Octonionic Maxwell's equations for bi-isotropic media

DOI10.1063/1.3582816zbMath1317.78004OpenAlexW1993265772MaRDI QIDQ5266013

Mustafa Emre Kansu, Murat Tanışlı

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3582816

Mathematics Subject Classification ID

Composite media; random media in optics and electromagnetic theory (78A48) Electromagnetic theory (general) (78A25) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (13)

Dual number coefficient octonion algebra, field equations and conservation laws ⋮ Generalized Klein-Gordon field equations with octonion space-time (OST) algebra ⋮ Higher spin quaternion waves in the Klein-Gordon theory ⋮ A new model for the reformulation of compressible fluid equations ⋮ Octonic form of Proca-Maxwell's equations and relativistic derivation of electromagnetism ⋮ Octonion massive electrodynamics ⋮ Linearized electromagnetic and gravito-Heavisidian chirality in split octonion space-time ⋮ Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra ⋮ SUPERSYMMETRIC QUANTUM MECHANICS AND EUCLIDEAN–DIRAC OPERATOR WITH COMPLEXIFIED QUATERNIONS ⋮ Octonion generalization of Pauli and Dirac matrices ⋮ Dual octonion electrodynamics with the massive field of dyons ⋮ Reconstruction of symmetric Dirac–Maxwell equations using nonassociative algebra ⋮ Split octonion reformulation of generalized linear gravitational field equations

Cites Work

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• Hyperbolic quaternion formulation of electromagnetism
• Quaternion Dirac equation and supersymmetry
• Unified split octonion formulation of dyons
• Quaternionic formulation of supersymmetric quantum mechanics
• Commutative (Segre's) quaternion fields and relation with Maxwell equations
• Time-dependent electromagnetic fields in chiral media
• Octonions and supersymmetry in three dimensions
• Octonic representation of electromagnetic field equations
• A Transmission problem for bi-isotropic media
• The octonions
• Generalized electromagnetic fields in a chiral medium
• Octonionic electrodynamics

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