TITLE:
Energy Spectrum for a Short-Range 1/r Singular Potential with a Non-Orbital Barrier Using the Asymptotic Iteration Method
AUTHORS:
Abdullah J. Sous, Abdulaziz D. Alhaidari
KEYWORDS:
Short-Range Three-Parameter Central Potential, Asymptotic Iteration Method, Potential Parameter Spectrum Method, J-Matrix, Diagonalizing Method, Energy Eigenvalues
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.1,
January
22,
2016
ABSTRACT: Using the asymptotic iteration method, we obtain the S-wave solution for a short-range three-parameter central potential with 1/r singularity and with a non-orbital barrier. To the best of our knowledge, this is the first attempt at calculating the energy spectrum for this potential, which was introduced by H. Bahlouli and A. D. Alhaidari and for which they obtained the “potential parameter spectrum”. Our results are also independently verified using a direct method of diagonalizing the Hamiltonian matrix in the J-matrix basis.