We analyze the interaction of the induced electric dipole moment of a neutral particle with an electric field in elastic medium with a charged disclination from a semiclassical point of view. We show that the interaction of the induced electric dipole moment of a neutral particle with an electric field can yield an attractive inverse-square potential, where it is influenced by the topology of the disclination. Then, by using the Wentzel, Kramers and Brillouin approximation based on the Langer transformation, we show that the centrifugal term of the radial equation must be modified due to the influence of the topology of the disclination. Besides, we obtain the bound states solutions to the Schrödinger equation.

中文翻译：

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具有向错的弹性介质中吸引平方反比势的半经典处理

我们从半经典的角度分析了中性粒子的感应电偶极矩与具有带电向错的弹性介质中的电场的相互作用。我们表明，中性粒子的感应电偶极矩与电场的相互作用可以产生有吸引力的平方反比势，其中它受向错拓扑的影响。然后，通过使用基于 Langer 变换的 Wentzel、Kramers 和 Brillouin 近似，我们证明了径向方程的离心项由于向错拓扑结构的影响必须被修正。此外，我们获得了薛定谔方程的束缚态解。