We consider an elastic medium with the distortion of a circular curve into a vertical spiral. Then, we investigate the topological effects of a charged screw dislocation on the attractive inverse-square potential that stems from the interaction of the induced electric dipole moment of a neutral quasiparticle with an electric field. We show that an analogue of the Aharonov–Bohm effect for bound states can be obtained. In addition, we consider a rotating reference frame. Thus, we analyze an Aharonov–Bohm-type effect for bound states and the arising of a coupling between torsion and the angular velocity.

中文翻译：

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具有螺旋位错的弹性介质中的有吸引力的平方反比势

我们考虑将圆形曲线扭曲成垂直螺旋的弹性介质。然后，我们研究了带电螺旋位错对吸引平方反比势的拓扑影响，该势源于中性准粒子的感应电偶极矩与电场的相互作用。我们表明，可以获得束缚态的 Aharonov-Bohm 效应的类似物。此外，我们考虑一个旋转参考系。因此，我们分析了束缚态的 Aharonov-Bohm 型效应以及扭转和角速度之间耦合的产生。