Inverse scattering problem for the Schrödinger equation with an additional quadratic potential on the entire axis

DOI10.1134/S0040577918040050zbMath1401.81047OpenAlexW2800911114MaRDI QIDQ1794527

A. F. Mamedova, Hidayat M. Huseynov, Agil K. Khanmamedov

Publication date: 15 October 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918040050

zbMATH Keywords

oscillatorSchrödinger equationreflection coefficientinverse scattering problembasic equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Inverse spectral problem for the Schrödinger equation with an additional linear potential ⋮ Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line ⋮ On the transformation operator for the Schrödinger equation with an additional linear potential ⋮ SCATTERING PROBLEM OF THE PERTURBED AIRY EQUATION ON A HALF-AXIS ⋮ Inverse spectral problem for the one-dimensional Stark operator on the semiaxis ⋮ Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition ⋮ A note on the Schrodinger operator with exponential potential

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