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arXiv:quant-ph/0004108

Exclusion Statistics in Classical Mechanics

T. H. Hansson, SERGEI B. ISAKOV, Jon Magne Leinaas, Ulf Lindström

Published Apr 28, 2000• 2 citations
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Abstract

We present a general method to derive the classical mechanics of a system of identical particles in a way that retains information about quantum statistics. The resulting statistical mechanics can be interpreted as a classical version of Haldane's exclusion statistics.
DOI
10.48550/arxiv.quant-ph/0004108

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Assuming that the maximal allowed number of identical particles in a state is an integer parameter, q, we derive the statistical weight and analyze the associated equation that defines the statistical distribution. The derived distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases q=1 and q--> infinity (n(i)/q-->1), respectively. We show that the derived statistical weight provides a natural combinatorial interpretation of Haldane-Wu fractional exclusion statistics, and present exact solutions of the distribution equation.
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