Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7618
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dc.contributor.authorAtılgan Büyükaşık, Şirin-
dc.date.accessioned2020-01-23T07:09:26Z-
dc.date.available2020-01-23T07:09:26Z-
dc.date.issued2018-08en_US
dc.identifier.citationAtılgan Büyükaşık, Ş. (2018). Squeezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillator. Journal of Mathematical Physics, 59(8). doi:10.1063/1.5002186en_US
dc.identifier.issn0022-2488-
dc.identifier.urihttps://doi.org/10.1063/1.5002186-
dc.identifier.urihttps://hdl.handle.net/11147/7618-
dc.description.abstractThe evolution operator of a Caldirola-Kanai type quantum parametric oscillator with a generalized quadratic Hamiltonian is obtained using the Wei-Norman Lie algebraic approach, and time evolution of the eigenstates of a harmonic oscillator and Glauber coherent states is found explicitly. Behavior of this oscillator is investigated under the influence of the external mixed term B(t)(qp+pq)/2, which affects the squeezing properties of the wave packets, and linear terms D0(t)q, E0(t)p responsible for their displacement in time. According to this, we construct all exact quantum models with different parameters B(t), for which the structure of the Caldirola-Kanai oscillator in position space is preserved. Then, for each model, we obtain explicit solutions and analyze the squeezing and displacement properties of the wave packets according to the frequency modification by B(t) and periodic forces in the corresponding classical equation of motion.en_US
dc.description.sponsorshipTUBITAK (116F206)en_US
dc.language.isoenen_US
dc.publisherAmerican Institute of Physicsen_US
dc.relation.ispartofJournal of Mathematical Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaldirola-Kanai oscillatoren_US
dc.subjectOscillatorsen_US
dc.subjectQuantum oscillatorsen_US
dc.subjectQuantum parametric oscillatorsen_US
dc.subjectLie algebrasen_US
dc.titleSqueezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillatoren_US
dc.typeArticleen_US
dc.authorid0000-0001-7731-070Xen_US
dc.institutionauthorAtılgan Büyükaşık, Şirin-
dc.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume59en_US
dc.identifier.issue8en_US
dc.identifier.wosWOS:000443724800025en_US
dc.identifier.scopus2-s2.0-85051167802en_US
dc.relation.tubitakinfo:eu-repo/grantAgreement/TUBITAK/MFAG/116F206-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1063/1.5002186-
dc.relation.doi10.1063/1.5002186en_US
dc.coverage.doi10.1063/1.5002186en_US
dc.identifier.scopusqualityQ1-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.fulltextWith Fulltext-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.languageiso639-1en-
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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