A singular lagrangian model for N-body relativistic interactions
Gomis, J. ; Lobo, J. A. ; Poch, A. ; Pons, J. M.
Annales de l'I.H.P. Physique théorique, Tome 41 (1984), p. 59-76 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1984-01-01
@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},
     volume = {41},
     year = {1984},
     pages = {59-76},
     mrnumber = {745681},
     zbl = {0592.70014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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, Tome 41 (1984) pp. 59-76. http://gdmltest.u-ga.fr/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 705646

[2] P.H. Droz-Vincent, Reports. Math. Phys., t. 8, 1974, p. 79; Ann. Inst. H. Poincaré, t. 27, 1977, p. 407; t. 32, 1980, p. 377.

[3] L. Bel, Ann. Inst. H. Poincaré, t. 18A, 1973, p. 57. | Numdam | MR 334814

L. Bel, X. Fustero, Ann. Inst. H. Poincaré, t. 25A, 1976, p. 411. | Numdam | Zbl 0347.35070

L. Bel, J. Martin, Ann. Inst. H. Poincaré, t. 22A, 1975, p. 173. | Numdam | MR 378697

[4] P.A.M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science, Monographs Series, Yeshiva University, New York, N. Y., 1964.

E.C.G. Sudarshan and N. Mukunda, Classical Mechanics: A Modern Perspective, New York, N. Y., 1974. | Zbl 0329.70001

[5] I.T. Todorov, Dynamics of relativistic point particles as a problem with constraints, Comm. JINRE2-10125, Dubna, 1976.

V.V. Molotkov and I.T. Todorov, Comm. Math. Phys., t. 79, 1981, p. 111. | MR 609231

I.T. Todorov, Lecture Notes in Physics, t. 162, 1982, p. 213, Springer-Verlag. Edited by J. Llosa. | MR 705659

[6] A. Komar, Phys. Rev., t. D18, p. 1881, 1887 and 3617, 1978 and t. D19, 1979, p. 2408. | MR 507596

[7] F. Rohrlich, Phys. Rev., t. D23, 1981, p. 1305.

F. Rohrlich, Lecture Notes in Physics, t. 162, 1982, p. 190, Springer-Verlag. Edited by J. Llosa. | MR 705658

[8] See the second work of ref. [5].

[9] A. Kihlberg, R. Marnelius and N. Mukunda, Phys. Rev., D23, 1981, p. 2201. | MR 616762

N. Mukunda and E.C.G. Sudarshan, Phys. Rev., t. D23, 1981, p. 2210. | MR 616763

E.C.G. Sudarshan, N. Mukunda and J.N. Goldber, Phys. Rev., t. A23, 1981, p. 2218. | MR 616764

J.N. Goldberg, E.C.G. Sudarshan and N. Mukunda, Phys. Rev., t. A23, 1981, p. 2231. | MR 616765

[10] L. Lusanna, Gauge-fixings. Evolution Generators and World-line Conditions in Relativistic Classical Mechanics with Constraints, Geneve Univ., preprint UGVADPT, 1981, 04-289. | MR 638825

[11] T. Takabayasi, Progr. Theor. Phys., t. 57, 1977, p. 331; Prog. Theor. Phys., t. 67, 1979, p. 1. | MR 489688 | Zbl 01662221

[12] K. Kaminura and T. Schimizu, Prog. Theor. Phys., t. 58, 1977, p. 383.

[13] D. Dominici, J. Gomis and G. Longhi, Nuovo Cimento, t. 48B, 1978, p. 152; t. 48A, 1978, p. 257 and t. 56A, 1980, p. 263. | MR 579533

[14] J. Gomis, J.A. Lobo and J.M. Pons, Ann. Inst. H. Poincaré, t. 35, 1981, p. 17. | Numdam | MR 626555

[15] L. Lusanna, A Model for N-Classical Relativistic Particles, Syracuse Univ., preprint COO-353-182, 1980.

[16] J. Samuel, Constraints in Relativistic Hamiltonian Mechanics, preprint, 1982. | MR 687166

[17] J. Samuel, Relativistic particle models with separable interactions, preprint, 1982. | MR 687167

[18] P.A.M. Dirac, Rev. Mod. Phys., t. 21, 1949, p. 392. | Zbl 0035.26803

[19] B. Bakamjian and L.H. Thomas, Phys. Rev., t. 92, 1953, p. 1300. | Zbl 0052.22301

[20] L1 Foldy, Phys. Rev., t. 122, 1981, p. 275.

