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On point interactions realised as Ter-Martirosyan-Skornyakov Hamiltonians

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dc.contributor.author Michelangeli, Alessandro
dc.contributor.author Ottolini, Andrea
dc.date.accessioned 2016-06-16T11:45:45Z
dc.date.available 2016-06-16T11:45:45Z
dc.date.issued 2016
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35195
dc.description.abstract For quantum systems of zero-range interaction we discuss the mathematical scheme within which modelling the two-body interaction by means of the physically relevant ultra-violet asymptotics known as the ``Ter-Martirosyan--Skornyakov condition'' gives rise to a self-adjoint realisation of the corresponding Hamiltonian. This is done within the self-adjoint extension scheme of Krein, Visik, and Birman. We show that the Ter-Martirosyan--Skornyakov asymptotics is a condition of self-adjointness only when is imposed in suitable functional spaces, and not just as a point-wise asymptotics, and we discuss the consequences of this fact on a model of two identical fermions and a third particle of different nature. en_US
dc.language.iso en en_US
dc.relation.ispartofseries SISSA;11/2016/MATE
dc.subject Point interactions en_US
dc.subject self-adjoint extensions en_US
dc.subject Krein-Visik-BIrman theory en_US
dc.subject Ter-Martirosyan-Skornyakov operators en_US
dc.title On point interactions realised as Ter-Martirosyan-Skornyakov Hamiltonians en_US
dc.type Preprint en_US
dc.subject.miur MAT/07 en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.identifier.sissaPreprint 11/2016/MATE


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