Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2591
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dc.contributor.authorAtılgan Büyükaşık, Şirin-
dc.contributor.authorPashaev, Oktay-
dc.date.accessioned2016-12-09T08:41:12Z
dc.date.available2016-12-09T08:41:12Z
dc.date.issued2010-12-01
dc.identifier.citationAtılgan Büyükaşık, Ş., and Pashaev, O. (2010). Madelung representation of damped parametric quantum oscillator and exactly solvable Schrödinger-Burgers equations. Journal of Mathematical Physics, 51(12). doi:10.1063/1.3524505en_US
dc.identifier.issn0022-2488
dc.identifier.issn0022-2488-
dc.identifier.urihttp://doi.org/10.1063/1.3524505
dc.identifier.urihttp://hdl.handle.net/11147/2591
dc.description.abstractWe construct a Madelung fluid model with time variable parameters as a dissipative quantum fluid and linearize it in terms of Schrödinger equation with time-dependent parameters. It allows us to find exact solutions of the nonlinear Madelung system in terms of solutions of the Schrödinger equation and the corresponding classical linear ordinary differential equation with variable frequency and damping. For the complex velocity field, the Madelung system takes the form of a nonlinear complex Schrödinger-Burgers equation, for which we obtain exact solutions using complex Cole-Hopf transformation. In particular, we give exact results for nonlinear Madelung systems related with Caldirola-Kanai-type dissipative harmonic oscillator. Collapse of the wave function in dissipative models and possible implications for the quantum cosmology are discussed. © 2010 American Institute of Physics.en_US
dc.description.sponsorshipIzmir Institute of Technologyen_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.subjectSchrödinger equationen_US
dc.subjectFluid equationsen_US
dc.subjectHydrodynamicsen_US
dc.subjectExact solutionsen_US
dc.titleMadelung representation of damped parametric quantum oscillator and exactly solvable Schrödinger-Burgers equationsen_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.volume51en_US
dc.identifier.issue12en_US
dc.identifier.wosWOS:000285768900008en_US
dc.identifier.scopus2-s2.0-78650710692en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1063/1.3524505-
dc.relation.doi10.1063/1.3524505en_US
dc.coverage.doi10.1063/1.3524505en_US
dc.identifier.wosqualityQ2-
dc.identifier.scopusqualityQ2-
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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