Wave packet decomposition for Schrodinger evolution with rough potential and generic value of parameter

TL;DR

This paper introduces a wave packet decomposition method to analyze Schrödinger evolution with rough potentials, leading to improved bounds on wave propagation for generic parameter values.

Contribution

The paper presents a novel wave packet decomposition technique tailored for rough potentials in Schrödinger equations, enhancing understanding of wave propagation.

Findings

Improved bounds on wave propagation for generic parameters.

Effective wave packet decomposition for rough potentials.

Enhanced analytical tools for Schrödinger evolution.

Abstract

We develop the wave packet decomposition to study the Schrodinger evolution with rough potential. As an application, we obtain the improved bound on the wave propagation for the generic value of a parameter.