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- W2035613356 abstract "An algebraic approach based on the multimode two-photon Lie algebra and its corresponding Lie group is followed to derive a formal solution to the time-dependent Schrodinger equation. This solution is written as an expansion series whose leading term corresponds to the thawed Gaussian approximation (TGA). Our scheme provides the most general expression reported so far for this approximation. By using the coherent state representation of the formal solution, the correction term to the TGA is analysed in the zero asymptotic limit. The error is generally found not to vanish in this semiclassical limit. The same approach is followed to study the remainder to the TGA initial value representation (IVR) of the quantum propagator. This correction is found not to vanish either in the zero limit. Hence, the TGA IVR would not be the correct semiclassical asymptotic form of the quantum propagator. The origin of this behaviour is shown to be in the existence of contributions from unphysical saddle points in the semiclassical limit. These would unveil an incorrect analytic structure of the TGA IVR propagator in that limit." @default.
- W2035613356 created "2016-06-24" @default.
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- W2035613356 date "2007-01-17" @default.
- W2035613356 modified "2023-09-25" @default.
- W2035613356 title "An planck-asymptotic analysis of the error in the thawed Gaussian approximation and in the corresponding initial value representation of the quantum propagator" @default.
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- W2035613356 doi "https://doi.org/10.1088/1751-8113/40/5/014" @default.
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