Quantization of fractional systems using WKB approximation
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Date
2010
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Elsevier Science
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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
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Keywords
Fractional Derivatives, Fractional WKB Approximation, Hamilton's Principle Function
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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
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Source
Communications In Nonlinear Science And Numerical Simulation
Volume
15
Issue
4
Start Page
807
End Page
811