Analytical approximation of the Fermi-Dirac integrals of half-integer and integer orders
- 作者: Koroleva O.1,2, Mazhukin A.1,2, Mazhukin V.1,2, Breslavskiy P.1
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隶属关系:
- Keldysh Institute of Applied Mathematics
- National Research Nuclear University MEPhI
- 期: 卷 9, 编号 3 (2017)
- 页面: 383-389
- 栏目: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/201777
- DOI: https://doi.org/10.1134/S2070048217030073
- ID: 201777
如何引用文章
详细
We have obtained continuous analytical expressions approximating the Fermi-Dirac (F-D) integrals of orders j = −1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2 in a convenient form for calculation with reasonable accuracy (1–4)% in a wide degeneration range in this paper. An approach based on the least squares method for approximation was used. The demands for the approximation of integrals, the range of variation of order j, and the definitional domain are considered in terms of the use of F-D integrals to determine the properties of metals and semiconductors.
作者简介
O. Koroleva
Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPhI
Email: vim@modhef.ru
俄罗斯联邦, Moscow; Moscow
A. Mazhukin
Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPhI
Email: vim@modhef.ru
俄罗斯联邦, Moscow; Moscow
V. Mazhukin
Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPhI
编辑信件的主要联系方式.
Email: vim@modhef.ru
俄罗斯联邦, Moscow; Moscow
P. Breslavskiy
Keldysh Institute of Applied Mathematics
Email: vim@modhef.ru
俄罗斯联邦, Moscow