标题： 超对称量子力学 显示英文标题

标题： SUSUSY quantum mechanics

摘要： 在薛定谔量子力学中，通常涉及微分“位移算符”的本征问题是可以精确求解的。在标准的超对称（SUSY）情形下，位移算符是一阶的。本文讨论了一种利用二阶位移算符生成可精确求解本征问题的技术。分析了这种方法与超对称之间的联系。作为一个例子，我们展示了存在一个双参数族的可精确求解哈密顿量，其中包含了亚伯拉罕-摩西势作为特例。 显示英文摘要

摘要： The exactly solvable eigenproblems in Schr\"odinger quantum mechanics typically involve the differential "shift operators". In the standard supersymmetric (SUSY) case, the shift operator turns out to be of first order. In this work, I discuss a technique to generate exactly solvable eigenproblems by using second order shift operators. The links between this method and SUSY are analysed. As an example, we show the existence of a two-parametric family of exactly solvable Hamiltonians, which contains the Abraham-Moses potentials as a particular case.