We discuss the theoretical description of dyons having simultaneously both electric and magnetic charges on the basis of space-time algebra of sixteen-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 Klein-Gordon and first-order Dirac wave equations describing the quantum behavior of dyons in an external dyonic electromagnetic field.
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