Lagrange Formalism for Electromagnetic Field in Terms of Strengths E → and H →
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.
References
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Bulikunzira,S., Tensor formulation of Dirac equation through divisors, Asian Journal of Fuzzy and Applied Mathematics, vol.2, no6, pp.195-197, 2014.
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Sommers,P., Space spinors, Journal of mathematical physics, vol.21, no10, pp.2567-2571, 1980.
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