Document Type : Original Article

Authors

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

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

  1. B Zwiebach, “A First Course in String Theory”, Cambridge University Press, Second Edition (2009).

  2. H Nastase, “String Theory Methods for Condensed Matter Physics”, Cambridge University Press (2017).

  3. K Andrew and J Supplee, J. Phys. 58 (1990) 1177.

  4. J D Jackson, “Classical Electrodynamics”, John Wiley & Sons, Inc. Third Edition (1999).

  5. A Rostami and S K Moayedi, Indian J. Phys. 75B (2001) 357.

  6. S K Moayedi and A Rostami, Phys. J. B 36 (2003) 359.

  7. A Rostami and S K Moayedi, Opt. A: Pure Appl. Opt. 5 (2003) 380.

  8. M Stone and P Goldbart, “Mathematics for Physics: A Guided Tour for Graduate Students”, Cambridge University Press, (2009).

  9. S Hossenfelder, Living Rev. Relativity 16 (2013) 2.

  10. S K Moayedi, M R Setare, and B Khosropour, Advances in High Energy Physics 2013 (2013) 657870.

  11. S K Moayedi, M R Setare, and H Moayeri, EPL 98 (2012) 50001.

  12. S K Moayedi, M R Setare, and B Khosropour, International Journal of Modern Physics A 28 (2013) 1350142.

  13. A V Silva, E M C Abreu, and M J Neves, International Journal of Modern Physics A 31 (2016) 1650096.

  14. A M Frydryszak and V M Tkachuk, Czechoslovak Journal of Physics 53 (2003) 1035.

  15. V M Tkachuk, Phys. 46 (2016) 1666.

  16. A Izadi and S K Moayedi, Annals of Physics 411 (2019) 167956.

  17. M Ranaiy and S K Moayedi, Modern Physics Letters A 35 (2020) 2050038.

  18. N Moeller and B Zwiebach, JHEP 10 (2002) 034.

  19. A Accioly, J H Neto, G Correia, G Brito, J de Almeida, and W Herdy, Physical Review D 93 (2016) 105042.

  20. M Abramowitz and I A Stegun, “Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (AMS-55)”, Washington, DC: National Bureau of Standards (1972).

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