Nanosystems: Physics, Chemistry, Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Nanosystems: Physics, Chemistry, Mathematics:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/nano150
  • https://www.mathnet.ru/eng/nano/v9/i2/p179
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Nanosystems: Physics, Chemistry, Mathematics
    Statistics & downloads:
    Abstract page:58
    Full-text PDF :58
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024