Transport solutions for biquaternion generalizations of Dirac and Maxwell equations at subluminal speeds and their properties
Alexeyeva L.A. Aziz G.N.
November 2025Pleiades Publishing
Theoretical and Mathematical Physics (Russian Federation)
2025#225Issue 21981 - 1996 pp.
Abstract: We construct and study transport solutions of the biquaternion wave equation, which is a biquaternion generalization of the Dirac and Maxwell equations. These equations describe the electromagnetic fields of electromagnetic and electro-gravimagnetic wave sources moving in a fixed direction with a constant speed that is less than the speed of wave propagation in an electromagnetic medium (speed of light). We construct fundamental and generalized transport solutions describing fields of moving objects at subluminal speeds. Using the Fourier transform of distributions, we construct a biquaternion Green function (bifunction) in a moving coordinate system. This function describes the field generated by a moving point source on the -axis. We find the energy density and the Poynting vector of this field. The influence of the speed of motion on the field characteristics is studied.
bigradient , biquaternion , biquaternion Green function , biwave equation , subluminal transport solutions
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Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling
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