Revisiting quaternion formulation and electromagnetism

Demostrating the isomorphic matrix representation of biquaternions the dyna mical variables, Maxwell's equation and equation of motion are derived in c ompact and expanded forms, respectively, for quaternions and matrix, repres entations. Isomorphic matrix representation has also been carried out to de scribe the generalized electromagnetism in the presence of magnetic monopol e. Biquaternion Lorentz transformation mapping and the elementary transform ation for various matrix representation of quaternion units ape also analys ed. It is shown that the biquaternion theory of generalized electromagnetic fields enhances the dimensionality of the representation from 4-dimensiona l to 8-dimensional linear vector space.