Resonances for a Hydrogenic System or a Harmonic Oscillator Strongly Coupled to a Field

TL;DR

This paper investigates the formation and properties of resonances in a strongly coupled hydrogenic or harmonic oscillator system interacting with a massless boson, revealing how particle displacement relates to energy shifts and stability of states.

Contribution

It introduces a model considering only two energy levels to analyze resonance formation and stability in strongly coupled quantum systems with Coulomb or quadratic potentials.

Findings

Resonances are formed with energy lowering as the particle moves away from the center.

Stable states can emerge even under strong coupling conditions.

The width of the hybrid states varies, indicating different stability regimes.

Abstract

We calculate resonances which are formed by a particle in a potential which is either Coulombian or quadratic when the particle is strongly coupled to a massless boson, taking only two energy levels into consideration. From these calculations we derive how the moving away of the particle from its attraction center goes together with the energy lowering of hybrid states that this particle forms with the field. We study the width of these states and we show that stable states may also appear in the coupling.