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Now my question: If I measure the particle at some positive location (##x(0) =x_0 > 0##) at time ##t=0##, then Bohmian time evolution predicts that its position will always stay on the positive side of the real line, because ##x(t) > 0## for all ##t##. However, if I perform a quantum measurement, the wave function instead collapses to ##\psi(x,0) = \delta(x-x_0)##, which evolves into a Gaussian again. Thus the probability to find the particle in the negative half axis at time ##t>0## is non-zero according to quantum mechanics. This contradicts the previous Bohmian result.

How does Bohmian mechanics deal with this issue?