Geodesic
On equations of nonrelativistic $S$-matrix theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 73-84 
A. F. Grashin. On equations of nonrelativistic $S$-matrix theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 1, pp. 73-84. http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a7/
@article{TMF_1971_8_1_a7,
     author = {A. F. Grashin},
     title = {On equations of nonrelativistic $S$-matrix theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {73--84},
     year = {1971},
     volume = {8},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a7/}
}
TY  - JOUR
AU  - A. F. Grashin
TI  - On equations of nonrelativistic $S$-matrix theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1971
SP  - 73
EP  - 84
VL  - 8
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a7/
LA  - ru
ID  - TMF_1971_8_1_a7
ER  - 
%0 Journal Article
%A A. F. Grashin
%T On equations of nonrelativistic $S$-matrix theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1971
%P 73-84
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1971_8_1_a7/
%G ru
%F TMF_1971_8_1_a7

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

A complete system of equations is proposed for nonrelativistie $S$-matrix theory. The system consists of Ekstein's equations [4] and new additional equations that eliminate the ambiguity in the solution of the previously known bilinear equations. The equations are used to find certain general relationships between different amplitudes. A specific example studied is the ease of two particles with a separable interaction.

[1] G. F. Chew, The analytic $S$-matrix, N. Y., Amsterdam, 1966 ; Dzh. Chyu, Analiticheskaya teoriya $S$-matritsy, «Mir», 1968 | MR | Zbl

[2] D. V. Shirkov, V. V. Serebryakov, V. A. Mescheryakov, Dispersionnye teorii silnykh vzaimodeistvii pri nizkikh energiyakh, «Nauka», 1967

[3] A. F. Grashin, K teorii mikrochastits, Doktorskaya dissertatsiya, 1966

[4] H. Ekstein, Phys. Rev., 101 (1956), 880 | DOI | MR | Zbl

[5] G. F. Chew, F. E. Low, Phys. Rev., 101 (1956), 1570 | DOI | MR | Zbl

[6] L. Castillejo, R. H. Dalitz, F. J. Dyson, Phys. Rev., 101 (1956), 453 | DOI | Zbl