@article{Bulikunzira_2014, title={Tensor Formulation of Dirac Equation through Divisors}, volume={2}, url={https://ajouronline.com/index.php/AJFAM/article/view/1670}, abstractNote={In previous works, spinor Dirac equation for half-spin particle has been written in tensor form, in the form of non-linear Maxwell’s like equations through two complex isotropic vectors <strong>F=E+iH</strong> and <strong>F’=E’+iH’</strong>. It has been proved, that the fields<strong> E</strong> and<strong> H</strong> have the same properties as those of the electric and magnetic fields, which are components of a single electromagnetic field. In particular, the solution of these non-linear equations for free particle as well fulfils Maxwell’s equations for vacuum (with zero at the right side). This gives us the right to interpret electron field as a system of two electromagnetic fields (<strong>E,H</strong>)<strong> </strong>and (<strong>E’,H’</strong>),  propagating with the phase velocity equal to the velocity of light and the velocity of the particle is the group velocity. In the present work, we shall write these non-linear Maxwell’s like equations, representing Dirac equation in covariant form through divisors. This form directly reveals their relativistic invariance and open the possibilities to future generalizations.}, number={6}, journal={Asian Journal of Fuzzy and Applied Mathematics}, author={Bulikunzira, Sylvestre}, year={2014}, month={Dec.} }