Abstract:
In this paper, we continue the study of generalizations of the Cauchy–Riemann (CR) conditions obtained earlier, which, under certain assumptions, can be interpreted as Maxwell's equations of electromagnetic field. The main mathematical tools used in the work is the technique of two quaternion variables. This work does not contain any physical statements, but is a theoretical analysis that can be carried out for systems of generalized CR conditions.
Keywords:quaternion, spinor, Cauchy–Riemann system, Laplace equation, Maxwell system, law of conservation of electric charge.