TITLE:
Numerical Solution of the Schrödinger Equation for a Short-Range Potential with Any l Angular Momentum
AUTHORS:
A. J. Sous, M. I. El-Kawni
KEYWORDS:
Schrödinger Equation, AIM, Eigen State, Angular Momentum
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.4,
April
27,
2018
ABSTRACT: Recently, the Asymptotic Iteration Method (AIM) was
used to calculate the energy spectrum for a short-range three parameters central potential which was introduced by H. Bahlouli
and A. D. Alhaidari. The S-orbital wave solution of the Schrödinger equation was obtained for different parameters of the potential. In this work, a non-zero angular momentum term is introduced to the problem and the energy eigenvalues were obtained for
different potential parameters. Our results show very good agreements compared
with other methods such as potential parameter spectrum method (PPSM) and the
complex scaling method (CSM).