中文摘要：

首先对含时薛定谔方程的空间变量进行离散，而后对含时部分进行时间平均处理，采用精细积分方法模拟其随时间的演化过程．数值结果显示该方法是有效的，二阶的近似方法能达到四阶以上的计算精度，而且是无条件稳定的．

英文摘要：

The spatial variable of the time-dependent Schr6dinger equation was discretized,and the time-dependent part was treated by using the time average technique ,then the time evolution of the system was simulated by the precise intergration method. The numerical results showed that this method was effective, and the second-order method was accurate up to fourth-order. Furthermore ,it was unconditionally stable.