导体球壳内的电偶极子的电荷禁闭  

The Electrostatic Shielding of Electric Dipole With in the Spherical Face of Conductor

作　　者：胡先权[1] 廖海洋[1] 王万录[2] 

机构地区：[1]重庆师范大学物理学与信息技术学院,重庆400047 [2]重庆大学数理学院,重庆400065

出　　处：《江西师范大学学报（自然科学版）》2005年第1期47-52,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60376032);重庆市教育委员会科学技术研究项目(20030806).

摘　　要：该文将电荷禁闭作为夸克禁闭理论的类比.用分离变量法与镜象法相结合,求解了被禁闭于半径为R的接地导体球壳内的电偶极子静电场所满足的泊松方程,求得了电偶极子及其感应电荷在球壳内的电势表达式.并根据电偶极子在接地导体球壳内的位置分三种情况进行了分析、计算和讨论.得到了位于接地导电平面附近的电偶极子及其感应电荷的电势的表达式.为了能明显的看出其镜象特征还利用数学物理方法对电势表达式进行变形处理,并分析了其镜象电荷、镜象偶极子的空间位置.The electrostatic shielding is used as the analogy of the theory of quark shielding in this paper. With the combination of the method of variable division and the mirror-image method, we obtain the solution of the Poisson equation whose boundary condition is conductor spherical face connected with ground,and the electric dipole was confined in.The potential representation yielded from the electric dipole and its induction in the sphere is obtained.Three situations are analyzed, calculated and discussed according to the electric dipole's positions in the sphere. This paper also concludes the potential representation made by the electric dipole and its induction near the surface of the conductor. In order to see the mirror-image feature obviously, we transforms the potential representation by mathematical methods of physical, and analyzes the space positions of mirror-image charge and mirror-image dipole.

关 键 词：导体球壳 电偶极子 感应电荷 电势 数学物理方法 表达式 夸克 电平 接地 泊松方程 

分 类 号：N941[自然科学总论—系统科学] O441[理学—电磁学]