The numerical results obtained from precise integration can reach arbitrary accuracy within the computer round-off errors for linear Schrodinger equations, but they occupy a large number of computer memory. 用精细积分方法计算线性薛定谔方程的波函数,可以达到计算机舍入误差范围内的计算精度,但计算过程中产生的数据将占用计算机的大量内存。