A new look at Thomas-Fermi Theory

Abstract

In this short note we argue that Thomas-Fermi Theory the simplest of all density functional theories, although failing to explain features such as binding or stability of negative ions, is surprisingly accurate in estimating sizes of atoms. We give both numerical, experimental and rigorous mathematical evidence for this claim. Motivated by this we formulate two new mathematical conjectures on the exactness of Thomas-Fermi Theory.

8 pages. Submitted version. Molecular Physics. Published online 30 Dec. 2015

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• The Validity of the Local Density Approximation for Smooth Short Range Interaction Potentials
• Born-Oppenheimer potential energy surfaces for Kohn-Sham models in the local density approximation