%0 Journal Article
%T Formulation of Conservation Laws of Current and Energy for Neutrino Field in Tensor Formalism
%A Sylvestre Bulikunzira
%J Asian Journal of Fuzzy and Applied Mathematics
%D 2015
%X In previous works, using Cartan map, Weyl's equation for neutrino has been written in vector form, in the form of non-linear Maxwell's like equations, through isotropic complex vector F=E+iH. The vector F=E+iH satisfies non-linear condition F.F=0, equivalent to two conditions for real quantities E.E-H.H=0 and E.H=0, obtained by separating real and imaginary parts in the equality F.F=0. It has been proved, that the vectors E and H have the same properties as the vectors E and H, components of 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 allows us to interpret neutrino field as a new form of electromagnetic field. In this work, in studying the properties of this new electromagnetic field, we derived its laws of conservation of current and energy
%K [Conservation Laws
%K current
%K energy
%K neutrino Field
%K Tensor Formalism]
%U https://www.ajouronline.com/index.php/AJFAM/article/view/2220