Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2493
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dc.contributor.authorAtılgan Büyükaşık, Şirin-
dc.contributor.authorPashaev, Oktay-
dc.contributor.authorTığrak Ulaş, Esra-
dc.date.accessioned2016-11-22T09:52:01Z
dc.date.available2016-11-22T09:52:01Z
dc.date.issued2009
dc.identifier.citationAtılgan Büyükaşık, Ş. , Pashaev, O., and Tığrak Ulaş, E. (2009). Exactly solvable quantum Sturm-Liouville problems. Journal of Mathematical Physics, 50(7). doi:10.1063/1.3155370en_US
dc.identifier.issn0022-2488
dc.identifier.issn0022-2488-
dc.identifier.urihttp://dx.doi.org/10.1063/1.3155370
dc.identifier.urihttp://hdl.handle.net/11147/2493
dc.description.abstractThe harmonic oscillator with time-dependent parameters covers a broad spectrum of physical problems from quantum transport, quantum optics, and quantum information to cosmology. Several methods have been developed to quantize this fundamental system, such as the path integral method, the Lewis-Riesenfeld time invariant method, the evolution operator or dynamical symmetry method, etc. In all these methods, solution of the quantum problem is given in terms of the classical one. However, only few exactly solvable problems of the last one, such as the damped oscillator or the Caldirola-Kanai model, have been treated. The goal of the present paper is to introduce a wide class of exactly solvable quantum models in terms of the Sturm-Liouville problem for classical orthogonal polynomials. This allows us to solve exactly the corresponding quantum parametric oscillators with specific damping and frequency dependence, which can be considered as quantum Sturm-Liouville problems.en_US
dc.description.sponsorshipİzmir Institute of Technology Grant No. BAP 2008IYTE32en_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.subjectQuantum mechanicsen_US
dc.subjectSturm–Liouville problemen_US
dc.subjectOscillatorsen_US
dc.subjectLagrangian mechanicsen_US
dc.subjectPolynomialsen_US
dc.titleExactly solvable quantum Sturm-Liouville problemsen_US
dc.typeArticleen_US
dc.authoridTR114692en_US
dc.authoridTR57865en_US
dc.institutionauthorAtılgan Büyükaşık, Şirin-
dc.institutionauthorPashaev, Oktay-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume50en_US
dc.identifier.issue7en_US
dc.identifier.wosWOS:000268614500002en_US
dc.identifier.scopus2-s2.0-68749094176en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1063/1.3155370-
dc.relation.doi10.1063/1.3155370en_US
dc.coverage.doi10.1063/1.3155370en_US
dc.identifier.wosqualityQ3-
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept04.02. Department of Mathematics-
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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