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https://hdl.handle.net/11147/4672
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Sogami, Ikuo S. | - |
dc.contributor.author | Koizumi, Kouzou | - |
dc.contributor.author | Mir-Kasimov, Rufat M. | - |
dc.date.accessioned | 2016-05-27T11:34:16Z | |
dc.date.available | 2016-05-27T11:34:16Z | |
dc.date.issued | 2003-10 | |
dc.identifier.citation | Sogami, 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.110.819 | en_US |
dc.identifier.issn | 0033-068X | |
dc.identifier.issn | 0033-068X | - |
dc.identifier.issn | 1347-4081 | - |
dc.identifier.uri | http://doi.org/10.1143/PTP.110.819 | |
dc.identifier.uri | http://hdl.handle.net/11147/4672 | |
dc.description.abstract | Hamilton 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 type | en_US |
dc.language.iso | en | en_US |
dc.publisher | Yukawa Institute for Theoretical Physics | en_US |
dc.relation.ispartof | Progress of Theoretical Physics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Hamilton functions | en_US |
dc.subject | c-deformed oscillators | en_US |
dc.subject | q-deformed oscillators | en_US |
dc.subject | Schrödinger equation | en_US |
dc.title | q-deformed and c-Deformed Harmonic Oscillators | en_US |
dc.type | Article | en_US |
dc.institutionauthor | Mir-Kasimov, Rufat M. | - |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.volume | 110 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 819 | en_US |
dc.identifier.endpage | 840 | en_US |
dc.identifier.wos | WOS:000186549400010 | en_US |
dc.identifier.scopus | 2-s2.0-0346271539 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1143/PTP.110.819 | - |
dc.relation.doi | 10.1143/PTP.110.819 | en_US |
dc.coverage.doi | 10.1143/PTP.110.819 | en_US |
dc.identifier.scopusquality | N/A | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
crisitem.author.dept | 04.02. 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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