The hydrogen atom in the presence of the Fermi-contact interaction

Abstract
It is shown that the energy associated with the Fermi-contact part of the hamiltonian of the hydrogen atom cannot be expanded as a perturbation series. A variation calculation shows that the total energy is E 0 when the Fermi-contact operation is added to H 0, and -∞ when it is subtracted. In order to do a priori variational calculations on the ‘second-order’ properties of this operator, such as spin-spin coupling constants, it is probably necessary to remove the singularity caused by the δ function.

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