Geodesic
Inverse spectral problem for the Schrödinger equation with an additional linear potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 66-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the one-dimensional Schrödinger equation with an additional linear potential on the whole axis and construct a transformation operator with a condition at $-\infty$. We obtain the fundamental integral Gelfand–Levitan equation on the half-axis $(-\infty,x)$ and prove the unique solvability of this fundamental equation.
Keywords: Schrödinger equation, additional linear potential, Airy function, transformation operator, Gelfand–Levitan equation, inverse scattering problem. 
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A. Kh. Khanmamedov; M. G. Makhmudova. Inverse spectral problem for the Schrödinger equation with an additional linear potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 1, pp. 66-80. http://geodesic.mathdoc.fr/item/TMF_2020_202_1_a5/

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