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A New Formulation of Electrodynamics

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DOI: 10.4236/jemaa.2010.28060    4,025 Downloads   8,022 Views   Citations
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Arbab I. Arbab, Faisal A. Yassein




A new formulation of electromagnetism based on linear differential commutator brackets is developed. Maxwell equations are derived, using these commutator brackets, from the vector potential, the scalar potential φ and the Lorentz gauge connecting them. With the same formalism, the continuity equation is written in terms of these new differential commutator brackets.


Mathematical formulation, Maxwell’s equations

Cite this paper

A. Arbab and F. Yassein, "A New Formulation of Electrodynamics," Journal of Electromagnetic Analysis and Applications, Vol. 2 No. 8, 2010, pp. 457-461. doi: 10.4236/jemaa.2010.28060.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. I. Arbab, and Z. Satti, “Progress in Physics,” Vol. 2, 2009, pp. 8.
[2] W. Rindler, “Introduction to Special Relativity,” Oxford University Press, USA, 1991.
[3] A. I. Arbab and H. M. Widatallah, “The Generalized Continuity Equations,” http://arxiv.org/abs/1003.0071.
[4] J. D. Jackson, “Classical Electrodynamics,” 2nd Edition, Wiley, New York, 1975.
[5] Y. Aharonov and D. Bohm, “Significance of Electro- magnetic Potentials in Quantum Theory,” Physical Review, Vol. 115, 1959, pp. 485-491.

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