Related papers: On the calculation of bound-state energies supported by hyperbolic double well potentials

On the calculation of bound-state energies supported by hyperbolic double well potentials

URL: http://arxiv.org/abs/2012.05113v1
Date: Mon, 7 Dec 2020 21:52:13 GMT
Title: On the calculation of bound-state energies supported by hyperbolic double well potentials
Authors: Francisco M. Fern\'andez
Abstract summary: We obtain eigenvalues and eigenfunctions of the Schr"odinger equation with a hyperbolic double-well potential. We consider exact solutions for some particular values of the potential-strength parameter and also numerical energies for arbitrary values of this model.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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