The maximal excess charge for a family of density-matrix-functional theories including Hartree-Fock and M\"uller theories

TL;DR

This paper proves that the maximum excess charge for atoms modeled by a family of density-matrix functionals, including Hartree-Fock and M"uller theories, is universally bounded, using a novel technique.

Contribution

It establishes a universal bound on excess charge for a broad class of density-matrix-functional theories, extending previous results.

Findings

Maximal excess charge is bounded by a universal constant.

The proof employs a new technique introduced by Frank et al.

Applicable to Hartree-Fock and M"uller theories.

Abstract

We will give a proof that the maximal excess charge for an atom described by a family of density-matrix-functionals, which includes Hartree-Fock and M\"uller theories, is bounded by an universal constant. We will use the new technique introduced by Frank et al (arXiv:1608.05625 [math-ph]).