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Pierre-Francois Loos 2020-12-02 21:39:46 +01:00
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@ -1669,7 +1669,9 @@ can significantly improve the estimate of the energy using low-order perturbatio
as shown in Table~\ref{tab:RMP_shank}.
Even though the RMP series diverges at $U/t = 4.5$, the combination
of diagonal Pad\'e approximants with the Shanks transformation reduces the absolute error of
the best energy estimate to 0.002\,\%.
the best energy estimate to 0.002\,\% using only the lowest 10 terms in the Taylor series.
This remarkable result indicates just how much information is contained in the first few
terms of a perturbation series, even if it diverges.
\begin{table}[th]
\caption{