An analysis of the exactly solvable linear differential equations by the Modified Airy Function (MAF) method

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dc.contributor.authorDeniz, Coskun
dc.contributor.authorGerceklioglu, Murat
dc.date.accessioned2019-10-27T21:25:01Z
dc.date.available2019-10-27T21:25:01Z
dc.date.issued2011
dc.departmentEge Üniversitesien_US
dc.description.abstractAppropriate second order Linear Differential Equations (LDEs) which can be solved exactly by the Modified Airy Function (MAF) method, which normally gives approximate solutions in terms of Airy functions for Schrodinger-like LDEs, have been studied in three possible cases according to the MAF theory. The results of the exactly solvable LDEs have been classified in terms of two different family of LDEs with turning point and/or singular point parameter, one of which being a new class other than the known Time Independent Schrodinger's Equation (TISE) with a linear potential.en_US
dc.identifier.doi10.1007/s12648-011-0010-1
dc.identifier.endpage357en_US
dc.identifier.issn0973-1458
dc.identifier.issn0974-9845
dc.identifier.issn0973-1458en_US
dc.identifier.issn0974-9845en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage339en_US
dc.identifier.urihttps://doi.org/10.1007/s12648-011-0010-1
dc.identifier.urihttps://hdl.handle.net/11454/44730
dc.identifier.volume85en_US
dc.identifier.wosWOS:000290581700010en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIndian Assoc Cultivation Scienceen_US
dc.relation.ispartofIndian Journal of Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectWKB approximationen_US
dc.subjectModified Airy Functionsen_US
dc.subjectSemiclassical solution of the Schrodinger equationsen_US
dc.subjectOptical wave Guidesen_US
dc.titleAn analysis of the exactly solvable linear differential equations by the Modified Airy Function (MAF) methoden_US
dc.typeArticleen_US

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