0003121v1

related topics
{field, particle, equation}
{group, space, representation}
{temperature, thermal, energy}
{phase, path, phys}
{state, states, coherent}
{energy, state, states}
{equation, function, exp}
{operator, operators, space}
{energy, gaussian, time}

Classical phase space and statistical mechanics of identical particles

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

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.

oai_identifier:
oai:arXiv.org:quant-ph/0003121
categories:
quant-ph cond-mat
comments:
40 pages, Latex
doi:
10.1103/PhysRevE.63.026102
arxiv_id:
quant-ph/0003121
report_no:
USITP-00-02, OSLO-TP 2-00
created:
2000-03-27

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