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Inverse scattering up to smooth functions for the Schrödinger equation in one dimension

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Publication:1354743
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zbMath0874.34068MaRDI QIDQ1354743

Roman G. Novikov

Publication date: 13 November 1997

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)


zbMATH Keywords

Schrödinger equationscattering matrixreflection coefficientinverse scattering


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse scattering problems in quantum theory (81U40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)


Related Items (4)

Inverse scattering without phase information ⋮ Small angle scattering and \(X\)-ray transform in classical mechanics ⋮ Multidimensional inverse scattering for the Schrödinger equation ⋮ One smoothing property of the scattering map of the KdV on \(\mathbb{R}\)






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