A novel implementation of the de Broglie–Bohm mechanics is presented. The method employs the use of n-dimensional Delaunay tesselation for the purpose of computing the quantum potential term and is fully generalizable for the multidimensional case. We simulate the scattering of a Gaussian wavepacket from an Eckart barrier in two- and three-dimensions and compare our results against the dynamics obtained using a numerically exact propagation scheme.
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Funding: National Science Foundation under grant CHE-9727562.