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

Y. Kim | Zendy; Won Sang Chung | Zendy; H. Hassanabadi | Zendy

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

Author(s) -

Y. Kim,

Won Sang Chung,

H. Hassanabadi

Publication year - 2020

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.66.411

Subject(s) - gauss's law , electrostatics , coulomb's law , coulomb , electric field , inverse square law , physics , derivative (finance) , gauss , inverse , square (algebra) , field (mathematics) , classical mechanics , mathematical physics , quantum mechanics , mathematics , geometry , pure mathematics , gravitation , financial economics , economics , electron

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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