%0 Journal Article
%T Complementing the Lagrangian Density of the E. M. Field and the Surface Integral of the p-v Vector Product
%A Mirwais Rashid
%J Applied Mathematics
%P 225-229
%@ 2152-7393
%D 2011
%I Scientific Research Publishing
%R 10.4236/am.2011.22024
%X Considering the Lagrangian density of the electromagnetic field, a 4 × 4 transformation matrix is found which can be used to include two of the symmetrized MaxwellˇŻs equations as one of the Euler-Lagrange equations of the complete Lagrangian density. The 4 × 4 transformation matrix introduces newly defined vector products. In a Theorem the surface integral of one of the newly defined vector products is shown to be reduced to a line integral.
%K Electromagnetic Field
%K Parallel-Vertical Product
%K Surface Integral
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=3970