Quantization of Fractional Systems Using Wkb Approximation
| dc.contributor.author | Muslih, Sami I. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Rabei, Eqab M. | |
| dc.date.accessioned | 2016-06-07T07:52:17Z | |
| dc.date.accessioned | 2025-09-18T15:43:46Z | |
| dc.date.available | 2016-06-07T07:52:17Z | |
| dc.date.available | 2025-09-18T15:43:46Z | |
| dc.date.issued | 2010 | |
| 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.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.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.issn | 1007-5704 | |
| dc.identifier.issn | 1878-7274 | |
| dc.identifier.scopus | 2-s2.0-70350618074 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2009.05.022 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14039 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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 | en_US |
| dc.title | Quantization of fractional systems using WKB approximation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Muslih, Sami/Aaf-4974-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 811 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 807 | en_US |
| gdc.description.volume | 15 | en_US |
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| gdc.oaire.keywords | Integral operators | |
| gdc.oaire.keywords | Hamilton's principle | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional WKB approximation | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Hamilton's principle function | |
| gdc.oaire.keywords | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory | |
| gdc.oaire.keywords | Lagrange's equations | |
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