Resonances for symmetric two-barrier potentials

TL;DR

This paper presents a method for accurately calculating bound-state and resonance energies in one-dimensional symmetric two-barrier potentials, comparing different computational approaches and analyzing resonance profiles.

Contribution

It introduces a precise calculation technique for resonances and compares it with existing methods like Siegert approximation, complex scaling, and box-stabilization.

Findings

Resonance calculations agree better for sharper resonances.

The method accurately reproduces shape resonances in symmetric two-barrier potentials.

Comparison shows the effectiveness of the new approach against established methods.

Abstract

We describe a method for the accurate calculation of bound-state and resonance energies for one-dimensional potentials. We calculate the shape resonances for symmetric two-barrier potentials and compare them with those coming from the Siegert approximation, the complex scaling method and the box-stabilization method. A comparison of the Breit-Wigner profile and the transmission coefficient about its maximum illustrates that the agreement is better the sharper the resonance.