# Construction of modified wave operators via wave packet transform

## TL;DR

This paper develops a method to construct modified wave operators for Schrödinger equations with long-range potentials using wave packet transform, proving their existence.

## Contribution

It introduces a novel approach employing wave packet transform to establish the existence of modified wave operators for specific Schrödinger equations.

## Key findings

- Successful construction of modified wave operators.
- Proof of their existence for long-range potentials.
- Advancement in mathematical understanding of Schrödinger dynamics.

## Abstract

In this paper, we construct a modified wave operators for Schrodinger equations with time-dependent long-range potentials by using wave packet transform and give a proof of the existence of the modified wave operators.