Geodesic
Classical particle with spin and Clifford algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 340-345

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The equations of motion of a classical particle with spin in an electromagnetic field are derivated in the language of the Clifford algebra of Minkowski space constructed by Hestenes [1]. When the Clifford algebra is used, these equations, their derivation, and solution simplify considerably, and the equations acquire a clear geometrical meaning. A perturbation theory for these equations is developed, and this permits calculations of the motion and polarization of particles in various electromagnetic fields. 
@article{TMF_1981_48_3_a5,
     author = {A. L. Glebov},
     title = {Classical particle with spin and {Clifford} algebra},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {340--345},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a5/}
}
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A. L. Glebov. Classical particle with spin and Clifford algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 340-345. http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a5/