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Sedeonic field equations for dyons. (English) Zbl 1397.78007

Summary: We discuss the theoretical description of dyons having simultaneously both electric and magnetic charges on the basis of space-time algebra of 16-component sedeons. We show that the generalized sedeonic equations for electromagnetic field of dyons can be reformulated in equivalent canonical form as the equations for redefined field potentials, field strengths and sources. The relations for energy and momentum as well as the relations for Lorentz invariants of dyonic electromagnetic field are derived. Additionally, we discuss the sedeonic second-order and first-order wave equations describing the quantum behavior of dyons in an external dyonic electromagnetic field.

MSC:

78A02 Foundations in optics and electromagnetic theory
78A25 Electromagnetic theory (general)
81V10 Electromagnetic interaction; quantum electrodynamics
83C50 Electromagnetic fields in general relativity and gravitational theory
35Q60 PDEs in connection with optics and electromagnetic theory
15A66 Clifford algebras, spinors
35Q40 PDEs in connection with quantum mechanics
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