A resurgence analysis for cubic and quartic anharmonic potentials
High Energy Physics - Theory
2017-04-18 v2 Quantum Physics
Abstract
In this work we explicitly show resurgence relations between perturbative and one instanton sectors of the resonance energy levels for cubic and quartic anharmonic potentials in one-dimensional quantum mechanics. Both systems satisfy the Dunne-Unsal relation and hence we are able to derive one-instanton non-perturbative contributions with the fluctuation terms to the energy merely from the perturbative data. We confirm our results with previous results obtained by Zinn-Justin et al.
Cite
@article{arxiv.1608.08119,
title = {A resurgence analysis for cubic and quartic anharmonic potentials},
author = {Ilmar Gahramanov and Kemal Tezgin},
journal= {arXiv preprint arXiv:1608.08119},
year = {2017}
}
Comments
9 pages