Second Order Tensor Wave Equation for Neutrino

Authors

  • Sylvestre Bulikunzira University of Rwanda

Keywords:

Second order, tensor, wave equation, neutrinos.

Abstract

In previous works, with the use of Cartan map, 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 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 equating to zero separately 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 those of the strengths of electric and magnetic fields.

In this work, in order to investigate and to understand these neutrino waves, we derived the corresponding second order wave equations.

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

2015-04-15

How to Cite

Bulikunzira, S. (2015). Second Order Tensor Wave Equation for Neutrino. Asian Journal of Fuzzy and Applied Mathematics, 3(2). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/2351

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