Inverse Scattering Problem For The Schrödinger Equation With An Additional Quadratic Potential On The Entire Axis


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We consider the Schrödinger equation with an additional quadratic potential on the entire axis and use the transformation operator method to study the direct and inverse problems of the scattering theory. We obtain the main integral equations of the inverse problem and prove that the basic equations are uniquely solvable.

Sobre autores

I. Guseinov

Baku State University; Azerbaijan University; Institute of Mathematics and Mechanics

Email: agil_khanmamedov@yahoo.com
Azerbaijão, Baku; Baku; Baku

A. Khanmamedov

Baku State University; Azerbaijan University; Institute of Mathematics and Mechanics

Autor responsável pela correspondência
Email: agil_khanmamedov@yahoo.com
Azerbaijão, Baku; Baku; Baku

A. Mamedova

Baku State University; Azerbaijan University

Email: agil_khanmamedov@yahoo.com
Azerbaijão, Baku; Baku

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