Transformation Operator for the Schrödinger Equation with Additional Exponential Potential

In this paper, we consider the one-dimensional Schrödinger equation on the semiaxis with an additional exponential potential. Using transformation operators with the asymptotics at infinity, a triangular representation of a special solution of this equation is found. An estimate is obtained with res...

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Bibliographic Details
Published in:Russian mathematics 2023-09, Vol.67 (9), p.68-75
Main Authors: Khanmamedov, A. Kh, Muradov, M. F.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Representations
Schrodinger equation
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Summary:In this paper, we consider the one-dimensional Schrödinger equation on the semiaxis with an additional exponential potential. Using transformation operators with the asymptotics at infinity, a triangular representation of a special solution of this equation is found. An estimate is obtained with respect to the kernel of the representation.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X23090062