Fermi-Dirac statistics and the number theory

Preprint English OPEN
Kubasiak, A.; Korbicz, J.; Zakrzewski, J.; Lewenstein, M.;
(2005)
  • Related identifiers: doi: 10.1209/epl/i2005-10278-8
  • Subject: Condensed Matter - Statistical Mechanics | Quantum Physics
    arxiv: Condensed Matter::Quantum Gases

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 dist... View more
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