点电荷在拓扑绝缘体和导体中感应磁单极

利用电势和磁标势的第一类零阶贝塞尔函数的公式及拓扑绝缘体材料的本构关系, 推导了点电荷在电介质、 拓扑绝缘体和接地导体三个区域的感应电势及感应磁标势. 研究表明: 点电荷 在电介质、 拓扑绝缘体和接地导体中感应了像电荷和像磁单极; 感应像电荷和感应像磁单极的大小和正负除了与场源电荷、 拓扑绝缘体材料参数等因素有关外, 还与像电荷和像磁单极所处的空间位置有关.

Inducing magnetic monopole in conductor and topological insulator by point charge

Using the electric potential and the magnetic scalar potential formulas which contain Bessel function of zero-order of first kind and the constitute relations of topological insulator, we derive the induced electric potentials and induced magnetic scalar potentials which are induced by point electric charge in dielectric, topological insulator and earthing conductor. Further research shows that the induced magnetic monopoles and the induced electric charges are induced in dielectric, topological insulator and earthing conductor; the positive and negative induced magnetic monopoles and electric charges and their magnitudes are determined not only by the material parameter, point electric charge, but also by the space of the induced electric charge and induced magnetic monopole.