Formulation of Conservation Law of Energy for Electron Field in Tensor Formalism

Authors

  • Sylvestre Bulikunzira University of Rwanda

Keywords:

Dirac equation, tensor, conservation law, energy.

Abstract

In previous works, Dirac equation for half-spin particle has been written in tensor form, in the form of non-linear Maxwell's like equations through two isotropic complex vectors F=E+iH and F'=E'-iH'. The complex vectors F=E+iH and F'=E'-iH' satisfy 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 of equality F.F=0. It has been proved, that the vectors E and H have the same properties as those of E, H, components of electromagnetic field.

In this work, in order to understand these non-linear equations, we investigated the deducted from them law of conservation of energy for electron field.

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., Solution of Dirac equation in tensor formalism in standard representation, Asian Journal of Fuzzy and Applied Mathematics, vol.3, no1, pp.1-6, 2015.

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

2015-04-14

How to Cite

Bulikunzira, S. (2015). Formulation of Conservation Law of Energy for Electron Field in Tensor Formalism. Asian Journal of Fuzzy and Applied Mathematics, 3(2). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/2344

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