Mathematical Physics
[Submitted on 8 Jul 2025
]
Title: Spectral analysis of The magnetic Laplacian acting on discrete funnels
Title: 磁 Laplacian 在离散漏斗上的谱分析
Abstract: We study perturbations of the discrete magnetic Laplacian associated to discrete analogs of funnels. We perturb the metric in a long-range way. We establish a propagation estimate and a Limiting Absorption Principle away from possible embedded eigenvalues. The approach is based on a positive commutator technique.
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