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Fermi Statistics of Partially Populated States

Statistical Mechanics 2013-06-11 v2 High Energy Astrophysical Phenomena

Abstract

Fermi statistics is formally extended to the case when energy levels are allowed to be partially occupied, which the Pauli principle does not categorically exclude. The partial Fermi distribution obtained depends on the partial occupation of states but otherwise has similar properties as the (integer) Fermi distribution. In the zero temperature limit both are identical.

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Cite

@article{arxiv.1305.0997,
  title  = {Fermi Statistics of Partially Populated States},
  author = {R. A. Treumann},
  journal= {arXiv preprint arXiv:1305.0997},
  year   = {2013}
}

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