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arXiv · 1201.4169

On the zig-zag pilot-wave approach for fermions

Ward Struyve
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Abstract

We consider a pilot-wave approach for the Dirac theory that was recently proposed by Colin and Wiseman. In this approach, the particles perform a zig-zag motion, due to stochastic jumps of their velocity. We respectively discuss the one-particle theory, the many-particle theory and possible extensions to quantum field theory. We also discuss the non-relativistic limit of the one-particle theory. For a single particle, the motion is always luminal, a feature that persists in the non-relativistic limit. For more than one particle the motion is in general subluminal.

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Ward Struyve. 2012-01-19. On the zig-zag pilot-wave approach for fermions. https://doi.org/10.1088/1751-8113/45/19/195307

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