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TMF, 1989, Volume 79, Number 1, Pages 79–92 (Mi tmf4811)  

Estimates of the scattering data in a Schrödinger spectral problem on the line

E. R. Lubenets


Abstract: For the Schrödinger spectral problem on the line when $k\in R$ the lower and upper estimates are obtained for the penetration and reflection coefficients in terms of the integral parameters of the potential and $|k|$. Necessary and sufficient conditions of the smallness of the tunneling effect are considered.

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English version:
Theoretical and Mathematical Physics, 1989, 79:1, 396–406

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Received: 22.01.1988

Citation: E. R. Lubenets, “Estimates of the scattering data in a Schrödinger spectral problem on the line”, TMF, 79:1 (1989), 79–92; Theoret. and Math. Phys., 79:1 (1989), 396–406

Citation in format AMSBIB
\Bibitem{Lou89}
\by E.~R.~Lubenets
\paper Estimates of~the scattering data in~a~Schr\"odinger spectral problem on~the line
\jour TMF
\yr 1989
\vol 79
\issue 1
\pages 79--92
\mathnet{http://mi.mathnet.ru/tmf4811}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1000945}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 79
\issue 1
\pages 396--406
\crossref{https://doi.org/10.1007/BF01015780}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1989CA79100008}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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