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

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
Format: Artikel
Sprache:eng
Schlagworte:
Absorption
Commutators
Constraining
Eigenvalues
Principles
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Zusammenfassung: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.
ISSN:2331-8422