LIMITING ABSORPTION PRINCIPLE FOR LONG-RANGE PERTURBATION IN THE DISCRETE TRIANGULAR LATTICE SETTING
Langue
en
Document de travail - Pré-publication
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Commutator
Mourre estimate
Limiting Absorption Principle
Discrete Laplacian
Triangular lattice
Origine
Importé de halUnités de recherche