Energy spectrum and applications of Eckart plus Hellmann potential in hyperspherical coordinates

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dc.contributor.authorOzfidan, Aysel
dc.date.accessioned2025-03-17T12:27:24Z
dc.date.available2025-03-17T12:27:24Z
dc.date.issued2024
dc.departmentTarsus Üniversitesi
dc.description.abstractWe investigate the approximate bound-state solutions of the N-dimensional Schro center dot dinger equation with a combination of Eckart and Hellmann potentials via the asymptotic iteration approach. By the use of the Greene-Aldrich approximation, which is valid for small values of the screening parameter, we establish the N-dimensional energy spectrum and the N-dimensional radial wave function in approximate analytic form. In hyperspherical coordinates, the normalized radial wave function is expressed in terms of hypergeometric and Jacobi polynomials. To double-check the energy spectrum in hyperspherical coordinates, we utilize polynomial solutions in view of the asymptotic iteration approach. The expressions for the expectation values of inverse position, square of inverse position, kinetic energy, and square of momentum are derived in hyperspherical coordinates by using the Hellmann-Feynmann theorem. We also present the analytically calculated energy eigenvalues for Eckart plus Hellmann potential. We deduce special forms of the relevant potential, such as Eckart, Hellmann, and Hulthe ' n potentials.
dc.identifier.doi10.1016/j.cjph.2024.01.010
dc.identifier.endpage88
dc.identifier.issn0577-9073
dc.identifier.scopus2-s2.0-85183032310
dc.identifier.scopusqualityQ1
dc.identifier.startpage77
dc.identifier.urihttps://doi.org/10.1016/j.cjph.2024.01.010
dc.identifier.urihttps://hdl.handle.net/20.500.13099/2227
dc.identifier.volume88
dc.identifier.wosWOS:001176250000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorOzfidan, Aysel
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofChinese Journal of Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250316
dc.subjectEckart
dc.subjectHellmann
dc.subjectHulthe'n
dc.subjectN -dimensional space
dc.subjectSchro dinger
dc.titleEnergy spectrum and applications of Eckart plus Hellmann potential in hyperspherical coordinates
dc.typeArticle

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