Abstract: 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.

Key words: one-dimensional scattering, computer simulation, Hamiltonian, Gaussian wave packets