Deviation of inverse square law based on Dunkl derivative: deformed Coulomb’s law

• Y. Kim ^[1] ; W. Sang Chung ^[1] ; H. Hassanabadi ^[2]
  1. [1] Gyeongsang National University

     Gyeongsang National University

     Corea del Sur

     
  2. [2] Shahrood University of Technology, Shahrood, Iran
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 66, Nº. 4, 2020, págs. 411-417
• Idioma: inglés
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• Resumen

  • In this paper, we consider the Coulomb’s law with deviation. We use the Dunkl derivative to derive the deformed Gauss law for the electric field and the electrostatic potential, which gives a new deformed electrostatics called a Dunkl-deformed electrostatics. We modify the Dunkl derivative for the electric field for multi-sources or continuous charge distribution. We discuss some examples of the Dunkl-deformed electrostatics.