The Double-Slit Electron Diffraction Experiment with Aharonov-Bohm Phase Effect Revisited and the Divergence in its Asymptotic Form

In this work, we consider the experiment of diffraction and interference of electrons through a double slit added to the Aharonov-Bohm phase effect. We applied the asymptotic Fresnel functions to one term of the interference process obtaining an expression for the intensity with divergence for certain values of the flow parameter. This led us to an expression incapable of recovering the asymmetry effects of the diffraction pattern arising from the AB phase, as might be expected, since purely quantum effects cannot be classically reproduced.