Classification of local conservation laws of Maxwell's equations

DOI10.1023/A:1014263903283zbMath0989.35126arXivmath-ph/0108017OpenAlexW2951856428MaRDI QIDQ1349057

Juha Pohjanpelto, Stephen C. Anco

Publication date: 21 May 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0108017

zbMATH Keywords

Minkowski spaceMaxwell's equationsKilling vectorsKilling spinorslinear conservation lawsquadratic conservation lawschiral quadratic conservation laws

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Electromagnetic theory (general) (78A25)

Related Items

Helicity, spin, and infra-zilch of light: a Lorentz covariant formulation ⋮ Classification of generalized symmetries of the Yang-Mills fields with a semi-simple structure group ⋮ On the quantum-mechanics of a single photon ⋮ Conservation of all Lipkin's zilches from symmetries of the standard electromagnetic action and a hidden algebra ⋮ Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations ⋮ Gravitational lensing beyond geometric optics. I: Formalism and observables ⋮ Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation ⋮ Lie algebras of conservation laws of variational partial differential equations ⋮ Conservation properties and potential systems of vorticity-type equations ⋮ Symmetries, conservation laws, and cohomology of Maxwell's equations using potentials ⋮ The zilch electromagnetic conservation law revisited ⋮ Helicity and spin conservation in linearized gravity ⋮ Lagrange Anchor for Bargmann–Wigner Equations ⋮ On the incompleteness of Ibragimov's conservation law theorem and its equivalence to a standard formula using symmetries and adjoint-symmetries ⋮ Covariant theory of asymptotic symmetries, conservation laws and central charges

This page was built for publication: Classification of local conservation laws of Maxwell's equations