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 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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Divisions: College of Engineering & Physical Sciences > Aston Institute of Urban Technology and the Environment (ASTUTE)
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences
Additional Information: © 2000, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Funding: National Science Foundation under grant CHE-9727562.
Publication ISSN: 1873-4448
Last Modified: 03 Jan 2024 08:05
Date Deposited: 20 Oct 2021 07:47
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://www.sci ... 2410?via%3Dihub (Publisher URL)
PURE Output Type: Article
Published Date: 2000-12-15
Authors: Nerukh, Dimitry (ORCID Profile 0000-0001-9005-9919)
Frederick, John H.

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