ELECTROMAGNETIC ENERGY CONSERVATION BY BIQUATERNIONS

(Compilation Article)


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Authors

  • Nur ULUHAN Physics, Graduate Education Institute, Eskisehir Technical University, Eskisehir, TURKIYE
  • Abidin KILIÇ Physics,Department, Eskisehir Technical University, Eskisehir, TURKIYE

Keywords:

Quaternions, Biquaternions, Maxwell Equations, Poynting Theorem

Abstract

In this document, after defining biquaternions algebra, Poynting Theorem is derived in this algebra. Because of 8-component biquaternions containing 3-dimensional vector space and 4-dimensional quaternion space, we can examine many physical quantities in biquaternion algebra. Based on this information, the generalized field Maxwell Equations and Gauge Transformations is showed in non-comutative but associative biquaternion algebra in homogenous media. Then, Noether and Poynting Theorems are introduced in terms of biquaternionic differential operator equation and used for deriving equations in electromagnetic energy conservation. In conclusion, it is seen that these biquaternionic equations can be derived from generalized 3- dimensional vector space in literature before.

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Published

2023-01-02

How to Cite

ULUHAN, N., & KILIÇ, A. (2023). ELECTROMAGNETIC ENERGY CONSERVATION BY BIQUATERNIONS: (Compilation Article). Journal of Natural Sciences and Technologies, 1(1), 124–134. Retrieved from https://journalofnastech.com/index.php/pub/article/view/14

Issue

Vol. 1 No. 1 (2022): NaSTech

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.