English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

A resurgence analysis for cubic and quartic anharmonic potentials

MPS-Authors
/persons/resource/persons199591

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

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1608.08119.pdf
(Preprint), 147KB

Supplementary Material (public)
There is no public supplementary material available
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.