Abstract
When the potentialq(x) ∈L 11 with a singular term, the continuities of the scattering matrix of the Schrödinger equation are investigated. By means of the transformation approach, we arrive at the conclusion that the scattering matrix S(k) of such a potential is continuous for the wholek,- ∞ <k < ∞.
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Xu, B.Q. The inverse scattering matrix for the Schrödinger equation when the potentialq(x) ∈L 11 with a singular term. Lett Math Phys 27, 81–95 (1993). https://doi.org/10.1007/BF00750676
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DOI: https://doi.org/10.1007/BF00750676