RT info:eu-repo/semantics/article
T1 Spectral properties of the two-dimensional Schrödinger Hamiltonian with various solvable confinements in the presence of a central point perturbation
A1 Fassari, Silvestro
A1 Gadella Urquiza, Manuel
A1 Glasser, M. Lawrence
A1 Nieto Calzada, Luis Miguel
A1 Rinaldi, F.
AB We study three solvable two-dimensional systems perturbed by a point interaction centered at theorigin. The unperturbed systems are the isotropic harmonic oscillator, a square pyramidalpotential and a combination thereof. We study the spectrum of the perturbed systems. We showthat, while most eigenvalues are not affected by the point perturbation, a few of them are stronglyperturbed. We show that for some values of one parameter, these perturbed eigenvalues may takelower values than the immediately lower eigenvalue, so that level crossings occur. These levelcrossings are studied in some detail.
SN 0031-8949
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/40850
UL http://uvadoc.uva.es/handle/10324/40850
LA spa
NO Physica Scripta, 2019, vol. 94
DS UVaDOC
RD 23-nov-2024