2024-03-29T22:22:20Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/408502021-06-24T07:22:16Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
Spectral properties of the two-dimensional Schrödinger Hamiltonian with various solvable confinements in the presence of a central point perturbation
Fassari, Silvestro
Gadella Urquiza, Manuel
Glasser, M. Lawrence
Nieto Calzada, Luis Miguel
Rinaldi, F.
We study three solvable two-dimensional systems perturbed by a point interaction centered at the
origin. The unperturbed systems are the isotropic harmonic oscillator, a square pyramidal
potential and a combination thereof. We study the spectrum of the perturbed systems. We show
that, while most eigenvalues are not affected by the point perturbation, a few of them are strongly
perturbed. We show that for some values of one parameter, these perturbed eigenvalues may take
lower values than the immediately lower eigenvalue, so that level crossings occur. These level
crossings are studied in some detail.
2020-05-16T10:36:23Z
2020-05-16T10:36:23Z
2019
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
https://doi.org/10.1088/1402-4896/ab0589
Physica Scripta, 2019, vol. 94
0031-8949
http://uvadoc.uva.es/handle/10324/40850
055202
5
Physica Scripta
94
1402-4896
spa
info:eu-repo/semantics/openAccess
application/pdf