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Estimates on derivatives of Coulombic wave functions and their electron densities

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  • Søren Fournais
  • ,
  • Thomas Østergaard Sørensen, Department Mathematisches Institut, Ludwig Maximilian University of Munich

We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions Ψ, involving negative powers of the distance to the singularities of the many-body potential. We use these to derive bounds for all derivatives of the corresponding one-electron densities p, involving negative powers of the distance from the nuclei. The results are both natural and optimal, as seen from the ground state of Hydrogen.

Original languageEnglish
JournalJournal fur die Reine und Angewandte Mathematik
Publication statusPublished - Jun 2021

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© De Gruyter 2021.

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