Superposition Principle and the Problem of the Additivity of the Energies and Momenta of Distinct Electromagnetic Fields

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dc.creatorNotte-Cuello, Eduardo
dc.creatorRodrigues Jr, Waldyr A.
dc.date2006-12-12
dc.date2006-12-23
dc.date.accessioned2026-07-07T07:36:57Z
dc.date.available2026-07-07T07:36:57Z
dc.descriptionIn this paper we prove in a rigorous mathematical way (using the Clifford bundle formalism) that the energies and momenta of two distinct and arbitrary free Maxwell fields (of finite energies and momenta) that are superposed are additive and thus that there is no incompatibility between the principle of superposition of fields and the principle of energy-momentum conservation, contrary to some recent claims. Our proof depends on a noticeable formula for the energy-momentum 1-form fields T^{a},namely Riesz formula, which is valid for any electromagnetic field configuration F satisfying Maxwell equation.
dc.descriptionSome sections, in particualr Appendix B.2. have been rewritten. New reference added
dc.identifierhttps://arxiv.org/abs/math-ph/0612036
dc.identifierhttp://arxiv.org/abs/math-ph/0612036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120608
dc.subjectMathematical Physics
dc.titleSuperposition Principle and the Problem of the Additivity of the Energies and Momenta of Distinct Electromagnetic Fields
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