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

We study the discrete Laplacian acting on a triangular lattice. We perturb the metric and the potential in a long-range way. We aim at proving a Limiting Absorption Principle away the possible embedded eigenvalues. The approach is based on a positive commutator technique.

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Veröffentlicht in:arXiv.org 2024-03
Hauptverfasser: Athmouni, Nassim, Ennaceur, Marwa, Golenia, Sylvain, Jadlaoui, Amel
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Golenia, Sylvain
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description We study the discrete Laplacian acting on a triangular lattice. We perturb the metric and the potential in a long-range way. We aim at proving a Limiting Absorption Principle away the possible embedded eigenvalues. The approach is based on a positive commutator technique.
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subjects Absorption
Commutators
Constraining
Eigenvalues
Principles
title Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting
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