Abstract
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.
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We thank a reviewer for useful comments that contributed to improving this paper.
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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
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Translated by E. Seifina
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Khanmamedov, A.K., Muradov, M.F. Transformation Operator for the Schrödinger Equation with Additional Exponential Potential. Russ Math. 67, 68–75 (2023). https://doi.org/10.3103/S1066369X23090062
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DOI: https://doi.org/10.3103/S1066369X23090062