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dc.contributor.authorErman, Fatih
dc.contributor.authorMalkoç, Berkin
dc.contributor.authorTurgut, Osman Teoman
dc.date.accessioned2017-04-25T13:56:04Z
dc.date.available2017-04-25T13:56:04Z
dc.date.issued2014-08
dc.identifier.citationErman, F., Malkoç, B., and Turgut, O.T. (2014). Nondegeneracy of the ground state for nonrelativistic Lee model. Journal of Mathematical Physics, 55(8). doi:10.1063/1.4892763en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://doi.org/10.1063/1.4892763
dc.identifier.urihttp://hdl.handle.net/11147/5402
dc.description.abstractIn the present work, we first briefly sketch the construction of the nonrelativistic Lee model on Riemannian manifolds, introduced in our previous works. In this approach, the renormalized resolvent of the system is expressed in terms of a well-defined operator, called the principal operator, so as to obtain a finite formulation. Then, we show that the ground state of the nonrelativistic Lee model on compact Riemannian manifolds is nondegenerate using the explicit expression of the principal operator that we obtained. This is achieved by combining heat kernel methods with positivity improving semi-group approach and then applying these tools directly to the principal operator, rather than the Hamiltonian, without using cut-offs.en_US
dc.language.isoengen_US
dc.publisherAmerican Institute of Physics Publisingen_US
dc.relation.isversionof10.1063/1.4892763en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRiemannian manifoldsen_US
dc.subjectLee modelen_US
dc.subjectHilbert spaceen_US
dc.subjectEigenvaluesen_US
dc.subjectGround statesen_US
dc.subjectField theoryen_US
dc.titleNondegeneracy of the ground state for nonrelativistic Lee modelen_US
dc.typearticleen_US
dc.contributor.authorIDTR19429en_US
dc.contributor.institutionauthorErman, Fatih
dc.relation.journalJournal of Mathematical Physicsen_US
dc.contributor.departmentİYTE, Fen Fakültesi, Matematik Bölümüen_US
dc.identifier.volume55en_US
dc.identifier.issue8en_US
dc.identifier.wosWOS:000342848900073
dc.identifier.scopusSCOPUS:2-s2.0-84925842160
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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