diff --git a/doc/pub/week48/html/week48-bs.html b/doc/pub/week48/html/week48-bs.html
index 8139642..1066ba7 100644
--- a/doc/pub/week48/html/week48-bs.html
+++ b/doc/pub/week48/html/week48-bs.html
@@ -177,7 +177,7 @@ <h2 id="two-body-normal-ordered-hamiltonian" class="anchor">Two-body normal-orde
 $$
 \begin{align*}
             \langle p\vert \hat{f} \vert q \rangle &= \langle p\vert \hat{h}_0 \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
-            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{t} \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
+            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{h}_0 \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
 \end{align*}
 $$
 
diff --git a/doc/pub/week48/html/week48-reveal.html b/doc/pub/week48/html/week48-reveal.html
index 43ae88e..28e1aaf 100644
--- a/doc/pub/week48/html/week48-reveal.html
+++ b/doc/pub/week48/html/week48-reveal.html
@@ -262,7 +262,7 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian
 $$
 \begin{align*}
             \langle p\vert \hat{f} \vert q \rangle &= \langle p\vert \hat{h}_0 \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
-            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{t} \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
+            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{h}_0 \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
 \end{align*}
 $$
 <p>&nbsp;<br>
diff --git a/doc/pub/week48/html/week48-solarized.html b/doc/pub/week48/html/week48-solarized.html
index 9a6604b..6aaf48b 100644
--- a/doc/pub/week48/html/week48-solarized.html
+++ b/doc/pub/week48/html/week48-solarized.html
@@ -147,7 +147,7 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian
 $$
 \begin{align*}
             \langle p\vert \hat{f} \vert q \rangle &= \langle p\vert \hat{h}_0 \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
-            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{t} \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
+            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{h}_0 \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
 \end{align*}
 $$
 
diff --git a/doc/pub/week48/html/week48.html b/doc/pub/week48/html/week48.html
index 5703dae..34eb32c 100644
--- a/doc/pub/week48/html/week48.html
+++ b/doc/pub/week48/html/week48.html
@@ -224,7 +224,7 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian
 $$
 \begin{align*}
             \langle p\vert \hat{f} \vert q \rangle &= \langle p\vert \hat{h}_0 \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
-            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{t} \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
+            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{h}_0 \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
 \end{align*}
 $$
 
diff --git a/doc/pub/week48/ipynb/ipynb-week48-src.tar.gz b/doc/pub/week48/ipynb/ipynb-week48-src.tar.gz
index 36c2bd6..5f7ecd5 100644
Binary files a/doc/pub/week48/ipynb/ipynb-week48-src.tar.gz and b/doc/pub/week48/ipynb/ipynb-week48-src.tar.gz differ
diff --git a/doc/pub/week48/ipynb/week48.ipynb b/doc/pub/week48/ipynb/week48.ipynb
index 01b352b..849c582 100644
--- a/doc/pub/week48/ipynb/week48.ipynb
+++ b/doc/pub/week48/ipynb/week48.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "aa1cd086",
+   "id": "2a0f729b",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e486deba",
+   "id": "033f5ee3",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b189bf4",
+   "id": "9dc6b01d",
    "metadata": {
     "editable": true
    },
@@ -52,7 +52,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e07ed2d4",
+   "id": "e3cb7d74",
    "metadata": {
     "editable": true
    },
@@ -66,7 +66,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "864e2d6a",
+   "id": "e5586616",
    "metadata": {
     "editable": true
    },
@@ -78,7 +78,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "20b321f4",
+   "id": "9697cf5d",
    "metadata": {
     "editable": true
    },
@@ -88,7 +88,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4671c04a",
+   "id": "de2ace9c",
    "metadata": {
     "editable": true
    },
@@ -107,7 +107,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b11a39e2",
+   "id": "b405ac1a",
    "metadata": {
     "editable": true
    },
@@ -117,7 +117,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b35d32b",
+   "id": "0512b3e2",
    "metadata": {
     "editable": true
    },
@@ -135,7 +135,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3dc38be",
+   "id": "268db6f7",
    "metadata": {
     "editable": true
    },
@@ -145,7 +145,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cdc4b03c",
+   "id": "fc4e395b",
    "metadata": {
     "editable": true
    },
@@ -153,14 +153,14 @@
     "$$\n",
     "\\begin{align*}\n",
     "            \\langle p\\vert \\hat{f} \\vert q \\rangle &= \\langle p\\vert \\hat{h}_0 \\vert q\\rangle + \\sum_i \\langle pi\\vert \\hat{v} \\vert qi\\rangle \\\\\n",
-    "            \\mathrm{E}_0 &= \\sum_i \\langle i\\vert \\hat{t} \\vert i\\rangle + \\frac{1}{2} \\sum_{ij} \\langle ij\\vert  \\hat{v} \\vert ij\\rangle.\n",
+    "            \\mathrm{E}_0 &= \\sum_i \\langle i\\vert \\hat{h}_0 \\vert i\\rangle + \\frac{1}{2} \\sum_{ij} \\langle ij\\vert  \\hat{v} \\vert ij\\rangle.\n",
     "\\end{align*}\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "15b28da7",
+   "id": "3791c8bd",
    "metadata": {
     "editable": true
    },
diff --git a/doc/pub/week48/pdf/week48.pdf b/doc/pub/week48/pdf/week48.pdf
index 3457d00..c83fd3f 100644
Binary files a/doc/pub/week48/pdf/week48.pdf and b/doc/pub/week48/pdf/week48.pdf differ
diff --git a/doc/src/week48/week48.do.txt b/doc/src/week48/week48.do.txt
index af77ff6..f88af32 100644
--- a/doc/src/week48/week48.do.txt
+++ b/doc/src/week48/week48.do.txt
@@ -54,7 +54,7 @@ where
 !bt
 \begin{align*}
             \langle p\vert \hat{f} \vert q \rangle &= \langle p\vert \hat{h}_0 \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
-            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{t} \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
+            \mathrm{E}_0 &= \sum_i \langle i\vert \hat{h}_0 \vert i\rangle + \frac{1}{2} \sum_{ij} \langle ij\vert  \hat{v} \vert ij\rangle.
 \end{align*}
 !et