Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6143
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dc.contributor.authorErman, Fatih-
dc.date.accessioned2017-08-17T08:01:24Z-
dc.date.available2017-08-17T08:01:24Z-
dc.date.issued2016-
dc.identifier.citationErman, F. (2016). Recursion formula for the Green's function of a Hamiltonian for several types of Dirac delta-function potentials in curved spaces. Turkish Journal of Physics, 40(3), 316-323. doi:10.3906/fiz-1604-28en_US
dc.identifier.issn1300-0101-
dc.identifier.issn1303-6122-
dc.identifier.urihttp://doi.org/10.3906/fiz-1604-28-
dc.identifier.urihttp://hdl.handle.net/11147/6143-
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/213248-
dc.description.abstractIn this short article, we nonperturbatively derive a recursive formula for the Green's function associated with finitely many point Dirac delta potentials in one dimension. We extend this formula to the one for the Dirac delta potentials supported by regular curves embedded in two-dimensional manifolds and for the Dirac delta potentials supported by two-dimensional compact manifolds embedded in three-dimensional manifolds. Finally, this formulation allows us to find the recursive formula of the Green's function for the point Dirac delta potentials in two- and three-dimensional Riemannian manifolds, where the renormalization of coupling constant is required.en_US
dc.language.isoenen_US
dc.publisherTUBITAKen_US
dc.relation.ispartofTurkish Journal of Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDirac delta potentialsen_US
dc.subjectGreen's functionsen_US
dc.subjectRenormalizationen_US
dc.subjectRiemannian manifoldsen_US
dc.titleRecursion formula for the Green's function of a Hamiltonian for several types of Dirac delta-function potentials in curved spacesen_US
dc.typeArticleen_US
dc.institutionauthorErman, Fatih-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume40en_US
dc.identifier.issue3en_US
dc.identifier.startpage316en_US
dc.identifier.endpage323en_US
dc.identifier.wosWOS:000390396400014en_US
dc.identifier.scopus2-s2.0-85001018578en_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.3906/fiz-1604-28-
dc.relation.doi10.3906/fiz-1604-28en_US
dc.coverage.doi10.3906/fiz-1604-28en_US
dc.identifier.trdizinid213248en_US
dc.identifier.scopusqualityQ4-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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