# Aharonov-Bohm-type effect in the background of a distortion of a vertical line into a vertical spiral

## TL;DR

This paper investigates Aharonov-Bohm-type effects in a quantum particle confined in a medium with a topological defect, revealing energy shifts and coupling effects due to the spiral distortion and rotation.

## Contribution

It demonstrates the existence of Aharonov-Bohm effects for bound states in a medium with a spiral defect and analyzes the influence of rotation on these quantum phenomena.

## Key findings

- Topological defect causes shifts in angular momentum quantum number.
- Aharonov-Bohm effect persists for bound states in the distorted medium.
- Coupling between angular momentum and rotation is observed.

## Abstract

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.