Rank One Perturbations Supported by Hybrid Geometries and Their Deformations
| dc.contributor.author | Erman, Fatih | |
| dc.contributor.author | Erman, Fatih | |
| dc.contributor.author | Turgut, O. Teoman | |
| dc.contributor.other | 04.02. Department of Mathematics | |
| dc.contributor.other | 04. Faculty of Science | |
| dc.contributor.other | 01. Izmir Institute of Technology | |
| dc.date.accessioned | 2023-01-10T13:01:38Z | |
| dc.date.available | 2023-01-10T13:01:38Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We study the hybrid type of rank one perturbations in ℝ2 and ℝ3, where the perturbation supported by a circle/sphere is considered together with the delta potential supported by a point outside of the circle/sphere. The construction of a self-adjoint Hamiltonian operator associated with formal expressions for the rank one perturbation supported by a circle and by a point is explicitly given. Bound state energies and scattering properties for each problem are also studied. Finally, we consider the rank one perturbation supported by a deformed circle/sphere and show that the first order change in bound state energies under small deformations of the circle/sphere has a simple geometric interpretation. | en_US |
| dc.identifier.doi | 10.1063/5.0090401 | |
| dc.identifier.issn | 0022-2488 | en_US |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.issn | 1089-7658 | |
| dc.identifier.scopus | 2-s2.0-85144455088 | |
| dc.identifier.uri | https://doi.org/10.1063/5.0090401 | |
| dc.identifier.uri | https://hdl.handle.net/11147/12747 | |
| dc.language.iso | en | en_US |
| dc.publisher | American Institute of Physics | en_US |
| dc.relation.ispartof | Journal of Mathematical Physics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Scattering theory | en_US |
| dc.subject | Bound states | en_US |
| dc.subject | Operator theory | en_US |
| dc.title | Rank One Perturbations Supported by Hybrid Geometries and Their Deformations | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | 0000-0003-0398-2225 | en_US |
| gdc.author.institutional | Erman, Fatih | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 63 | en_US |
| gdc.description.wosquality | Q3 | |
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