This article is cited in 2 papers

Asymptotic behavior of generalized eigenvalues of the Schrödinger operator

M. Sh. Badakhov^a, O. Y. Veremeenko^b, A. B. Shabat<sup>ca

a</sup> Karachay-Cherkess State University, Karachaevsk, Russia
^b Southern Federal University, Rostov-on-Don, Russia
^c Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Russia

Abstract: 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.

Key words: inverse scattering problem, zeros of entire functions.

UDC: 517.928

Received: 05.09.2014