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arXiv · 1907.03243

Schroedinger wave operators on the discrete half-line

Hideki Inoue·Naohiro Tsuzu
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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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Hideki Inoue, Naohiro Tsuzu. 2019-07-07. Schroedinger wave operators on the discrete half-line. https://arxiv.org/abs/1907.03243

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