Two-body relativistic systems
Annales de l'I.H.P. Physique théorique, Tome 27 (1977) no. 4, p. 407-424
@article{AIHPA_1977__27_4_407_0,
     author = {Droz-Vincent, Philippe},
     title = {Two-body relativistic systems},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {27},
     number = {4},
     year = {1977},
     pages = {407-424},
     mrnumber = {496313},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1977__27_4_407_0}
}
Droz-Vincent, Ph. Two-body relativistic systems. Annales de l'I.H.P. Physique théorique, Tome 27 (1977) no. 4, pp. 407-424. http://www.numdam.org/item/AIHPA_1977__27_4_407_0/

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[6] Ph. Droz-Vincent, Reports on Math. Phys., t. 8, n° 1, 1975, p. 79. | MR 418156

[7] Our argument about it in ref. [4] is wrong, a term being omitted, thus its p. 8 is erroneous. However the theorem thereby stated in covariant form is true in the Poincaré invariant case. The correct proof is due to J. Martin (unpublished).

[8] Ph. Droz-Vincent, Hamiltonian Construction of Predictive Systems. Book in the honor of A. Lichnerowicz, Cahen and Flato, ed. D. Reidel, Dordrecht, 1977. | MR 468429 | Zbl 0352.70011

[9] Recall that, even in classical mechanics, the positions are H-J-coordinates only in the free case.

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[13] A different generalization is considered in ref. [8].

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[15] See for instance: H. Bacry, H. Ruegg, J.M. Souriau, Comm. Math. Phys., t. 3, 1966, p. 323. | Zbl 0151.34204

[16] In contrast with our point of view, some authors have introduced quantum relativistic oscillators by wave equations which are not derived from a classical system by the procedure of quantization:

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Y.S. Kim, S.H. Oh, Preprint, 1976.

J.F. Gunion, L.F. Li, Phys. Rev., t. D 12, n° 11, 1975, p. 3583.