Relativistic spin particles
Bona, C. ; Fustero, X.
Annales de l'I.H.P. Physique théorique, Tome 35 (1981), p. 113-130 / Harvested from Numdam
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Publié le : 1981-01-01
@article{AIHPA_1981__35_2_113_0,
     author = {Bona, C. and Fustero, Xavier},
     title = {Relativistic spin particles},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {35},
     year = {1981},
     pages = {113-130},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1981__35_2_113_0}
}

Bona, C.; Fustero, X. Relativistic spin particles. Annales de l'I.H.P. Physique théorique, Tome 35 (1981) pp. 113-130. http://gdmltest.u-ga.fr/item/AIHPA_1981__35_2_113_0/

[1] D.G. Currie, Phys. Rev., t. 142, 1966, p. 817. R.N. Hill, J. Math. Phys., t. 8, 1967, p. 201. | MR 198924

[2] L. Bel, Ann. Inst. H. Poincaré, t. 12, 1970, p. 307. | Numdam | MR 266567

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

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

D. Hirondel, J. Math. Phys., t. 15, 1974, p. 1689.

[4] X. Fustero, E. Verdaguer, Prepint U. A. B.-FT-49 (Submitted to Phys. Rev.).

[5] X. Fustero, E. Verdaguer, Prepint U. A. B.-FT-50 (Submitted to Phys. Rev.).

[6] L.G. Suttorp, S.R. De Groot, Nuovo Cim., t. 65, 1970, p. 245.

[7] L. Bel, J. Martin, Ann. Inst. H. Poincaré, t. 33, 1980, p. 409. | Numdam

J.M. Gracia Bondia, Phys. Lett., 75 A, t. 4, 1980, p. 262. | MR 594395

[8] L. Bel, J. Martin, « Pred. Rel. Mech. of systems of N part. with spin II. : the electromagnetic interaction » (submitted to Ann. Inst. H. Poincuré).

[9] See for instance E.C.G. Sudarshan, N. Mukunda, Classical Dynamics, Wiley, 1974. | MR 434047 | Zbl 0329.70001

[10] It is possible, of course, to preserve the canonicity of the coordinates in spite of their transformation properties. To make one or another choice is a matter of taste at this classical level.

[11] V. Bargmann, L. Michel and V.L. Telegdi, Phys. Rev. Lett., t. 2, 1959, p. 435.

[12] The equations coincide with the ones previously obtained by L. BEL and J. MARTIN (8).

[13] This choice is justified because this restriction is equivalent to the assymptotic condition on the symplectic form limλ→-∞ R(λ)dq ^ dp = dx ^ dp and guarantees the unicity of the Hamiltonian formulation based, in the scalar case, on this symplectic form (See for details the ref. cited below.)

[14] This dimensional condition requires the presence of some new constant with dimensions of a length. This result is a direct consequence of (8.2): no such additional constant is required in the paper by L. Bel and J. Martin (Ann. Inst. H. Poincaré, t. 22, 1975, p. 173), which deals with structureless particles because their corresponding fourdimensional assymptotic condition is even weaker than (8.2).

[15] R. Lapiedra, F. Marqués and A. Molina, J. Math. Phys., t. 20, 1979, p. 1316. | MR 538703