Two-body relativistic systems
Annales de l'I.H.P. Physique théorique (1977)
- Volume: 27, Issue: 4, page 407-424
- ISSN: 0246-0211
Access Full Article
topHow to cite
topDroz-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
top- [1] D.G. Currie, Journ. Math. Phys., t. 4, 1963, p. 1470; Phys. Rev., t. 142, 1966, p. 817. Zbl0125.19505
- D.G. Currie, T.F. Jordan, E.C.G. Sudarshan, Rev. Mod. Phys., t. 35, 1963, p. 350. MR151138
- R.N. Hill, E.H. Kerner, Phys. Rev. Letters, t. 17, 1966, p. 1156. Zbl0144.23503
- R.N. Hill, Journ. Math. Phys., t. 8, 1967, p. 1756; t. 11, 1970, p. 1918.
- L. Bel, Ann. Inst. H. Poincaré, t. 3, 1970, p. 307. MR266567
- [2] Ph. Droz-Vincent, Lett. Nuovo Cim., t. 1, 1969, p. 839; Physica Scripta, t. 2, 1970, p. 129. Zbl1063.83553
- [3] J.G. Wray, Phys. Rev., t. D 1, n° 8, 1970, p. 2212.
- [4] Ph. Droz-Vincent, Nuovo Cimento, t. 12 B, n° 1, 1972, p. 1. MR342119
- [5] Ph. Droz-Vincent, Lett. Nuovo Cim., t. 7, n° 6, 1973, p. 206.
- [6] Ph. Droz-Vincent, Reports on Math. Phys., t. 8, n° 1, 1975, p. 79. MR418156
- [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 The correct proof is due to J. Martin (unpublished).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. Zbl0352.70011MR468429
- [9] Recall that, even in classical mechanics, the positions are H-J-coordinates only in the free case.
- [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
- [11] Landau-Lifshitz, The classical Theory of Fields, Chap. 2, p. 39, Pergamon. Zbl0178.28704
- [12] Ph. Droz-Vincent, C. R. Acad. Sc. Paris, t. 280 A, 1975, p. 1169. MR376071
- [13] A different generalization is considered in ref. [8].
- [14] Ph. Droz-Vincent, C. R. Acad. Sc. Paris, t. 282 A, 1976, p. 727.
- [15] See for instance: H. Bacry, H. Ruegg, J.M. Souriau, Comm. Math. Phys., t. 3, 1966, p. 323. Zbl0151.34204
- [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:
- Y.S. Kim, M.E. Noz, Phys. Rev., t. D 12, 1975, p. 129; t. D 12, 1975, p. 122.
- Y.S. Kim, S.H. Oh, Preprint, 1976.
- J.F. Gunion, L.F. Li, Phys. Rev., t. D 12, n° 11, 1975, p. 3583.
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.