From 5720e2cde41fe8c9ddb0581156e8c1ee32e0f6c6 Mon Sep 17 00:00:00 2001 From: Hugh Burton Date: Wed, 2 Dec 2020 20:34:29 +0000 Subject: [PATCH] another little commit --- Manuscript/EPAWTFT.tex | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/Manuscript/EPAWTFT.tex b/Manuscript/EPAWTFT.tex index fafdbb2..78a35e4 100644 --- a/Manuscript/EPAWTFT.tex +++ b/Manuscript/EPAWTFT.tex @@ -1669,7 +1669,10 @@ 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 corresponding +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{