The electron density is smooth away from the nuclei

TL;DR

This paper proves that electron densities in atoms and molecules are smooth functions everywhere except at the nuclear positions, providing a rigorous mathematical understanding of their regularity.

Contribution

It offers a rigorous proof that electron densities are smooth away from nuclei, advancing the mathematical understanding of electronic structure.

Findings

Electron densities are smooth away from nuclei.

The proof applies to eigenfunctions of atoms and molecules.

Provides a rigorous mathematical foundation for electron density regularity.

Abstract

We prove that the electron densities of electronic eigenfunctions of atoms and molecules are smooth away from the nuclei.