Time scales for dynamical relaxation to the Born rule

@article{Towler2011TimeSF,
  title={Time scales for dynamical relaxation to the Born rule},
  author={Michael D. Towler and Nathan John Russell and Antony Valentini},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2011},
  volume={468},
  pages={1013 - 990}
}
We illustrate through explicit numerical calculations how the Born rule probability densities of non-relativistic quantum mechanics emerge naturally from the particle dynamics of de Broglie–Bohm pilot-wave theory. The time evolution of a particle distribution initially not equal to the absolute square of the wave function is calculated for a particle in a two-dimensional infinite potential square well. Under the de Broglie–Bohm ontology, the box contains an objectively existing ‘pilot wave… 

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