Finite series representation for the bound states of a spiked isotropic oscillator with inverse-quartic singularity
Quantum Physics
2022-04-11 v2 Mathematical Physics
math.MP
Abstract
We use the tridiagonal representation approach to obtain an exact solution of the three-dimensional radial Schr\"odinger equation for a spiked oscillator with inverse quartic singularity and for all angular momenta. The solution is a finite series of square integrable functions written in terms of the Bessel polynomial.
Keywords
Cite
@article{arxiv.2107.03627,
title = {Finite series representation for the bound states of a spiked isotropic oscillator with inverse-quartic singularity},
author = {A. D. Alhaidari},
journal= {arXiv preprint arXiv:2107.03627},
year = {2022}
}
Comments
15 pages, 4 tables, 1 figure. arXiv admin note: text overlap with arXiv:2103.03349