A new look at Thomas-Fermi Theory

Research paper by Jan Philip Solovej

Indexed on: 04 Jan '16Published on: 04 Jan '16Published in: Mathematical Physics


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.