Fermi-Dirac statistics and the number theory

Details Fermi-Dirac statistics and the number theory Fermi-Dirac statistics and the number theory

2005-07-20

arxiv.org/abs/quant-ph/0507201v2

Europhys. Lett. 72, p.506 (2005)

Physics

Quantum Physics

7pages, 2 figures, epl.cls, revised version

Scientific paper

10.1209/epl/i2005-10278-8

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.

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