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oai:uvadoc.uva.es:10324/408502025-02-21T12:28:50Zcom_10324_22154com_10324_954com_10324_894col_10324_22155

Fassari, Silvestro Gadella Urquiza, Manuel Glasser, M. Lawrence Nieto Calzada, Luis Miguel Rinaldi, F. 2020-05-16T10:36:23Z 2020-05-16T10:36:23Z 2019 Physica Scripta, 2019, vol. 94 0031-8949 http://uvadoc.uva.es/handle/10324/40850 10.1088/1402-4896/ab0589 055202 5 Physica Scripta 94 1402-4896 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. spa info:eu-repo/semantics/openAccess Spectral properties of the two-dimensional Schrödinger Hamiltonian with various solvable confinements in the presence of a central point perturbation info:eu-repo/semantics/article