Geodesic
Jost function for two-channel scattering problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 1, pp. 100-105 
M. L. Kharakhan; Yu. M. Shirokov. Jost function for two-channel scattering problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 1, pp. 100-105. http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a7/
@article{TMF_1970_3_1_a7,
     author = {M. L. Kharakhan and Yu. M. Shirokov},
     title = {Jost function for two-channel scattering problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {100--105},
     year = {1970},
     volume = {3},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a7/}
}
TY  - JOUR
AU  - M. L. Kharakhan
AU  - Yu. M. Shirokov
TI  - Jost function for two-channel scattering problem
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1970
SP  - 100
EP  - 105
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a7/
LA  - ru
ID  - TMF_1970_3_1_a7
ER  - 
%0 Journal Article
%A M. L. Kharakhan
%A Yu. M. Shirokov
%T Jost function for two-channel scattering problem
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 100-105
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a7/
%G ru
%F TMF_1970_3_1_a7

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

The Jost function is generalized to the case of two-channel scattering of nonrelativistic spinless particles with an arbitrary (not necessarily local) interaction Hamiltonian. It is shown that the problem of finding the Jost matrix from the $S$-matrix reduces to the solution of a nonsingular integral equation for a single function. An explicit solution for the Jost matrix can be found if the $S$-matrix can be continued analytically.

[1] R. Jost, Helv. Phys. Acta, 20 (1947), 256 | MR

[2] M. Goldberger, K. Vatson, Teoriya stolknovenii, », 1967

[3] V. de Alfaro, T. Redzhe, Potentsialnoe rasseyanie, «Mir», 1966 | Zbl

[4] Yu. M. Shirokov, “Polya i chastitsy”, Trudy mezhdunarodnogo soveschaniya po nelokalnoi kvantovoi teorii polya, Dubna, 1967 | Zbl

[5] V. E. Troitskii, Preprint ITF-68-26, Kiev, 1968 | Zbl

[6] V. E. Troitskii, Yu. M. Shirokov, TMF, 1 (1969), 213

[7] N. P. Vekua, Sistemy singulyarnykh integralnykh uravnenii, Gostekhizdat, 1950

[8] N. I. Muskhelishvili, Singulyarnye integralnye uravneniya, Fizmatgiz, 1962 | MR