Regular Article - Theoretical Physics
Aharonov–Bohm-type effect in the background of a distortion of a vertical line into a vertical spiral
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, 58051-900, Brazil
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Accepted: 25 June 2019
Published online: 3 July 2019
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 the 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.
© The Author(s), 2019