{ "id": "quant-ph/0003121", "version": "v1", "published": "2000-03-27T09:30:42.000Z", "updated": "2000-03-27T09:30:42.000Z", "title": "Classical phase space and statistical mechanics of identical particles", "authors": [ "T. H. Hansson", "S. B. Isakov", "J. M. Leinaas", "U. Lindstrom" ], "comment": "40 pages, Latex", "doi": "10.1103/PhysRevE.63.026102", "categories": [ "quant-ph", "cond-mat" ], "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.", "revisions": [ { "version": "v1", "updated": "2000-03-27T09:30:42.000Z" } ], "analyses": { "keywords": [ "classical phase space", "identical particles", "statistical mechanics", "haldanes exclusion statistics", "chern-simons ginzburg-landau model" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "LaTeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable" } } }