Two-body relativistic systems

Ph. Droz-Vincent

Annales de l'I.H.P. Physique théorique (1977)

  • Volume: 27, Issue: 4, page 407-424
  • ISSN: 0246-0211

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Droz-Vincent, Ph.. "Two-body relativistic systems." Annales de l'I.H.P. Physique théorique 27.4 (1977): 407-424. <http://eudml.org/doc/75967>.

@article{Droz1977,
author = {Droz-Vincent, Ph.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {4},
pages = {407-424},
publisher = {Gauthier-Villars},
title = {Two-body relativistic systems},
url = {http://eudml.org/doc/75967},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Droz-Vincent, Ph.
TI - Two-body relativistic systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1977
PB - Gauthier-Villars
VL - 27
IS - 4
SP - 407
EP - 424
LA - eng
UR - http://eudml.org/doc/75967
ER -

References

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  1. [1] D.G. Currie, Journ. Math. Phys., t. 4, 1963, p. 1470; Phys. Rev., t. 142, 1966, p. 817. Zbl0125.19505
  2. D.G. Currie, T.F. Jordan, E.C.G. Sudarshan, Rev. Mod. Phys., t. 35, 1963, p. 350. MR151138
  3. R.N. Hill, E.H. Kerner, Phys. Rev. Letters, t. 17, 1966, p. 1156. Zbl0144.23503
  4. R.N. Hill, Journ. Math. Phys., t. 8, 1967, p. 1756; t. 11, 1970, p. 1918. 
  5. L. Bel, Ann. Inst. H. Poincaré, t. 3, 1970, p. 307. MR266567
  6. [2] Ph. Droz-Vincent, Lett. Nuovo Cim., t. 1, 1969, p. 839; Physica Scripta, t. 2, 1970, p. 129. Zbl1063.83553
  7. [3] J.G. Wray, Phys. Rev., t. D 1, n° 8, 1970, p. 2212. 
  8. [4] Ph. Droz-Vincent, Nuovo Cimento, t. 12 B, n° 1, 1972, p. 1. MR342119
  9. [5] Ph. Droz-Vincent, Lett. Nuovo Cim., t. 7, n° 6, 1973, p. 206. 
  10. [6] Ph. Droz-Vincent, Reports on Math. Phys., t. 8, n° 1, 1975, p. 79. MR418156
  11. [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 The correct proof is due to J. Martin (unpublished). 
  12. [8] Ph. Droz-Vincent, Hamiltonian Construction of Predictive Systems. Book in the honor of A. Lichnerowicz, Cahen and Flato, ed. D. Reidel, Dordrecht, 1977. Zbl0352.70011MR468429
  13. [9] Recall that, even in classical mechanics, the positions are H-J-coordinates only in the free case. 
  14. [10] L. Bel, J. Martin, Ann. Inst. H. Poincaré, t. XXII, n° 3, 1975, p. 173. In this paper they have introduced H-J-coordinates in Predictive Mechanics. MR378697
  15. [11] Landau-Lifshitz, The classical Theory of Fields, Chap. 2, p. 39, Pergamon. Zbl0178.28704
  16. [12] Ph. Droz-Vincent, C. R. Acad. Sc. Paris, t. 280 A, 1975, p. 1169. MR376071
  17. [13] A different generalization is considered in ref. [8]. 
  18. [14] Ph. Droz-Vincent, C. R. Acad. Sc. Paris, t. 282 A, 1976, p. 727. 
  19. [15] See for instance: H. Bacry, H. Ruegg, J.M. Souriau, Comm. Math. Phys., t. 3, 1966, p. 323. Zbl0151.34204
  20. [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: 
  21. Y.S. Kim, M.E. Noz, Phys. Rev., t. D 12, 1975, p. 129; t. D 12, 1975, p. 122. 
  22. Y.S. Kim, S.H. Oh, Preprint, 1976. 
  23. J.F. Gunion, L.F. Li, Phys. Rev., t. D 12, n° 11, 1975, p. 3583. 

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