Inverse Scattering Problem For The Schrödinger Equation With An Additional Quadratic Potential On The Entire Axis

We consider the Schrödinger equation with an additional quadratic potential on the entire axis and use the transformation operator method to study the direct and inverse problems of the scattering theory. We obtain the main integral equations of the inverse problem and prove that the basic equations...

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Veröffentlicht in:	Theoretical and mathematical physics 2018-04, Vol.195 (1), p.538-547
Hauptverfasser:	Guseinov, I. M., Khanmamedov, A. Kh, Mamedova, A. F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Integral equations Inverse problems Inverse scattering Mathematical analysis Mathematical and Computational Physics Operators (mathematics) Physics Physics and Astronomy Schrodinger equation Theoretical
Online-Zugang:	Volltext
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