Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5341
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dc.contributor.authorErman, Fatih-
dc.contributor.authorTurgut, O. Teoman-
dc.date.accessioned2017-04-19T06:44:18Z-
dc.date.available2017-04-19T06:44:18Z-
dc.date.issued2013-02-
dc.identifier.citationErman, F., and Turgut, O.T. (2013). A many-body problem with point interactions on two-dimensional manifolds. Journal of Physics A: Mathematical and Theoretical, 46(5). doi:10.1088/1751-8113/46/5/055401.en_US
dc.identifier.issn1751-8113-
dc.identifier.issn1751-8121-
dc.identifier.urihttps://doi.org/10.1088/1751-8113/46/5/055401-
dc.identifier.urihttp://hdl.handle.net/11147/5341-
dc.description.abstractA non-perturbative renormalization of a many-body problem, where non-relativistic bosons living on a two-dimensional Riemannian manifold interact with each other via the two-body Dirac delta potential, is given by the help of the heat kernel defined on the manifold. After this renormalization procedure, the resolvent becomes a well-defined operator expressed in terms of an operator (called principal operator) which includes all the information about the spectrum. Then, the ground state energy is found in the mean-field approximation and we prove that it grows exponentially with the number of bosons. The renormalization group equation (or Callan-Symanzik equation) for the principal operator of the model is derived and the beta function is exactly calculated for the general case, which includes all particle numbers.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltd.en_US
dc.relation.ispartofJournal of Physics A: Mathematical and Theoreticalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBosonsen_US
dc.subjectRenormalizationen_US
dc.subjectQuantum mechanicsen_US
dc.subjectBound statesen_US
dc.subjectRenormalization group equationsen_US
dc.subjectWavefunctionen_US
dc.titleA many-body problem with point interactions on two-dimensional manifoldsen_US
dc.typeArticleen_US
dc.authoridTR19429en_US
dc.institutionauthorErman, Fatih-
dc.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume46en_US
dc.identifier.issue5en_US
dc.identifier.wosWOS:000313796000013
dc.identifier.scopusSCOPUS:2-s2.0-84873123862
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1088/1751-8113/46/5/055401-
dc.relation.doi10.1088/1751-8113/46/5/055401en_US
dc.coverage.doi10.1088/1751-8113/46/5/055401en_US
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.grantfulltextopen-
item.languageiso639-1en-
item.fulltextWith Fulltext-
crisitem.author.deptDepartment of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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