This article is cited in 8 scientific papers (total in 8 papers)
MATHEMATICS
Level crossings of eigenvalues of the Schrödinger Hamiltonian of the isotropic harmonic oscillator perturbed by a central point interaction in different dimensions
Abstract:
In this brief presentation, some striking differences between level crossings of eigenvalues in one dimension (harmonic or conic oscillator with a central nonlocal δ′-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, renormalisation, eigenvalues, level crossing.
Partial financial support is
acknowledged to the Spanish Junta de Castilla y Leon and FEDER (Project VA057U16) and MINECO (Project
MTM2014-57129-C2-1-P).
Citation:
S. Fassari, M. Gadella, M. L. Glasser, L. M. Nieto, F. Rinaldi, “Level crossings of eigenvalues of the Schrödinger Hamiltonian of the isotropic harmonic oscillator perturbed by a central point interaction in different dimensions”, Nanosystems: Physics, Chemistry, Mathematics, 9:2 (2018), 179–186
\Bibitem{FasGadGla18}
\by S.~Fassari, M.~Gadella, M.~L.~Glasser, L.~M.~Nieto, F.~Rinaldi
\paper Level crossings of eigenvalues of the Schr\"odinger Hamiltonian of the isotropic harmonic oscillator perturbed by a central point interaction in different dimensions
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2018
\vol 9
\issue 2
\pages 179--186
\mathnet{http://mi.mathnet.ru/nano150}
\crossref{https://doi.org/10.17586/2220-8054-2018-9-2-179-186}
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