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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 103–114 (Mi znsl3768)  
Scattering on an anisotropic potential in a constant electric field

E. L. Korotyaeva, A. B. Pushnitskiib

a Saint-Petersburg State Electrotechnical University
b Saint-Petersburg State University
Full-text PDF (498 kB)
Abstract: The scattering of a particle on an anisotropic potential in a constant electric field is considered. Conditions on the anisotropic decay of the potential that insure asymptotic completeness without modifications of the wave operators are obtained. The paper uses the mixed approach wherein the Enss method is applied to one part of the variables, whereas the other part is treated using the smoothness technique. Bibl. 12 titles.
Received: 10.09.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2768–2775
DOI: https://doi.org/10.1007/BF02433992
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. L. Korotyaev, A. B. Pushnitskii, “Scattering on an anisotropic potential in a constant electric field”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 103–114; J. Math. Sci. (New York), 91:2 (1998), 2768–2775
Citation in format AMSBIB
\Bibitem{KorPus95}
\by E.~L.~Korotyaev, A.~B.~Pushnitskii
\paper Scattering on an anisotropic potential in a~constant electric field
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 103--114
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434273}
\zmath{https://zbmath.org/?q=an:0902.35112|0890.35153}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2768--2775
\crossref{https://doi.org/10.1007/BF02433992}
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