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Majorana solution of the Thomas-Fermi equation

Salvatore Esposito
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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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Salvatore Esposito. 2001-11-22. Majorana solution of the Thomas-Fermi equation. https://doi.org/10.1119/1.1484144

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