On electromagnetic curves and geometric phase associated with frontals in de-Sitter 2-space

DOĞAN YAZICI B., ÖZKALDI KARAKUŞ S.

Indian Journal of Physics, cilt.98, sa.3, ss.1021-1030, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s12648-023-02876-9
  • Dergi Adı: Indian Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, INSPEC, zbMATH
  • Sayfa Sayıları: ss.1021-1030
  • Anahtar Kelimeler: Berry phase, de-Sitter 2-space, Electromagnetic curves, Spacelike frontals, Timelike frontals
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this work, we introduce a Berry phase model which is very important in physics relative to the frontals in de-Sitter 2-space. With this approach, we examine the relationship between a singular curve and Fermi–Walker’s law and Berry’s phase law in de-Sitter 2-space. We give the Rytov curves by using an orthonormal frame of spacelike frontals and timelike frontals with Fermi–Walker parallelism. We express parametric representations of Rytov curves associated with a singular optical fiber. We examine electromagnetic curves associated with orthonormal vectors of spacelike frontals and timelike frontals in de-Sitter 2-space. Hence, we express the magnetic field equations, Lorentz force equations and magnetic trajectory equations along a singular optical fiber. Finally, we give examples that support the theories both physically and geometrically.