There is a paper by Arnold Neumaier, where it is argued that Bohmian mechanics, is simply wrong, because it doesn't predict all the results that we observe from experiment. See here. Neumaier wrote down his argument for a particle in the ground state of a harmonic oscillator, but there's nothing fundamental about this choice. It was there to frame the argument at its simplest and clearest. If, instead, we chose a linear combination of the ground and (say) first excited states, the answers obtained with quantum mechanics and Bohmian mechanics would once again disagree, and because there's a difference in energy between the ground state and first excited state there would be a relative phase that would survive the step of taking the expectation value. Bohmian mechanics would no longer predict that the particle would sit stationary in the same spot -- it would undergo some evolution. But it still wouldn't give the right answer for the relative phase: the imaginary part of the correlator is generically nonzero in quantum mechanics (the correlator is not Hermitian so it is not guaranteed a real spectrum), but always zero in Bohmian mechanics. What are your thoughts?