Fractional statistic
M.C. Berg\`ere (CEA/Saclay, SPhT, France)

TL;DR
This paper refines Haldane's formula for fractional statistics, providing a finite-size correction and a geometric interpretation, enhancing understanding of particle configurations beyond the thermodynamic limit.
Contribution
The authors introduce a new finite-size formula for fractional statistics and offer a geometric interpretation using composite particles, extending prior theoretical frameworks.
Findings
New finite-size formula for fractional statistics
Geometric interpretation via composite particles
Consistency with thermodynamic limit results
Abstract
We improve Haldane's formula which gives the number of configurations for particles on states in a fractional statistic defined by the coupling . Although nothing is changed in the thermodynamic limit, the new formula makes sense for finite with integer and A geometrical interpretation of fractional statistic is given in terms of ''composite particles''.
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