Localized Wave Functions and the Interaction Potential between Electronic Groups

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Abstract
It is shown that the Schrödinger equation for electronic wave functions can be modified so that its solutions describe a molecule as a collection of interacting atoms or other units. The interaction potential between electrons localized in different units is the weakest one possible that is consistent with the constraint that the corresponding localized wave function yield upon symmetry projection one solution to the Schrödinger equation. The binding energy of the system can be calculated directly.