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.
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