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Inverse scattering for a Schrödinger operator with a repulsive potential - MaRDI portal

Inverse scattering for a Schrödinger operator with a repulsive potential (Q2505399)

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Inverse scattering for a Schrödinger operator with a repulsive potential
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    Inverse scattering for a Schrödinger operator with a repulsive potential (English)
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    4 October 2006
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    The author considers the inverse scattering problem for the Schrödinger operator \(-\Delta-x\cdot x+V(x),\) where \(x\in\mathbb {R}^n\) and \(V\) is a repulsive potential decaying at infinity and satisfying certain other restrictions. It is shown that \(V\) is uniquely determined by the high energy limit of the scattering operator.
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    inverse scattering
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    Schrödinger operator
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    repulsive potential
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