The system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity (II)

TL;DR

This paper proposes an asymptotic formula for the eigenfunctions of a system of three identical charged quantum particles, addressing a gap in understanding their behavior at infinity in configuration space.

Contribution

It introduces a new asymptotic formula for the eigenfunctions of three charged quantum particles, advancing theoretical understanding of their behavior at infinity.

Findings

Proposes an asymptotic formula for eigenfunctions at infinity.

Addresses a gap in mathematical understanding of multi-charged particle systems.

Provides a foundation for further rigorous mathematical analysis.

Abstract

To our knowledge there are no complete results expressed in terms of eigenfunctions (even not strictly proved mathematically) related to the system of three or more charged quantum particles. For the system of the three such identical particles we suggest the asymptotic formula describing the behavior of eigenfunctions at infinity in configuration space.