Exact WKB analysis of non-adiabatic transition probabilities for three levels

DOI10.1088/0305-4470/35/10/306zbMath1027.81010OpenAlexW2022611580MaRDI QIDQ4545227

Takashi Aoki, Yoshitsugu Takei, Takahiro Kawai

Publication date: 15 August 2002

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

Full work available at URL: https://doi.org/10.1088/0305-4470/35/10/306

zbMATH Keywords

Schrödinger equationWKB analysisLandau-Zener problemStokes curves

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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) 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 (5)

On the Stokes geometry of perturbed tangential Pearcey systems ⋮ 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 ⋮ Comparison of quasilinear and WKB approximations ⋮ The quest for solvable multistate Landau-Zener models ⋮ Integrability in the multistate Landau-Zener model with time-quadratic commuting operators

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