Electrostatics with reflection symmetry and exact solution of the Dunkl-Laplace equation in cylindrical coordinates

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• 作者：Eun Ji Jang ; Sucheol Park ; Won Sang Chung
• 关键词：Electrostatics ; Reflection symmetry ; Dunkl ; Laplace equation
• 刊名：Journal of the Korean Physical Society
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：68
• 期：3
• 页码：379-382
• 全文大小：119 KB
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• 作者单位：Eun Ji Jang (1)
  Sucheol Park (1)
  Won Sang Chung (1)
  
  1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, 52828, Korea
  
• 刊物主题：Physics, general; Theoretical, Mathematical and Computational Physics; Particle and Nuclear Physics;
• 出版者：Springer Netherlands
• ISSN：1976-8524

文摘

In this paper, electrostatics with reflection symmetry is considered. The Maxwell equation for electrostatics is obtained from deformation of the Maxwell tensor. The general solution of the twodimensional Dunkl-Laplace equation in the polar coordinates is obtained. The general solution of the Dunkl-Laplace equation in three-dimensional cylindrical coordinates is also obtained.