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- W1615055960 abstract "Semiclassical quantization is exact only for the so called emph{solvable} potentials, such as the harmonic oscillator. In the emph{nonsolvable} case the semiclassical phase, given by a series in $hbar$, yields more or less approximate results and eventually diverges due to the asymptotic nature of the expansion. A quantum phase is derived to bypass these shortcomings. It achieves exact quantization of nonsolvable potentials and allows to obtain the quantum wavefunction while locally approaching the best pre-divergent semiclassical expansion. An iterative procedure allowing to implement practical calculations with a modest computational cost is also given. The theory is illustrated on two examples for which the limitations of the semiclassical approach were recently highlighted: cold atomic collisions and anharmonic oscillators in the nonperturbative regime." @default.
- W1615055960 created "2016-06-24" @default.
- W1615055960 creator A5024266891 @default.
- W1615055960 date "2004-11-11" @default.
- W1615055960 modified "2023-09-27" @default.
- W1615055960 title "Exact quantization of nonsolvable potentials: the role of the quantum phase beyond the semiclassical approximation" @default.
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- W1615055960 hasPublicationYear "2004" @default.
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