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http://hdl.handle.net/20.500.12323/4667| Title: | A resurgence analysis for cubic and quartic anharmonic potentials |
| Authors: | Gahramanov, Ilmar Tezgin, Kemal |
| Keywords: | Anharmonic oscillator perturbative expansion resurgence nonperturbative sector summability quartic potential cubic potential |
| Issue Date: | 2017 |
| Publisher: | World Scientific Publishing Company |
| Citation: | International Journal of Modern Physics A |
| Series/Report no.: | Vol. 32;№ 5 |
| 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 nonperturbative contributions with the fluctuation terms to the energy merely from the perturbative data. We confirm our results with previous results obtained in the literature. |
| URI: | http://hdl.handle.net/20.500.12323/4667 |
| Appears in Collections: | Publication |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| A resurgence analysis for cubic and quartic anharmonic potentials.pdf | 359.84 kB | Adobe PDF | View/Open |
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