Geodesic
Equations of motion invariant under the group $\mathscr{P}(1,n)$. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 3, pp. 348-363 
L. P. Sokur; W. I. Fushchych. Equations of motion invariant under the group $\mathscr{P}(1,n)$. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 3, pp. 348-363. http://geodesic.mathdoc.fr/item/TMF_1971_6_3_a5/
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     author = {L. P. Sokur and W. I. Fushchych},
     title = {Equations of motion invariant under the group $\mathscr{P}(1,n)$. {II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Equations are derived that are a generalization of the Dirac equation and are invariant under rotations and translations in a $(1+n)$-dimensional Minkowski space. A group-theoretical analysis of the equations is made. The $P$, $T$, and $C$ properties of these equations are studied.

[1] V. I. Fuschich, TMF, 4 (1970), 360 | Zbl

[2] Yu. V. Novozhilov, I. A. Terentjev, J. Math. Phys., 9 (1968), 1517 | DOI | MR | Zbl

[3] Yu. P. Stepanovskii, Ukr. fiz. zh., 9 (1964), 1165

[4] M. M. Bakri, J. Math. Phys., 10 (1969), 289 | DOI | MR

[5] I. M. Gelfand, M. L. Tsetlin, DAN SSSR, 71 (1950), 1017 | Zbl

[6] V. I. Fushchich, Preprint ITF-69-17, Kiev, 1969