Majorana solution of the Thomas-Fermi equation

Details Majorana solution of the Thomas-Fermi equation Majorana solution of the Thomas-Fermi equation

2001-11-22

arxiv.org/abs/physics/0111167v1

Am.J.Phys. 70 (2002) 852-856

Physics

Atomic Physics

RevTex, 5 pages, 1 figure

Scientific paper

10.1119/1.1484144

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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