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math.FA2018
Point-like perturbed fractional Laplacians through shrinking potentials of finite range
Alessandro Michelangeli, Raffaele Scandone
We reconstruct the rank-one, singular (point-like) perturbations of the -dimensional fractional Laplacian in the physically meaningful norm-resolvent limit of fractional Schrödi…
math.FA2017
On fractional powers of singular perturbations of the Laplacian
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian w…