Geometric phases for three cases of the electric field with new type Bishop frame in R-1(3)
- Yoon, Dae Won; Gurbuz, Nevin Ertug
- Issue Date
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Geometric phase; Bishop 2-type frame; electric field
- INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, v.19, no.08
- Journal Title
- INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
- 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.
- Files in This Item
- There are no files associated with this item.
- Appears in
- 사범대학 > 수학교육과 > Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.