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Electromagnetism and Maxwell’s equations in terms of elliptic biquaternions in relativistic notation

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Sakarya University, Serdivan, Turkey

    Zülal Derİn & Mehmet Ali Güngör

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  1. Zülal Derİn
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  2. Mehmet Ali Güngör
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Correspondence to Zülal Derİn.

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Derİn, Z., Güngör, M.A. Electromagnetism and Maxwell’s equations in terms of elliptic biquaternions in relativistic notation. Eur. Phys. J. Plus 136, 756 (2021). https://doi.org/10.1140/epjp/s13360-021-01719-y

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01719-y

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