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arXiv · 1803.03495

Pointwise estimates on derivatives of Coulombic wave functions and their electron densities

Søren Fournais·Thomas Østergaard Sørensen
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Abstract

We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions, 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, involving negative powers of the distance from the nuclei. The results are both natural and optimal, as seen from the ground state of Hydrogen.

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Søren Fournais, Thomas Østergaard Sørensen. 2018-03-09. Pointwise estimates on derivatives of Coulombic wave functions and their electron densities. https://arxiv.org/abs/1803.03495

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