Geodesic
Inverse scattering problem in a class of nonlocal potentials. II. Coupled partial channels
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 3-12 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The formulation of the inverse scattering problem in a class of nonlocal phaseequivalent potentials suggested in [1] (for the scalar case of non-coupled partial channels) is extended to the matrix case of coupled partial channels. A minimal generalization of the potential concept is developed for the case of a general problem of quantummechanical description of interacting structural particles. 
@article{TMF_1987_71_1_a0,
     author = {V. M. Muzafarov},
     title = {Inverse scattering problem in a~class of nonlocal potentials. {II.~Coupled} partial channels},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--12},
     year = {1987},
     volume = {71},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a0/}
}
TY  - JOUR
AU  - V. M. Muzafarov
TI  - Inverse scattering problem in a class of nonlocal potentials. II. Coupled partial channels
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 3
EP  - 12
VL  - 71
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a0/
LA  - ru
ID  - TMF_1987_71_1_a0
ER  - 
%0 Journal Article
%A V. M. Muzafarov
%T Inverse scattering problem in a class of nonlocal potentials. II. Coupled partial channels
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 3-12
%V 71
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a0/
%G ru
%F TMF_1987_71_1_a0
V. M. Muzafarov. Inverse scattering problem in a class of nonlocal potentials. II. Coupled partial channels. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a0/

[1] Muzafarov V. M., TMF, 70:1 (1987), 30–51 | MR

[2] Gakhov F. D., Kraevye zadachi, Nauka, M., 1972 | MR

[3] Takhtadzhyan L. A., Faddeev L. D., Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986 | MR | Zbl

[4] Newton R. G., J. Math. Phys., 23:12 (1982), 2257–2265 | DOI | MR | Zbl

[5] Zakharov V. E., Manakov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov: Metod obratnoi zadachi, Nauka, M., 1980 | MR

[6] Muzafarov V. M., TMF, 58:2 (1984), 184–191 | MR

[7] Nyuton R., Teoriya rasseyaniya voln i chastits, Mir, M., 1969 | MR

[8] Muzafarov V. M., TMF, 64:2 (1985), 208–225 | MR

[9] Newton R. G., “The Marchenko and Gel'fand - Levitan methods in the inverse scattering problem in one and three dimensions”, Proc. of Conf. on Inverse Scattering: Theory and Application, SIAM, Philadelphia, 1984 | MR | Zbl