Fractional statistic

We improve Haldane's formula which gives the number of configurations for $N$ particles on $d$ states in a fractional statistic defined by the coupling $g=l/m$. Although nothing is changed in the thermodynamic limit, the new formula makes sense for finite $N=pm+r$ with $p$ integer and $0<r\l...

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Bibliographic Details
Main Author Bergère, M. C
Format Journal Article
LanguageEnglish
Published 16.04.1999
Subjects
Physics - Disordered Systems and Neural Networks
Physics - Materials Science
Physics - Mesoscale and Nanoscale Physics
Physics - Other Condensed Matter
Physics - Quantum Gases
Physics - Soft Condensed Matter
Physics - Statistical Mechanics
Physics - Strongly Correlated Electrons
Physics - Superconductivity
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Summary:We improve Haldane's formula which gives the number of configurations for $N$ particles on $d$ states in a fractional statistic defined by the coupling $g=l/m$. Although nothing is changed in the thermodynamic limit, the new formula makes sense for finite $N=pm+r$ with $p$ integer and $0<r\leq m.$ A geometrical interpretation of fractional statistic is given in terms of ''composite particles''.
Bibliography:SPhT-T99/035
DOI:10.48550/arxiv.cond-mat/9904227