  We investigate torsion and noninertial effects on a spin-$1/2$ quantum
particle in the nonrelativistic limit of the Dirac equation. We consider the
cosmic dislocation spacetime as a background and show that a rotating system of
reference can be used out to distances which depend on the parameter related to
the torsion of the defect. Therefore, we analyse torsion effects on the
spectrum of energy of a nonrelativistic Dirac particle confined to a hard-wall
potential in a Fermi-Walker reference frame.
