MATHEMATICS

Inverse scattering problem for the discret Schrödinger operator with separable potential

L. E. Baranova

Udmurt State University, Izhevsk

Abstract: The Schrödinger operator on the form $H=H_0+V$, acting in the space $l^2(\mathbb Z)$ where $V=\lambda(\cdot,\varphi_0)\varphi_0$ is studied. The uniqueness of the inverse problem is proved.

UDC: 517.958 : 513.145.6

Received: 30.10.2006