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

Quirino M. Sugon Jr., Daniel J. McNamara

(Submitted on 9 Jul 2008)

Abstract: In 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}.

Comments: 5 pages, no figures.
Subjects: Classical Physics (physics.class-ph)
Cite as: arXiv:0807.1382v1 [physics.class-ph]
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