Creation and annihilation of point-potentials using Moutard-type transform in spectral variable - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Physics Année : 2020

Creation and annihilation of point-potentials using Moutard-type transform in spectral variable

Résumé

We continue to develop the method for creation and annihilation of contour singularities in the d-bar-spectral data for the two-dimensional Schrödinger equation at fixed energy. Our method is based on the Moutard-type transforms for generalized analytic functions. In this note we show that this approach successfully works for point potentials .
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Dates et versions

hal-02422355 , version 1 (21-12-2019)

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Piotr Grinevich, Roman Novikov. Creation and annihilation of point-potentials using Moutard-type transform in spectral variable. Journal of Mathematical Physics, 2020, 61 (9), 093501(9 pp.). ⟨10.1063/1.5143303⟩. ⟨hal-02422355⟩
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