Universal Journal of Physics and Application Vol. 7(1), pp. 1 - 9
DOI: 10.13189/ujpa.2013.010101
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The Hypercomplex Solution of the Dirac Equation

Konstantin Karplyuk¹, Oleksandr Zhmudskyy^2,*
1 Department of Radiophysics, Taras Shevchenko University, Academic Glushkov prospect 2, building 5, Kyiv 03122, Ukraine
² Department of Physics, University of Central Florida, 4000 Central Florida Blvd. Orlando, FL, 32816

ABSTRACT

It is shown that the hypercomplex Dirac equation describes the system of connected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudovector and antisymmetric 4-tensor second rank field. If mass is assumed to be zero this system splits into two subsystems. Equations containing tensor, scalar and pseudoscalar fields coincide with Maxwell equations complemented by scalar and pseudoscalar fields. This system describes the electrodynamics of non-conserved charges. The scalar and pseudoscalar fields are generated only by the non-conserved charges-electric and hypothetical magnetic. The influence of these fields on the charged particles is very unusual-it causes a change of their rest mass. This allows us to give a new look at the Wigner paradox and mechanism of mass renormalization.

KEYWORDS
Dirac Equation, Hypercomplex numbers

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Konstantin Karplyuk , Oleksandr Zhmudskyy , "The Hypercomplex Solution of the Dirac Equation," Universal Journal of Physics and Application, Vol. 7, No. 1, pp. 1 - 9, 2013. DOI: 10.13189/ujpa.2013.010101.

(b). APA Format:
Konstantin Karplyuk , Oleksandr Zhmudskyy (2013). The Hypercomplex Solution of the Dirac Equation. Universal Journal of Physics and Application, 7(1), 1 - 9. DOI: 10.13189/ujpa.2013.010101.