Abstract
The paper considers the Schrödinger equation with an additional linear potential on the entire real line. A transformation operator with a condition at −∞ is constructed. The Gelfand-Levitan integral equation is obtained on the half-line (−∞, x).
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The authors are grateful to the referee for useful comments that contributed to the improvement of the content of the article.
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Russian Text © The Author(s), 2020, published in Funktsional’nyi Analiz i Ego Prilozheniya, 2020, Vol. 54, No. 1, pp. 93–96.
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Khanmamedov, A.K., Makhmudova, M.G. On the Transformation Operator for the Schrödinger Equation with an Additional Linear Potential. Funct Anal Its Appl 54, 73–76 (2020). https://doi.org/10.1134/S0016266320010116
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DOI: https://doi.org/10.1134/S0016266320010116