Abstract
Perturbations of -Δ+α/|x| (with α>0) by a point interaction centered at zero are defined in L p(ℝ3). This is done for 3/2<p<3 by extending the operator -Δ+α/|x| restricted to C ∞0 (ℝ3∖{0}), such that the extension is the negative generator of an analytic semigroup on L p(ℝ3).
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Caspers, W. Perturbation of the Laplacian by the Coulomb potential and a point interaction in L p(ℝ)3 . Potential Anal 1, 401–409 (1992). https://doi.org/10.1007/BF00301792
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DOI: https://doi.org/10.1007/BF00301792