Geodesic
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

Voir la notice de l'article provenant de la source Math-Net.Ru

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},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1971},
     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
PB  - mathdoc
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
%I mathdoc
%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/