# Structure formulas for wave operators under a small scaling invariant condition

## TL;DR

This paper derives structure formulas for wave operators associated with Schrödinger operators in three dimensions, under a small scaling-invariant condition on the potential, advancing understanding of their mathematical properties.

## Contribution

It introduces new structure formulas for wave operators under a scaling-invariant potential condition, extending previous results with a smallness assumption.

## Key findings

- Derived structure formulas for wave operators
- Established results under scaling-invariant conditions
- Extended previous work with new assumptions

## Abstract

We obtain structure formulas for the intertwining wave operators of a Schroedinger operator with potential V in R^3. The difference from our previous submission arXiv:1612.07304 lies with the fact that here we impose a scaling invariant condition on the potential, albeit with a smallness requirement.