Approximate Bound State Solutions of the Hellmann Plus Kratzer Potential in N-dimensional Space

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dc.contributor.authorOzfidan, Aysel
dc.date.accessioned2025-03-17T12:25:12Z
dc.date.available2025-03-17T12:25:12Z
dc.date.issued2020
dc.departmentTarsus Üniversitesi
dc.description.abstractWe have examined the approximate l(N-1)-state solutions of the N-dimensional Schrodinger equation for a particle interacting with the Hellmann plus Kratzer potential. In hyperspherical coordinate system, we have constructed the bound state energy equation and the wavefunctions expressed by the hypergeometric function via the asymptotic iteration approach in detail. When considered the special cases of parameters in Hellmann plus Kratzer potential, this potential turns into several potential models. In this connection, the non-relativistic energy spectra for the modified Kratzer, Yukawa, Coulomb and Hellmann potentials in approximate analytic form have been obtained in hyperspherical coordinates. We have presented the numerical energy eigenvalues for the Hellmann, Yukawa and Coulomb potentials in N = 3 dimensions. Our present results provide an appropriate test of the accuracy of asymptotic iteration formalism.
dc.identifier.doi10.35378/gujs.672684
dc.identifier.endpage804
dc.identifier.issn2147-1762
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85090096470
dc.identifier.scopusqualityQ2
dc.identifier.startpage791
dc.identifier.trdizinid364230
dc.identifier.urihttps://doi.org/10.35378/gujs.672684
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/364230
dc.identifier.urihttps://hdl.handle.net/20.500.13099/1552
dc.identifier.volume33
dc.identifier.wosWOS:000597098300016
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorOzfidan, Aysel
dc.language.isoen
dc.publisherGazi Univ
dc.relation.ispartofGazi University Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250316
dc.subjectHellmann
dc.subjectKratzer
dc.subjectN-dimensions
dc.titleApproximate Bound State Solutions of the Hellmann Plus Kratzer Potential in N-dimensional Space
dc.typeArticle

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