Three-dimensional covariant formulation of the two-body problem in quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 3, pp. 289-297 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The relativistic two-body problem is considered in an arbitrary frame of reference on the basis of the three-dimensional formulation of quantum field theory. Relative momenta are introduced by means of an addition operation in Lobachevskii space; it is shown the center of mass motion can then be separated and the problem formulated in a single-particle form. This makes it possible to formulate the quasipotential approach in a covariant form mad introduce a relativistic configuration space. This approach is compared with the analogous formulation of the nonrelativistic problem.
@article{TMF_1971_7_3_a0,
     author = {V. M. Vinogradov},
     title = {Three-dimensional covariant formulation of the two-body problem in quantum field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {289--297},
     year = {1971},
     volume = {7},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_3_a0/}
}
TY  - JOUR
AU  - V. M. Vinogradov
TI  - Three-dimensional covariant formulation of the two-body problem in quantum field theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 289
EP  - 297
VL  - 7
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1971_7_3_a0/
LA  - ru
ID  - TMF_1971_7_3_a0
ER  - 
%0 Journal Article
%A V. M. Vinogradov
%T Three-dimensional covariant formulation of the two-body problem in quantum field theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 289-297
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1971_7_3_a0/
%G ru
%F TMF_1971_7_3_a0
V. M. Vinogradov. Three-dimensional covariant formulation of the two-body problem in quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 3, pp. 289-297. http://geodesic.mathdoc.fr/item/TMF_1971_7_3_a0/

[1] H. Bethe, E. Salpeter, Phys. Rev., 82 (1951), 309 ; M. Gell-Mann, F. Low, Phys. Rev., 95 (1954), 1300 | MR | DOI | MR | Zbl

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

[3] A. A. Logunov, V. I. Savrin, N. E. Tyurin, O. A. Khrustalev, Preprint IFVE, STF 70-60, Serpukhov, 1970 | Zbl

[4] V. G. Kadyshevskii, A. N. Tavkhelidze, Problemy teoreticheskoi fiziki, Sbornik, posvyaschennyi N. N. Bogolyubovu v svyazi s ego 60-letiem, «Nauka», 1969 | MR

[5] V. A. Matveev, R. M. Muradyan, A. N. Tavkhelidze, Preprint JINR, E2-3458, Dubna, 1967

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

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

[8] C. Itzykson, V. G. Kadyshevsky, I. T. Todorov, Phys. Rev., 1D (1970), 2823

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

[10] I. S. Shapiro, DAN SSSR, 106 (1956), 647 | Zbl

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

[12] V. G. Kadyshevskii, R. M. Mir-Kasimov, M. Friman, YaF, 9 (1969), 646 | MR

[13] V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kasimov, YaF, 11 (1969), 692

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

[15] A. D. Donkov, V. G. Kadyshevsky, M. D. Mateev, R. M. Mir-Kasimov, Preprint JINR, E2-5341, Dubna, 1970

[16] V. R. Garsevanishvili, V. G. Kadyshevsky, R. M. Mir-Kasimov, N. B. Skachkov, Preprint JINR, E2-5341, Dubna, 1970

[17] L. S. Rodberg, R. M. Thaler, Introduction in the Quantum of Scattering, Acad. Press, New-York–London, 1967

[18] V. G. Kadyshevskii, DAN SSSR, 147 (1962), 588