Indirect Coulomb Energy for Two-Dimensional Atoms

TL;DR

This paper develops lower bounds on the indirect Coulomb energy for 2D atomic and molecular systems, using a density functional approach with gradient corrections, advancing theoretical understanding of these quantum systems.

Contribution

It introduces a new family of lower bounds for 2D Coulomb energy based on density functionals with gradient corrections, a novel theoretical development.

Findings

Derived explicit lower bounds for 2D Coulomb energy

Incorporated gradient correction terms into the bounds

Enhanced theoretical framework for 2D atomic/molecular systems

Abstract

In this manuscript we provide a family of lower bounds on the indirect Coulomb energy for atomic and molecular systems in two dimensions in terms of a functional of the single particle density with gradient correction terms.