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Majorana solution of the Thomas-Fermi equation

Abstract

We report on an original method, due to Majorana, that leads 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 that avoids numerical integration, but is expressed in terms of the roots of a polynomial equation. (C) 2002 American Association of Physics Teachers

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Archivio della ricerca - Università degli studi di Napoli Federico II

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Last time updated on 13/11/2022

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