Geodesic
Tridiagonal parametrization of interaction in the discrete approach to the scattering problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 2, pp. 263-274

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We propose a method for constructing separable potentials with oscillatory formfactors given the scattering phase and the discrete spectrum of a quantum system. We show that the rank of the potential is minimum for an optimal value of the variational parameter $\hbar\omega$. 
@article{TMF_1998_115_2_a7,
     author = {S. A. Zaytsev},
     title = {Tridiagonal parametrization of interaction in the discrete approach to the scattering problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {263--274},
     publisher = {mathdoc},
     volume = {115},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_2_a7/}
}
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S. A. Zaytsev. Tridiagonal parametrization of interaction in the discrete approach to the scattering problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 2, pp. 263-274. http://geodesic.mathdoc.fr/item/TMF_1998_115_2_a7/