Monotonicity of the molecular electronic energy in the nuclear coordinates

Abstract

Let e(R1,...,Rk) be the electronic contribution to the ground-state energy of a molecule consisting of one electron and k nuclei located at R1,...,Rk. It is shown that e(R1',...,Rk')>or=e(R1,...,Rk) if mod Ri'-Ri' mod >or= mod Ri-Ri mod for all pairs i, j.