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Remarks on the fermi contact interaction

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Abstract

It is shown by rigorous mathematical methods that the so-called Fermi contact interaction does not define any selfadjoint Hamiltonian, and the only possible form of contact interaction localized strictly at r = 0 is found. However, the Fermi contact interaction retains sense when used as a bilinear form in the perturbation theory for Dirac electrons. Some results obtained earlier by other authors are confirmed and interpreted by our analysis.

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  1. J. Heyrovský Institute of Physical Chemistry and Electrochemistry, Czechoslovak Academy of Sciences, Máchova 7, 121 38, Prague 2, Czechoslovakia

    Štěpán Pick

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  1. Štěpán Pick
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Pick, Š. Remarks on the fermi contact interaction. Theoret. Chim. Acta 56, 307–313 (1980). https://doi.org/10.1007/BF00552594

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  • DOI: https://doi.org/10.1007/BF00552594

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