Matrix realization of dual quaternionic electromagnetism

Demir S.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, vol.5, no.4, pp.487-506, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.2478/s11534-007-0031-8
  • Journal Name: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.487-506
  • Keywords: dual quaternion, electromagnetism, Maxwell's equations, matrices, REFORMULATION, FORMULATION, EQUATIONS
  • Anadolu University Affiliated: No

Abstract

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.