Saturday, September 11, 2021

Majorana solution of the Thomas-Fermi equation

 Salvatore Esposito

 E-mail: Salvatore.Esposito@na.infn.it

 

 We report on an original method, due to Majorana, leading to asemi-analytical series solution of theThomas-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 isexpressed in terms of the roots of a given polynomial equation.

 

https://sci-hub.se/https://doi.org/10.1119/1.1484144 

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