  It is analysed Aharonov-Bohm-type effects when a spinless quantum particle is
in an elastic medium with the distortion of a vertical line into a vertical
spiral. By confining the spinless particle to a cylindrical box, the analogue
of the Aharonov-Bohm effect for bound states is observed due to influence of
the topological defect on the allowed energies of the system. It corresponds to
the shift in the angular momentum quantum number yielded by the effects of the
topology of the distortion of a vertical line into a vertical spiral. In
addition, it is analysed the effects of rotation. It is shown that the
Aharonov-Bohm effect for bound states exists. Besides, there is an analogue of
the coupling between the angular momentum and angular velocity of the rotating
frame.
