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}
}
  • A. Valentini, H. Westman
  • Published 4 March 2004
  • Physics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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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