# Structure of resonances in a square well potential

## TL;DR

This paper investigates the structure of quantum resonances in a one-dimensional square well potential using exact solutions, focusing on resonance form factors and their relation to resonance wave functions.

## Contribution

It introduces the concept of resonance form factors and explores their connection to spatial densities and resonance wave functions in an exactly solvable model.

## Key findings

- Resonance form factors provide insight into the spatial structure of resonances.
- The relation between resonance form factors and wave functions is clarified.
- Exact solutions enable precise analysis of resonance properties.

## Abstract

We study the structure of resonances as derived from the exactly solvable Lippmann-Schwinger equation for a one-dimensional square well potential. Within this framework, we discuss the concept of resonance form factors, and the relation of the corresponding spatial densities to ``resonance wave functions''.