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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 186, Pages 107–114 (Mi znsl4851)  
Interaction of a free wave with a semicrystall

Yu. E. Karpeshina
Full-text PDF (325 kB)
Abstract: The paper deal with Schroedinger operator with a semiperiodic potential in $L_2(\mathrm{R}^n)$, $n=2$. Incident and reflected waves in a free semispace are constructed. An asymptotic expansion for reflection matrix are given in a high energy region.
English version:
Journal of Mathematical Sciences, 1995, Volume 73, Issue 3, Pages 366–369
DOI: https://doi.org/10.1007/BF02362821
Bibliographic databases:
Document Type: Article
UDC: 517.947
Language: Russian
Citation: Yu. E. Karpeshina, “Interaction of a free wave with a semicrystall”, Mathematical problems in the theory of wave propagation. Part 20, Zap. Nauchn. Sem. LOMI, 186, Nauka, St. Petersburg, 1990, 107–114; J. Math. Sci., 73:3 (1995), 366–369
Citation in format AMSBIB
\Bibitem{Kar90}
\by Yu.~E.~Karpeshina
\paper Interaction of a free wave with a semicrystall
\inbook Mathematical problems in the theory of wave propagation. Part~20
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 186
\pages 107--114
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4851}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1098008}
\zmath{https://zbmath.org/?q=an:0835.35104|0744.35029}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 73
\issue 3
\pages 366--369
\crossref{https://doi.org/10.1007/BF02362821}
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