Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues

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dc.authorid0000-0002-6813-8618
dc.contributor.authorBayrak, O.
dc.contributor.authorSoylu, A.
dc.contributor.authorBoztosun, I.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2011
dc.departmentNiğde ÖHÜ
dc.description.abstractWe investigate the effect of isotropic velocity-dependent potentials on the bound state energy eigenvalues for the first time for any quantum states of the Coulomb and harmonic oscillator potentials within the framework of the asymptotic iteration method. When the velocity-dependent term is selected as a constant parameter rho(0), we present that the energy eigenvalues can be obtained analytically for both Coulomb and harmonic oscillator potentials. However, when the velocity-dependent term is considered as a harmonic oscillator type rho(0)r(2), taking the velocity-dependent term as a perturbation, we present how to obtain the energy eigenvalues of the Coulomb and harmonic oscillator potentials for any.. and l quantum states by using perturbation expansion and numerical calculations in the asymptotic iteration method procedure.
dc.description.sponsorshipTurkish Science and Research Council (TUBITAK) [109T373, 210T155]; Turkish Academy of Sciences (TUBA-GEBIP); TUBITAK-BIDEP; Akdeniz University Scientific Research Projects Unit
dc.description.sponsorshipPartially supported by the Turkish Science and Research Council (TUBITAK) under Grant Nos 109T373 and 210T155, the Turkish Academy of Sciences (TUBA-GEBIP), Akdeniz University Scientific Research Projects Unit. O. Bayrak and A. Soylu acknowledge the financial support of TUBITAK-BIDEP.
dc.identifier.doi10.1088/0256-307X/28/4/040304
dc.identifier.issn0256-307X
dc.identifier.issue4
dc.identifier.scopus2-s2.0-79955775588
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://dx.doi.org/10.1088/0256-307X/28/4/040304
dc.identifier.urihttps://hdl.handle.net/11480/4734
dc.identifier.volume28
dc.identifier.wosWOS:000289195200009
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherIOP PUBLISHING LTD
dc.relation.ispartofCHINESE PHYSICS LETTERS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleEffect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues
dc.typeArticle

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