Geodesic
Inverse scattering problem for the Schrödinger equation with
Teoretičeskaâ i matematičeskaâ fizika, Tome 216 (2023) no. 1, pp. 117-132 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the Schrödinger equation with a potential that increases without bound at $+\infty$ and vanishes at $-\infty$. We explore the direct and inverse scattering problems using the transformation operator method. The basic integral equations of the inverse problem are obtained. The basic equations are shown to be uniquely solvable.
Keywords: Schrödinger equation, harmonic oscillator, scattering data, inverse scattering problem, basic integral equations. 
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A. Kh. Khanmamedov; D. G. Orudzhev. Inverse scattering problem for the Schrödinger equation with. Teoretičeskaâ i matematičeskaâ fizika, Tome 216 (2023) no. 1, pp. 117-132. http://geodesic.mathdoc.fr/item/TMF_2023_216_1_a7/

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