https://doi.org/10.1140/epjp/s13360-021-01719-y
Regular Article
Electromagnetism and Maxwell’s equations in terms of elliptic biquaternions in relativistic notation
Department of Mathematics, Sakarya University, Serdivan, Turkey
a
zulal.derin1@ogr.sakarya.edu.tr
Received:
22
March
2021
Accepted:
29
June
2021
Published online:
18
July
2021
In this study, the relativistic transformation equations of electric and magnetic fields, which has an important place for Maxwell’s equations, are investigated by elliptic biquaternions. There are two methods for obtaining transformation equations of electric and magnetic fields: firstly, through elliptic Lorentz transformations and secondly, by using the elliptic biquaternionic relativistic transformation relation for obtaining transformation equations of electric and magnetic fields. Here, it is investigated which method is more useful by comparing their results.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021