Split octonions and Maxwell equations
Mathematical Physics
2009-06-12 v1 math.MP
Authors:
Pawel Nurowski
Abstract
A formulation of the Maxwell equations in terms of the split octonions is presented.
Cite
@article{arxiv.0906.2060,
title = {Split octonions and Maxwell equations},
author = {Pawel Nurowski},
journal= {arXiv preprint arXiv:0906.2060},
year = {2009}
}
Related papers
View all related →
General Physics · Physics
Dirac and Maxwell equations in Split Octonions
Revaz Beradze, Tsotne Shengelia
2016-10-21
Rings and Algebras · Mathematics
Some remarks regarding Quaternions and Octonions
Cristina Flaut
2017-12-27
Mathematical Physics · Physics
Octonionic formulation of the fully symmetric Maxwell's equations in 3+1 dimensions
K. Pushpa, J. C. A. Barata
2015-03-09
General Physics · Physics
Generalized Split-Octonion Electrodynamics
B. C. Chanyal, P. S. Bisht, O. P. S. Negi
2011-07-08
Rings and Algebras · Mathematics
On polynomial equations over split octonions
Artem Lopatin, Alexander N. Rybalov
2025-04-02
General Physics · Physics
Split octonionic Dirac equation
Merab Gogberashvili, Alexandre Gurchumelia
2024-09-24
Complex Variables · Mathematics
Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings
Rolf Sören Kraußhar, Anastasiia Legatiuk, Dmitrii Legatiuk
2025-02-05
High Energy Physics - Theory · Physics
Interpretations of Octonion Wave Equations
P. S. Bisht, Bimal Pandey, O. P. S. Negi
2009-02-20
Rings and Algebras · Mathematics
On linear equations over split-octonions
Artem Lopatin, Alexandr N. Zubkov
2025-11-26
High Energy Physics - Theory · Physics
Unified Split Octonion Formulation of Dyons
P. S. Bisht, Shalini Dangwal, O. P. S. Negi
2008-11-26
Optics · Physics
Maxwell Optics: I. An exact matrix representation of the Maxwell equations in a medium
Sameen Ahmed Khan
2010-02-23
Classical Physics · Physics
Nonlinear Maxwell Equations
G. A. Kotel'nikov
2015-06-26
Rings and Algebras · Mathematics
On polynomial equations over split-octonions: the arbitrary field case
Artem Lopatin
2026-04-15
General Relativity and Quantum Cosmology · Physics
A Classical Interpretation of Maxwell's Equations in Curved Spacetime
C. Germani, D. Bini, R. T. Jantzen
2007-05-23
Complex Variables · Mathematics
Differential equations over octonions
Sergey V. Ludkovsky
2018-12-18
General Mathematics · Mathematics
Matrix exponentials
Pierre-Yves Gaillard
2007-05-23
Analysis of PDEs · Mathematics
Towards discrete octonionic analysis
Rolf Sören Kraußhar, Anastasiia Legatiuk, Dmitrii Legatiuk
2022-11-08
Rings and Algebras · Mathematics
De Moivre's Formula and Euler's Formula for Octonions
Cristina Flaut, Vitalii Shpakivskyi
2014-06-03
General Mathematics · Mathematics
Theoretical and numerical considerations on the polar (exponential) form of octonions and elements of higher-order Cayley-Dickson algebras
Łukasz Błaszczyk
2019-09-11
Mathematical Physics · Physics
Space-time orientations and Maxwell's equations
Giuseppe Marmo, Emanuele Parasecoli, Wlodzimierz M. Tulczyjew
2008-11-26
Analysis of PDEs · Mathematics
Equations of Maxwell Type
K. O. Makhmudov, O. I. Makhmudov, N. Tarkhanov
2009-10-08
General Physics · Physics
Field Equations in the Complex Quaternion Spaces
Zi-Hua Weng
2016-10-17
Rings and Algebras · Mathematics
Quadratic Split Quaternion Polynomials: Factorization and Geometry
Daniel F. Scharler, Johannes Siegele, Hans-Peter Schröcker
2020-08-27
High Energy Physics - Theory · Physics
Octonionic Electrodynamics
Merab Gogberashvili
2009-11-11
Mathematical Physics · Physics
Maxwell's Equations
Daniel Henry Gottlieb
2007-05-23