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

Y. Kim, W. Sang Chung, H. Hassanabadi

Abstract


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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DOI: https://doi.org/10.31349/RevMexFis.66.411

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

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