A singularity-free model for a point charge potential in the presence of a momentum cutoff in a D-dimensional Euclidean space (D>=3)

In Maxwell electrostatics the electrostatic potential of a point charge is singular at the position of the point charge. In this paper, a nonsingular model for a point charge potential is presented in the presence of a momentum cutoff pmax based on a one-parameter deformation of the Heisenberg algeb...

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Bibliographic Details
Published in:	Iranian Journal of Physics Research Vol. 22; no. 1; pp. 269 - 276
Main Authors:	Saeed Nabipour, Seyed Kamran Moayedi
Format:	Journal Article
Language:	English
Published:	Isfahan University of Technology 01-05-2022
Subjects:	deformed heisenberg algebra maxwell electrostatics momentum cutoff phase space point charge potential
Online Access:	Get full text
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Summary:	In Maxwell electrostatics the electrostatic potential of a point charge is singular at the position of the point charge. In this paper, a nonsingular model for a point charge potential is presented in the presence of a momentum cutoff pmax based on a one-parameter deformation of the Heisenberg algebra in a 2D-dimensional phase space. For pmax→∞, the results of this paper reduce to the results of ordinary Maxwell electrostatics for a point charge.
ISSN:	1682-6957 2345-3664
DOI:	10.47176/ijpr.22.1.11352;