Existence of Hamiltonians for Some Singular Interactions on Manifolds
| dc.contributor.author | Doğan, Çağlar | |
| dc.contributor.author | Erman, Fatih | |
| dc.contributor.author | Turgut, Osman 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.coverage.doi | 10.1063/1.4705291 | |
| dc.date.accessioned | 2017-04-10T07:29:06Z | |
| dc.date.available | 2017-04-10T07:29:06Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The existence of the Hamiltonians of the renormalized point interactions in two and three dimensional Riemannian manifolds and that of a relativistic extension of this model in two dimensions are proven. Although it is much more difficult, the proof of existence of the Hamiltonian for the renormalized resolvent for the non-relativistic Lee model can still be given. To accomplish these results directly from the resolvent formula, we employ some basic tools from the semigroup theory. | en_US |
| dc.identifier.citation | Doğan, Ç, Erman, F. and Turgut, O. T. (2012). Existence of Hamiltonians for some singular interactions on manifolds. Journal of Mathematical Physics, 53(4). doi:10.1063/1.4705291 | en_US |
| dc.identifier.doi | 10.1063/1.4705291 | en_US |
| dc.identifier.doi | 10.1063/1.4705291 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.issn | 1089-7658 | |
| dc.identifier.scopus | 2-s2.0-84860465588 | |
| dc.identifier.uri | http://dx.doi.org/10.1063/1.4705291 | |
| dc.identifier.uri | https://hdl.handle.net/11147/5264 | |
| 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 | Hamiltonians | en_US |
| dc.subject | Riemannian manifolds | en_US |
| dc.title | Existence of Hamiltonians for Some Singular Interactions on Manifolds | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Erman, Fatih | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 53 | en_US |
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| gdc.oaire.keywords | Hamiltonians | |
| gdc.oaire.keywords | Riemannian manifolds | |
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