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arXiv · 1608.08119

A resurgence analysis for cubic and quartic anharmonic potentials

Ilmar Gahramanov·Kemal Tezgin
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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.

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Ilmar Gahramanov, Kemal Tezgin. 2016-08-29. A resurgence analysis for cubic and quartic anharmonic potentials. https://doi.org/10.1142/s0217751x17500336

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