Clifford's Algebra and a Solution of the Bargmann–Michel–Telegdi Equation

Clifford's algebra of the Minkowski space is constructed in the present paper. A method of solving the equations of motion within the formalism of this algebra is described. A solution of the equation of spin motion (the Bargmann–Michel–Telegdi equation) for the case of motion of a magnetic top in a constant uniform electromagnetic field is derived with the help of the algorithm constructed.