Convergent sequences of perturbative approximations for the anharmonic oscillator II. Compact time approach

TL;DR

This paper introduces a novel method using compact time to improve perturbative approximations for the anharmonic oscillator, maintaining symmetries and enhancing accuracy.

Contribution

It proposes a new approach employing time compactification to preserve symmetries in perturbative calculations for quantum oscillators.

Findings

Enhanced symmetry preservation in perturbative approximations

Improved convergence of perturbation series

Potential applicability to other quantum systems

Abstract

We present an alternative pathway in the application of the variation improvement of ordinary perturbation theory exposed in [1] which can preserve the internal symmetries of a model by means of a time compactification.