A new approach on electromagnetism with dual number coefficient octonion algebra

DOI10.1142/S0219887816300130zbMath1349.78010OpenAlexW2465113623MaRDI QIDQ2830963

Özcan Bektaş, B. C. Chanyal, Salim Yüce, S. K. Chanyal

Publication date: 1 November 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887816300130

zbMATH Keywords

dyonsoctonionDirac-Maxwell's equationsdual octonionpotential wave equations

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (9)

Dual number coefficient octonion algebra, field equations and conservation laws ⋮ On the quaternion transformation and field equations in curved space-time ⋮ Generalized Klein-Gordon field equations with octonion space-time (OST) algebra ⋮ Scalar fields described by Dirac quaternion wave equation ⋮ Quaternion equations for hydrodynamic two-fluid model of vortex plasma ⋮ Reformulation of elliptic equations for heat transfer and diffusion in solids with space-time algebra ⋮ An algorithm for solution of the Sylvester s‐conjugate linear equation for the commutative elliptic octonions ⋮ Split Octonion Reformulation for Electromagnetic Chiral Media of Massive Dyons ⋮ Linearized electromagnetic and gravito-Heavisidian chirality in split octonion space-time

Cites Work

• Unnamed Item
• The dual space of (\(\mathcal L(X, Y), \tau _p\)) and the \(p\)-approximation property
• OCTONION AND CONSERVATION LAWS FOR DYONS
• Octonion generalization of Pauli and Dirac matrices
• The Dual Space of an Operator Algebra

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