Browsing Preprints by Subject "Singular perturbations of differential operators"

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Fractional powers and singular perturbations of quantum differential Hamiltonians

Michelangeli, Alessandro; Ottolini, Andrea; Scandone, Raffaele (SISSA, 2018-01)

We consider the fractional powers of singular (point-like) perturbations of the Laplacian and the singular perturbations of fractional powers of the Laplacian, and we compare two such constructions focusing on their ...
Point-like perturbed fractional Laplacians through shrinking potentials of finite range

Michelangeli, Alessandro; Scandone, Raffaele (SISSA, 2018-03)

We construct the rank-one, singular (point-like) perturbations of the d-dimensional fractional Laplacian in the physically meaningful norm-resolvent limit of fractional Schrödinger operators with regular potentials centred ...

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