Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition

DOI10.1515/jiip-2019-0102zbMath1483.34029OpenAlexW3045345888MaRDI QIDQ2232087

Nigar F. Gafarova, Agil K. Khanmamedov

Publication date: 4 October 2021

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2019-0102

zbMATH Keywords

Schrödinger equationinverse spectral problemspectral dataanharmonic oscillatortransformation operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• The spectral class of the quantum-mechanical harmonic oscillator
• The method of transformation operators in the inverse scattering problem. The one-dimensional Stark effect
• An inverse problem for an harmonic oscillator perturbed by potential: uniqueness
• Inverse scattering problem for the Schrödinger equation with an additional quadratic potential on the entire axis
• An inverse problem for Sturm-Liouville operators on the half-line with complex weights
• Transformation operators for perturbed harmonic oscillators
• The inverse problem for perturbed harmonic oscillator on the half-line with a Dirichlet boundary condition
• Inverse scattering problem for the Schrödinger equation on the axis
• Inverse problem for harmonic oscillator perturbed by potential, characterization
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
• STURM-LIOUVILLE OPERATORS ON THE WHOLE LINE, WITH THE SAME DISCRETE SPECTRUM
• The Inverse Problem in the Quantum Theory of Scattering

This page was built for publication: Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition