On real resonances for three-dimensional Schrödinger operators with point interactions

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SISSA-preprint-40-2018-MATE.pdf (321.15 KB)
Date
2019-02-20
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SISSA
Abstract
We prove the absence of positive real resonances for Schroedinger operators with finitely many point interactions in R3 and we discuss such a property from the perspective of dispersive and scattering features of the associated Schr¨odinger propagator.
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Point interactions, Singular perturbations of the Laplacian, Positive resonances, Limiting Absorption Principle, Definite positive functions
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https://openscience.sissa.it/handle/1963/35343
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