Bound-states for generalized trigonometric and hyperbolic P\"oschl-Teller potentials
Quantum Physics
2022-03-14 v3
Abstract
We use the "tridiagonal representation approach" to solve the time-independent Schr\"odinger equation for the bound states of generalized versions of the trigonometric and hyperbolic P\"oschl-Teller potentials. These new solvable potentials do not belong to the conventional class of exactly solvable problems. The solutions are finite series of square integrable functions written in terms of the Jacobi polynomial.
Cite
@article{arxiv.2108.08978,
title = {Bound-states for generalized trigonometric and hyperbolic P\"oschl-Teller potentials},
author = {A. D. Alhaidari and I. A. Assi and A. Mebirouk},
journal= {arXiv preprint arXiv:2108.08978},
year = {2022}
}
Comments
19 pages, 2 tables, 4 figures, typo "geometric" corrected as "trigonometric"