Inverse Scattering with Fixed Energy and an Inverse Eigenvalue Problem on the Half-line
نویسنده
چکیده
Recently A. G. Ramm (1999) has shown that a subset of phase shifts δl, l = 0, 1, . . ., determines the potential if the indices of the known shifts satisfy the Müntz condition ∑ l =0,l∈L 1 l = ∞. We prove the necessity of this condition in some classes of potentials. The problem is reduced to an inverse eigenvalue problem for the half-line Schrödinger operators.
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تاریخ انتشار 2006