Proof of the Strong Scott Conjecture for Atomic and Molecular Cores

Iantchenko, Alexei; Lieb, Elliott H.; Siedentop, Heinz

Proof of the Strong Scott Conjecture for Atomic and Molecular Cores

Authors

Iantchenko, Alexei

Lieb, Elliott H.

Siedentop, Heinz

Description

The strong Scott conjecture about the electron density at a distance 1/Z from an atomic nucleus of charge $Z$ and its generalization for molecules are proved. The density, suitably scaled, converges to an explicit limiting density as $Z \to \infty$. Both a weak convergence and a pointwise convergence on spheres holds.
LaTeX2e, 18 pages, hard copy requests: heinz@math.uio.no