Field equations in the complex quaternion spaces
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Publication:471633
DOI10.1155/2014/450262zbMath1307.78003arXiv1504.06182OpenAlexW3125653213WikidataQ59045966 ScholiaQ59045966MaRDI QIDQ471633
Publication date: 17 November 2014
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.06182
Electromagnetic fields in general relativity and gravitational theory (83C50) Electromagnetic theory (general) (78A25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Foundations in optics and electromagnetic theory (78A02)
Related Items (9)
Sedeonic equations in field theory ⋮ Scalar fields described by Dirac quaternion wave equation ⋮ Quaternion equations for hydrodynamic two-fluid model of vortex plasma ⋮ Biquaternionic reformulation of multifluid plasma equations ⋮ Reformulation of elliptic equations for heat transfer and diffusion in solids with space-time algebra ⋮ Gravitational mass and energy gradient in the ultra-strong magnetic fields ⋮ A new model for the reformulation of compressible fluid equations ⋮ Multifluid plasma equations in terms of hyperbolic octonions ⋮ Quaternionic electrodynamics
Cites Work
- Quaternion gravi-electromagnetism
- Hyperbolic quaternion formulation of electromagnetism
- Quaternionic formulation of the classical fields
- Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra
- Quaternions, Lorentz Group and the Dirac Theory
- Octonic representation of electromagnetic field equations
- On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
- Application of bicomplex (quaternion) algebra to fundamental electromagnetics: a lower order alternative to the Helmholtz equation
- Octonionic electrodynamics
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