On the regularity of the density of electronic wavefunctions

TL;DR

This paper proves that the electronic density of atomic and molecular eigenfunctions is smooth away from nuclei, establishing regularity without requiring decay assumptions on the eigenfunctions.

Contribution

It provides a novel proof of the smoothness of electronic densities without decay assumptions, advancing understanding of wavefunction regularity.

Findings

Electronic density is smooth away from nuclei

No decay assumptions needed for the proof

Enhances theoretical understanding of wavefunction regularity

Abstract

We prove that the electronic density of atomic and molecular eigenfunctions is smooth away from the nuclei. The result is proved without decay assumptions on the eigenfunctions.