Stokes coefficients of the cubic model: a quantum resurgence viewpoint

DOI10.5802/afst.1088zbMath1074.81022OpenAlexW2314241973MaRDI QIDQ2484121

Duc Tai Trinh

Publication date: 3 August 2005

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2005_6_14_1_71_0

zbMATH Keywords

differential equationsresurgencenon-linear oscillatorStokes coefficients

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (1)

On the simpleness of zeros of Stokes multipliers

Cites Work

• Differential equations with polynomial coefficients
• Voros resurrection and periods of hyperelliptic curves
• Quantum resurgence
• A new proof of summability of formal solutions of nonlinear meromorphic differential equations
• Global asymptotics for multiple integrals with boundaries.
• On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
• Singular Lagrangian manifolds and semiclassical analysis.
• Formal solutions of linear meromorphic differential systems and summability
• Summability of divergent series
• Modèles de résurgence paramétrique: Fonctions d'Airy et cylindro-paraboliques
• Hyperasymptotics for integrals with saddles
• Exact semiclassical expansions for one-dimensional quantum oscillators
• Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant
• Hyperasymptotics
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