The Dispersion property for Schr\"odinger equations

TL;DR

This paper investigates the dispersion properties of Schr"odinger equations, analyzing both discrete models and graph-based systems to understand their behavior in different settings.

Contribution

It introduces new analysis of dispersion properties for Schr"odinger equations on discrete structures and graphs, expanding understanding beyond continuous models.

Findings

Dispersion properties characterized for discrete Schr"odinger models

Results on dispersion behavior on various graph structures

Insights into how graph topology affects Schr"odinger dispersion

Abstract

In this paper we analyze the dispersion property of some models involving Schr\"odinger equations. First we focus on the discrete case and then we present some results on graphs.