Octonionic Lorenz-like condition

TANIŞLI M., Jancewicz B.

PRAMANA-JOURNAL OF PHYSICS, cilt.78, sa.2, ss.165-174, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s12043-011-0219-8
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.165-174
  • Anahtar Kelimeler: Lorenz condition, octonion, Maxwell equations, Klein-Gordon equation, magnetic monopole, MAXWELLS EQUATIONS, ELECTROMAGNETISM, ELECTRODYNAMICS, FORM
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this study, the octonion algebra and its general properties are defined by the Cayley-Dickson's multiplication rules for octonion units. The field equations, potential equations and Maxwell equations for electromagnetism are investigated with the octonionic equations and these equations can be compared with their vectorial representations. The potential and wave equations for fields with sources are also provided. By using Maxwell equations, a Lorenz-like condition is newly suggested for electromagnetism. The existing equations including the photon mass provide the most acknowledged Lorenz condition for the magnetic monopole and the source.