Geodesic
Classical particle with spin and Clifford algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 3, pp. 340-345 
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/
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     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},
     year = {1981},
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     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_3_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Hestenes D., Space-time algebra, N.Y., 1966 | MR

[2] Bagrov V. G., Bordovitsyn V. A., Izv. vuzov, fizika, 1980, no. 2, 67

[3] Kazanova G., Vektornaya algebra, Mir, M., 1979 | MR

[4] Bargman V., Michel L., Telegdi V., Phys. Rev. Lett., 2 (1959), 435 | DOI

[5] Tamm I. E., Sobranie nauchnykh trudov, t. 2, Nauka, M., 1975, 5

[6] Good R. H., Phys. Rev., 125 (1962), 2112 | DOI | MR | Zbl

[7] Frenkel J. I., Z. Phys., 37 (1926), 243 | DOI | Zbl

[8] Nyborg P., Nuovo Cim., 31 (1962), 1209 | DOI