Variational calculation of the two-dimensionalH2molecule

Abstract
The ground-state energy of the two-dimensional (2D) hydrogen molecule has been calculated using a Heitler-London-Rosen-type variational calculation. The value of the dissociation energy is found to be 2.5 Ry. For the interatomic distance R=0, the variational parameter α2D=1.7055, corresponding to a 2D He atom. For the sake of comparison, the results of the 3D case are also recalculated. Special interest arises from the Slater integrals, which are rather difficult to obtain in the 2D case.