A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov-Bohm flux

► A nonrelativistic quantum charged particle on a plane. ► A homogeneous magnetic field and a periodically time-dependent Aharonov-Bohm flux. ► The quantum averaging method applied to a time-dependent system. ► A resonance of the AB flux with the cyclotron frequency. ► An acceleration with linearly increasing energy; a formula for the acceleration rate.