dorsal/arxiv
View SchemaMajorana solution of the Thomas-Fermi equation
| Authors | Salvatore Esposito |
|---|---|
| Categories | |
| ArXiv ID | physics/0111167 |
| URL | https://arxiv.org/abs/physics/0111167 |
| DOI | 10.1119/1.1484144 |
| Journal | Am.J.Phys. 70 (2002) 852-856 |
Abstract
We report on an original method, due to Majorana, leading to a semi-analytical series solution of the Thomas-Fermi equation, with appropriate boundary conditions, in terms of only one quadrature. We also deduce a general formula for such a solution which avoids numerical integration, but is expressed in terms of the roots of a given polynomial equation.
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"abstract": "We report on an original method, due to Majorana, leading to a\nsemi-analytical series solution of the Thomas-Fermi equation, with appropriate\nboundary conditions, in terms of only one quadrature. We also deduce a general\nformula for such a solution which avoids numerical integration, but is\nexpressed in terms of the roots of a given polynomial equation.",
"arxiv_id": "physics/0111167",
"authors": [
"Salvatore Esposito"
],
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"physics.atom-ph",
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"doi": "10.1119/1.1484144",
"journal_ref": "Am.J.Phys. 70 (2002) 852-856",
"title": "Majorana solution of the Thomas-Fermi equation",
"url": "https://arxiv.org/abs/physics/0111167"
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