Inverse spectral results for Schrödinger operators on the unit interval with partial information given on the potentials

DOI10.1063/1.3087426zbMath1202.34031OpenAlexW1995060845MaRDI QIDQ3650477

T. Raoux, Jérémy Faupin, Laurent Amour

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1063/1.3087426

zbMATH Keywords

Schrödinger equationeigenvalues and eigenfunctionsmathematical operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) (n)-body potential quantum scattering theory (81U10) Inverse scattering problems in quantum theory (81U40) Inverse problems involving ordinary differential equations (34A55)

Related Items (11)

Inverse spectral problem with partial information given on the potential and norming constants ⋮ Uniqueness results for inverse Sturm-Liouville problems with partial information given on the potential and spectral data ⋮ The partial inverse spectral problems for a differential operator ⋮ Asymptotic behavior for differences of eigenvalues of two Sturm-Liouville problems with smooth potentials ⋮ On meromorphic inner functions in the upper half-plane ⋮ Inverse problems for Sturm-Liouville equations with boundary conditions linearly dependent on the spectral parameter from partial information ⋮ Inverse eigenvalue problems ⋮ On the uniqueness of inverse spectral problems associated with incomplete spectral data ⋮ Mixed data in inverse spectral problems for the Schrödinger operators ⋮ Essentially isospectral transformations and their applications ⋮ Inverse spectral problems for Sturm-Liouville operators with partial information

Cites Work

• An Inverse Sturm–Liouville Problem with Mixed Given Data
• Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
• Inverse spectral results for Schrödinger operators on the unit interval with potentials in L ^p spaces

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