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

• Datum: 2018
• Hauptverfasser: Guseinov, I. M., Khanmamedov, A. Kh., Гусейнов, И. М., Ханмамедов, А. Х.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1643
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...