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A simple and explicit technique for the numerical solution of thetwo-particle, time-dependent Schr\"{o}dinger equation is assembled and tested.The technique can handle interparticle potentials that are arbitrary functionsof the coordinates of each particle, arbitrary initial and boundary conditions,and multi-dimensional equations. Plots and animations are given here and on theWorld Wide Web of the scattering of two wavepackets in one dimension.

Two-particle Schrödinger equation animations of wave packet–wave packet scattering