Onehyphen;electron diatomics in momentum space. III. Nonvariational method for singlehyphen;center expansion

摘要

When the Fock transformation is applied to the momentumhyphen;space Schrouml;dinger equation for onehyphen;electron diatomics, the equation is reduced to a homogeneous Fredholmhyphen;type integral equation with a degenerate kernel. It provides a new singlehyphen;center expansion formula without invoking the variational principle. The present singlehyphen;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+2molecule.