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Classical phase space and statistical mechanics of identical particles

T. H. Hansson·S. B. Isakov·J. M. Leinaas·U. Lindstrom
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Abstract

Starting from the quantum theory of identical particles, we show how to define a classical mechanics that retains information about the quantum statistics. We consider two examples of relevance for the quantum Hall effect: identical particles in the lowest Landau level, and vortices in the Chern-Simons Ginzburg-Landau model. In both cases the resulting {\em classical} statistical mechanics is shown to be a nontrivial classical limit of Haldane's exclusion statistics.

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T. H. Hansson, S. B. Isakov, J. M. Leinaas, U. Lindstrom. 2000-03-27. Classical phase space and statistical mechanics of identical particles. https://doi.org/10.1103/physreve.63.026102

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