Matrix realization of dual quaternionic electromagnetism

Demir S.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, cilt.5, sa.4, ss.487-506, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.2478/s11534-007-0031-8
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.487-506
  • Anahtar Kelimeler: dual quaternion, electromagnetism, Maxwell's equations, matrices, REFORMULATION, FORMULATION, EQUATIONS
  • Anadolu Üniversitesi Adresli: Hayır

Özet

In this paper, a new representational model based on dual quaternionic matrices is proposed for classical electromagnetism. After demonstrating the isomorphic matrix representations of dual quaternions, Maxwell's equations and the constitutive relations for electromagnetism are expressed in terms of dual quaternionic matrices. For this purpose, new 8 x 8 matrices connected with quaternion basis elements have been introduced. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.