An inversion formula in energy dependent scattering (Q2476485)
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| Language | Label | Description | Also known as |
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| English | An inversion formula in energy dependent scattering |
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An inversion formula in energy dependent scattering (English)
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20 March 2008
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The inverse scattering problem is studied for the differential equation \[ y''+(k^2+2kQ(x)-U(x))y=0 \] on the half-line and on the line. Inversion formulae are obtained by the transformation operator method under an assumption on the absence of bound states.
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pencils of differential operators
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inverse scattering problem
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absence of bound states
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