Overlaps in pilot wave field theories

Details Overlaps in pilot wave field theories Overlaps in pilot wave field theories

2009-04-05

arxiv.org/abs/0904.0764v4

Foundations of Physics vol. 40 nr. 3, 289-300 (2010)

Physics

Quantum Physics

Final minor corrections. accepted by Foundations of Physics

Scientific paper

10.1007/s10701-009-9394-6

Recently doubts have been raised about the ability of pilot wave theories with field ontology to recover the predictions of quantum field theory. In particular, Struyve has questioned that the overlap between wave functionals of macroscopically different states with fixed particle number is really non-significant. With numerical computations and some further plausibility arguments we show that the overlap between n-particle states in field theory decreases almost exponentially with the number of particles and becomes non-significant already for small particle numbers.

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