Effect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential

Basit Öğe Kaydı
dc.authorid0000-0002-6813-8618
dc.contributor.authorSoylu, Asim
dc.contributor.authorBayrak, Orhan
dc.contributor.authorBoztosun, Ismail
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2012
dc.departmentNiğde ÖHÜ
dc.description.abstractWe investigate the effect of the isotropic velocity-dependent potentials on the bound state energy eigenvalues of the Morse potential for any quantum states. When the velocity-dependent term is used as a constant parameter, rho(r) = rho (0), the energy eigenvalues can be obtained analytically by using the Pekeris approximation. When the velocity-dependent term is considered as an harmonic oscillator type, rho(r) = rho (0) r (2), we show how to obtain the energy eigenvalues of the Morse potential without any approximation for any n and a"" quantum states by using numerical calculations. The calculations have been performed for different energy eigenvalues and different numerical values of rho (0), in order to show the contribution of the velocity-dependent potential on the energy eigenvalues of the Morse potential.
dc.description.sponsorshipTurkish Science and Research Council (TUBITAK) [109T373, 210T155, 110T338]; Turkish Academy of Sciences (TUBA-GEBIP); Akdeniz University Scientific Research Projects Unit; TUBITAK-BIDEP
dc.description.sponsorshipThis work was partly supported in part by the Turkish Science and Research Council (TUBITAK) with Grant No. 109T373, 210T155 and 110T338, the Turkish Academy of Sciences (TUBA-GEBIP), Akdeniz University Scientific Research Projects Unit. A. Soylu acknowledges the financial support of TUBITAK-BIDEP.
dc.identifier.doi10.2478/s11534-012-0018-y
dc.identifier.endpage959
dc.identifier.issn1895-1082
dc.identifier.issue4
dc.identifier.scopus2-s2.0-84864083179
dc.identifier.scopusqualityN/A
dc.identifier.startpage953
dc.identifier.urihttps://dx.doi.org/10.2478/s11534-012-0018-y
dc.identifier.urihttps://hdl.handle.net/11480/4556
dc.identifier.volume10
dc.identifier.wosWOS:000306484600021
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherVERSITA
dc.relation.ispartofCENTRAL EUROPEAN JOURNAL OF PHYSICS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectvelocity-dependent potential
dc.subjectasymptotic iteration method
dc.subjectanalytical solution
dc.subjectnumerical solution
dc.subjectSchrodinger equation
dc.subjectMorse potential
dc.titleEffect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential
dc.typeArticle

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