Extension of Nikiforov-Uvarov method for the solution of Heun equation

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dc.contributor.authorKarayer, H.
dc.contributor.authorDemirhan, D.
dc.contributor.authorBuyulkilic, F.
dc.date.accessioned2019-10-27T20:24:29Z
dc.date.available2019-10-27T20:24:29Z
dc.date.issued2015
dc.departmentEge Üniversitesien_US
dc.description.abstractWe report an alternative method to solve second order differential equations which have at most four singular points. This method is developed by changing the degrees of the polynomials in the basic equation of Nikiforov-Uvarov (NU) method. This is called extended NU method for this paper. The eigenvalue solutions of Heun equation and confluent Heun equation are obtained via extended NU method. Some quantum mechanical problems such as Coulomb problem on a 3-sphere, two Coulombically repelling electrons on a sphere, and hyperbolic double-well potential are investigated by this method. (C) 2015 AIP Publishing LLC.en_US
dc.identifier.doi10.1063/1.4922601
dc.identifier.issn0022-2488
dc.identifier.issn1089-7658
dc.identifier.issn0022-2488en_US
dc.identifier.issn1089-7658en_US
dc.identifier.issue6en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1063/1.4922601
dc.identifier.urihttps://hdl.handle.net/11454/42134
dc.identifier.volume56en_US
dc.identifier.wosWOS:000357615900033en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofJournal of Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleExtension of Nikiforov-Uvarov method for the solution of Heun equationen_US
dc.typeArticleen_US

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