Geodesic
Equations of motion for particles of arbitrary spin invariant under the Galileo group
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 34-46 
A. G. Nikitin; W. I. Fushchych. Equations of motion for particles of arbitrary spin invariant under the Galileo group. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 34-46. http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The first and the second order differential equations are derived which are invariant under the Galilei group and describe the motion of a particle with arbitrary spin. These equations admit the Lagrangian formulation and describe the dipole, spin-orbital and Darwin couplings of a particle with external electromagnetic field which are considered traditionally as pure relativistic effects. The problem of the motion of spin $1/2$ nonrelativistic particle in an external electromagnetic field is exactly solved.

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