存在向错时电子与径向电场相互作用的分析
Analysis of the interaction of an electron with radial electric fields in the presence of a disclination
摘要：
考虑具有向错的弹性介质，在WKB（Wentzel，Kramers，Brillouin）近似下研究了无自旋电子与径向电场相互作用的拓扑效应.我们展示了如何离心项的径向方程必须修改由于拓扑缺陷的影响，以便WKB近似可以是有效的。然后，我们从无自旋电子与这种线性分布的电荷所产生的电场的相互作用中寻找束缚态解。此外，我们还研究了无自旋电子与非导体长柱内均匀分布电荷产生的径向电场相互作用的束缚态解。
英文摘要：
We consider an elastic medium with a disclination and investigate the topological effects on the interaction of a spinless electron with radial electric fields through the WKB (Wentzel, Kramers, Brillouin) approximation. We show how the centrifugal term of the radial equation must be modified due to the influence of the topological defect in order that the WKB approximation can be valid. Then, we search for bound states solutions from the interaction of a spinless electron with the electric field produced by this linear distribution of electric charges. In addition, we search for bound states solutions from the interaction of a spinless electron with radial electric field produced by uniform electric charge distribution inside a long non-conductor cylinder.
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