DR

This paper demonstrates how to define extended Haldane statistical parameters for algebras with Fock-like representations, including parastatistics, and explores their implications for partition functions.

Contribution

It introduces a method to assign extended Haldane parameters to algebras with Fock-like representations, specifically applying it to parastatistics.

Findings

Extended Haldane parameters can be uniquely defined for these algebras.

Calculated extended Haldane parameters for parastatistics.

Discussed the impact on partition functions.

Abstract

We show that for every algebra of creation and annihilation operators with a Fock-like representation,one can define extended Haldane statistical parameters in a unique way. Specially for parastatistics, we calculate extended Haldane parameters and discuss the corresponding partition functions.