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

Nabipour, Saeed; Moayedi, Seyed  Kamran

doi:10.47176/ijpr.22.1.11352

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

Document Type : Original Article

Authors

Saeed Nabipour

Seyed Kamran Moayedi

Department of Physics, Faculty of Basic Sciences, Arak University, Arak, Iran

https://doi.org/10.47176/ijpr.22.1.11352

Abstract

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 p_max based on a one-parameter deformation of the Heisenberg algebra in a 2D-dimensional phase space. For p_max→∞, the results of this paper reduce to the results of ordinary Maxwell electrostatics for a point charge.

Keywords

phase space

deformed Heisenberg algebra

Maxwell electrostatics

momentum cutoff

point charge potential ‎‎

20.1001.1.16826957.1401.22.1.22.2

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