Classical phase space and statistical mechanics of identical particles
Quantum Physics
2009-11-06 v1 Condensed Matter
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.
Cite
@article{arxiv.quant-ph/0003121,
title = {Classical phase space and statistical mechanics of identical particles},
author = {T. H. Hansson and S. B. Isakov and J. M. Leinaas and U. Lindstrom},
journal= {arXiv preprint arXiv:quant-ph/0003121},
year = {2009}
}
Comments
40 pages, Latex