Abstract

KIM, Y.; SANG CHUNG, W.  and  HASSANABADI, H.. Deviation of inverse square law based on Dunkl derivative: deformed Coulomb’s law. Rev. mex. fis. [online]. 2020, vol.66, n.4, pp.411-417.  Epub Jan 31, 2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.66.411.

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.

Keywords : Coulomb’s law; Dunkl derivative; deformed Gauss law.