2000/06/27 by Stoil Donev
Physics and Astronomy · #hep-th
published as Annales Fond.Broglie 27 (2002) 621-640 · Latex, 14 pages, no figures
arxiv created 2000/06/27 · arxiv updated 2009/11/30
In this paper a new look on the electro-magnetic duality is presented and appropriately exploited. The duality analysis in the nonrelativistic and relativistic formulations is shown to lead to the idea the mathematical model field to be a differential form valued in the 2-dimensional vector space \cal R2. A full \cal R2 covariance is achieved through introducing explicitly the canonical complex structure \cal I of \cal R2 in the nonrelativistic equations. The connection of the relativistic Hodge * with \cal I is shown and a complete coordinate free relativistic form of the equations and the conservative quantities is obtained. The duality symmetry is interpreted as invariance of the conservative quantities and conservation equations.