https://doi.org/10.1140/epjp/s13360-020-00182-5
Regular Article
Quaternionic comparisons of electromagnetism using Lorentz transformations
1
Faculty of Art and Science, Department of Physics, Kütahya Dumlupınar University, 43100, Kütahya, Turkey
2
Science Faculty, Department of Physics, Eskişehir Technical University, 26470, Eskişehir, Turkey
* e-mail: memre.kansu@dpu.edu.tr
Received:
20
September
2019
Accepted:
29
October
2019
Published online:
1
February
2020
In this paper, by defining properties of the real and complex quaternion algebras, the electromagnetic field equations including monopoles have been studied in reference systems, which moves with the velocity u according to the fixed reference system
. Quaternionic source and wave equalities have been derived in a more compact and elegant manner in
system. Besides, Poynting theorem has been firstly obtained in moving media. Additionally, the comparisons between
and
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
and
systems for the first time.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020