Recovery of a potential from the ratio of reflection and transmission coefficients
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Publication:4833154
DOI10.1063/1.1614871zbMath1062.81147OpenAlexW2006592883MaRDI QIDQ4833154
Tuncay Aktosun, Vassilis G. Papanicolaou
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://purl.umn.edu/3943
Inverse scattering problems in quantum theory (81U40) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Cites Work
- On the determination of potentials without bound state data
- On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation
- Operator methods for inverse scattering on the real line
- An inverse scattering transform for potentials of compact support
- Inverse scattering on the line
- Reconstruction of a Potential on the Line That is a Priori Known on the Half Line
- Bound states and inverse scattering for the Schrödinger equation in one dimension
- Inverse Schrödinger Cattering on the Line with Partial Knowledge of the Potential
- Properties of the 𝑆-matrix of the one-dimensional Schrödinger equation
