Work

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

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2403.06578

Authors: Athmouni, Nassim, Ennaceur, Marwa, Golenia, Sylvain, Jadlaoui, Amel

Institutions: University of Gafsa, University of Ha'il, Institut de Mathématiques de Bordeaux, University of Sfax

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4392636745

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