Analytical expressions of potentials and wave functions for atoms and ions

Takeshi Mukoyama, Gábor Hock

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2 Citations (Scopus)


A method to calculate the self-consistent field (SCF) potential and wave functions for atoms and ions in analytical forms is described. The numerical SCF potential for atoms and ions is fitted to an analytical function by the use of the nonlinear least-squares method. The SCF wave functions are obtained numerically by solving the Schrödinger equation with the analytical SCF potential. The analytical wave functions are calculated with the nonlinear least-squares fitting technique. The obtained results are tested by comparing energy eigenvalues and radiative transition probabilities with those from numerical calculations.

Original languageEnglish
Pages (from-to)155-157
Number of pages3
JournalNuclear Inst. and Methods in Physics Research, B
Issue number1-2
Publication statusPublished - Mar 3 1994


ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Instrumentation

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