Classical phase space and statistical mechanics of identical particles.
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 classical statistical mechanics is shown to be a nontrivial classical limit of Haldane's exclusion statistics.
Hansson
T H
TH
Department of Physics, University of Stockholm, P.O. Box 6730, S-11385 Stockholm, Sweden. hansson@physto.se
Isakov
S B
SB
Leinaas
J M
JM
Lindström
U
U