Numerical Solution of the Schrödinger Equation for a Short-Range Potential with Any l Angular Momentum - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.4, April 2018

Numerical Solution of the Schrödinger Equation for a Short-Range Potential with Any l Angular Momentum ()

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DOI: 10.4236/jamp.2018.64077 865 Downloads 1,912 Views Citations

Author(s)

A. J. Sous¹, M. I. El-Kawni²

Affiliation(s)

¹Department of Mathematics, Faculty of Technology and Applied Sciences, Al-Quds Open University, Nablus, Palestine.
²Department of Science, Faculty of Technology and Applied Sciences, Al-Quds Open University, Nablus, Palestine.

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).

KEYWORDS

Schrödinger Equation, AIM, Eigen State, Angular Momentum

Share and Cite:

Sous, A. and El-Kawni, M. (2018) Numerical Solution of the Schrödinger Equation for a Short-Range Potential with Any l Angular Momentum. Journal of Applied Mathematics and Physics, 6, 901-909. doi: 10.4236/jamp.2018.64077.

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