Relativistic system of interacting points as a discrete string
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 2, pp. 294-301
Cet article a éte moissonné depuis la source Math-Net.Ru
A model which is a discrete modification of the string model is suggested for describing $N$-particle relativistic quantum system. Physical state spectrum for $N=2$ and $N=3$ is obtained. In the last case the model possesses an internal symmetry group under which all the physical states are singlets.
@article{TMF_1987_73_2_a11,
author = {V. D. Gershun and A. I. Pashnev},
title = {Relativistic system of interacting points as a~discrete string},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {294--301},
year = {1987},
volume = {73},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_2_a11/}
}
V. D. Gershun; A. I. Pashnev. Relativistic system of interacting points as a discrete string. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 2, pp. 294-301. http://geodesic.mathdoc.fr/item/TMF_1987_73_2_a11/
[1] Schwarz J. H., Phys. Rep., 89 (1982), 223–343 | DOI | MR
[2] Casalbuoni R., Longhi G., Nuovo Cim., 25A (1975), 482–502 | DOI
[3] Barducci A., Dominici D., Nuovo Cim., 37A (1977), 385–398 | DOI
[4] Pronko G. P., Razumov A. V., Solovev L. D., Lagranzhian i kvantovanie pryamolineinoi struny, Preprint 85-74, IFVE, Serpukhov, 1985
[5] Plyuschai M. S., Pronko G. P., Razumov A. V., TMF, 57:3 (1983), 323–337
[6] Polyakov A. M., Phys. Lett., 103B (1981), 207–212 | DOI | MR
[7] Dirak P. A. M., Lektsii po kvantovoi mekhanike, Mir, M., 1968
[8] Barut A., Ronchka R., Teoriya predstavlenii grupp i ee prilozheniya, T. 1, Mir, M., 1980 | MR | Zbl
[9] Khamermesh M., Teoriya grupp i ee primenenie k fizicheskim problemam, Mir, M., 1966 | Zbl