Quantum Interference of Polarized Electrons in the Presence of Magnetic Strings

This work analyzes the effects of shielding on the Aharonov-Bohm scattering of electrons endowed with spin. The interaction of polarized electrons with bare and shielded magnetic strings is studied with the aid of the Dirac equation. It is found that the difference between the amplitudes for the scattering by bare and shielded strings of incident wave packets of width $\delta$ and impact parameter $d$ is proportional to $\exp(-d^2/2\delta^2)$.