On the inverse spectral problem for the one-dimensional Stark operator on the semiaxis

MaRDI QIDQ6496225

Agil K. Khanmamedov, Yasemen I. Huseynova

Publication date: 3 May 2024

Published in: Azerbaijan Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet boundary conditioninverse spectral problemAiry functionStark operatormain integral equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55)

Cites Work

• Inverse scattering problem for one-dimensional Schrödinger operators related to the general Stark effect
• The method of transformation operators in the inverse scattering problem. The one-dimensional Stark effect
• Asymptotics of resonances for 1D Stark operators
• On spectral properties of the one-dimensional Stark operator on the semiaxis
• Inverse spectral problem for the Schrödinger equation with an additional linear potential
• On the inverse scattering problem for the one-dimensional Schrödinger equation with increasing potential
• Spectral properties of the complex Airy operator on the half-line
• A Riemann–Hilbert approach to the inverse problem for the Stark operator on the line
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