Three-dimensional covariant formulation of the three-body problem in quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 343-353 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A three-dimensional formulation of quantum field theory is used to obtain the relativistic analog of Faddeev's equations for the scattering amplitude. The equations satisfy threeparticle unitarity and the correspondence principle.
@article{TMF_1971_8_3_a5,
     author = {V. M. Vinogradov},
     title = {Three-dimensional covariant formulation of the three-body problem in quantum field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {343--353},
     year = {1971},
     volume = {8},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a5/}
}
TY  - JOUR
AU  - V. M. Vinogradov
TI  - Three-dimensional covariant formulation of the three-body problem in quantum field theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 343
EP  - 353
VL  - 8
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a5/
LA  - ru
ID  - TMF_1971_8_3_a5
ER  - 
%0 Journal Article
%A V. M. Vinogradov
%T Three-dimensional covariant formulation of the three-body problem in quantum field theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 343-353
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a5/
%G ru
%F TMF_1971_8_3_a5
V. M. Vinogradov. Three-dimensional covariant formulation of the three-body problem in quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 343-353. http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a5/

[1] L. D. Faddeev, ZhETF, 39 (1960), 1459 ; Л. Д. Фаддеев, Труды Математического института им. В. А. Стеклова, 69, «Наука», 1963 | MR | MR | Zbl

[2] D. Tz. Stoyanov, A. N. Tavkhelidze, Phys. Lett., 13 (1964), 76 | DOI | MR

[3] V. A. Alessandrini, R. L. Omnes, Phys. Rev., 139 (1965), B197 | DOI | MR

[4] R. Blankenbekler, R. Sugar, Phys. Rev., 142 (1966), 1051 | DOI | MR

[5] B. Z. Freedman, C. Lovelace, I. M. Namyslowski, Nuovo Cim., 43 (1966), A258 | DOI

[6] I. Duck, Advanced in Nuclear Physics, vol. 1, Plenum Press, New York, 1968; K. M. Watson, I. Nuttal, Topics in several Particle Dynamics, Holden and Day, San Francisco, Calif., 1967

[7] A. A. Logunov, A. N. Tavkhelidze, Nuovo Cim., 29 (1963), 380 | DOI | MR

[8] V. G. Kadyshevskii, A. N. Tavkhelidze, Trudy Mezhdunarodnogo simpoziuma po teorii elementarnykh chastits, Varna, 1968

[9] V. A. Matveev, R. M. Muradyan, A. N. Tavkhelidze, Preprint R2-3900, OIYaI, 1969

[10] A. N. Kvinikhidze, D. Ts. Stoyanov, Preprint R4-4814, OIYaI, 1969 | MR

[11] V. G. Kadyshevskii, ZhETF, 46 (1964), 654 ; ЖЭТФ, 46 (1964), 872 ; ДАН СССР, 160 (1965), 573 | MR | MR | MR

[12] V. G. Kadyshevsky, Preprint No 7, ITF, Kiev, 1967

[13] V. G. Kadyshevsky, Nucl. Phys., B6 (1968), 125 | DOI

[14] V. G. Kadyshevsky, M. D. Mateev, Nuovo Cim., 55A (1968), 275 | DOI

[15] V. G. Kadyshevsky, R. Mir-Kasimov, N. B. Skachkov, Nuovo Cim., 55A (1968), 233 | DOI

[16] V. G. Kadyshevsky, M. D. Mateev, R. M. Mir-Kasimov, JINR Preprint E2-4030, Dubna, 1968

[17] M. Freeman, M. D. Mateev, R. M. Mir-Kasimov, Nucl. Phys., B12 (1969), 197 | DOI

[18] V. G. Kadyshevskii, R. M. Mir-Kasimov, N. B. Skachkov, YaF, 9 (1969), 212 | MR

[19] V. G. Kadyshevskii, R. M. Mir-Kasimov, N. B. Skachkov, YaF, 9 (1969), 462 | MR

[20] V. G. Kadyshevskii, R. M. Mir-Kasimov, N. B. Skachkov, YaF, 9 (1969), 646 | MR

[21] E. P. Zhidkov, V. G. Kadyshevskii, Yu. V. Katyshev, Preprint R2-4767, OIYaI, 1969

[22] V. M. Vinogradov, TMF, 7 (1971), 389