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The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications
M. Abu-shady, H. M. Fath-Allah
By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential e…
The Generalized Fractional NU Method for the Diatomic Molecules in the Deng-Fan Model
M. Abu-Shady, E. M. Khokha, T. A. Abdel-Karim
A solution of the fractional N-dimensional radial Schrodinger equation with the Deng-Fan potential is investigated by the generalized fractional NU method. The analytical formulas…
Effect of an External Magnetic Field on Some Statistical Properties of the 2+1 Dirac-Moshinsky Oscillator
A. S. -F. Obada, M. M. A. Ahmed, M. Abu-Shady +1
The 2+1 Dirac-Moshinsky oscillator ( 2+1 DMO ) is mapped into the generalized Jaynes-Cummings model (GJCM), in which an external magnetic field is coupled to an external isospin fi…
Mapping of the 2+1 Dirac-Moshinsky Oscillator Coupled to an External Isospin Field onto Jaynes-Cummings Model
A. S. -F. Obada, M. M. A. Ahmed, M. Abu-Shady +1
In this paper, the 2+1 Dirac-Moshinsky oscillator (2+1 DMO) coupled to an external isospin field is mapped onto the Jaynes-Cummings model (JCM), which describes the interaction bet…
Analytic Solution of Dirac Equation for Extended Cornell Potential Using the Nikiforov-Uvarov Method
M. Abu-Shady
The extended Cornell potential which the harmonic oscillator potential is included in the original Cornell potential. The Dirac equation is solved by reducing the Dirac equation to…