Local perturbations of potential well arrays

Pavel Exner; David Spitzkopf

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arXiv · 2504.04080

Local perturbations of potential well arrays

Pavel Exner·David Spitzkopf

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Abstract

We consider an equidistant array of disjoint potential wells in $\mathbb{R}^\nu,\: \nu\ge 2$, built over a straight line, and show that, under a restriction on the potential support aspect ratio, a perturbation consisting of longitudinal shifts of a finite number of them preserving the disjointness gives rise to a nonempty discrete spectrum below the threshold of the lowest spectral band.

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Pavel Exner, David Spitzkopf. 2025-04-05. Local perturbations of potential well arrays. https://arxiv.org/abs/2504.04080

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