, Volume 207, Issue 1, pp 231-247

An Inverse Scattering Problem with Part of the Fixed-Energy Phase Shifts

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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.

Received: 3 March 1999 / Accepted: 27 April 1999