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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 6, Number 3, Pages 415–424 (Mi tmf3650)  
This article is cited in 11 scientific papers (total in 11 papers)

On the Schrödinger equation with a random potential

L. A. Pastur
Full-text PDF (900 kB) Citations (11)
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Abstract: A study is made of the ergodic properties of various quantities connected with a Schrödinger equation with a random potential. For the case when the potential is a metrically transitive (ergodic) random field with realizations that are bounded below it is shown that these quantities tend to nonrandom limits with probability 1 when the volume in which the equation is considered tends to infinity. It is shown that these limiting values are independent of the boundary conditions.
Received: 12.06.1970
English version:
Theoretical and Mathematical Physics, 1971, Volume 6, Issue 3, Pages 299–306
DOI: https://doi.org/10.1007/BF01030111
Bibliographic databases:
Language: Russian
Citation: L. A. Pastur, “On the Schrödinger equation with a random potential”, TMF, 6:3 (1971), 415–424; Theoret. and Math. Phys., 6:3 (1971), 299–306
Citation in format AMSBIB
\Bibitem{Pas71}
\by L.~A.~Pastur
\paper On~the~Schr\"{o}dinger equation with a~random potential
\jour TMF
\yr 1971
\vol 6
\issue 3
\pages 415--424
\mathnet{http://mi.mathnet.ru/tmf3650}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=473499}
\zmath{https://zbmath.org/?q=an:0208.12903}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 6
\issue 3
\pages 299--306
\crossref{https://doi.org/10.1007/BF01030111}
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  • https://www.mathnet.ru/eng/tmf/v6/i3/p415
    • This publication is cited in the following 11 articles:
    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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    Abstract page:555
    Full-text PDF :216
    References:81
    First page:1
     
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