A bifurcation phenomenon of Stokes curves around a double turning point, and influence of virtual turning points upon the transition probabilities for three-level systems

DOI10.1016/j.aim.2016.06.025zbMath1358.34099OpenAlexW2469491907MaRDI QIDQ305734

Shinji Sasaki

Publication date: 30 August 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2016.06.025

zbMATH Keywords

three-level systemexact WKB analysisnew Stokes curvenon-adiabatic transitionvirtual turning point

Mathematics Subject Classification ID

Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (2)

Exact WKB and abelianization for the \(T_3\) equation ⋮ Exact WKB and the quantum Seiberg-Witten curve for 4d \(N = 2\) pure SU(3) Yang-Mills. Abelianization

Cites Work

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• New Stokes’ line in WKB theory
• Exact semiclassical expansions for one-dimensional quantum oscillators
• Exact WKB analysis of non-adiabatic transition probabilities for three levels
• Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations
• Virtual Turning Points

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