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Inverse Scattering for a Schrödinger Operator with a Repulsive Potential

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Abstract

We consider a pair of Hamiltonians (H,H 0) on L 2(ℝn), where H 0 = p 2−x 2 is a Schrödinger operator with a repulsive potential, and H = H 0+V (x). We show that, under suitable assumptions on the decay of the electric potential, V is uniquely determined by the high energy limit of the scattering operator.

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  1. Laboratoire de Mathéatiques Jean Leray, UMR CNRS-UN 6629, Département de Mathématiques, 2, rue de la Houssinière BP 92208, F-44322, Nantes cedex 03, France

    François Nicoleau

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  1. François Nicoleau
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Correspondence to François Nicoleau.

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Nicoleau, F. Inverse Scattering for a Schrödinger Operator with a Repulsive Potential. Acta Math Sinica 22, 1485–1492 (2006). https://doi.org/10.1007/s10114-005-0767-2

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  • DOI: https://doi.org/10.1007/s10114-005-0767-2

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