Geometric phases for three cases of the electric field with new type Bishop frame in R 1 3

---

Atıf İçin Kopyala

Yoon D. W., Gürbüz N. E.

International Journal of Geometric Methods in Modern Physics, cilt.19, 2022 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 19
• Basım Tarihi: 2022
• Doi Numarası: 10.1142/s0219887822501158
• Dergi Adı: International Journal of Geometric Methods in Modern Physics
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
• Anahtar Kelimeler: Geometric phase, Bishop 2-type frame, electric field, SPIN, POLARIZATION, ROTATION
• Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 2022 World Scientific Publishing Company.In this paper, we study geometric phases for an electric field in Minkowski 3-space. In particular, we consider Bishop 2-Type frames of a spacelike and a timelike curve in Minkowski 3-space and investigate three geometric phases for three cases of electric fields with respect to the Bishop 2-Type frames along a spacelike and a timelike curve. Also, we compute spatial and time evolutions of the complex frame connected with electric fields for Bishop 2-Type in terms of modified Hasimoto transformations. As a result, we give a modified Fermi-Walker parallel derivative and a Rytov parallel transportation of electric fields. Finally, we discuss Lorentz force of a magnetic field as a Killing vector field along a spacelike and timelike curve in Minkowski 3-space.