The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 22 1 2022 05 22 A singularity-free model for a point charge potential in the presence of a momentum cutoff in a D-dimensional Euclidean space (D>=3) A singularity-free model for a point charge potential in the presence of a momentum cutoff in a D-dimensional Euclidean space (D>=3) 269 276 1782 10.47176/ijpr.22.1.11352 FA Saeed Nabipour Department of Physics, Faculty of Basic Sciences, Arak University, Arak, Iran Seyed Kamran Moayedi Department of Physics, Faculty of Basic Sciences, Arak University, Arak, Iran 0000-0003-4563-2290 Journal Article 2021 11 17 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. 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.

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