Variational Perturbation Approach to Resonance-State Wave Functions

TL;DR

This paper applies variational perturbation theory to resonance states of the anharmonic oscillator, achieving accurate wave functions from bound state approximations, extending the method's applicability.

Contribution

It introduces a variational perturbation approach for resonance states, expanding the technique beyond bound states of the anharmonic oscillator.

Findings

Successfully obtained accurate resonance wave functions

Extended variational perturbation theory to resonance states

Demonstrated method's effectiveness for negative coupling constants

Abstract

The variational perturbation theory for wave functions, which has been shown to work well for bound states of the anharmonic oscillator, is applied to resonance states of the anharmonic oscillator with negative coupling constant. We obtain uniformly accurate wave functions starting from the bound states.