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• W3105414059 abstract "We recently obtained a quantum-Boltzmann-conserving classical dynamics by making a single change to the derivation of the Classical Wigner approximation. Here, we show that the further approximation of this Matsubara dynamics gives rise to two popular heuristic methods for treating quantum Boltzmann time-correlation functions: centroid molecular dynamics (CMD) and ring-polymer molecular dynamics (RPMD). We show that CMD is a mean-field approximation to Matsubara dynamics, obtained by discarding (classical) fluctuations around the centroid, and that RPMD is the result of discarding a term in the Matsubara Liouvillian which shifts the frequencies of these fluctuations. These findings are consistent with previous numerical results and give explicit formulae for the terms that CMD and RPMD leave out." @default.
• W3105414059 created "2020-11-23" @default.
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• W3105414059 date "2015-05-15" @default.
• W3105414059 modified "2023-10-16" @default.
• W3105414059 title "Communication: Relation of centroid molecular dynamics and ring-polymer molecular dynamics to exact quantum dynamics" @default.
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• W3105414059 doi "https://doi.org/10.1063/1.4921234" @default.
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