[21] D. Dominici, J. Gomis and J.G. Longhi, Nuovo Cimento, 56 A, 1980, p. 263. | MR 579533

[22] J. Gomis, M. Novell and J.M. Pons, Realizaciones canonicas y siestemas relativistas, Comunicat a « Encuentros Relativistas 82 », Bilbao, Juny 1982.

[23] J. Llosa, F. Marques and A. Molina, Ann. Inst. H. Poincaré, t. 32A, 1980, p. 303. | Numdam | MR 594630 | Zbl 0452.35105

[24] D. Dominici, J. Gomis, J.A. Lobo and J.M. Pons, Nuovo Cimento, t. 61 B, 1981, p. 306.

[25] J.M. Pons, Ann. Phys. (N. Y.), t. 148, 1983, p. 192. | MR 710171

[26] L. Lusanna, Nuovo Cimento, t. 65B, 1981, p. 135. | MR 638825

[27] F. Coester and references, Lecture Notes in Physics, t. 162, 1982, p. 50. Springer-Verlag. Edited by J. Llosa.

[28] S.I. Bidikov, I.T. Todorov, Lett. Math. Phys., t. 5, 1981, p. 461. | MR 637625

[29] H. Sazdjian, Lett. Math. Phys., t. 5, 1981, p. 319. | MR 626299

[30] G. Longhi, D. Dominici, J. Gomis and J.A. Lobo, Lecture Notes in Physics, t. 162, 1982, p. 149, Springer-Verlag. Edited by J. Llosa.

[31] J. Gomis, J.A. Lobo and J.M. Pons, Nuovo Cimento, t. 64B, 1981, p. 316.

[32] V. Iranzo, J. Llosa, F. Marques and A. Molina, Ann. Inst. H. Poincaré, t. 35, 1981, p. 1. | Numdam | MR 626554

[33] S. Shanmugadhasan, J. Math. Phys., t. 14, 1973, p. 677. | Zbl 0282.70012

[34] D. Dominici and J. Gomis, J. Math. Phys., t. 21, 1980, p. 2124. | MR 579209 | Zbl 0448.70017

[35] J.A. Shouten and W. Van Der Kulk, Pfaff's Problem and its Generalizations (Clarendon, Oxford, 1949). | Zbl 0033.36904

[36] C.R. Chester, Techniques in Partial Dirrerential equations (McGraw-Hill, Kogakusha, Tokyo, 1971). | MR 269961 | Zbl 0209.12002

[37] L.P. Eisenhart, Continuous Groups of Transformations (Dover, New York, 1961). | MR 124008 | Zbl 0096.02103

[38] D. Dominici, J. Gomis and J. Longhi, For the two-particles case see. Nuovo Cimento, t. 48A, 1978, p. 257.

K. Kamimura, Prog. Theor. Phys., t. 58, 1977, p. 1347. | MR 464943

[39] S. Weinberg, Phys. Rev., t. 133B, 1964, p. 1318. | MR 165884 | Zbl 0134.45904

[40] L. Castellani, D. Dominici and G. Longhi, Nuovo Cimento, t. A48, 1978, p. 91. | MR 515501

[41] Y.S. Kim and M.E. Noz, Phys. Rev., t. D8, 1973, p. 3521. | MR 363243

[42] L.P. Horwitz and F. Rohrlich, Phys. Rev., t. 24, 1981, p. 1528. | MR 628857

[43] Ph. Droz-Vincent, Nuovo Cimento, t. 58A, 1980, p. 355.

[44] H. Leutwyler and J. Stern, Ann. Phys. (N. Y.), t. 112, 1978, p. 94. | MR 489446

[45] S. Mallik and E. Hugentobler, Phys. Rev., t. D20, 1979, p. 1849.

[46] V. Iranzo, J. Llosa, F. Marques and A. Molina, An exactly solvable model in P. R. M. Quantization II, preprint Universitat Barcelona UBET-3-82.