On the calculation of bound-state energies supported by hyperbolic double well potentials
Quantum Physics
2020-12-10 v1
Abstract
We obtain eigenvalues and eigenfunctions of the Schr\"{o}dinger equation with a hyperbolic double-well potential. We consider exact polynomial solutions for some particular values of the potential-strength parameter and also numerical energies for arbitrary values of this model parameter. We test the numerical method by means of a suitable exact asymptotic expression for the eigenvalues and also calculate critical values of the strength parameter that are related to the number of bound states supported by the potential.
Keywords
Cite
@article{arxiv.2012.05113,
title = {On the calculation of bound-state energies supported by hyperbolic double well potentials},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:2012.05113},
year = {2020}
}