标题： Heun类的势 显示英文标题

标题： Potentials of the Heun class

摘要： 我们回顾了生成势的不同方法，使得一维薛定谔方程（ODSE）可以转化为超几何方程。 我们将其结果与之前的研究进行比较，并通过新的发现来补充该主题。 我们的主要结果是推导出新的势类，使得ODSE可以转化为Heun方程及其合流情况。 还考虑了广义的Heun方程。 显示英文摘要

摘要： We review different methods of generating potentials such that the one-dimensional Schr\"{o}dinger equation (ODSE) can be transformed into the hypergeometric equation. We compare our results with previous studies, and complement the subject with new findings. Our main result is to derive new classes of potentials such that the ODSE can be transformed into the Heun equation and its confluent cases. The generalized Heun equation is also considered.