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Schrödinger operators with concentric δ-shells
| dc.contributor.author | Albeverio, Sergio | |
| dc.contributor.author | Kostenko, Aleksey | |
| dc.contributor.author | Malamud, Mark | |
| dc.contributor.author | Neidhardt, Hagen | |
| dc.date.accessioned | 2017-01-04T16:09:59Z | |
| dc.date.available | 2019-06-28T08:04:00Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We investigate the spectral properties of the Schrödinger operators in L2(Rn) with a singular interaction supported by an infinite family of concentric spheres HR,α=−Δ+∑k=1∞αkδ(|x|−rk). We obtain necessary and sufficient conditions for the operator HR,α to be self-adjoint, lower-semibounded. Also we investigate the spectral types of HR,α. | |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2129 | |
| dc.language.iso | eng | eng |
| dc.publisher | Cambridge : arXiv | |
| dc.relation.uri | https://arxiv.org/abs/1211.4048 | |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.subject.ddc | 510 | |
| dc.subject.other | Schrödinger operator | eng |
| dc.subject.other | singular interaction | eng |
| dc.subject.other | concentric spheres | eng |
| dc.subject.other | spectral properties | eng |
| dc.title | Schrödinger operators with concentric δ-shells | |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |