Quantization of Fractional Systems Using Wkb Approximation
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Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Average
Influence
Top 10%
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Average
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.
Description
Keywords
Fractional Derivative, Fractional Wkb Approximation, Hamilton'S Principle Function, Integral operators, Hamilton's principle, Fractional derivatives and integrals, fractional WKB approximation, fractional derivative, Hamilton's principle function, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Lagrange's equations
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
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
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
10
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
15
Issue
4
Start Page
807
End Page
811
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Citations
CrossRef : 7
Scopus : 12
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Mendeley Readers : 6
SCOPUS™ Citations
12
checked on Feb 27, 2026
Web of Science™ Citations
8
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Page Views
2
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