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Jafari, Hossein, Sadeghi, Jafar, Safari, Farzaneh, Kubeka, Amos. (1398). Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c). سامانه مدیریت نشریات علمی, 7(2), 199-205.
Hossein Jafari; Jafar Sadeghi; Farzaneh Safari; Amos Kubeka. "Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c)". سامانه مدیریت نشریات علمی, 7, 2, 1398, 199-205.
Jafari, Hossein, Sadeghi, Jafar, Safari, Farzaneh, Kubeka, Amos. (1398). 'Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c)', سامانه مدیریت نشریات علمی, 7(2), pp. 199-205.
Jafari, Hossein, Sadeghi, Jafar, Safari, Farzaneh, Kubeka, Amos. Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c). سامانه مدیریت نشریات علمی, 1398; 7(2): 199-205.

Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c)

Computational Methods for Differential Equations
مقاله 4، دوره 7، شماره 2، تیر 2019، صفحه 199-205    اصل مقاله (323.14 K)
نوع مقاله: Research Paper
نویسندگان
Hossein Jafari* 1؛ Jafar Sadeghi2؛ Farzaneh Safari1؛ Amos Kubeka3
1Department of Mathematics, University of Mazandaran, Babolsar, Iran
2Physics Department, University of Mazandaran, P. O. Box 4716-95447, Babolsar, Iran
3Department of Mathematical Sciences, University of South Africa, P. O. Box 392, UNISA 0003, South Africa
چکیده
In this paper, we consider a $D$-dimensional fractional Schr\"odinger equation with a Coulomb potential. By using the associated Laguerre and Jacobi equations, we obtain the wave function and energy spectrum and this then enable us to separate this equation in terms of the radial and angular momentum parts respectively. Also the associated Laguerre and Jacobi equations makes it possible to further factorize the $D$-dimensional fractional Schr\"odinger equation such that the resulting equations can be expressed in terms of the first order operators which are basically raising and lowering operators.
کلیدواژه‌ها
Factorization method؛ Fractional Schr"odinger equation؛ Laguerre equation؛ Jacobi equation
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