On critical stability of three quantum charges interacting through delta potentials

TL;DR

This paper investigates the conditions under which three one-dimensional quantum particles with charge and spinless properties, interacting via delta potentials, form at least one bound state, contributing to understanding quantum stability.

Contribution

It provides new sufficient conditions ensuring the existence of bound states in a three-particle quantum system with delta interactions.

Findings

Derived conditions guaranteeing bound states

Enhanced understanding of quantum stability with delta potentials

Applicable to one-dimensional quantum charge systems

Abstract

We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound state.