Electromagnetic energy conservation with complex octonions

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KANSU M. E., TANIŞLI M., DEMİR S.

TURKISH JOURNAL OF PHYSICS, cilt.36, sa.3, ss.438-445, 2012 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3906/fiz-1109-18
  • Dergi Adı: TURKISH JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.438-445
  • Anahtar Kelimeler: Octonion, Maxwell's equations, electromagnetic energy, Poynting vector
  • Anadolu Üniversitesi Adresli: Evet

Özet

Octonions are the eight dimensional hypercomplex numbers that form a noncommutative and non-associative division algebra. In this study, a general framework for the real, complex octonions and their algebra are provided by using the Cayley-Dickson multiplication rule between the octonionic basis elements. Maxwell's equations without sources are shown in Gauss units in dimensionless form. The local energy conservation equation, which has been previously defined in a complexified quaternionic form, is similarly rearranged for isotropic media by using the complex octonions. As a result, the terms of density and flow of electromagnetic energy are attained.