  In the de Broglie-Bohm quantum theory, particles describe trajectories
determined by the flux associated with their wave function. These trajectories
are studied here for relativistic spin-one-half particles.Based in explicit
numerical calculations for the case of a massless particle in dimension three
space-time, it is shown that if the wave function is an eigenfunction of the
total angular momentum, the trajectories begin as circles of slowly increasing
radius until a transition time at which they tend to follow straight lines.
Arrival times at some detector, as well as their probability distribution are
calculated, too. The chosen energy and momentum parameters are of the orders of
magnitude met in graphene's physics.
