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Optical and Quantum Electronics

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01-01-2024

New geometric magnetic energy according to geometric Frenet formulas

Authors: Alper Ekinci, Selçuk Bas, Talat Körpinar, Zeliha Körpinar

Published in: Optical and Quantum Electronics | Issue 1/2024

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Abstract

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.

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Title: New geometric magnetic energy according to geometric Frenet formulas
Authors: Alper Ekinci
Selçuk Bas
Talat Körpinar
Zeliha Körpinar
Publication date: 01-01-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 1/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05569-z

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