Abstract
The Dirac relativistic equation for the hydrogen atom as augmented by dual interaction terms is solved exactly and the eigenvalues for the bound states are determined. These areE n =μ[1 +κ 2/ (n + s)2]−1/2, withs 2=k 2−κ 2(1±Λ)2, where Λ is a constant which is a measure of the strength of the dual interaction relative to the standard interactionγ µ A µ . It is shown that the ratios of the experimental values for the Lamb shifts of various energy levels in hydrogen and singly ionized helium are correctly given by the theory. The origin of the anomalous magnetic moment and, in fact, the operator for the total magnetic moment is given.
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Schwebel, S.L. Interaction theory: Relativistic hydrogen atom and the Lamb shift. Int J Theor Phys 17, 931–939 (1978). https://doi.org/10.1007/BF00678421
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DOI: https://doi.org/10.1007/BF00678421