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- W3112473169 abstract "The stationary 1D Schrodinger equation with a polynomial potential $V(q)$ of degree $N$ is reduced analytically to a system of (complex) exact quantization conditions of Bohr--Sommerfeld form. These reduced equations can be probed numerically for effective solvability: in test cases, they appear to generate discrete dynamical systems with contractive behavior, and converging towards the exact quantum data as their fixed point. (To date, this statement is verified only empirically and for potentials close to purely quartic or sextic ones.)" @default.
- W3112473169 created "2020-12-21" @default.
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- W3112473169 date "2000-01-01" @default.
- W3112473169 modified "2023-09-27" @default.
- W3112473169 title "Exact quantization method for the polynomial 1D Schrödinger equation | Méthode de quantification exacte pour l'équation de Schrödinger polynômiale 1D" @default.
- W3112473169 hasPublicationYear "2000" @default.
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