Solution of Dirac Equation in Tensor Formalism in Standard Representation

Authors

  • Sylvestre Bulikunzira University of Rwanda

Keywords:

Dirac equation, Tensor Form, Standard Representation, Solution.

Abstract

In previous works, Dirac equation for half-spin particle has been written in tensor form, through two isotropic vectors F=E+iH and F'=E'+iH', by using both the spinor and the standard representation of Dirac matrices. When we use the spinor representation of Dirac matrices, Dirac equation in tensor form takes the form of non-linear Maxwell's like equations for two electromagnetic fields (E,H) and (E',H'). By using the standard representation of Dirac matrices, Dirac equation takes another form different from that obtained by using the spinor representation of Dirac matrices. The solution of Dirac equation in tensor formalism for free particle, with the use of the spinor representation of Dirac matrices has been obtained in the previous work. In this work, we found the solution of Dirac equation in tensor formalism for free particle with the use of the standard representation of Dirac matrices.

Author Biography

Sylvestre Bulikunzira, University of Rwanda

Department of Physics-Senior Lecturer

References

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

2015-02-15

How to Cite

Bulikunzira, S. (2015). Solution of Dirac Equation in Tensor Formalism in Standard Representation. Asian Journal of Fuzzy and Applied Mathematics, 3(1). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/2124

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