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arXiv · 2403.06578

Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting

Nassim Athmouni·Marwa Ennaceur·Sylvain Golenia·Amel Jadlaoui
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Abstract

We examine the discrete Laplacian acting on a triangular lattice, introducing long-range perturbations to both the metric and the potential. Our goal is to establish a Limiting Absorption Principle away from possible embedded eigenvalues. Our study relies on a positive commutator technique.

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Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia, Amel Jadlaoui. 2024-03-11. Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting. https://arxiv.org/abs/2403.06578

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