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.
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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/