Framed curves in three-dimensional Lie groups and a Berry phase model

DOĞAN YAZICI B., OKUYUCU O. Z., Tosun M.

Journal of Geometry and Physics, cilt.182, 2022 (SCI-Expanded) identifier

  • 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.