Electrostatic Hellmann-Feynman theorem applied to long-range interatomic forces. The hydrogen molecule

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Abstract
The use of the electrostatic Hellmann‐Feynman theorem for the calculation of the leading term in the 1/R expansion of the force of interaction between two well‐separated hydrogen atoms is discussed. Previous work has suggested that whereas this term is determined wholly by the first‐order wavefunction when calculated by perturbation theory, the use of the Hellmann‐Feynman theorem apparently requires the wavefunction through second order. It is shown how the two results may be reconciled and that the Hellmann‐Feynman theorem may be reformulated in such a way that only the first‐order wavefunction is required.

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