  In the framework of the de Broglie-Bohm pilot-wave theory, or Bohmian
mechanics, we examine two pedagogical problems that illustrate the bound and
unbound motion of spin-1/2 particles: First, a single spin-1/2 particle trapped
in the ground state of a spherical box is studied in both the relativistic and
nonrelativistic versions of the theory; second, the free time evolution of this
particle once the confinement is released is examined, demonstrating how the
Fourier transform of the prepared wave function yields the statistics of the
particle's far-field (asymptotic) velocity, thereby providing a deeper
understanding of time-of-flight momentum spectroscopy techniques.
