Quaternionic reformulation of Maxwell equations for inhomogeneous media and new solutions

DOI10.4171/ZAA/1063zbMath0999.30033arXivmath-ph/0104008OpenAlexW2045590427MaRDI QIDQ1607596

R. Smith

Publication date: 12 August 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0104008

zbMATH Keywords

Maxwell equationsSchrödinger equationquaternionic analysisinhomogeneous mediastatic casequaternionic reformulation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Functions of hypercomplex variables and generalized variables (30G35) Electromagnetic theory (general) (78A25) Electro- and magnetostatics (78A30)

Related Items (9)

Biquaternionic reformulation of multifluid plasma equations ⋮ A right inverse of curl which is divergence‐free invariant and some applications to generalized Vekua‐type problems ⋮ A new model for the reformulation of compressible fluid equations ⋮ Multifluid plasma equations in terms of hyperbolic octonions ⋮ The existence of Cauchy kernels of Kravchenko-generalized Dirac operators ⋮ On a quaternionic reformulation of Maxwell's equations for chiral media and its applications ⋮ SUPERSYMMETRIC QUANTUM MECHANICS AND EUCLIDEAN–DIRAC OPERATOR WITH COMPLEXIFIED QUATERNIONS ⋮ On force free magnetic fields. Quaternionic approach ⋮ Quaternionic representation of electromagnetism for material media

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• A new method for obtaining solutions of the Dirac equation
• A new approach for describing electromagnetic wave propagation in inhomogeneous media

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