Asymptotic behavior of generalized eigenvalues of the Schr\"odinger operator
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 4, pp. 9-15
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The Schrödinger operator on the real line with compactly supported potential is considered. An asymptotic analysis of complex poles of the transmission coefficient $1/a(k)$ for some $\delta$-type potentials is fulfilled. We are planning to use these poles producing effective methods of approximate solutions of the inverse scattering problem in the one-dimensional case.
@article{VMJ_2014_16_4_a1,
author = {M. Sh. Badakhov and O. Y. Veremeenko and A. B. Shabat},
title = {Asymptotic behavior of generalized eigenvalues of the {Schr\"odinger} operator},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {9--15},
publisher = {mathdoc},
volume = {16},
number = {4},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a1/}
}
TY - JOUR AU - M. Sh. Badakhov AU - O. Y. Veremeenko AU - A. B. Shabat TI - Asymptotic behavior of generalized eigenvalues of the Schr\"odinger operator JO - Vladikavkazskij matematičeskij žurnal PY - 2014 SP - 9 EP - 15 VL - 16 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a1/ LA - ru ID - VMJ_2014_16_4_a1 ER -
%0 Journal Article %A M. Sh. Badakhov %A O. Y. Veremeenko %A A. B. Shabat %T Asymptotic behavior of generalized eigenvalues of the Schr\"odinger operator %J Vladikavkazskij matematičeskij žurnal %D 2014 %P 9-15 %V 16 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a1/ %G ru %F VMJ_2014_16_4_a1
M. Sh. Badakhov; O. Y. Veremeenko; A. B. Shabat. Asymptotic behavior of generalized eigenvalues of the Schr\"odinger operator. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 4, pp. 9-15. http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a1/