diff --git a/Slides/SRG-GF.tex b/Slides/SRG-GF.tex index 6c61360..5228d1b 100644 --- a/Slides/SRG-GF.tex +++ b/Slides/SRG-GF.tex @@ -261,6 +261,7 @@ \bEta^{(2)} = \comm{\bHd^{(0)}}{\bHod^{(2)}} + \underbrace{\comm{\bHd^{(1)}}{\bHod^{(1)}}}_{\bO} + + \underbrace{\comm{\bHd^{(2)}}{\bHod^{(0)}}}_{\bO} = \begin{pmatrix} \bO & \bF^{(0)} \bV^{(2)} - \bV^{(2)} \bC^{(0)} @@ -273,7 +274,9 @@ \begin{block}{Second-order effective Hamiltonian} \begin{equation} \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} \dv{\bF^{(2)}}{s} & \dv{\bV^{(2)}}{s}