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Nanosystems: Physics, Chemistry, Mathematics, 2018, Volume 9, Issue 2, Pages 179–186
DOI: https://doi.org/10.17586/2220-8054-2018-9-2-179-186 (Mi nano150) 		 
This article is cited in 7 scientific papers (total in 7 papers)

MATHEMATICS

Level crossings of eigenvalues of the Schrödinger Hamiltonian of the isotropic harmonic oscillator perturbed by a central point interaction in different dimensions

S. Fassariabc, M. Gadellaa, M. L. Glasserad, L. M. Nietoa, F. Rinaldibc

a Departamento de Física Teorica, Atómica y Óptica, U. Valladolid, 47011 Valladolid, Spain
b CERFIM, PO Box 1132, Via F. Rusca 1, CH-6601 Locarno, Switzerland
c Dipartimento di Fisica Nucleare, Subnucleare e delle Radiazioni, Univ. degli Studi Guglielmo Marconi, Via Plinio 44, I-00193 Rome, Italy
d Department of Physics, Clarkson University, Potsdam, NY, 13699 USA
Full-text PDF (462 kB) Citations (7)
DOI: https://doi.org/10.17586/2220-8054-2018-9-2-179-186
Abstract: 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, renormalisation, eigenvalues, level crossing.
Funding agency Grant number
Ministerio de Economía y Competitividad de España MTM2014-57129-C2-1-P
Federación Española de Enfermedades Raras VA057U16
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).
Received: 08.01.2018
Revised: 24.01.2018
Bibliographic databases:
Document Type: Article
PACS: 02.30.Gp, 02.30.Lt, 02.30.Sa, 02.30.Tb, 03.65.Db, 03.65.Ge, 68.65.Hb
Language: English
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
Citation in format AMSBIB
\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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000431269000004}
\elib{https://elibrary.ru/item.asp?id=32760267}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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