Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides
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🧮 math-ph
math.FAmath.MPmath.SP
keywords
thresholdscontinuityembeddedexpansionsmatrixquantumresolventscattering
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We present an inversion formula which can be used to obtain resolvent expansions near embedded thresholds. As an application, we prove for a class of quantum waveguides the absence of accumulation of eigenvalues and the continuity of the scattering matrix at all thresholds.
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