Classical phase space and statistical mechanics of identical particles

Details Classical phase space and statistical mechanics of identical particles Classical phase space and statistical mechanics of identical particles

2000-03-27

arxiv.org/abs/quant-ph/0003121v1

Physics

Quantum Physics

40 pages, Latex

Scientific paper

10.1103/PhysRevE.63.026102

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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