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Schödinger operators on half-line with shrinking potentials at the origin

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dc.contributor.author Dell'Antonio, Gianfausto
dc.contributor.author Michelangeli, Alessandro
dc.date.accessioned 2015-02-09T07:29:04Z
dc.date.available 2015-02-09T07:29:04Z
dc.date.issued 2015
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/34439
dc.description.abstract We discuss the general model of a Schrödinger quantum particle constrained on a straight half-line with given self-adjoint boundary condition at the origin and an interaction potential supported around the origin. We study the limit when the range of the potential scales to zero and its magnitude blows up. We show that in the limit the dynamics is generated by a self-adjoint negative Laplacian on the half-line, with a possible preservation or modification of the boundary condition at the origin, depending on the magnitude of the scaling and of the strength of the potential. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;06/2015/MATE
dc.title Schödinger operators on half-line with shrinking potentials at the origin en_US
dc.type Preprint en_US


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