Geometric phases in electric dipole searches with spin-1/2 particles from spin dependent Schr\"odinger equation

Geometric phases of trapped particles have been recognized as potential sources of false signals in experiments searching for a permanent electric dipole moment of the neutron. We present a new analysis that treats the spin fully quantum mechanically and uses the same model system as previous works based on semi-classical methods. The results are similar but exhibit significant differences in some respects.