Level rearrangement in exotic atoms and quantum dots

TL;DR

This paper discusses the phenomenon of level rearrangement caused by adding a short-range attractive potential to a long-range potential, with applications in exotic atoms, condensate physics, and quantum dots.

Contribution

It generalizes the concept of level rearrangement and explores its occurrence across different physical systems including exotic atoms and quantum dots.

Findings

Level rearrangement occurs when short-range attraction increases in systems with long-range potentials.

The phenomenon is observed in both exotic atom physics and condensate matter.

A similar effect is modeled in quantum dot systems with harmonic confinement.

Abstract

A presentation and a generalisation are given of the phenomenon of level rearrangement, which occurs when an attractive long-range potential is supplemented by a short-range attractive potential of increasing strength. This problem has been discovered in condensate-matter physics and has also been studied in the physics of exotic atoms. A similar phenomenon occurs in a situation inspired by quantum dots, where a short-range interaction is added to an harmonic confinement.