Discretization of inverse scattering on a half line

Evgeny L. Korotyaev

Mathematische Nachrichten, 2023, vol. 296, issue 11, 5322-5345

Abstract: We solve inverse scattering problem for Schrödinger operators with compactly supported potentials on the half line. We discretize S‐matrix: We take the value of the S‐matrix on some infinite sequence of positive real numbers. Using this sequence obtained from S‐matrix, we recover uniquely the potential by a new explicit formula, without the Gelfand–Levitan–Marchenko equation.

Date: 2023
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https://doi.org/10.1002/mana.202200236

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