Energy spectrum for a short-range 1/r singular potential with a non-orbital barrier using the asymptotic iteration method
Quantum Physics
2016-01-26 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1512.06274,
title = {Energy spectrum for a short-range 1/r singular potential with a non-orbital barrier using the asymptotic iteration method},
author = {A. J. Sous and A. D. Alhaidari},
journal= {arXiv preprint arXiv:1512.06274},
year = {2016}
}
Comments
8 pages, 2 Tables, 2 Figures