@article{AIHPA_1984__40_1_59_0, author = {Gomis, J. and Lobo, J. A. and Poch, A. and Pons, J. M.}, title = {A singular lagrangian model for {N-body} relativistic interactions}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {59--76}, publisher = {Gauthier-Villars}, volume = {40}, number = {1}, year = {1984}, mrnumber = {745681}, zbl = {0592.70014}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1984__40_1_59_0/} }
TY - JOUR AU - Gomis, J. AU - Lobo, J. A. AU - Poch, A. AU - Pons, J. M. TI - A singular lagrangian model for N-body relativistic interactions JO - Annales de l'I.H.P. Physique théorique PY - 1984 SP - 59 EP - 76 VL - 40 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1984__40_1_59_0/ LA - en ID - AIHPA_1984__40_1_59_0 ER -
%0 Journal Article %A Gomis, J. %A Lobo, J. A. %A Poch, A. %A Pons, J. M. %T A singular lagrangian model for N-body relativistic interactions %J Annales de l'I.H.P. Physique théorique %D 1984 %P 59-76 %V 40 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1984__40_1_59_0/ %G en %F AIHPA_1984__40_1_59_0
Gomis, J.; Lobo, J. A.; Poch, A.; Pons, J. M. A singular lagrangian model for N-body relativistic interactions. Annales de l'I.H.P. Physique théorique, Volume 40 (1984) no. 1, pp. 59-76. http://archive.numdam.org/item/AIHPA_1984__40_1_59_0/
[1] Relativistic Action at a Distance Classical and Quantum Aspects, Lecture Notes in Physics, t. 162, 1982, Springer-Verlag. Edited by J. Llosa. | MR
[2] Reports. Math. Phys., t. 8, 1974, p. 79; Ann. Inst. H. Poincaré, t. 27, 1977, p. 407; t. 32, 1980, p. 377.
,[3] 18A, 1973, p. 57. | Numdam | MR
, Ann. Inst. H. Poincaré, t.25A, 1976, p. 411. | Numdam | Zbl
, , Ann. Inst. H. Poincaré, t.22A, 1975, p. 173. | Numdam | MR
, , Ann. Inst. H. Poincaré, t.[4] Lectures on Quantum Mechanics, Belfer Graduate School of Science, Monographs Series, Yeshiva University, New York, N. Y., 1964.
,Classical Mechanics: A Modern Perspective, New York, N. Y., 1974. | Zbl
and ,[5] Dynamics of relativistic point particles as a problem with constraints, Comm. JINRE2-10125, Dubna, 1976.
,Comm. Math. Phys., t. 79, 1981, p. 111. | MR
and ,162, 1982, p. 213, Springer-Verlag. Edited by J. Llosa. | MR
, Lecture Notes in Physics, t.[6] Phys. Rev., t. D18, p. 1881, 1887 and 3617, 1978 and t. D19, 1979, p. 2408. | MR
,[7] Phys. Rev., t. D23, 1981, p. 1305.
,162, 1982, p. 190, Springer-Verlag. Edited by J. Llosa. | MR
, Lecture Notes in Physics, t.[8] See the second work of ref. [5].
[9] Phys. Rev., D23, 1981, p. 2201. | MR
, and ,Phys. Rev., t. D23, 1981, p. 2210. | MR
and ,Phys. Rev., t. A23, 1981, p. 2218. | MR
, and ,Phys. Rev., t. A23, 1981, p. 2231. | MR
, and ,[10] Gauge-fixings. Evolution Generators and World-line Conditions in Relativistic Classical Mechanics with Constraints, Geneve Univ., preprint UGVADPT, 1981, 04-289. | MR
,[11] Progr. Theor. Phys., t. 57, 1977, p. 331; Prog. Theor. Phys., t. 67, 1979, p. 1. | MR | Zbl
,[12] Prog. Theor. Phys., t. 58, 1977, p. 383.
and ,[13] Nuovo Cimento, t. 48B, 1978, p. 152; t. 48A, 1978, p. 257 and t. 56A, 1980, p. 263. | MR
, and ,[14] 35, 1981, p. 17. | Numdam | MR
, and , Ann. Inst. H. Poincaré, t.[15] A Model for N-Classical Relativistic Particles, Syracuse Univ., preprint COO-353-182, 1980.
,[16] Constraints in Relativistic Hamiltonian Mechanics, preprint, 1982. | MR
,[17] Relativistic particle models with separable interactions, preprint, 1982. | MR
,[18] Rev. Mod. Phys., t. 21, 1949, p. 392. | Zbl
,[19] Phys. Rev., t. 92, 1953, p. 1300. | Zbl
and ,[20] Phys. Rev., t. 122, 1981, p. 275.
,[21] Nuovo Cimento, 56 A, 1980, p. 263. | MR
, and ,[22] Realizaciones canonicas y siestemas relativistas, Comunicat a « Encuentros Relativistas 82 », Bilbao, Juny 1982.
, and ,[23] 32A, 1980, p. 303. | Numdam | MR | Zbl
, and , Ann. Inst. H. Poincaré, t.[24] Nuovo Cimento, t. 61 B, 1981, p. 306.
, , and ,[25] Ann. Phys. (N. Y.), t. 148, 1983, p. 192. | MR
,[26] Nuovo Cimento, t. 65B, 1981, p. 135. | MR
,[27] 162, 1982, p. 50. Springer-Verlag. Edited by J. Llosa.
and references, Lecture Notes in Physics, t.[28] Lett. Math. Phys., t. 5, 1981, p. 461. | MR
, ,[29] Lett. Math. Phys., t. 5, 1981, p. 319. | MR
,[30] 162, 1982, p. 149, Springer-Verlag. Edited by J. Llosa.
, , and , Lecture Notes in Physics, t.[31] Nuovo Cimento, t. 64B, 1981, p. 316.
, and ,[32] 35, 1981, p. 1. | Numdam | MR
, , and , Ann. Inst. H. Poincaré, t.[33] J. Math. Phys., t. 14, 1973, p. 677. | Zbl
,[34] J. Math. Phys., t. 21, 1980, p. 2124. | MR | Zbl
and ,[35] Pfaff's Problem and its Generalizations (Clarendon, Oxford, 1949). | Zbl
and ,[36] Techniques in Partial Dirrerential equations (McGraw-Hill, Kogakusha, Tokyo, 1971). | MR | Zbl
,[37] Continuous Groups of Transformations (Dover, New York, 1961). | MR | Zbl
,[38] For the two-particles case see. Nuovo Cimento, t. 48A, 1978, p. 257.
, and ,Prog. Theor. Phys., t. 58, 1977, p. 1347. | MR
,[39] Phys. Rev., t. 133B, 1964, p. 1318. | MR | Zbl
,[40] Nuovo Cimento, t. A48, 1978, p. 91. | MR
, and ,[41] Phys. Rev., t. D8, 1973, p. 3521. | MR
and ,[42] Phys. Rev., t. 24, 1981, p. 1528. | MR
and ,[43] Nuovo Cimento, t. 58A, 1980, p. 355.
,[44] Ann. Phys. (N. Y.), t. 112, 1978, p. 94. | MR
and ,[45] Phys. Rev., t. D20, 1979, p. 1849.
and ,[46] An exactly solvable model in P. R. M. Quantization II, preprint Universitat Barcelona UBET-3-82.
, , and ,