Aharonov–Bohm-like scattering in the generalized uncertainty principle-corrected quantum mechanics

We discuss classical electrodynamics and the Aharonov–Bohm effect in presence of minimal length. In former, we derive equation motion corresponding Lagrangian. latter, adopt generalized uncertainty principle (GUP) compute scattering cross-section up to first-order GUP parameter [Formula: see text]. Even though length exists, is invariant under simultaneous change text], where text] are azimuthal angle magnetic flux parameter. However, unlike usual Aharonv–Bohm scattering, exhibits discontinuous behavior at every integer The symmetries, which has absence GUP, shown be explicitly broken level