Solving Time-Dependent Schrodinger Equations with Perturbed Collocation Method
用摄动配置方法求解含时薛定谔方程

The so-called perturbed collocation method is used to the time-dependent Schrodinger equation and a novel kind of numerical integration based on the computational realization is proposed. A 2-stage 2-order and a 3-stage 4-order symplectic perturbed collocation methods are constructed and used tosimulate this Schrodinger equation numerically. The numerical experiments by using the two equivalent symplectic Runge-Kutta methods and two non-symplectic methods of the same order show that the new numerical integration method is effective.