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Inverse Scattering at a Fixed Energy for Long-Range Potentials
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Inverse Scattering at a Fixed Energy for Long-Range Potentials
classification
math-ph
math.APmath.MP
keywords
energylong-rangescatteringfixedinverseamplitudeconsiderequation
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In this paper we consider the inverse scattering problem at a fixed energy for the Schr\"odinger equation with a long-range potential in $\ere^d, d\geq 3$. We prove that the long-range part can be uniquely reconstructed from the leading forward singularity of the scattering amplitude at some positive energy.
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