Geodesic
Impact parameter representations from the point of view of the Poincar\'e group
Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 3, pp. 407-421

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

Impact parameter representations for the two-particle scattering amplitude are derived by expanding the two-particle state with respect to groups that are isomorphic to the group of motions of the plane $E(2)$. The generators of these groups are expressed in terms of the operators of the total angular momentum and the relative momentum of two particles, As a result, the impact parameter operator and states of two particles with definite impact parameter acquire a meaning in terms of the Poincaré group. 
@article{TMF_1973_17_3_a8,
     author = {A. A. Andrianov},
     title = {Impact parameter representations from the point of view of the {Poincar\'e} group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {407--421},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a8/}
}
TY  - JOUR
AU  - A. A. Andrianov
TI  - Impact parameter representations from the point of view of the Poincar\'e group
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 407
EP  - 421
VL  - 17
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a8/
LA  - ru
ID  - TMF_1973_17_3_a8
ER  - 
%0 Journal Article
%A A. A. Andrianov
%T Impact parameter representations from the point of view of the Poincar\'e group
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 407-421
%V 17
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a8/
%G ru
%F TMF_1973_17_3_a8
A. A. Andrianov. Impact parameter representations from the point of view of the Poincar\'e group. Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 3, pp. 407-421. http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a8/