Geodesic
Is relativistic invariance preserved in the limit $\hbar\to 0$?
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 3, pp. 354-359

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Relativistic invariance is shown to be violated in the transition to the classical limit according the usual rule of Wigner and Moyal. A modification of the limiting procedure, which restores the relativistic invariance, is proposed. With the aid of this procedure 3 solutions of the Dirac problem of the classical relativistic hamiltonian description of directly interacting particles are found for the simplest case of two one-dimensional particles. 
@article{TMF_1977_32_3_a5,
     author = {S. N. Sokolov},
     title = {Is relativistic invariance preserved in the limit $\hbar\to 0$?},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {354--359},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_3_a5/}
}
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S. N. Sokolov. Is relativistic invariance preserved in the limit $\hbar\to 0$?. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 3, pp. 354-359. http://geodesic.mathdoc.fr/item/TMF_1977_32_3_a5/