Lagrange Formalism for Neutrino Field in Terms of Complex Isotropic Vectors

Authors

  • Sylvestre Bulikunzira University of Rwanda

Keywords:

Neutrino field, Lagrange formalism, tensor, complex isotropic vector.

Abstract

In previous works, Weyl's equation for neutrino has been written in tensor form, in the form of non-linear Maxwell's like equations, through isotropic complex vector F=E+iH. It has been proved, that the complex 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.

In this work, in the development of this new formalism for description of fermions, we elaborated the Lagrange formalism for neutrino field in tensor formalism, in terms of complex isotropic vectors.

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.

Bulikunzira,S., Tensor formulation of Dirac equation in standard representation, Asian Journal of Fuzzy and Applied Mathematics, vol.2, no6, pp.203-208, 2014.

Bulikunzira,S., Formulation of conservation laws of current and energy for neutrino field in tensor formalism, Asian Journal of Fuzzy and Applied Mathematics, vol.3, no1, pp.7-9, 2015.

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

Sommers,P., Space spinors, Journal of mathematical physics, vol.21, no10, pp.2567-2571, 1980.

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Published

2015-08-15

How to Cite

Bulikunzira, S. (2015). Lagrange Formalism for Neutrino Field in Terms of Complex Isotropic Vectors. Asian Journal of Fuzzy and Applied Mathematics, 3(4). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/2888

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