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On the expansion of integrals containing Fermi distributions

Åberg, Sven LU (1982) In Journal of Mathematical Physics 24(6). p.1422-1424
Abstract

We derive an expansion of integrals containing a general function multiplied by a Fermi function raised to an arbitrary power v. When v is an integer, direct expressions for the expansion coefficients are given. The expansion is found to converge quite rapidly if the diffuseness of the Fermi distribution is small, and when v ≳ 1.

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author
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Physics
volume
24
issue
6
pages
3 pages
publisher
American Institute of Physics (AIP)
external identifiers
  • scopus:36749120725
ISSN
0022-2488
DOI
10.1063/1.525877
language
English
LU publication?
no
id
2378b40a-136a-459d-9b07-ff0d212b0c6a
date added to LUP
2025-09-02 14:52:52
date last changed
2025-10-14 10:33:16
@article{2378b40a-136a-459d-9b07-ff0d212b0c6a,
  abstract     = {{<p>We derive an expansion of integrals containing a general function multiplied by a Fermi function raised to an arbitrary power v. When v is an integer, direct expressions for the expansion coefficients are given. The expansion is found to converge quite rapidly if the diffuseness of the Fermi distribution is small, and when v ≳ 1.</p>}},
  author       = {{Åberg, Sven}},
  issn         = {{0022-2488}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{1422--1424}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{Journal of Mathematical Physics}},
  title        = {{On the expansion of integrals containing Fermi distributions}},
  url          = {{http://dx.doi.org/10.1063/1.525877}},
  doi          = {{10.1063/1.525877}},
  volume       = {{24}},
  year         = {{1982}},
}