  We study the physical effects of torsion as predicted by the Einstein-Cartan
theory in the test particle approximation and the non-relativist limit. We
first present the corresponding non-relativistic Hamiltonian for a 2-spinor.
Then, we solve an idealized reflection and transmission problem for a
non-relativistic spin-$\frac{1}{2}$ beam travelling across a spin-polarized
target. We identify deviations in the spin polarizations of the reflected and
transmitted as observables capable of distinguishing Einstein-Cartan from
standard general relativity. If measured, this effect would constitute
compelling evidence for the presence of spacetime torsion.
