On the inverse scattering problem for the one-dimensional Schrödinger equation with growing potential

We consider a one-dimensional Schrödinger equation on the entire axis whose potential rapidly decreases at the left end and infinitely increases at the right end. By the method of transformation operators, we study the inverse scattering problem. We establish conditions for the scattering data under...

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Bibliographic Details
Date:2018
Main Authors: Guseinov, I. M., Khanmamedov, A. Kh., Гусейнов, И. М., Ханмамедов, А. Х.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2018
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1643
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal