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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 190, Pages 157–162 (Mi znsl4895)  
On the discrete spectrum of a perturbed periodic Schrödinger operator

S. V. Khryashchev
Full-text PDF (242 kB)
Abstract: A perturbed periodic Schrödinger operator is considered. Conditions for the discrete spectrum in a gap to be finite or infinite are stated. In the case of infinite spectrum a standard asymptotic formula for eigenvalues is justified under certain conditions. The results are formulated in terms of a model problem.
English version:
Journal of Mathematical Sciences, 1994, Volume 71, Issue 1, Pages 2269–2272
DOI: https://doi.org/10.1007/BF02111298
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. V. Khryashchev, “On the discrete spectrum of a perturbed periodic Schrödinger operator”, Investigations on linear operators and function theory. Part 19, Zap. Nauchn. Sem. LOMI, 190, Nauka, St. Petersburg, 1991, 157–162; J. Math. Sci., 71:1 (1994), 2269–2272
Citation in format AMSBIB
\Bibitem{Khr91}
\by S.~V.~Khryashchev
\paper On the discrete spectrum of a perturbed periodic Schr\"odinger operator
\inbook Investigations on linear operators and function theory. Part~19
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 190
\pages 157--162
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4895}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1111917}
\zmath{https://zbmath.org/?q=an:0825.47014}
\transl
\jour J. Math. Sci.
\yr 1994
\vol 71
\issue 1
\pages 2269--2272
\crossref{https://doi.org/10.1007/BF02111298}
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