一维量子散射问题是量子力学课程中的一个重要内容.在课程的教学过程中，人们往往只关注平面波的散射问题，对于更加真实的高斯波包的讨论比较少见.另一方面，人们往往只关注反射系数，透射系数等物理量的计算，对散射问题中的时间演化问题讨论较少.本工作中，我们使用Crank-Nicolson数值计算方法研究一系列高斯波包在一维势场中的含时演化问题.通过对有限高势垒散射、截断谐振子型势场散射、双势垒共振隧穿、Aharonov-Bohm效应等物理现象的研究，不仅可以加深我们对一维量子散射问题的理解，也为我们分析任意形状一维势中量子态的散射问题提供了一般方法.

In (elementary) quantum mechanics, one-dimensional particle scattering is quite important. Due to the computational complexity of quantum mechanics, few models can clearly and intuitively qualitatively understand the whole process of one-dimensional particle scattering without manual solving, and even many models cannot obtain an analytical solution. Through computer simulation, it is not only possible to obtain the most accurate numerical solution in a very short time, but also to intuitively understand the process of one-dimensional scattering in the form of images and animations. In addition, through the simulation and analysis of several common examples, the understanding of one-dimensional scattering problems can be effectively deepened.