Lagrange Formalism for Electromagnetic Field in Terms of Strengths E<sup> &rarr; </sup> and H<sup> &rarr; </sup>

Authors

  • Sylvestre Bulikunzira University of Rwanda

Keywords:

Lagrange formalism, electromagnetic field, strengths.

Abstract

In previous works, Weyl's equation for neutrinos has been written in tensor form, in the form of non-linear Maxwell's like equations, through complex isotropic 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-HH=0 and E.H=0, obtained by equating to zero separately real and imaginary parts in equality F.F=0. Further, the Lagrange formalism for neutrino field in terms of complex isotropic vectors F=E+iH has been elaborated

In this work, by analogy with neutrinos field, we elaborated the Lagrange formalism for electromagnetic field in terms of strengths E and H.

Author Biography

Sylvestre Bulikunzira, University of Rwanda

Department of Physics-Senior Lecturer

References

Bulikunzira,S., Lagrange formalism for neutrino field in terms of complex isotropic vectors, Asian Journal of Fuzzy and Applied Mathematics, vol.3, no4, pp.126-130, 2015.

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.

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

2015-10-24

How to Cite

Bulikunzira, S. (2015). Lagrange Formalism for Electromagnetic Field in Terms of Strengths E<sup> &rarr; </sup> and H<sup> &rarr; </sup>. Asian Journal of Fuzzy and Applied Mathematics, 3(5). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/3111

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