Fermi-Dirac statistics and the number theory

被引：7

作者：

Kubasiak, A ^{[1
]}

Korbicz, JK

Zakrzewski, J

Lewenstein, M

机构：

[1] Jagiellonian Univ, Inst Fizyki, PL-30059 Krakow, Poland

[2] Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany

[3] Inst Ciencies Foton, ICFO, E-08034 Barcelona, Spain

来源：

EUROPHYSICS LETTERS | 2005年 / 72卷 / 04期

关键词：

D O I：

10.1209/epl/i2005-10278-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：506 / 512

页数：7

共 50 条

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