On the eigenvalues of the harmonic oscillator with a Gaussian perturbation
Quantum Physics
2024-11-26 v1
Abstract
We test the analytical expressions for the first two eigenvalues of the harmonic oscillator with a Gaussian perturbation proposed recently. Our numerical eigenvalues show that those expressions are valid in an interval of the coupling parameter that is greater than the one estimated by the authors. We also calculate critical values of the coupling parameter and several exceptional points in the complex plane.
Keywords
Cite
@article{arxiv.2403.08767,
title = {On the eigenvalues of the harmonic oscillator with a Gaussian perturbation},
author = {Paolo Amore and Francisco M. Fernández and Javier Garcia},
journal= {arXiv preprint arXiv:2403.08767},
year = {2024}
}