Generalized Fractional Statistics

TL;DR

This paper establishes a connection between fractional particle statistics and Tsallis statistics using a semiclassical approach, leading to a generalized quantum entropy framework.

Contribution

It introduces a novel link between fractional statistics and Tsallis statistics, deriving a generalized quantum entropy and associated statistical mechanics.

Findings

Derived a generalized quantum entropy from fractional statistics.

Linked fractional statistics to Tsallis statistics through semiclassical methods.

Proposed a new framework for generalized quantum statistics.

Abstract

We link, by means of a semiclassical approach, the fractional statistics of particles obeying the Haldane exclusion principle to the Tsallis statistics and derive a generalized quantum entropy and its associated statistics.