The Scott correction in Dirac-Fock theory

TL;DR

This paper derives the Scott correction term in the large atomic number expansion of atomic energy within Dirac-Fock theory, providing a foundational result without using projections.

Contribution

It presents the first derivation of the Scott correction in Dirac-Fock theory without projections, advancing theoretical understanding.

Findings

First derivation of Scott correction in Dirac-Fock theory

Provides a rigorous mathematical foundation for large-Z atomic energies

Enhances the theoretical framework for relativistic atomic models

Abstract

We give the first derivation of the Scott correction in the large-$Z$ expansion of the energy of an atom in Dirac-Fock theory without projections.