Non-uniqueness in the one-dimensional inverse scattering problem

DOI10.1088/0266-5611/1/4/003zbMath0602.47036OpenAlexW2042489356MaRDI QIDQ3738115

Tuncay Aktosun, Roger G. Newton

Publication date: 1985

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/1/4/003

zbMATH Keywords

inverse problemsscattering theoryS-Matrix

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40) Ordinary differential operators (34L99)

Related Items (5)

Scattering in one dimension: The coupled Schrödinger equation, threshold behaviour and Levinson’s theorem ⋮ Energy spectrum design and potential function engineering ⋮ Zero-range potentials with internal structures and the inverse scattering problem ⋮ Explicit Wiener-Hopf factorization for certain non-rational matrix functions ⋮ On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation

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