Symmetries, conservation laws, and cohomology of Maxwell's equations using potentials

DOI10.1007/s10440-005-9001-6zbMath1103.35301arXivmath-ph/0501052OpenAlexW2593950128MaRDI QIDQ2492710

Stephen C. Anco, Dennis The

Publication date: 14 June 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0501052

zbMATH Keywords

conservation lawsMaxwell equationssymmetriesKilling-Yano tensorsnonlocal symmetries

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99) Electromagnetic theory (general) (78A25) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Cites Work

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• Nonlocal symmetries and nonlocal conservation laws of Maxwell’s equations
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• Conserved currents of massless fields of spin s ≥ ½
• Derivation of conservation laws from nonlocal symmetries of differential equations
• Two Classes of New Conservation Laws for the Electromagnetic Field and for Other Massless Fields
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