Uniform asymptotic and JWKB expansions for anharmonic oscillators

DOI10.1088/0305-4470/33/13/304zbMath0954.81014OpenAlexW2017155642MaRDI QIDQ4507619

Gabriel Álvarez, Carmen Casares

Publication date: 8 October 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/13/304

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items

WKB method and quantum periods beyond genus one, On exact-WKB analysis, resurgent structure, and quantization conditions, An anharmonic alliance: exact WKB meets EPT, WKB and resurgence in the Mathieu equation, Holomorphic anomaly and quantum mechanics, High order perturbation theory for difference equations and Borel summability of quantum mirror curves, A resurgence analysis for cubic and quartic anharmonic potentials, Two-point functions at arbitrary genus and its resurgence structure in a matrix model for 2D type IIA superstrings, Non-perturbative quantum mechanics from non-perturbative strings, Non-perturbative string theory from AdS/CFT, Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves, TBA equations and resurgent quantum mechanics, Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on \(S^1\), Quantum geometry of resurgent perturbative/nonperturbative relations, Resurgence of one-point functions in a matrix model for 2D type IIA superstrings, Exact WKB and the quantum Seiberg-Witten curve for 4d \(N = 2\) pure SU(3) Yang-Mills. Abelianization, Resurgence, Painlevé equations and conformal blocks