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

Weder, Ricardo

Yafaev, Dimitri

English

arXiv

International audienceIn this paper we consider the inverse scattering problem at a fixed energy for the Schrödinger equation with a long-range potential in Rd, d≥ 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

Yafaev, Dimitri, R

HAL-Rennes 1

Inverse scattering at a fixed energy for long-range potentials

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.340.2513

Inverse Scattering at a Fixed Energy for Long-Range Potentials

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