New geometric magnetic energy according to geometric Frenet formulas
Geometric calculus is a special case of the Non-Newtonian Calculus introduced by Grossman and Katz (Non-Newtonian calculus, Lee Press, Pigeon Cove, 1972). Also, it is a more convenient calculation method for situations where the geometric increment is more meaningful than the arithmetic increment. I...
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| Veröffentlicht in: | Optical and quantum electronics 2024, Vol.56 (1), Article 81 |
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| container_title | Optical and quantum electronics |
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| creator | Ekinci, Alper Bas, Selçuk Körpinar, Talat Körpinar, Zeliha |
| description | Geometric calculus is a special case of the Non-Newtonian Calculus introduced by Grossman and Katz (Non-Newtonian calculus, Lee Press, Pigeon Cove, 1972). Also, it is a more convenient calculation method for situations where the geometric increment is more meaningful than the arithmetic increment. In this study, geometric curves are defined and geometric Frenet–Serret formulas for these curves are presented. Furthermore, we give applications of these concepts to geometric magnetic curves. |
| doi_str_mv | 10.1007/s11082-023-05569-z |
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| subjects | Characterization and Evaluation of Materials Computer Communication Networks Curves Electrical Engineering Lasers Optical Devices Optics Photonics Physics Physics and Astronomy |
| title | New geometric magnetic energy according to geometric Frenet formulas |
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