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Inverse Scattering at a Fixed Quasi-Energy for Potentials Periodic in Time | | Ricardo Weder
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18 Sep 2003 | | Journal: | Inverse Problems vol. 20 (2004) 893-917 | | Subject: | Mathematical Physics; Analysis of PDEs MSC-class: 35P25, 35Q40, 81U4 | math-ph math.AP math.MP | | Abstract: | 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 $L^{3/2}$ 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 only known for bounded exponentially decreasing potentials. | | Source: | arXiv, math-ph/0309043 | | Services: | Forum | Review | PDF | Favorites | |
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