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Quantization of fractional systems using WKB approximation

โœ Scribed by Eqab M. Rabei; Sami I. Muslih; Dumitru Baleanu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
165 KB
Volume
15
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Variable Taylor realization and improved
Variable Taylor realization and improved approximation of FIR fractional delay systems
โœ Samadi, Saed; Iwakura, Hiroshi ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 107 KB

A modular realization, based on the Taylor structure, is proposed for maximally at fractional delay FIR systems. The realization enjoys independence of the multiplier coe cients to changes of the system order, availability of closed-form formulas and recurrence for the multiplier coe cients, require