The $S$-Matrix Structure and the Inverse Scattering Transform in the $J$-Matrix Approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 1, pp. 29-43
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Using the analytic properties of the $S$-matrix, we obtain a system of inverse scattering transform equations for nonlocal potentials with Laguerre form factors. Coulomb repulsion can be present in the system.
Keywords:
separable potentials, inverse scattering transform, $J$-matrix method.
@article{TMF_2004_140_1_a2,
author = {S. A. Zaytsev},
title = {The $S${-Matrix} {Structure} and the {Inverse} {Scattering} {Transform} in the $J${-Matrix} {Approach}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {29--43},
publisher = {mathdoc},
volume = {140},
number = {1},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a2/}
}
TY - JOUR AU - S. A. Zaytsev TI - The $S$-Matrix Structure and the Inverse Scattering Transform in the $J$-Matrix Approach JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2004 SP - 29 EP - 43 VL - 140 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a2/ LA - ru ID - TMF_2004_140_1_a2 ER -
S. A. Zaytsev. The $S$-Matrix Structure and the Inverse Scattering Transform in the $J$-Matrix Approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 1, pp. 29-43. http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a2/