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Quantization of fractional systems using WKB approximation

dc.authorscopusid 6602156175
dc.authorscopusid 7003657106
dc.authorscopusid 7005872966
dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.authorwosid Muslih, Sami/Aaf-4974-2020
dc.contributor.author Rabei, Eqab M.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Muslih, Sami I.
dc.contributor.author Baleanu, Dumitru
dc.contributor.other Matematik
dc.date.accessioned 2016-06-07T07:52:17Z
dc.date.available 2016-06-07T07:52:17Z
dc.date.issued 2010
dc.department Çankaya University en_US
dc.department-temp [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Rabei, Eqab M.] Al Al Bayt Univ, Dept Phys, Mafraq 25113, Jordan; [Muslih, Sami I.] So Illinois Univ, Carbondale, IL 62901 USA; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania en_US
dc.description.abstract The Caputo's fractional derivative is used to quantize fractional systems using (WKB) approximation. The wave function is build such that the phase factor is the same as the Hamilton's principle function S. The energy eigenvalue is found to be in exact agreement with the classical case. To demonstrate our approach an example is investigated in details. (C) 2009 Elsevier B.V. All rights reserved. en_US
dc.description.publishedMonth 4
dc.description.sponsorship Fulbright Foundation en_US
dc.description.sponsorship One of the authors (S.I. Muslih) thank to Fulbright Foundation for financial support. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citation Rabei, E.M., Muslih, S.I., Baleanu, D. (2010). Quantization of fractional systems using WKB approximation. Communications In Nonlinear Science And Numerical Simulation, 15(4), 807-811. http://dx.doi.org/10.1016/j.cnsns.2009.05.022 en_US
dc.identifier.doi 10.1016/j.cnsns.2009.05.022
dc.identifier.endpage 811 en_US
dc.identifier.issn 1007-5704
dc.identifier.issn 1878-7274
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-70350618074
dc.identifier.scopusquality Q1
dc.identifier.startpage 807 en_US
dc.identifier.uri https://doi.org/10.1016/j.cnsns.2009.05.022
dc.identifier.volume 15 en_US
dc.identifier.wos WOS:000272308100001
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 12
dc.subject Fractional Derivative en_US
dc.subject Fractional Wkb Approximation en_US
dc.subject Hamilton'S Principle Function en_US
dc.title Quantization of fractional systems using WKB approximation tr_TR
dc.title Quantization of Fractional Systems Using Wkb Approximation en_US
dc.type Article en_US
dc.wos.citedbyCount 8
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 26a93bcf-09b3-4631-937a-fe838199f6a5

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