Partitions and the Fermi-Dirac distribution

Citation
Jm. Boe et F. Philippe, Partitions and the Fermi-Dirac distribution, J COMB TH A, 92(2), 2000, pp. 173-185
Citations number
3
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165 → ACNP
Volume
92
Issue
2
Year of publication
2000
Pages
173 - 185
Database
ISI
SICI code
0097-3165(200011)92:2<173:PATFD>2.0.ZU;2-K
Abstract
The exact electron distribution in certain small isolated systems is derive d from the enumeration of the partitions of integers. The corresponding gen erating series are ascribed a physical interpretation. The well-known Fermi -Dirac statistics is recovered by averaging. (C) 2000 Academic Press.