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 demonstrat
Quantization of Higher-Order Constrained Lagrangian Systems Using the WKB Approximation
β Scribed by Eyad H. Hasan; Eqab M. Rabei; Humam B. Ghassib
- Book ID
- 111586546
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 96 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0020-7748
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π SIMILAR VOLUMES
The problem of stability for dynamical systems whose Lagrangian function depends on the derivatives of a higher order than one is studied. The difficulty of this analysis arises from the indefiniteness of the Hamiltonian, so that the well-known Lagrange-Dirichlet theorem cannot be used and the metho
Physical machinery of high mathematical order operating in industry increasingly nowadays requires the replacement of early analog controllers by imbedded digital systems. Using a 7th-order longwall shearer as the motivating case-study, the paper examines the possibility of easing the digital contro