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Bibliographic Details
Main Authors: Behrndt, Jussi, Gesztesy, Fritz, de Snoo, Henk
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.18911
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Table of Contents:
  • We prove an abstract criterion on spectral instability of nonnegative selfadjoint extensions of a symmetric operator and apply this to self-adjoint Neumann Laplacians on bounded Lipschitz domains, intervals, and graphs. Our results can be viewed as variants of the classical weak coupling phenomenon for Schrödinger operators in $L^2(\mathbb R^n)$ for $n=1,2$.