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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 4, Pages 74–77
DOI: https://doi.org/10.4213/faa3157 (Mi faa3157) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Brief communications

Two-Dimensional von Neumann–Wigner Potentials with a Multiple Positive Eigenvalue

R. G. Novikova, I. A. Taimanovbc, S. P. Tsarevd

a École Polytechnique, Centre de Mathématiques Appliquées
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State University
d Institute of Space and Information Technologies, Siberian Federal University
Full-text PDF (159 kB) Citations (7)
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DOI: https://doi.org/10.4213/faa3157
Abstract: By the Moutard transformation method we construct two-dimensional Schrödinger operators with real smooth potentials decaying at infinity and having a multiple positive eigenvalue. These potentials are rational functions of spatial variables and their sines and cosines.
Keywords: two-dimensional Schrödinger operator, Moutard transformation, positive eigenvalues.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.A18.21.0866
1.1462.2014/К
Ministry of Education and Science of the Republic of Kazakhstan 1431/ГФ
Received: 02.08.2013
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 4, Pages 295–297
DOI: https://doi.org/10.1007/s10688-014-0073-9
Bibliographic databases:
Document Type: Article
UDC: 517.95+517.984.5
Language: Russian
Citation: R. G. Novikov, I. A. Taimanov, S. P. Tsarev, “Two-Dimensional von Neumann–Wigner Potentials with a Multiple Positive Eigenvalue”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 74–77; Funct. Anal. Appl., 48:4 (2014), 295–297
Citation in format AMSBIB
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    • 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
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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