On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity

Physics – Mathematical Physics

Scientific paper

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This is a slightly edited version of the previous paper

Scientific paper

10.1088/0266-5611/21/6/009

We study the inverse scattering problem for electric potentials and magnetic
fields in $\ere^d, d\geq 3$, that are asymptotic sums of homogeneous terms at
infinity. The main result is that all these terms can be uniquely reconstructed
from the singularities in the forward direction of the scattering amplitude at
some positive energy.

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