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.
Categories: quant-ph cond-mat