Position-dependent mass Lagrangians: nonlocal transformations, Euler-Lagrange invariance and exact solvability

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dc.contributor.authorMustafa, Omar
dc.date.accessioned2016-06-21T09:59:07Z
dc.date.available2016-06-21T09:59:07Z
dc.date.issued2015
dc.departmentEastern Mediterranean University, Faculty of Arts and Sciences, Department of Physicsen_US
dc.descriptionDue to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publicationen_US
dc.description.abstractA general nonlocal point transformation for position-dependent mass (PDM) Lagrangians and their mapping into a 'constant unit-mass' Lagrangians in the generalized coordinates is introduced. The conditions on the invariance of the related Euler-Lagrange equations are reported. The harmonic oscillator linearization of the PDM Euler-Lagrange equations is discussed through some illustrative examples including harmonic oscillators, shifted harmonic oscillators, a quadratic nonlinear oscillator, and a Morse-type oscillator. The Mathews-Lakshmanan nonlinear oscillators are reproduced and some 'shifted' Mathews-Lakshmanan nonlinear oscillators are reported. The mapping of an isotonic nonlinear oscillator into a PDM deformed isotonic oscillator is also discussed.en_US
dc.identifier.citationO. Mustafa: J. Phys. A: Math. Theor. 48 (2015) 225206. arXiv:1411.4405 "Position-dependent mass Lagrangians: nonlocal transformations, Euler-Lagrange invariance and exact solvability" SCI-journal.en_US
dc.identifier.doi10.1088/1751-8113/48/22/225206
dc.identifier.endpage11en_US
dc.identifier.issn1751-8113(print)
dc.identifier.issn1751-8121(online)
dc.identifier.issue22en_US
dc.identifier.orcidTR217733en_US
dc.identifier.scopus2-s2.0-84929377365
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttp://dx.doi.org/10.1088/1751-8113/48/22/225206
dc.identifier.urihttps://hdl.handle.net/11129/2783
dc.identifier.volume48en_US
dc.identifier.wosWOS:000354870900010
dc.identifier.wosqualityQ2
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherIOP Publishingen_US
dc.relation.ispartofJournal Of Physics A-Mathematical And Theoretical
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSYSTEMS, PHYSICS, MATHEMATICALen_US
dc.subjectORDINARY DIFFERENTIAL-EQUATIONS, Euler-Lagrange equations invarianceen_US
dc.subjectclassical position-dependent mass, OSCILLATORen_US
dc.subjectPHYSICS, MULTIDISCIPLINARYen_US
dc.subjectPOTENTIALS, nonlocal point transformation, Mathematical Physicsen_US
dc.titlePosition-dependent mass Lagrangians: nonlocal transformations, Euler-Lagrange invariance and exact solvabilityen_US
dc.typeArticle

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