https://doi.org/10.1140/epjp/s13360-024-05736-5
Regular Article
On the eigenvalues of the harmonic oscillator with a Gaussian perturbation
1
Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, Mexico
2
División Química Teórica, INIFTA, Blvd. 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina
3
Instituto de Física La Plata, CONICET and Departamento de Física, UNLP, C.C. 67, 1900, La Plata, Argentina
b
fernande@quimica.unlp.edu.ar
Received:
13
March
2024
Accepted:
10
October
2024
Published online:
23
October
2024
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
