Convergent sum of gradient expansion of the kinetic-energy density functional up to the sixth order term using Padé approximant

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The gradient expansion of the kinetic energy density functional, when applied to atoms or finite systems, usually grossly overestimates the energy in the fourth order and generally diverges in the sixth order. We avoid the divergence of the integral by replacing the asymptotic series including the sixth order term in the integrand by a rational function. Padé approximants show moderate improvements in accuracy in comparison with partial sums of the series. The results are discussed for atoms and Hooke's law model for two-electron atoms.

Original languageEnglish
Article number012011
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 4 May 2016
Event1st International Physics Conference at the Anatolian Peak, IPCAP 2016 - Erzurum, Turkey
Duration: 25 Feb 201627 Feb 2016


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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