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

초록

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.

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