Framed curves in three-dimensional Lie groups and a Berry phase model
Journal of Geometry and Physics, cilt.182, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 182
- Basım Tarihi: 2022
- Doi Numarası: 10.1016/j.geomphys.2022.104682
- Dergi Adı: Journal of Geometry and Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
- Anahtar Kelimeler: Adapted frames, Berry-phase, Framed curves, Lie groups, Optical fiber, Polarization vector
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
© 2022 Elsevier B.V.In this study, we introduce framed curves which can have singular points in three-dimensional Lie groups. We give Frenet-Serret type formulas of framed curves with the help of a Lie curvature in three-dimensional Lie groups. Then, we define adapted frames of framed curves in three-dimensional Lie groups such that Frenet-Serret type frame and Bishop frame. Finally, as a physical application, we give Berry phase model of polarized light wave along an optical fiber in Lie groups.