Analysis of quantum systems subject to inverse trigonometry Scarf plus Coulomb potential in N-dimensions

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dc.contributor.authorOzfidan, Aysel
dc.date.accessioned2025-03-17T12:25:44Z
dc.date.available2025-03-17T12:25:44Z
dc.date.issued2023
dc.departmentTarsus Üniversitesi
dc.description.abstractWe present approximate solutions of the N-dimensional Klein-Gordon equation in the presence of a superposition of inverse trigonometry Scarf potential and Coulomb potential through asymptotic iteration approach. With the purpose of dealing with the lN-1 -state, we use Greene-Aldrich approximation which is valid for the small values of the screening parameter. The analytical expressions for the relativistic energy eigenvalues and the corresponding eigenfunctions are established in hyperspherical coordinates. The normalized hyper-radial wavefunction is expressed in terms of hypergeometric and Jacobi polynomials. We analyze the dependences of the relativistic energy levels on the dimensions. We also discuss the effect of the screening parameter on the relativistic energy spectrum. The expectation values of inverse position r-1, the square of inverse position r-2, kinetic energy T and square of momentum p2 in N-dimensional space are reported using the Hellmann-Feynmann theorem. Discussing the special cases of the relevant potential, we show the accuracy of our results.
dc.description.sponsorshipThe author is grateful to the reviewers for their valuable comments.
dc.description.sponsorshipThe author is grateful to the reviewers for their valuable comments.
dc.identifier.doi10.1088/1402-4896/ad0345
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85179845415
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ad0345
dc.identifier.urihttps://hdl.handle.net/20.500.13099/1839
dc.identifier.volume98
dc.identifier.wosWOS:001090720400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOzfidan, Aysel
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250316
dc.subjecthyperspherical coordinates
dc.subjectklein-gordon equation
dc.subjectinverse trigonometric scarf potential
dc.titleAnalysis of quantum systems subject to inverse trigonometry Scarf plus Coulomb potential in N-dimensions
dc.typeArticle

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