Multidimensional quantum dynamics with trajectories: a novel numerical implementation of Bohmian mechanics

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...

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Bibliographic Details
Published inChemical physics letters Vol. 332; no. 1; pp. 145 - 153
Main Authors Nerukh, Dmitry, Frederick, John H.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.12.2000
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Summary: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.
ISSN:0009-2614
1873-4448
DOI:10.1016/S0009-2614(00)01241-0