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Schroedinger wave operators on the discrete half-line (1907.03243v1)
Published 7 Jul 2019 in math.FA
Abstract: An explicit formula for the wave operators associated with Schroedinger operators on the discrete half-line is deduced from their stationary expressions. The formula enables us to understand the wave operators as one dimensional pseudo-differential operators of order zero. As an application, we give a topological interpretation for Levinson's theorem, which relates the scattering phase shift and the number of bound states of the system.
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