%0 Journal Article
%T Monte Carlo Generation of Bohmian Trajectories
%A T. M. Coffey
%A R. E. Wyatt
%A W. C. Schieve
%J Mathematics
%D 2008
%I arXiv
%R 10.1088/1751-8113/41/33/335304
%X 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=n\delta t (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 \delta t -> 0. Higher dimensional problems can be solved by this method for separable wave functions. Several examples are given, including the two-slit experiment.
%U http://arxiv.org/abs/0807.0209v1