Quantum pseudo-harmonic oscillator potential in non-Euclidean space: application to diatomic molecules

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dc.contributor.authorOzfidan, Aysel
dc.date.accessioned2025-03-17T12:25:44Z
dc.date.available2025-03-17T12:25:44Z
dc.date.issued2025
dc.departmentTarsus Üniversitesi
dc.description.abstractThe present work analyzes a physical system with a quantum pseudo-harmonic oscillator in three-dimensional constant curvature spaces within the framework of non-relativistic theory. We present expressions for the energy equation and radial wavefunctions that depend on the curvature parameter kappa, using the functional analysis approach and the asymptotic iteration method. Additionally, we calculate the energy eigenvalues for diatomic molecules N2, H2, and ScH as a function of the constant curvature kappa. Using the Hellmann-Feynmann theorem, we derive expressions for the curvature-dependent expectation values of r-2 and p2, which we detail for the diatomic molecule system in this work. Furthermore, we perform a comparative analysis of the results for non-Euclidean space (spherical and hyperbolic spaces with constant curvature) and Euclidean space.
dc.identifier.doi10.1088/1402-4896/ada5cc
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85215381697
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ada5cc
dc.identifier.urihttps://hdl.handle.net/20.500.13099/1838
dc.identifier.volume100
dc.identifier.wosWOS:001398131800001
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.subjectcurved spaces
dc.subjectdiatomic molecules
dc.subjectexpectation values
dc.titleQuantum pseudo-harmonic oscillator potential in non-Euclidean space: application to diatomic molecules
dc.typeArticle

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