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Journal Article

A resurgence analysis for cubic and quartic anharmonic potentials

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Gahramanov,  Ilmar
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1608.08119.pdf
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Citation

Gahramanov, I., & Tezgin, K. (2017). A resurgence analysis for cubic and quartic anharmonic potentials. International Journal of Modern Physics A, 32(5): 1750033. doi:10.1142/S0217751X17500336.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-5FC9-7
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.