Inverse Scattering at a Fixed Quasi – Energy for Potentials Periodic in Time ∗
نویسنده
چکیده
We prove that the scattering matrix at a fixed quasi–energy determines uniquely a time–periodic potential that belongs to L and that decays exponentially at infinity. Our result is new even in the time–independent case, where it was only proven for bounded exponentially decreasing potentials.
منابع مشابه
A pr 2 00 4 Inverse Scattering at a Fixed Quasi – Energy for Potentials Periodic in Time ∗ Ricardo Weder
We prove that the scattering matrix at a fixed quasi–energy determines uniquely a time–periodic potential that decays exponentially at infinity. We consider potentials that for each fixed time belong to L in space. The exponent 3/2 is critical for the singularities of the potential in space. For this singular class of potentials the result is new even in the time–independent case, where it was ...
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