The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- Cite this article as:
- Benguria, R., Brezis, H. & Lieb, E.H. Commun.Math. Phys. (1981) 79: 167. doi:10.1007/BF01942059
We place the Thomas-Fermi-von Weizsäcker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas-Fermi-von Weizsäcker equation as well as the fact that they minimize the Thomas-Fermi-von Weizsäcker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model.