Geodesic
Physical equivalence of the three forms of relativistic dynamics and addition of interactions in the front and instant forms
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 3, pp. 291-304 
S. N. Sokolov; A. N. Shatnii. Physical equivalence of the three forms of relativistic dynamics and addition of interactions in the front and instant forms. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 3, pp. 291-304. http://geodesic.mathdoc.fr/item/TMF_1978_37_3_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that in the general case (in the presence of spins and many channels) the point, instant, and front forms of relativistic Hamiltonian theory are S-matrix equivalent; the transformations connecting them are found explicitly. The problem of the relativistic addition of direct interactions in the front and instant forms is solved.

[1] S. N. Sokolov, TMF, 32 (1977), 354 | MR

[2] L. L. Foldy, Phys. Rev., 122 (1961), 275 | DOI

[3] S. N. Sokolov, TMF, 36 (1978), 193 | MR

[4] S. N. Sokolov, TMF, 23 (1975), 355 | MR | Zbl

[5] P. A. M. Dirac, Rev. Mod. Phys., 21 (1949), 392 | DOI | MR | Zbl

[6] H. Leutwyler, J. Stern, Preprint IPNO/TH 77-11, Orsay, 1977

[7] F. Coester, Helv. Phys. Acta, 38 (1965), 7 | MR | Zbl

[8] T. F. Jordan, A. J. Macfarlane, E. C. G. Sudarshan, Phys. Rev., 133B (1964), 487 | DOI | MR

[9] R. Fong, J. Sucher, J. Math. Phys., 5 (1964), 456 | DOI | MR

[10] F. Coester, S. C. Pieper, F. J. D. Serduke, Phys. Rev., C11 (1975), 1

[11] C. Fronsdal, Phys. Rev., D4 (1971), 1689

[12] V. B. Berestetskii, M. V. Terentev, YaF, 24 (1976), 1044

[13] L. L. Foldy, R. A. Krajcik, Phys. Rev. Lett., 32 (1974), 1025 ; Phys. Rev., D12 (1975), 1700 | DOI | MR

[14] S. N. Sokolov, DAN SSSR, 221 (1975), 809

[15] S. N. Sokolov, DAN SSSR, 233 (1977), 575

[16] R. Nyuton, Teoriya rasseyaniya voln i chastits, «Mir», 1969 | MR

[17] S. N. Sokolov, TMF, 24 (1975), 236 | MR

[18] B. Bakamjian, Phys. Rev., 121 (1961), 1849 | DOI | MR | Zbl

[19] F. Coester, L. Schlessinger, Ann. Phys. (N.Y.), 78 (1973), 90 | DOI

[20] R. Striter, A. Vaitman, $PCT$, spin i statistika i vse takoe, «Nauka», 1966, gl. 1