- 00-179 Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof, Thomas \O stergaard S\o rensen
- Electron Wavefunctions and Densities for Atoms.
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Apr 12, 00
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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,
$\sup_{y\in B(x,R)}|\nabla\psi(y)|
\leq C(R)\,\sup_{y\in B(x,2R)}|\psi(y)|$
and obtain for the spherically averaged electron density,
$\widetilde\rho(r)$, that $\widetilde\rho''(0)$ exists and is
non-negative.
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