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Scattering operator and wave operators for 2D Schrödinger operators with threshold obstructions (2009.13965v2)
Published 29 Sep 2020 in math-ph, math.FA, math.MP, and math.SP
Abstract: We determine the low-energy behaviour of the scattering operator of two-dimensional Schr\"odinger operators with any type of obstructions at 0-energy. We also derive explicit formulas for the wave operators in the absence of p-resonances, and outline in this case a topological version of Levinson's theorem.
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