An inverse problem for an harmonic oscillator perturbed by potential: uniqueness

DOI10.1023/A:1024985302559zbMath1030.34085OpenAlexW204859950MaRDI QIDQ1402292

P. P. Kargaev, Dmitry Chelkak, Evgeny L. Korotyaev

Publication date: 20 August 2003

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024985302559

zbMATH Keywords

inverse problemspectrumharmonic oscillatornorming constants

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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Inverse problems involving ordinary differential equations (34A55)

Related Items (10)

Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line ⋮ Eigensystem of an \(L ^{2}\)-perturbed harmonic oscillator is an unconditional basis ⋮ Exact solution of Schrödinger equation for Pseudoharmonic potential ⋮ Asymptotics of spectral data of a harmonic oscillator perturbed by a potential ⋮ Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition ⋮ Unnamed Item ⋮ Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra ⋮ Transformation operators for perturbed harmonic oscillators ⋮ Inverse problem for harmonic oscillator perturbed by potential, characterization ⋮ The Dirichlet problem for perturbed Stark operators in the half-line

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