# On inefficiency of repulsive $\delta$-potentials in multidimensional spaces

## TL;DR

This paper demonstrates that delta-like repulsive potentials are ineffective for modeling correlations in multi-particle quantum systems in spaces of two or more dimensions.

## Contribution

It provides a comprehensive analysis showing the inefficiency of delta-like potentials in higher-dimensional quantum systems, highlighting limitations in their use for correlation modeling.

## Key findings

- Delta-like potentials are ineffective for N-particle correlations in D≥2 dimensions.
- Correlations cannot be accurately captured by delta potentials in higher-dimensional quantum systems.
- The study clarifies the limitations of delta potentials in multidimensional quantum physics.

## Abstract

A complete account of correlations has been shown to make $\delta$-like repulsive interaction potentials inefficient for any $N$-particle quantum system in the $D$-dimensional space with $D\geq2$.