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Matthew Dickau

Publications and source records attributed to Matthew Dickau.

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A Bohmian version of a 2-state quantum system

I construct a Bohmian version of a 2-state quantum system, where in addition to the quantum state, the system is characterized by a definite physical state which changes stochastically under the guidance of the quantum state. I argue that the probabilities produced by this process are well-defined, contrary to claims in "Why quantum mechanics cannot be formulated as a Markov process" by D. Gillespie (1994) about a related model.

quant-ph

Apparent energy-speed relationship poses no challenge to Bohmian mechanics

A recent article claims to measure the speed of quantum particles in the classically forbidden regime where the energy of the particles is lower than the local potential, and further claims that the results of this experiment challenge Bohmian mechanics. But this interpretation of the experiment is incorrect (and dubious even in the context of ordinary quantum mechanics). A proper analysis of the system from a pilot-wave perspective shows that it predicts the same distribution of particle positions (and so the same experimental results) as ordinary quantum theory. The speed measured by the experiment in this regime is fictitious.

quant-ph