Geodesic
Level crossings of eigenvalues of the Schr\"odinger Hamiltonian of the isotropic harmonic oscillator perturbed by a central point interaction in different dimensions
Nanosistemy: fizika, himiâ, matematika, Tome 9 (2018) no. 2, pp. 179-186

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In this brief presentation, some striking differences between level crossings of eigenvalues in one dimension (harmonic or conic oscillator with a central nonlocal $\delta'$-interaction) or three dimensions (isotropic harmonic oscillator with a three-dimensional delta located at the origin) and those occurring in the two-dimensional analogue of these models will be highlighted.
Keywords: harmonic oscillator, point interactions, eigenvalues, level crossing.
Mots-clés : renormalisation 
@article{NANO_2018_9_2_a3,
     author = {S. Fassari and M. Gadella and M. L. Glasser and L. M. Nieto and F. Rinaldi},
     title = {Level crossings of eigenvalues of the {Schr\"odinger} {Hamiltonian} of the isotropic harmonic oscillator perturbed by a central point interaction in different dimensions},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {179--186},
     publisher = {mathdoc},
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     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2018_9_2_a3/}
}
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S. Fassari; M. Gadella; M. L. Glasser; L. M. Nieto; F. Rinaldi. Level crossings of eigenvalues of the Schr\"odinger Hamiltonian of the isotropic harmonic oscillator perturbed by a central point interaction in different dimensions. Nanosistemy: fizika, himiâ, matematika, Tome 9 (2018) no. 2, pp. 179-186. http://geodesic.mathdoc.fr/item/NANO_2018_9_2_a3/