# On calculating response functions via their Lorentz integral transforms

## TL;DR

This paper investigates the precise reconstruction of response functions from Lorentz integral transforms using an exactly solvable model, demonstrating improved accuracy over previous methods.

## Contribution

It develops a detailed inversion procedure that achieves higher accuracy in reconstructing response functions from their Lorentz transforms.

## Key findings

- High-accuracy response function reconstruction demonstrated
- Inversion procedure detailed and validated
- Improved over previous literature results

## Abstract

The accuracy of reconstruction of a response function from its Lorentz integral transform is studied in an exactly solvable model. An inversion procedure is elaborated in detail and features of the procedure are studied. Unlike results in the literature pertaining to the same model, the response function is reconstructed from its Lorentz integral transform with rather high accuracy.