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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 379, Pages 142–178 (Mi znsl3841)  
This article is cited in 2 scientific papers (total in 2 papers)

Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator

A. A. Fedotov

St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia
Full-text PDF (1003 kB) Citations (2)
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Abstract: The review is devoted to an analog of the complex WKB method developed to study solutions of an one dimensional periodic Schrödinger equation with an adiabatic perturbation. We illustrate how to use the method by examples. Bibl. 30 titles.
Key words and phrases: eriodic Schrödinger operator, adiabatic perturbation, complex WKB method.
Received: 12.10.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 173, Issue 3, Pages 320–339
DOI: https://doi.org/10.1007/s10958-011-0253-6
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. A. Fedotov, “Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator”, Mathematical problems in the theory of wave propagation. Part 39, Zap. Nauchn. Sem. POMI, 379, POMI, St. Petersburg, 2010, 142–178; J. Math. Sci. (N. Y.), 173:3 (2011), 320–339
Citation in format AMSBIB
\Bibitem{Fed10}
\by A.~A.~Fedotov
\paper Complex WKB method for adiabatic perturbations of a~periodic Schr\"odinger operator
\inbook Mathematical problems in the theory of wave propagation. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 379
\pages 142--178
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3841}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 173
\issue 3
\pages 320--339
\crossref{https://doi.org/10.1007/s10958-011-0253-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952242042}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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