On the difference between the charge-free and the charge-neutral solutions of Maxwell equations

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dc.creatorChubykalo, Andrew E.
dc.creatorMunera, Hector A.
dc.creatorSmirnov-Rueda, Roman
dc.date1997-11-10
dc.date.accessioned2026-07-07T05:55:57Z
dc.date.available2026-07-07T05:55:57Z
dc.descriptionIt is conventionally believed that solutions of so called "free" Maxwell equations for \varrho=0 (density of charge) describe the free electromagnetic field in empty space (if one considers the free field as a field, whose flux lines neither begin nor end in a charge). We consider three types of regions: (i) "isolated charge-free" region (where all electric fields, generated by charges outside that particular region, are zero), for example, inside a hollow conductor of any shape or in a free-charge Universe; (ii) ``non-isolated charge-free" region (where all electric fields, generated by charges outside that particular region, are not zero) and (iii) "charge-neutral" region (where point charges exist but their algebraic sum is zero). The paper notes that there are two families of solutions: (1) In "isolated charge-free" regions electric free field does not exist in the context of Maxwell's equations, but there may exist a time-independent background magnetic field. (2) In both "charge-neutral" and "non-isolated charge-free" regions where the homogeneous condition \varrho=0 also holds, Maxwell's equation for electric field have non-zero solution, as in the conventional view, but this solution is not free field. We mention some implications related to free-electromagnetic fields and the simplest charge-neutral universe.
dc.descriptionReVTeX file, 10pp., no figures
dc.identifierhttps://arxiv.org/abs/physics/9711008
dc.identifierhttp://arxiv.org/abs/physics/9711008
dc.identifierFound.Phys.Lett. 11 (1998) 573-584
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87432
dc.subjectClassical Physics
dc.subjectPhysics Education
dc.titleOn the difference between the charge-free and the charge-neutral solutions of Maxwell equations
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