Formulation of Conservation Laws of Current and Energy for Neutrino Field in Tensor Formalism

Authors

  • Sylvestre Bulikunzira University of Rwanda

Keywords:

Conservation Laws, current, energy, neutrino Field, Tensor Formalism

Abstract

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.

Author Biography

Sylvestre Bulikunzira, University of Rwanda

Department of Physics-Senior Lecturer

References

Bulikunzira, S., Tensor formulation of Dirac equation through divisors, Asian Journal of Fuzzy and Applied Mathematics, vol.2, no6, pp.195-197, 2014.

Reifler, F., Vector wave equation for neutrinos, Journal of mathematical physics, vol.25, no4, pp.1088-1092, 1984.

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Published

2015-02-15

How to Cite

Bulikunzira, S. (2015). Formulation of Conservation Laws of Current and Energy for Neutrino Field in Tensor Formalism. Asian Journal of Fuzzy and Applied Mathematics, 3(1). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/2220

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