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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 182, Pages 113–122 (Mi znsl4737)  
Point interactions with internal structure as a limit of separable potentials

K. A. Makarov, S. E. Cheremshantsev
Full-text PDF (418 kB)
Abstract: The one-center point interactions with an additional “internal” canal are considered. The corresponding generalised Krein's resolvents in the functional sector are approximated by means of rank-one non-local interactions-in weak resolvent sense. The cut-off procedure in $p$-representation is formulated.
English version:
Journal of Soviet Mathematics, 1992, Volume 62, Issue 3, Pages 2795–2802
DOI: https://doi.org/10.1007/BF01671003
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: K. A. Makarov, S. E. Cheremshantsev, “Point interactions with internal structure as a limit of separable potentials”, Boundary-value problems of mathematical physics and related problems of function theory. Part 21, Zap. Nauchn. Sem. LOMI, 182, "Nauka", Leningrad. Otdel., Leningrad, 1990, 113–122; J. Soviet Math., 62:3 (1992), 2795–2802
Citation in format AMSBIB
\Bibitem{MakChe90}
\by K.~A.~Makarov, S.~E.~Cheremshantsev
\paper Point interactions with internal structure as a limit of separable potentials
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~21
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 182
\pages 113--122
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4737}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1064100}
\zmath{https://zbmath.org/?q=an:0783.47044|0737.47033}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 62
\issue 3
\pages 2795--2802
\crossref{https://doi.org/10.1007/BF01671003}
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