Variational approach to the Thomas–Fermi equation

Variational approach to the Thomas–Fermi equation

Using a direct variational approach, accurate approximate solutions are obtained for the famous Thomas-Fermi nonlinear differential equation describing the screening of the Coulomb potential inside heavy neutral atoms. In addition, the analysis demonstrates the flexibility and power, but also the li...

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Veröffentlicht in:European journal of physics 2004-11, Vol.25 (6), p.699-705
Hauptverfasser: Desaix, M, Anderson, D, Lisak, M
Format: Artikel
Sprache:eng
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Zusammenfassung:Using a direct variational approach, accurate approximate solutions are obtained for the famous Thomas-Fermi nonlinear differential equation describing the screening of the Coulomb potential inside heavy neutral atoms. In addition, the analysis demonstrates the flexibility and power, but also the limitations of the variational approach.
ISSN:0143-0807
1361-6404
DOI:10.1088/0143-0807/25/6/001