dorsal/arxiv
View SchemaClassical phase space and statistical mechanics of identical particles
| Authors | T. H. Hansson, S. B. Isakov, J. M. Leinaas, U. Lindstrom |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003121 |
| URL | https://arxiv.org/abs/quant-ph/0003121 |
| DOI | 10.1103/PhysRevE.63.026102 |
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.
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"date_created": "2026-03-02T18:01:38.009000Z",
"date_modified": "2026-03-02T18:01:38.009000Z",
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"abstract": "Starting from the quantum theory of identical particles, we show how to\ndefine a classical mechanics that retains information about the quantum\nstatistics. We consider two examples of relevance for the quantum Hall effect:\nidentical particles in the lowest Landau level, and vortices in the\nChern-Simons Ginzburg-Landau model. In both cases the resulting {\\em classical}\nstatistical mechanics is shown to be a nontrivial classical limit of Haldane\u0027s\nexclusion statistics.",
"arxiv_id": "quant-ph/0003121",
"authors": [
"T. H. Hansson",
"S. B. Isakov",
"J. M. Leinaas",
"U. Lindstrom"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevE.63.026102",
"title": "Classical phase space and statistical mechanics of identical particles",
"url": "https://arxiv.org/abs/quant-ph/0003121"
},
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