Hyperbolic Quaternion Formulation of Electromagnetism

DEMİR S., TANIŞLI M., CANDEMİR N.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.20, sa.3-4, ss.547-563, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 3-4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s00006-010-0209-9
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.547-563
  • Anahtar Kelimeler: Hyperbolic quaternion, electromagnetism, magnetic monopole, MAXWELL EQUATIONS, ELECTRON THEORY, DIRAC, CLIFFORD, ALGEBRA, ELECTRODYNAMICS, REFORMULATION, HYPERNUMBERS, OCTONIONS, GEOMETRY
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this paper, after presenting the hyperbolic quaternion formalism, an alternative representational method is proposed for the formulation of classical and generalized electromagnetism in the case of the existence of magnetic monopoles and massive photons. Maxwell's equations and relevant field equations are derived in compact, simpler and elegant forms. These equations are compared with their vectorial, complex quaternionic, dual quaternionic and octonionic representations.