Exact quantization method for the polynomial 1D Schrödinger equation

zbMATH Open0987.81021MaRDI QIDQ2744107

André Voros

Publication date: 18 September 2001

zbMATH Keywords

exact quantizationspectral determinantsSibuya's analysisstationary polynomial Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Geometry and quantization, symplectic methods (81S10) 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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