# Dynamical origin of quantum probabilities

@article{Valentini2005DynamicalOO, title={Dynamical origin of quantum probabilities}, author={Antony Valentini and Hans F. Westman}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2005}, volume={461}, pages={253 - 272} }

We study the origin of the Born probability rule ρ = |ψ|2 in the de Broglie–Bohm pilot–wave formulation of quantum theory. It is argued that quantum probabilities arise dynamically, and have a status similar to thermal probabilities in ordinary statistical mechanics. This is illustrated by numerical simulations for a two–dimensional system. We show that a simple initial ensemble, with a non–standard distribution ρ ≠ |ψ|2 of particle positions, evolves towards the quantum distribution to high…

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