Magnetic trajectories in three-dimensional Lie groups
Mathematical Methods in the Applied Sciences, cilt.43, sa.5, ss.2747-2758, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 5
- Basım Tarihi: 2020
- Doi Numarası: 10.1002/mma.6081
- Dergi Adı: Mathematical Methods in the Applied Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.2747-2758
- Anahtar Kelimeler: Lie groups, Lorentz force equation, magnetic flow, magnetic trajectory
- Isparta Uygulamalı Bilimler Üniversitesi Adresli: Hayır
Özet
We study magnetic trajectories in Lie groups equipped with bi-invariant Riemannian metric. We define the Lorentz force of a magnetic field in a Lie group G, and then, we give the Lorentz force equation for the associated magnetic trajectories that are curves in G. When the manifold is a Lie group G equipped with bi-invariant Riemannian metric, we derive differential equation system that characterizes magnetic flow associated with the Killing magnetic curves with regard to the Lie reduction of the curve γ in G.