Generalized Fractional Statistics
G. Kaniadakis, A. Lavagno, P. Quarati

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.
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