# To the Issue of Justification of the Absolutely Continuous Spectrum Eigenfunctions Asymptotics in the Problem of Three One-Dimensional Short-Range Quantum Particles with Repulsion

## TL;DR

This paper justifies the asymptotic behavior of eigenfunctions associated with the absolutely continuous spectrum in a three-particle one-dimensional quantum system with short-range repulsive interactions.

## Contribution

It provides a rigorous justification for the asymptotics of eigenfunctions in a three-particle quantum problem with short-range repulsion.

## Key findings

- Eigenfunction asymptotics are rigorously justified.
- Results apply to three one-dimensional particles with short-range interactions.
- Enhances understanding of spectral properties in quantum few-body systems.

## Abstract

The justification of the absolutely continuous spectrum eigenfunctions asymptotics in the problem of three one-Dimensional short-range quantum particles with repulsion has been done.