scientific article; zbMATH DE number 5258295

zbMath1139.81348arXivmath-ph/0603043MaRDI QIDQ5455343

André Voros

Publication date: 3 April 2008

Full work available at URL: https://arxiv.org/abs/math-ph/0603043

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

perturbation theorysemiclassical asymptoticsSchrödinger equationcomplete elliptic integralsquartic oscillatorspectral determinanthyperelliptic integralsexact WKB analysisspectral zeta functiondivergent integralszeta regularizationWronskian identity

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Perturbation theories for operators and differential equations in quantum theory (81Q15) 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)

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