New variational perturbation theory based on $q-$deformed oscillator

TL;DR

This paper introduces a novel variational perturbation approach utilizing $q$-deformed oscillators, significantly enhancing the accuracy of ground state energy calculations for anharmonic oscillators compared to traditional Gaussian methods.

Contribution

The paper presents a new variational perturbation theory based on $q$-deformed oscillators, offering substantially improved accuracy over existing Gaussian-based methods.

Findings

Achieves 200 times better accuracy than Gaussian approximation.

Achieves 10 times better accuracy than improved Gaussian approximation.

Demonstrates effectiveness for anharmonic oscillator ground state energy calculations.

Abstract

A new variational perturbation theory is developed based on the $q-$deformed oscillator. It is shown that the new variational perturbation method provides 200 or 10 times better accuracy for the ground state energy of anharmonic oscillator than the Gaussian and the improved Gaussian approximation, respectively.