中文摘要：

能量算符本征值问题构成的二阶变系数微分方程边值问题总可以用幂级数方法求解,也可能存在技巧性阶梯算符方法的简捷解法。探讨阶梯算符方法对一般的二阶变系数微分方程边值问题求解是否可用的判据,给出阶梯算符构造思路和二阶变系数微分方程边值问题求解思路.

英文摘要：

The second order differential equation boundary value problem of Energy operator eigenvalue problems can always be solved using power series method,there may be techniques of ladder operator method simple and convenient solution.Exploring the ladder operator method for general second order differential equation boundary value problem solving is a available criterion.Ladder operators are given construct ideas and solving second order differential equation boundary value problem of the idea.