一类定态薛定谔方程的势能解及求解方法

Potential solutions of a class of time-independent Schrodinger equation and solving method

讨论一类定态薛定谔方程的势能解。在利用反散射方法的基础之下,通过设辅助函数并利用初等的微积分的相应性质进行直接运算得到了相应的势能解。

It is discussed to the potential solutions of a class of time-independent Schrodinger equa- tion. Under the case of using inverse scattering method, corresponding to potential solutions are solved by let auxiliary functions and utilizing the nature of elementary calculus, and then directly operator.