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corrections

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This commit is contained in:
Pierre-Francois Loos 2022-11-14 16:18:06 +01:00
parent 3e995e4640
commit ceaa3b4eab
1 changed files with 4 additions and 1 deletions
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Slides/SRG-GF.tex
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@ -261,6 +261,7 @@
\bEta^{(2)} \bEta^{(2)}
= \comm{\bHd^{(0)}}{\bHod^{(2)}} = \comm{\bHd^{(0)}}{\bHod^{(2)}}
+ \underbrace{\comm{\bHd^{(1)}}{\bHod^{(1)}}}_{\bO} + \underbrace{\comm{\bHd^{(1)}}{\bHod^{(1)}}}_{\bO}
+ \underbrace{\comm{\bHd^{(2)}}{\bHod^{(0)}}}_{\bO}
= =
\begin{pmatrix} \begin{pmatrix}
\bO & \bF^{(0)} \bV^{(2)} - \bV^{(2)} \bC^{(0)} \bO & \bF^{(0)} \bV^{(2)} - \bV^{(2)} \bC^{(0)}
@ -273,7 +274,9 @@
\begin{block}{Second-order effective Hamiltonian} \begin{block}{Second-order effective Hamiltonian}
\begin{equation} \begin{equation}
\dv{\bH^{(2)}}{s} \dv{\bH^{(2)}}{s}
= \comm{\bEta^{(2)}}{\bHd^{(0)}} + \underbrace{\comm{\bEta^{(1)}}{\bHd^{(1)}}}_{\bO} = \comm{\bEta^{(2)}}{\bHd^{(0)}}
+ \comm{\bEta^{(1)}}{\bHod^{(1)}}
+ \comm{\bEta^{(0)}}{\bH^{(2)}}
= =
\begin{pmatrix} \begin{pmatrix}
\dv{\bF^{(2)}}{s} & \dv{\bV^{(2)}}{s} \dv{\bF^{(2)}}{s} & \dv{\bV^{(2)}}{s}