Energy Spectrum for a Short-Range 1/r Singular Potential with a Non-Orbital Barrier Using the Asymptotic Iteration Method

作     者：Abdullah J. Sous Abdulaziz D. Alhaidari Abdullah J. Sous;Abdulaziz D. Alhaidari

作者机构：Faculty of Technology and Applied Sciences Al-Quds Open University Tulkarm Palestine Saudi Center for Theoretical Physics Jeddah Saudi Arabia 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2016年第4卷第1期

页      面：79-85页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Short-Range Three-Parameter Central Potential Asymptotic Iteration Method Potential Parameter Spectrum Method J-Matrix Diagonalizing Method Energy Eigenvalues 

摘      要：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.