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

Dimitry Nerukh; John H. Frederick

doi:10.1016/S0009-2614(00)01241-0

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

Dimitry Nerukh, John H. Frederick^*

^*Corresponding author for this work

College of Engineering and Physical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	145-153
Number of pages	9
Journal	Chemical Physics Letters
Volume	332
Issue number	1-2
DOIs	https://doi.org/10.1016/S0009-2614(00)01241-0
Publication status	Published - 15 Dec 2000

Bibliographical note

© 2000, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Funding: National Science Foundation under grant CHE-9727562.

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10.1016/S0009-2614(00)01241-0

Multidimensional quantum dynamics with trajectories
© 2000, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 2.09 MBLicence: CC BY-NC-ND 3.0

Cite this

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abstract = "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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AU - Frederick, John H.

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

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