In this report, we present a comprehensive discussion on the famous Aharonov-Bomb Effect (Aharonov & Bohm (1959)), by setting up Feynman’s path integral formalism and its applying it to solve the AB effect. In particular, we examine the detailed calculations provided by Gerry & Singh (1979) for the propagator K(r′′,r′;τ) for an electron traveling through a region where the magnetic field is zero, but the vector potential is non-zero.
Our analysis demonstrates that both traditional methods and those based on path integrals can successfully account for the observed shift in the interference pattern when the magnetic flux (Φ_B) of the solenoid.