On the expansion of integrals containing Fermi distributions
(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
- Åberg, Sven LU
- publishing date
- 1982
- 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
- 2025-09-05 09:54:37
@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}},
}