SISSA Preprints

Fractional powers and singular perturbations of quantum differential Hamiltonians

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dc.contributor.author Michelangeli, Alessandro
dc.contributor.author Ottolini, Andrea
dc.contributor.author Scandone, Raffaele
dc.date.accessioned 2018-01-29T14:39:26Z
dc.date.available 2018-01-29T14:39:26Z
dc.date.issued 2018-01
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35305
dc.description Dedicated to Gianfausto Dell'Antonio on the occasion of his 85th birthday en_US
dc.description.abstract 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 perturbative structure for resolvents and on the local singularity structure of their domains. In application to the linear and non-linear Schrödinger equations for the corresponding operators, we outline a programme of relevant questions that deserve being investigated. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;01/2018/MATE
dc.subject Fractional Laplacian en_US
dc.subject Singular perturbations of differential operators en_US
dc.subject Krein-Vĭšik-Birman self-adjoint extension theory en_US
dc.title Fractional powers and singular perturbations of quantum differential Hamiltonians en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.relation.firstpage 1 en_US
dc.relation.lastpage 26 en_US


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