Agmon estimates for Schr\"odinger operators on graphs
Matthias Keller, Felix Pogorzelski
TL;DR
This paper establishes decay estimates for eigenfunctions of discrete Schr"odinger operators on infinite graphs, extending Agmon's methods to a graph setting.
Contribution
It introduces Agmon-type decay estimates for Schr"odinger operators on weighted graphs, a novel extension of classical results to discrete graph structures.
Findings
Eigenfunctions exhibit exponential decay under certain conditions.
Decay estimates are analogous to continuous Agmon estimates.
Results apply to a broad class of weighted infinite graphs.
Abstract
We prove decay estimates for generalized eigenfunctions of discrete Schr\"odinger operators on weighted infinite graphs in the spirit of Agmon.
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