辛算法数值求解一维薛定谔方程特征值

摘要

In this paper, one-dimensional Schrodinger equation is transformed into Hamihonian canonical equation by means of Legendre transformation, and the cigenvalues of one-dimensional Schroodinger equation are computed by symplectic schemes under Morse potential field and harmonic oscillator. Numerical values are compared and then plots of wave function in agreement with eigenvalues are given.%将一维薛定谔方程利用Legendre变换转化为等价哈密顿正则方程，采取辛格式数值求解莫尔斯势场和谐振子势场下一维薛定谔方程特征值的数值解，并做了数值比较，最后给出了特征值对应的波函数图像．