  An experiment to test for relativistic frame dragging effects with quantum
interferometry is proposed. The idea that the classical trajectories of the
interferometer surround a spherical mass source whose angular momentum is
perpendicular to the plane containing these trajectories. A simple analysis
allows one to find the phase shift for particles traveling in the innermost
stable circular orbit; the result can be easily generalized for more realistic
orbits. The phase difference goes like the source's angular momentum per mass
times the quantum particles' mass. This is a small effect but it can be
amplified by making the classical paths go around the source several times.
Moreover, this experiment has the advantage that the source's angular momentum
can be easily controlled.
