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

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 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.

Keywords

• phase space
• deformed heisenberg algebra
• maxwell electrostatics
• momentum cutoff
• point charge potential ‎‎