Fermi statistics of partially populated states

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

@article{id1867,
  author = {Treumann, R. A.},
  journal = {arXiv.org[cond-mat]},
  language = {en},
  number = {1305.00997},
  title = {Fermi statistics of partially populated states},
  url = {http://arxiv.org/abs/1305.0997},
  volume = {arXiv:},
  year = {2013},
}

%O Journal Article
%A Treumann, R. A.
%J arXiv.org[cond-mat]
%G en
%N 1305.00997
%T Fermi statistics of partially populated states
%U http://arxiv.org/abs/1305.0997
%V arXiv:
%D 2013