Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof, Thomas \O stergaard S\o rensen
Electron Wavefunctions and Densities for Atoms.
(64K, LaTeX2e)

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.