saving work

Poster/main.tex

@@ -26,6 +26,7 @@
 \newcommand{\orange}[1]{\textcolor{orange}{#1}}
 \newcommand{\purple}[1]{\textcolor{purple}{#1}}
 \newcommand{\blue}[1]{\textcolor{blue}{#1}}
+\newcommand{\teal}[1]{\textcolor{teal}{#1}}
 \newcommand{\green}[1]{\textcolor{darkgreen}{#1}}
 \newcommand{\yellow}[1]{\textcolor{fooyellow}{#1}}
 \newcommand{\red}[1]{\textcolor{red}{#1}}
@@ -134,21 +135,21 @@
     \end{minipage}
     \begin{minipage}{0.6\linewidth}
       \begin{equation*}
-	\qty[ \underbrace{\blue{\boldsymbol{F}}}_{\text{\blue{Fock matrix}}} + \underbrace{\violet{\boldsymbol{\Sigma}^{\GW}} (\omega = \epsilon^{GW}_{p})}_{\text{\violet{dynamic self-energy}}} ] \psi_{p}^{GW} 
-	 = \epsilon^{GW}_{p} \psi_{p}^{GW}
+	\qty[ \underbrace{\blue{\boldsymbol{F}}}_{\text{\blue{Fock matrix}}} + \underbrace{\violet{\boldsymbol{\Sigma}^{\GW}} (\omega = \teal{\epsilon^{GW}_{p}})}_{\text{\violet{dynamic self-energy}}} ] \psi_{p}^{GW} 
+	 = \teal{\epsilon^{GW}_{p}} \psi_{p}^{GW}
        \end{equation*}
        \vspace{1cm}
        \begin{equation*}
          \begin{split}
 	\violet{\Sigma_{pq}^{GW}}(\omega) 
-			&= \sum_{i\nu} \frac{\red{W_{pi}^{\nu}} \red{W_{qi}^{\nu}}}{\omega - \epsilon^{GW}_{i} + \orange{\Omega_{\nu}} - \ii \eta} \\
-           &+ \sum_{a\nu} \frac{\red{W_{pa}^{\nu}} \red{W_{qa}^{\nu}}}{\omega - \epsilon^{GW}_{a} - \orange{\Omega_{\nu}} + \ii \eta}
+			&= \sum_{i\nu} \frac{\red{W_{pi}^{\nu}} \red{W_{qi}^{\nu}}}{\omega - \teal{\epsilon^{GW}_{i}} + \orange{\Omega_{\nu}} - \ii \eta} \\
+           &+ \sum_{a\nu} \frac{\red{W_{pa}^{\nu}} \red{W_{qa}^{\nu}}}{\omega - \teal{\epsilon^{GW}_{a}} - \orange{\Omega_{\nu}} + \ii \eta}
          \end{split}
        \end{equation*}	
      \end{minipage}
     }
     \column{0.5}
-    \block{SRG}{
+    \block{Similarity Renormalization Group (SRG)}{
     \begin{minipage}{0.49\linewidth}
     The pillar of the SRG formalism is the flow equation
     \begin{equation}
@@ -191,10 +192,10 @@
       \begin{equation*}
         \begin{split}
   	  &\blue{\widetilde{\boldsymbol{F}}_{pq}}(s) = \delta_{pq} \blue{\epsilon^{\text{HF}}_{p}} + \sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } \red{W_{pr}^{\nu}} \red{W_{qr}^{\nu}} \qty[1  - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ] \\
-	  &\qq{with} \Delta_{pr}^{\nu} = \epsilon^{GW}_{p} - \epsilon^{GW}_{r} \pm \Omega_\nu \\
+	  &\qq{with} \Delta_{pr}^{\nu} = \teal{\epsilon^{GW}_{p}} - \teal{\epsilon^{GW}_{r}} \pm \orange{\Omega_{\nu}} \\
           \\
           &\violet{\widetilde{\Sigma}_{pq}^{\SRGGW}}(\omega;s) = \\
-          &\sum_{i\nu} \frac{\red{W_{pi}^{\nu}} \red{W_{qi}^{\nu}}e^{-((\Delta_{pi}^{\nu})^2+(\Delta_{qi}^{\nu})^2) s}}{\omega - \epsilon^{GW}_{i} + \Omega_{\nu}} + \sum_{a\nu} \frac{\red{W_{pa}^{\nu}} \red{W_{qa}^{\nu}}e^{-((\Delta_{pa}^{\nu})^2+(\Delta_{qa}^{\nu})^2) s}}{\omega - \epsilon^{GW}_{a} - \Omega_{\nu}}
+          &\sum_{i\nu} \frac{\red{W_{pi}^{\nu}} \red{W_{qi}^{\nu}}e^{-((\Delta_{pi}^{\nu})^2+(\Delta_{qi}^{\nu})^2) s}}{\omega - \teal{\epsilon^{GW}_{i}} + \orange{\Omega_{\nu}}} + \sum_{a\nu} \frac{\red{W_{pa}^{\nu}} \red{W_{qa}^{\nu}}e^{-((\Delta_{pa}^{\nu})^2+(\Delta_{qa}^{\nu})^2) s}}{\omega - \teal{\epsilon^{GW}_{a}} - \orange{\Omega_{\nu}}}
         \end{split}
       \end{equation*}
     \end{minipage}
@@ -213,7 +214,7 @@
     \vspace{2.5cm}
     \begin{equation*}
       \begin{split}
-        &\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) = \delta_{pq} \epsilon^{\text{HF}}_{p} + \\
+        &\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) = \\
         \\
         &\sum_{r\nu} \frac{1}{2}\qty(\frac{\Delta_{pr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + \eta^2 } + \frac{\Delta_{qr}^{\nu}}{(\Delta_{qr}^{\nu})^2 + \eta^2}) W_{pr}^{\nu} W_{qr}^{\nu}
       \end{split}
@@ -230,7 +231,7 @@
     \vspace{2.5cm}
     \begin{equation*}
       \begin{split}
-        &\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \delta_{pq} \epsilon^{\text{HF}}_{p} + \\
+        &\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \\
         \\
         &\sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } W_{pr}^{\nu} W_{qr}^{\nu} \qty[1  - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ]
       \end{split}