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.
Majorana solution of the Thomas-Fermi equation / Esposito, S. - In: AMERICAN JOURNAL OF PHYSICS. - ISSN 0002-9505. - 70:8(2002), pp. 852-856. [10.1119/1.1484144]
Majorana solution of the Thomas-Fermi equation
Esposito S
2002
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.File in questo prodotto:
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