The Aharonov-Bohm effect for stationary and coherent states of an electron in a uniform magnetic field

The Aharonov-Bohm effect that arises from a quantum-mechanical description of electron motion in a magnetic field in the presence of an infinitely thin and long solenoid is examined. In the stationary states this effect is manifest in the appearance of an additional series of energy levels shifted with respect to the Landau levels by a magnitude dependent on the magnetic field flux in the solenoid. Quantum states similar to coherent states are formulated that describe quasi-classical electron motion. In these states the existence of the solenoid causes additional electron oscillations with respect to a classical orbit and changes the relations between the parameters of classical motion. This makes it possible to provide a simple interpretation of the Aharonov-Bohm effect