Geodesic
Inverse scattering problem for the Schroedinger equation on the axis
Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 677-684.

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

Necessary and sufficient conditions on the reflection coefficient are obtained for the Schroedinger equation on the whole axis with a potential growing on one side by utilization of the inverse problem formalism. 
@article{MZM_1968_4_6_a7,
     author = {P. P. Kulish},
     title = {Inverse scattering problem for the {Schroedinger} equation on the axis},
     journal = {Matemati\v{c}eskie zametki},
     pages = {677--684},
     publisher = {mathdoc},
     volume = {4},
     number = {6},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a7/}
}
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P. P. Kulish. Inverse scattering problem for the Schroedinger equation on the axis. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 677-684. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a7/