Electromagnetic energy-momentum equation without tensors: a geometric algebra approach

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dc.creatorSugon Jr., Quirino M.
dc.creatorMcNamara, Daniel J.
dc.date2008-07-09
dc.date.accessioned2026-07-07T09:49:20Z
dc.date.available2026-07-07T09:49:20Z
dc.descriptionIn this paper, we define energy-momentum density as a product of the complex vector electromagnetic field and its complex conjugate. We derive an equation for the spacetime derivative of the energy-momentum density. We show that the scalar and vector parts of this equation are the differential conservation laws for energy and momentum, and the imaginary vector part is a relation for the curl of the Poynting vector. We can show that the spacetime derivative of this energy-momentum equation is a wave equation. Our formalism is Dirac-Pauli-Hestenes algebra in the framework of Clifford (Geometric) algebra Cl_{4,0}.
dc.description5 pages, no figures. The following article has been submitted to the American Journal of Physics. After it is published, it will be found at http://scitation.aip.org/ajp
dc.identifierhttps://arxiv.org/abs/0807.1382
dc.identifierhttp://arxiv.org/abs/0807.1382
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164548
dc.subjectClassical Physics
dc.titleElectromagnetic energy-momentum equation without tensors: a geometric algebra approach
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