Fermi-Dirac statistics and the number theory
Quantum Physics
2009-11-11 v2 Statistical Mechanics
Abstract
We relate the Fermi-Dirac statistics of an ideal Fermi gas in a harmonic trap to partitions of given integers into distinct parts, studied in number theory. Using methods of quantum statistical physics we derive analytic expressions for cumulants of the probability distribution of the number of different partitions.
Cite
@article{arxiv.quant-ph/0507201,
title = {Fermi-Dirac statistics and the number theory},
author = {A. Kubasiak and J. Korbicz and J. Zakrzewski and M. Lewenstein},
journal= {arXiv preprint arXiv:quant-ph/0507201},
year = {2009}
}
Comments
7pages, 2 figures, epl.cls, revised version