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arXiv · 2601.18325

Discrete spectrum from local perturbations of leaky curves

Pavel Exner
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Abstract

We discuss spectrum of a class of singular Schrödinger operator models known as leaky curves and show that if the interaction support has a periodic shape, its local perturbations can give rise to a discrete spectrum below the continuum threshold even if they are of `zero mean'.

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Pavel Exner. 2026-01-26. Discrete spectrum from local perturbations of leaky curves. https://arxiv.org/abs/2601.18325

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