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Sec III

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Pierre-Francois Loos 2023-02-07 14:41:04 +01:00
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Manuscript/SRGGW.tex
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@ -312,7 +312,8 @@ which satisfied the following condition \cite{Kehrein_2006}
This implies that the matrix elements of the off-diagonal part decrease in a monotonic way throughout the transformation. This implies that the matrix elements of the off-diagonal part decrease in a monotonic way throughout the transformation.
Moreover, the coupling coefficients associated with the highest-energy determinants are removed first as we shall evidence in the perturbative analysis below. Moreover, the coupling coefficients associated with the highest-energy determinants are removed first as we shall evidence in the perturbative analysis below.
The main drawback of this generator is that it generates a stiff set of ODE which is therefore difficult to solve numerically. \cite{Hergert_2016a} The main drawback of this generator is that it generates a stiff set of ODE which is therefore difficult to solve numerically. \cite{Hergert_2016a}
However, here we will not tackle the full SRG problem but only consider analytical low-order perturbative expressions so we will not be affected by this problem. \cite{Evangelista_2014,Hergert_2016} However, here we will not tackle the full SRG problem but only consider analytical low-order perturbative expressions.
Hence, we will not be affected by this problem. \cite{Evangelista_2014,Hergert_2016}
Let us now perform the perturbative analysis of the SRG equations. Let us now perform the perturbative analysis of the SRG equations.
For $s=0$, the initial problem is For $s=0$, the initial problem is