Abstract
We consider the factorization of differential operator of Klein–Gordon equation on the base of space-time algebra of sixteen-component sedeons. It is shown that generalized sedeonic wave equations can be used both to describe quantum particles and the force fields responsible for the interaction of particles. In particular, we discuss the first-order and second-order wave equations for sedeonic potentials describing fields with zero and nonzero mass of quantum. We demonstrate the application of sedeonic space-time operators to describe quantum particles and in particular the calculation of energy spectrum of electron in an external magnetic field. The relations between the sedeons and the spinors are discussed.
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