Ricardo Weder 2004 Inverse Problems 20 893 doi:10.1088/0266-5611/20/3/015
Ricardo Weder
Show affiliationsWe 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 L3/2 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.
81U40 Inverse scattering problems
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
Issue 3 (June 2004)
Received 27 January 2004, in final form 16 March 2004
Published 2 April 2004
Ricardo Weder 2004 Inverse Problems 20 893
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