Classical phase space and statistical mechanics of identical particles

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

Published 2000-03-27Version 1

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.