A resurgence analysis for cubic and quartic anharmonic potentials

DOI10.1142/S0217751X17500336zbMath1360.81164arXiv1608.08119MaRDI QIDQ2978358

Ilmar Gahramanov, Kemal Tezgin

Publication date: 24 April 2017

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08119

zbMATH Keywords

summabilityanharmonic oscillatorperturbative expansionquartic potentialcubic potentialresurgencenonperturbative sector

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (2)

Stability analysis of a non-unitary CFT ⋮ WKB and “cubic-WKB” methods as an adiabatic approximation

Cites Work

• Calculation of the characteristic functions of anharmonic oscillators
• Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators
• Multi-instantons and exact results. I: conjectures, WKB expansions, and instanton interactions
• Multi-instantons and exact results. II: Specific cases, higher-order effects, and numerical calculations
• Imaginary cubic perturbation: numerical and analytic study
• Dispersive hyperasymptotics and the anharmonic oscillator
• Uniform asymptotic and JWKB expansions for anharmonic oscillators
• WKB and resurgence in the Mathieu equation

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