Alternative solution to a quantum-mechanical four-particle system in one dimension

TL;DR

This paper introduces a simplified method for solving a one-dimensional four-particle quantum system with multi-particle interactions, improving upon previous approaches by reducing computational complexity.

Contribution

It presents an alternative, more straightforward solution to the eigenvalue problem for a four-particle quantum system with multi-particle interactions in one dimension.

Findings

The new method simplifies the eigenvalue equation solution process.

It effectively handles two- and three-particle interactions.

The approach reduces computational complexity compared to previous methods.

Abstract

We propose an alternative solution to a quantum-mechanical four-particle system in one dimension with two- and three-particle interactions. The solution of the eigenvalue equation in center-of-mass and Jacobi coordinates is considerably simpler than a procedure proposed recently based on spherical coordinates.