Email this article Inverse Scattering Problem For The Schrödinger Equation With An Additional Quadratic Potential On The Entire Axis
- Authors: Guseinov I.M.1,2,3, Khanmamedov A.K.1,2,3, Mamedova A.F.1,2
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Affiliations:
- Baku State University
- Azerbaijan University
- Institute of Mathematics and Mechanics
- Issue: Vol 195, No 1 (2018)
- Pages: 538-547
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171710
- DOI: https://doi.org/10.1134/S0040577918040050
- ID: 171710
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Abstract
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.
About the authors
I. M. Guseinov
Baku State University; Azerbaijan University; Institute of Mathematics and Mechanics
Email: agil_khanmamedov@yahoo.com
Azerbaijan, Baku; Baku; Baku
A. Kh. Khanmamedov
Baku State University; Azerbaijan University; Institute of Mathematics and Mechanics
Author for correspondence.
Email: agil_khanmamedov@yahoo.com
Azerbaijan, Baku; Baku; Baku
A. F. Mamedova
Baku State University; Azerbaijan University
Email: agil_khanmamedov@yahoo.com
Azerbaijan, Baku; Baku
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