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  A resurgence analysis for cubic and quartic anharmonic potentials

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-5FC9-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-2373-B
Genre: Journal Article

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1608.08119.pdf (Preprint), 147KB
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 Creators:
Gahramanov, Ilmar1, Author              
Tezgin, Kemal, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th,Quantum Physics, quant-ph
 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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 Dates: 2016-08-292017
 Publication Status: Published in print
 Pages: 9 pages
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 Rev. Method: -
 Identifiers: arXiv: 1608.08119
URI: http://arxiv.org/abs/1608.08119
DOI: 10.1142/S0217751X17500336
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Title: International Journal of Modern Physics A
Source Genre: Journal
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Pages: - Volume / Issue: 32 (5) Sequence Number: 1750033 Start / End Page: - Identifier: -