Abstract
When the Fock transformation is applied to the momentum-space Schrödinger equation for one-electron diatomics, the equation is reduced to a homogeneous Fredholm-type integral equation with a degenerate kernel. It provides a new single-center expansion formula without invoking the variational principle. The present single-center solution satisfies the zero potential energy criterion and constitutes an upper bound to the true solution. The results are illustrated for the ground and first excited states of the H+2 molecule.
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