Point-like perturbed fractional Laplacians through shrinking potentials of finite range

Simple item page
dc.contributor.areaMathematicsen_US
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorScandone, Raffaele
dc.date.accessioned2018-03-29T12:07:25Z
dc.date.available2018-03-29T12:07:25Z
dc.date.issued2018-03
dc.description.abstractWe construct the rank-one, singular (point-like) perturbations of the d-dimensional fractional Laplacian in the physically meaningful norm-resolvent limit of fractional Schrödinger operators with regular potentials centred around the perturbation point and shrinking to a delta-like shape. We analyse both possible regimes, the resonance-driven and the resonance-independent limit, depending on the power of the fractional Laplacian and the spatial dimension. To this aim, we also qualify the notion of zero-energy resonance for Schrödinger operators formed by a fractional Laplacian and a regular potential.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35313
dc.language.isoenen_US
dc.miur.area1en_US
dc.publisherSISSAen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;16/2018/MATE
dc.relation.lastpage31en_US
dc.subjectFractional Laplacianen_US
dc.subjectSingular perturbations of differential operatorsen_US
dc.subjectSchrödinger operators with shrinking potentialsen_US
dc.subjectZero-energy resonanceen_US
dc.titlePoint-like perturbed fractional Laplacians through shrinking potentials of finite rangeen_US
dc.typePreprinten_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
SISSA_preprint_16-2018-MATE.pdf
Size:
383.34 KB
Format:
Adobe Portable Document Format
Description:
Preprint
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Preprints