Complete asymptotic expansions for the relativistic Fermi-Dirac integral
Classical Analysis and ODEs
2022-03-29 v2
Abstract
Fermi-Dirac integrals appear in problems in nuclear astrophysics, solid state physics or in the fundamental theory of semiconductor modeling, among others areas of application. In this paper, we give new and complete asymptotic expansions for the relativistic Fermi-Dirac integral. These expansions could be useful to obtain a correct qualitative understanding of Fermi systems. The performance of the expansions is illustrated with numerical examples.
Keywords
Cite
@article{arxiv.2108.11210,
title = {Complete asymptotic expansions for the relativistic Fermi-Dirac integral},
author = {A. Gil and J. Segura and N. M. Temme},
journal= {arXiv preprint arXiv:2108.11210},
year = {2022}
}
Comments
25 pages, 7 figures, 2 tables