Fractional powers and singular perturbations of quantum differential Hamiltonians

Michelangeli, Alessandro; Ottolini, Andrea; Scandone, Raffaele

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