Abstract:
Assume that q(r) is a real-valued, compactly supported potential, q(r)=0 for , . Let be an arbitrary fixed subset of non-negative integers such that , and be fixed-energy phase shifts corresponding to q(r). The main result is:
Theorem. The data determine q(r) uniquely.
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Received: 3 March 1999 / Accepted: 27 April 1999
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Ramm, A. An Inverse Scattering Problem with Part of the Fixed-Energy Phase Shifts. Comm Math Phys 207, 231–247 (1999). https://doi.org/10.1007/s002200050725
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DOI: https://doi.org/10.1007/s002200050725