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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 102, Number 1, Pages 74–82 (Mi tmf1250)  
This article is cited in 6 scientific papers (total in 6 papers)

Multidimensional discrete Schrödinger equation with limit periodic potential

Yu. P. Chuburin

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Full-text PDF (899 kB) Citations (6)
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Abstract: It is established that the discrete Schrödinger equation with a small limit periodic potential has a non-trivial solution with the limit periodic modulus for the dense set of the spectrum, which includes the maximal and minimal points.
Received: 24.01.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 102, Issue 1, Pages 53–59
DOI: https://doi.org/10.1007/BF01017455
Bibliographic databases:
Language: Russian
Citation: Yu. P. Chuburin, “Multidimensional discrete Schrödinger equation with limit periodic potential”, TMF, 102:1 (1995), 74–82; Theoret. and Math. Phys., 102:1 (1995), 53–59
Citation in format AMSBIB
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\by Yu.~P.~Chuburin
\paper Multidimensional discrete Schr\"odinger equation with limit periodic potential
\jour TMF
\yr 1995
\vol 102
\issue 1
\pages 74--82
\mathnet{http://mi.mathnet.ru/tmf1250}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348621}
\zmath{https://zbmath.org/?q=an:0857.34072}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 1
\pages 53--59
\crossref{https://doi.org/10.1007/BF01017455}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RM76500008}
Linking options:
  • https://www.mathnet.ru/eng/tmf1250
  • https://www.mathnet.ru/eng/tmf/v102/i1/p74
    • This publication is cited in the following 6 articles:
    1. Yulia Karpeshina, Young-Ran Lee, “Spectral properties of a limit-periodic Schrödinger operator in dimension two”, JAMA, 120:1 (2013), 1  crossref
    2. Yulia Karpeshina, Young-Ran Lee, 186, Methods of Spectral Analysis in Mathematical Physics, 2009, 257  crossref
    3. Yulia Karpeshina, Young-Ran Lee, “Absolutely Continuous Spectrum of a Polyharmonic Operator with a Limit Periodic Potential in Dimension Two”, Communications in Partial Differential Equations, 33:9 (2008), 1711  crossref
    4. Yulia Karpeshina, Young-Ran Lee, “Spectral properties of polyharmonic operators with limit-periodic potential in dimension two”, J Anal Math, 102:1 (2007), 225  crossref
    5. Yulia Karpeshina, Young-Ran Lee, “On polyharmonic operators with limit-periodic potential in dimension two”, Electron. Res. Announc. Amer. Math. Soc., 12:14 (2006), 113  crossref
    6. Yu. P. Chuburin, “On Schrodinger equation for the plane film with the limit periodic lattice”, Theoret. and Math. Phys., 106:1 (1996), 108–117  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :131
    References:94
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