用Numerov算法求解一维无限深势阱的本征问题

On The Eigen Problem For The One-Dimension Infinite Deep Potential Well By Using Numerov Arithmetic

用Numerov算法求解一维无限深势阱的十个本征值以及基态、第一、第二和第三激发态波函数的数值解 ,所得到的数值结果和解析解吻合很好 。

In the present paper, by using Numerov arithmetic we work out the eigen problem for the one-dimension infinite deep potential well , and ten eigen values as well as the numeric solutions of wave function at ground state,the first , the second and the third excited state are obtained.. The numeric results are in agreement with the case of analysis, which shows our arithmetic is reliable and validity.