Bound-state solutions of the Schr\"odinger equation for two novel potentials
Quantum Physics
2022-09-09 v1 Mathematical Physics
math.MP
Abstract
We solve the one-dimensional Schr\"odinger equation for the bound states of two potential models with a rich structure as shown by their "spectral phase diagram". These potentials do not belong to the well-known class of exactly solvable problems. The solutions are finite series of square integrable functions written in terms of the Jacobi polynomials.
Keywords
Cite
@article{arxiv.2109.05069,
title = {Bound-state solutions of the Schr\"odinger equation for two novel potentials},
author = {A. D. Alhaidari and I. A. Assi},
journal= {arXiv preprint arXiv:2109.05069},
year = {2022}
}
Comments
16 pages, 2 tables, 4 figures. arXiv admin note: text overlap with arXiv:2108.08978