TY - JOUR
ID - 8592
TI - Factorization method for fractional SchrÃ¶dinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c)
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Jafari, Hossein
AU - Sadeghi, Jafar
AU - Safari, Farzaneh
AU - Kubeka, Amos
AD - Department of Mathematics,
University of Mazandaran, Babolsar, Iran
AD - Physics Department, University of Mazandaran,
P. O. Box 4716-95447, Babolsar, Iran
AD - Department of Mathematical Sciences, University of South Africa,
P. O. Box 392, UNISA 0003, South Africa
Y1 - 2019
PY - 2019
VL - 7
IS - 2
SP - 199
EP - 205
KW - Factorization method
KW - Fractional Schr"odinger equation
KW - Laguerre equation
KW - Jacobi equation
DO -
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_8592.html
L1 - https://cmde.tabrizu.ac.ir/article_8592_d070d098b3ad5fea48bfcf615203dbe1.pdf
ER -