On point interactions realised as Ter-Martirosyan-Skornyakov Hamiltonians

Simple item page
dc.contributor.areaMathematicsen_US
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorOttolini, Andrea
dc.date.accessioned2016-06-16T11:45:45Z
dc.date.available2016-06-16T11:45:45Z
dc.date.issued2016
dc.description.abstractFor 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.identifier.sissaPreprint11/2016/MATE
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35195
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.ispartofseriesSISSA;11/2016/MATE
dc.subjectPoint interactionsen_US
dc.subjectself-adjoint extensionsen_US
dc.subjectKrein-Visik-BIrman theoryen_US
dc.subjectTer-Martirosyan-Skornyakov operatorsen_US
dc.subject.miurMAT/07en_US
dc.titleOn point interactions realised as Ter-Martirosyan-Skornyakov Hamiltoniansen_US
dc.typePreprinten_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
SISSA_preprint_11-2016-MATE.pdf
Size:
282.69 KB
Format:
Adobe Portable Document Format
Description:
Preprint
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.3 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Preprints