Accurate calculation of the solutions to the Thomas-Fermi equations

被引：21

作者：

Amore, Paolo ^{[1
]}

Boyd, John P. ^{[2
]}

Fernandez, Francisco M. ^{[3
]}

机构：

[1] Univ Colima, CUICBAS, Fac Ciencias, Colima, Mexico

[2] Univ Michigan, Dept Atmospher Ocean & Space Sci, Ann Arbor, MI 48109 USA

[3] CCT La Plata CONICET, UNLP, INIFIA, Div Quim Teor, RA-1900 La Plata, Argentina

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷

基金：

美国国家科学基金会;

关键词：

Thomas-Fermi equations; Critical slope; Singular points; Hankel-Pade method; Power series; Fade approximants; Hermite-Pade approximants; Chebyshev polynomials; SPECTRAL METHODS; POSITIVE-IONS; RESONANCES; CHEBYSHEV; SERIES; APPROXIMATION; EIGENVALUES; ENERGY; MODEL; ATOMS;

D O I：

10.1016/j.amc.2014.01.137

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Pade-Hankel method, numerical integration, power series with Fade and Hermite-Pade approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：929 / 943

页数：15

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