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Electron Wavefunctions and Densities for Atoms

Maria Hoffmann-Ostenhof·Thomas Hoffmann-Ostenhof·Thomas Østergaard Sørensen
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Abstract

With a special `Ansatz' we analyse the regularity properties of atomic electron wavefunctions and electron densities. In particular we prove an a priori estimate, $\sup_{y\in B(x,R)}|\nablaψ(y)| \leq C(R) \sup_{y\in B(x,2R)}|ψ(y)|$ and obtain for the spherically averaged electron density, $\widetildeρ(r)$, that $\widetildeρ''(0)$ exists and is non-negative.

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Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof, Thomas Østergaard Sørensen. 2000-05-02. Electron Wavefunctions and Densities for Atoms. https://doi.org/10.1007/pl00001033

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