Inverse Scattering Problem For The Schrödinger Equation With An Additional Quadratic Potential On The Entire Axis
- Авторы: Guseinov I.M.1,2,3, Khanmamedov A.K.1,2,3, Mamedova A.F.1,2
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Учреждения:
- Baku State University
- Azerbaijan University
- Institute of Mathematics and Mechanics
- Выпуск: Том 195, № 1 (2018)
- Страницы: 538-547
- Раздел: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171710
- DOI: https://doi.org/10.1134/S0040577918040050
- ID: 171710
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Аннотация
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.
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Об авторах
I. Guseinov
Baku State University; Azerbaijan University; Institute of Mathematics and Mechanics
Email: agil_khanmamedov@yahoo.com
Азербайджан, Baku; Baku; Baku
A. Khanmamedov
Baku State University; Azerbaijan University; Institute of Mathematics and Mechanics
Автор, ответственный за переписку.
Email: agil_khanmamedov@yahoo.com
Азербайджан, Baku; Baku; Baku
A. Mamedova
Baku State University; Azerbaijan University
Email: agil_khanmamedov@yahoo.com
Азербайджан, Baku; Baku
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