To the question of the existence and uniqueness of the three one-dimensional quantum particles scattering problem solutions, interacting by finite repulsive pair potentials

TL;DR

This paper proves the existence and uniqueness of solutions for the scattering problem involving three one-dimensional quantum particles with finite repulsive pair interactions.

Contribution

It establishes the first rigorous proof of existence and uniqueness for this specific three-particle scattering problem in quantum mechanics.

Findings

Proves existence of scattering solutions for three particles

Establishes uniqueness of these solutions

Provides mathematical foundation for such quantum scattering problems

Abstract

We announce the existence and uniqueness theorem for the scattering problem of three one-dimensional quantum particles interacting by repulsive finite pair potentials