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

We prove the absence of positive real resonances for Schrödinger 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 Schrodinger propagator.

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Bibliographic Details
Published inMathematics in engineering Vol. 3; no. 2; pp. 1 - 14
Main Authors Michelangeli, Alessandro, Scandone, Raffaele
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
definite positive functions
limiting absorption principle
point interactions
positive resonances
singular perturbations of the laplacian
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ISSN2640-3501
2640-3501
DOI10.3934/mine.2021017

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Summary:We prove the absence of positive real resonances for Schrödinger 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 Schrodinger propagator.
ISSN:2640-3501
2640-3501
DOI:10.3934/mine.2021017