Completeness Relation in Renormalized Quantum Systems
| dc.contributor.author | Erman, F. | |
| dc.contributor.author | Turgut, O.T. | |
| dc.date.accessioned | 2025-12-25T21:39:41Z | |
| dc.date.available | 2025-12-25T21:39:41Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this work, we show that the completeness relation for the eigenvectors, which is an essential assumption of quantum mechanics, remains true if the Hamiltonian, having a discrete spectrum, is modified by a delta potential (to be made precise by a renormalization scheme) supported at a point in two- and three-dimensional compact manifolds or Euclidean spaces. The formulation can be easily extended to an (Formula presented.) center case and the case where delta interaction is supported on curves in the plane or space. We finally give an interesting application for the sudden perturbation of the support of the delta potential. © © 2025 Erman and Turgut. | en_US |
| dc.identifier.doi | 10.3389/fphy.2025.1695365 | |
| dc.identifier.issn | 2296-424X | |
| dc.identifier.scopus | 2-s2.0-105023667552 | |
| dc.identifier.uri | https://doi.org/10.3389/fphy.2025.1695365 | |
| dc.language.iso | en | en_US |
| dc.publisher | Frontiers Media SA | en_US |
| dc.relation.ispartof | Frontiers in Physics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Compact Manifolds | en_US |
| dc.subject | Completeness Relation | en_US |
| dc.subject | Dirac Interactions | en_US |
| dc.subject | Green’S Function | en_US |
| dc.subject | Point Interactions | en_US |
| dc.subject | Renormalization | en_US |
| dc.subject | Resolvent | en_US |
| dc.subject | Schrodinger Operators | en_US |
| dc.title | Completeness Relation in Renormalized Quantum Systems | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 23102409500 | |
| gdc.author.scopusid | 56206920900 | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | İzmir Institute of Technology | en_US |
| gdc.description.departmenttemp | [Erman] Fatih, Department of Mathematics, Izmir Yüksek Teknoloji Enstitüsü, Izmir, Turkey; [Turgut] Osman Teoman, Department of Physics, Boğaziçi Üniversitesi, Bebek, Istanbul, Turkey, Department of Physics, Carnegie Mellon University, Pittsburgh, PA, United States | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.volume | 13 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | N/A | |
| gdc.identifier.openalex | W4403622409 | |
| gdc.identifier.wos | WOS:001625249500001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.openalex.collaboration | International | |
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