The Bohmian model, semiclassical systems and the emergence of classical
trajectories

ABSTRACT: The de Broglie–Bohm interpretation of quantum mechanics aims to
give a realist description of quantum phenomena in terms of the motion of
point-like particles following well-defined trajectories. Semiclassical
systems are quantum systems that display a dynamical quantum-classical
correspondence: the wavefunction and the observable properties of such
systems depend on the trajectories of the classical counterpart of the
quantum system. By taking several examples, we will show that Bohmian
trajectories, which follow the streamlines of the probability flow, are
generically non-classical in semiclassical systems. This property even holds
when a localized wavepacket propagates along a classical periodic orbit.
This generic feature of Bohmian trajectories in semiclassical systems is
expected to hold in the classical limit, creating a dynamical mismatch
between Bohmian and classical trajectories. We will further argue that in
this context decoherence cannot constitute a viable solution in order to
recover classicality.