Work

Fermi-Dirac statistics and the number theory

Year: 2005
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W2053427481
FWCI: 0.453
Cites: 17
Cited by: 10
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