On Some Examples of Trajectories in R 7

Ana Irina Nistor ()
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Ana Irina Nistor: Department of Mathematics and Informatics, “Gheorghe Asachi” Technical University of Iasi, Bd. Carol I, n. 11A, 700506 Iasi, Romania

Mathematics, 2022, vol. 10, issue 19, 1-17

Abstract: In this paper we study the magnetic trajectories as the solutions of the Lorentz equation defined by the cross product corresponding to the 7-dimensional Euclidean space. We find several examples of such trajectories and moreover, we strongly motivate our results making a comparison with the 3-dimensional Euclidean case, ambient space which was among the first ones approached in the study of magnetic trajectories.

Keywords: trajectory; cross product; Lorentz equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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