Summary
Bohmian mechanics is the most naively obvious embedding imaginable of Schrödinger’s equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at first appear to have little to do with the spectrum of predictions of quantum mechanics. It turns out, however, that, as a consequence of the defining dynamical equations of Bohmian mechanics, when a system has wave function ψ its configuration is typically random, with probability density ρ given by |ψ|2, the quantum equilibrium distribution. It also turns out that the entire quantum formalism, operators as observables and all the rest, is a consequence of Bohmian mechanics.
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Berndl, K., Daumer, M., Dürr, D. et al. A survey of Bohmian mechanics. Nuov Cim B 110, 737–750 (1995). https://doi.org/10.1007/BF02741477
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DOI: https://doi.org/10.1007/BF02741477