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.

中文翻译：

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具有附加指数势的薛定谔方程的变换算子

 抽象的

在本文中，我们考虑半轴上具有附加指数势的一维薛定谔方程。使用渐近无穷远的变换算子，找到该方程的特殊解的三角形表示。获得关于表示的核的估计。