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On the Inverse Scattering Problem for the Schrodinger Equation with Increasing Potential

Year: 2025

Type: article

Abstract: The one-dimensional Schrödinger equation on the entire axis is considered, the potential of which at the left end grows as a quadratic function, and at the right end as a linear function.The inverse scattering problem is studied by the method of transformation operators.The main integral equations of the Marchenko type are obtained, allowing the inverse problem to be solved.

Source: Azerbaijan Journal of Mathematics

DOI: 10.59849/2218-6816.2025.2.105

Authors: A.Kh. Khanmamedov, A.F. Mamedova

Institution: Baku State University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4413028835

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