The zilch electromagnetic conservation law revisited

DOI10.1063/1.5126487zbMath1460.78005arXiv1904.08639OpenAlexW3111410037MaRDI QIDQ3386504

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Publication date: 4 January 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08639

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Electromagnetic theory (general) (78A25) Symmetries and conservation laws in mechanics of particles and systems (70S10) Physical optics (78A10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Helicity, spin, and infra-zilch of light: a Lorentz covariant formulation ⋮ Energy–momentum tensor and duality symmetry of linearized gravity in the Fierz formalism ⋮ Conservation of all Lipkin's zilches from symmetries of the standard electromagnetic action and a hidden algebra ⋮ Helicity and spin conservation in linearized gravity

Cites Work

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• Spacetime algebra as a powerful tool for electromagnetism
• Transverse and longitudinal angular momenta of light
• Classification of local conservation laws of Maxwell's equations
• Maxwellian theory of gravitational waves and their mechanical properties
• Killing tensor conservation laws and their generators
• Optical helicity, optical spin and related quantities in electromagnetic theory
• Electric–magnetic symmetry and Noether's theorem
• Dual electromagnetism: helicity, spin, momentum and angular momentum
• Two Classes of New Conservation Laws for the Electromagnetic Field and for Other Massless Fields
• Existence of a New Conservation Law in Electromagnetic Theory
• Optical momentum and angular momentum in complex media: from the Abraham–Minkowski debate to unusual properties of surface plasmon-polaritons

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