Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4672
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dc.contributor.authorSogami, Ikuo S.-
dc.contributor.authorKoizumi, Kouzou-
dc.contributor.authorMir-Kasimov, Rufat M.-
dc.date.accessioned2016-05-27T11:34:16Z
dc.date.available2016-05-27T11:34:16Z
dc.date.issued2003-10
dc.identifier.citationSogami, I. S., Koizumi, K., and Mir-Kasimov, R. M. (2003). q-deformed and c-Deformed Harmonic Oscillators. Progress of Theoretical Physics, 110(4), 819-840. doi:10.1143/PTP.110.819en_US
dc.identifier.issn0033-068X
dc.identifier.issn0033-068X-
dc.identifier.issn1347-4081-
dc.identifier.urihttp://doi.org/10.1143/PTP.110.819
dc.identifier.urihttp://hdl.handle.net/11147/4672
dc.description.abstractHamilton functions of classical deformed oscillators (c-deformed oscillators) are derived from Hamiltonians of g-deformed oscillators of the Macfarlane and Dubna types. A new scale parameter, lq, with the dimension of length, is introduced to relate a dimensionless parameter characterizing the deformation with the natural length of the harmonic oscillator. Contraction from q-deformed oscillators to c-deformed oscillators is accomplished by keeping lq finite while taking the limit ℏ → 0. The c-deformed Hamilton functions for both types of oscillators are found to be invariant under discrete translations: the step of the translation for the Dubna oscillator is half of that for the Macfarlane oscillator. The c-deformed oscillator of the Macfarlane type has propagating solutions in addition to localized ones. Reinvestigation of the g-deformed oscillator carried out in the light of these findings for the c-deformed systems proves that the g-deformed systems are invariant under the same translation symmetries as the c-deformed systems and have propagating waves of the Bloch typeen_US
dc.language.isoenen_US
dc.publisherYukawa Institute for Theoretical Physicsen_US
dc.relation.ispartofProgress of Theoretical Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHamilton functionsen_US
dc.subjectc-deformed oscillatorsen_US
dc.subjectq-deformed oscillatorsen_US
dc.subjectSchrödinger equationen_US
dc.titleq-deformed and c-Deformed Harmonic Oscillatorsen_US
dc.typeArticleen_US
dc.institutionauthorMir-Kasimov, Rufat M.-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume110en_US
dc.identifier.issue4en_US
dc.identifier.startpage819en_US
dc.identifier.endpage840en_US
dc.identifier.wosWOS:000186549400010en_US
dc.identifier.scopus2-s2.0-0346271539en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1143/PTP.110.819-
dc.relation.doi10.1143/PTP.110.819en_US
dc.coverage.doi10.1143/PTP.110.819en_US
dc.identifier.scopusqualityN/A-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.openairetypeArticle-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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