Connection between Bohmian and quantum mechanics via the Wigner function

Bohmian mechanics has proven to be very useful in numerical simulations for hard problems, what otherwise would be very time-consuming. Nevertheless, it is also well-known that Bohmian mechanics makes use of additional postulates to justify the Bohmian trajectories. Since the usefulness of the latter has been proven over the time, it is worth finding the link between Bohmian mechanics and conventional quantum mechanics, without the need of additional postulates or even rhetorical reasoning. In this work, a connection between conventional quantum mechanics and Bohmian mechanics is found through the Wigner formalism. The Bohmian framework can be viewed as a projected aspect of the Wigner function. This confirms the idea of formulating Bohmian mechanics through the use of projections of observables onto continuous representations. (C) 2021 Elsevier B.V. All rights reserved.