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arXiv · 0807.0209

Monte Carlo Generation of Bohmian Trajectories

T. M. Coffey·R. E. Wyatt·W. C. Schieve
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Abstract

We report on a Monte Carlo method that generates one-dimensional trajectories for Bohm's formulation of quantum mechanics that doesn't involve differentiation or integration of any equations of motion. At each time, t=nδt (n=1,2,3,...), N particle positions are randomly sampled from the quantum probability density. Trajectories are built from the sorted N sampled positions at each time. These trajectories become the exact Bohm solutions in the limits N->\infty and δt -> 0. Higher dimensional problems can be solved by this method for separable wave functions. Several examples are given, including the two-slit experiment.

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T. M. Coffey, R. E. Wyatt, W. C. Schieve. 2008-07-01. Monte Carlo Generation of Bohmian Trajectories. https://doi.org/10.1088/1751-8113/41/33/335304

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