Use of quantum self-friction potentials and forces in standard convention for study of harmonic oscillator

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dc.contributor.authorGuseinov, Israfil Isa
dc.contributor.authorMamedov, B. A.
dc.date.accessioned2025-01-27T20:29:25Z
dc.date.available2025-01-27T20:29:25Z
dc.date.issued2017
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this paper, the physical nature of quantum usual and self-friction (SF) harmonic oscillators is presented. The procedure for studying these harmonic oscillators is identical; therefore, we can benefit from the theory of the usual harmonic oscillator. To study the SF harmonic oscillator, using analytical formulae for the L(pl*)-SF Laguerre polynomials (L(p(l)*)-SFLPs) and L(alpha*)-modified SFLPs (L(alpha*)-MSFLPs) in standard convention, the V(p(l)*)-SF potentials (V(p(l)*)-SFPs), V(alpha*)-modified SFPs (V(alpha*)-MSFPs), F(p(l)*)-SF forces (F(p(l)*)-SFFs) and F(alpha*)-modified SFFs (F(alpha*)-MSFFs) are investigated, where p(l)*=2l+2-alpha* and alpha* is the integer (alpha*=alpha, -infinity<= 2) or non-integer (alpha*not equal alpha, -infinity<3) SF quantum number. We note that the potentials (V(p?l)-SFPs and V(??)-MSFPs), and forces (F(p?l)-SFFs and F(??)-MSFFs), respectively, are independent functions. It is shown that the numerical values of these independent functions are the same, i.e., V(p(l)*)num=V-num((pl)*()) and F-num((pl)*)=F-num(p(l)*). The dependence of the SF harmonic oscillator as a function of the distance is analyzed. The presented relationships are valid for arbitrary values of parameters.
dc.identifier.doi10.1007/s12648-016-0947-1
dc.identifier.endpage376
dc.identifier.issn0973-1458
dc.identifier.issn0974-9845
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85014475049
dc.identifier.scopusqualityQ2
dc.identifier.startpage371
dc.identifier.urihttps://doi.org/10.1007/s12648-016-0947-1
dc.identifier.urihttps://hdl.handle.net/20.500.12428/22938
dc.identifier.volume91
dc.identifier.wosWOS:000400378300003
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIndian Assoc Cultivation Science
dc.relation.ispartofIndian Journal of Physics
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectHarmonic oscillator
dc.subjectStandard convention
dc.subjectLaguerre polynomials
dc.subjectSelf-friction quantum numbers
dc.titleUse of quantum self-friction potentials and forces in standard convention for study of harmonic oscillator
dc.typeArticle

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