Abstract
In this paper, by defining properties of the real and complex quaternion algebras, the electromagnetic field equations including monopoles have been studied in \(\hbox {S}'\) reference systems, which moves with the velocity u according to the fixed reference system \(\hbox {S}\). Quaternionic source and wave equalities have been derived in a more compact and elegant manner in \(\hbox {S}'\) system. Besides, Poynting theorem has been firstly obtained in moving media. Additionally, the comparisons between \(\hbox {S}\) and \(\hbox {S}'\) reference systems have been separately done for field, source, potential and wave equations in quaternion basis elements. Furthermore, Poynting theorems have been compared by means of \(\hbox {S}\) and \(\hbox {S}'\) systems for the first time.
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Kansu, M.E., Tanışlı, M. & Demir, S. Quaternionic comparisons of electromagnetism using Lorentz transformations. Eur. Phys. J. Plus 135, 187 (2020). https://doi.org/10.1140/epjp/s13360-020-00182-5
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DOI: https://doi.org/10.1140/epjp/s13360-020-00182-5