• Corpus ID: 119306005

On the combinatorics of exclusion in Haldane fractional statistics

@article{Fahssi2018OnTC,
  title={On the combinatorics of exclusion in Haldane fractional statistics},
  author={Nour-Eddine Fahssi},
  journal={arXiv: Statistical Mechanics},
  year={2018}
}
This paper is a revision of the combinatorics of fractional exclusion statistics (FES). More specifically, the following exact statement of the generalized Pauli principle is derived: for an $N$-particles system exhibiting FES of extended parameter $g=q/r$ ($q$ and $r$ are co-prime integers such that $0 < q \leq r$), we found that the allowed occupation number of a state is smaller than or equal to $r-q+1$ and \emph{not} to $1/g$ whenever $q\neq 1$ and, moreover, the global occupancy shape… 

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