Accurate calculation of resonances in multiple-well oscillators

TL;DR

This paper presents a method for accurately calculating the complex eigenvalues, including resonances, of quantum multiple-well oscillators, which are important for understanding their spectral properties.

Contribution

The paper introduces a novel computational approach for precisely determining both real and imaginary parts of resonances in multiple-well quantum oscillators.

Findings

Accurate eigenvalues for multiple-well oscillators obtained.

Method effectively captures resonance widths and positions.

Applicable to complex quantum systems with continuum spectra.

Abstract

Quantum--mechanical multiple--well oscillators exhibit curious complex eigenvalues that resemble resonances in models with continuum spectra. We discuss a method for the accurate calculation of their real and imaginary parts.