The first author has recently investigated a type of Hyers-Ulam stability of the one-dimensional time independent Schrodinger equation when the relevant system has a rectangular potential barrier of finite height. In the present paper, we will investigate a type of Hyers-Ulam stability of the Schrodinger equation with the symmetric parabolic wall potential.

中文翻译：

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具有对称抛物线势壁的一维时间无关薛定谔方程的摄动

第一作者最近研究了当相关系统具有有限高度的矩形势垒时一维时间无关薛定谔方程的一类 Hyers-Ulam 稳定性。在本文中，我们将研究具有对称抛物线壁势的薛定谔方程的一类 Hyers-Ulam 稳定性。