Geodesic
Poincar\'e invariant differential equations for particles of arbitrary spin
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 319-333

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Differential equations of first and second order describing the motion of a relativistic particle with arbitrary spin are derived. These equations provide the basis for an exact solution of the problem of the motion of a particle of arbitrary spin in a homogeneous magnetic field. Covariant operators for the coordinate and spin of the particle are found, and these differ from the well-known Newton–Wigner and Foldy–Wouthuysen operators. The Hamiltonian of a particle interacting with an external electromagnetic field is approximately diagonalized. 
@article{TMF_1978_34_3_a3,
     author = {A. G. Nikitin and W. I. Fushchych},
     title = {Poincar\'e invariant differential equations for particles of arbitrary spin},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {319--333},
     publisher = {mathdoc},
     volume = {34},
     number = {3},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a3/}
}
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A. G. Nikitin; W. I. Fushchych. Poincar\'e invariant differential equations for particles of arbitrary spin. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 319-333. http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a3/