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@mhjensen
mhjensen committed Nov 26, 2024
1 parent 8024100 commit 4152ccc
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8 changes: 2 additions & 6 deletions doc/pub/week48/html/week48-bs.html
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Expand Up @@ -165,7 +165,7 @@ <h2 id="two-body-normal-ordered-hamiltonian" class="anchor">Two-body normal-orde

$$
\begin{align*}
\hat{H} &= \sum_{pq} f_q^p\left\{ a_p^\dagger a_q \right\} +
\hat{H} &= \sum_{pq} \langle p\vert \hat{f} \vert q \rangle\left\{ a_p^\dagger a_q \right\} +
\frac{1}{4} \sum_{pqrs} \langle pq \vert \hat{v} \vert rs \rangle \left\{ a_p^\dagger a_q^\dagger a_s a_r \right\} \\
& \quad + \mathrm{E}_0 \\
&= \hat{F}_N + \hat{V}_N + \mathrm{E}_0
Expand All @@ -176,16 +176,12 @@ <h2 id="two-body-normal-ordered-hamiltonian" class="anchor">Two-body normal-orde
<p>where</p>
$$
\begin{align*}
f_q^p &= \langle p\vert \hat{t} \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
\langle pq \vert \vert rs \rangle &= \langle pq \vert \hat{v} \vert rs \rangle \\
\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.
\end{align*}
$$


<!-- %\input{src/ccsd_summary02} -->
<!-- %\input{src/ccsd_summary03} -->

<!-- \include{src/ccsd_H2diagrams} -->
<!-- \include{src/ccsd_barh_expansion} -->
<!-- \include{src/ccsd_factoring} -->
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8 changes: 2 additions & 6 deletions doc/pub/week48/html/week48-reveal.html
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Expand Up @@ -248,7 +248,7 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian
<p>&nbsp;<br>
$$
\begin{align*}
\hat{H} &= \sum_{pq} f_q^p\left\{ a_p^\dagger a_q \right\} +
\hat{H} &= \sum_{pq} \langle p\vert \hat{f} \vert q \rangle\left\{ a_p^\dagger a_q \right\} +
\frac{1}{4} \sum_{pqrs} \langle pq \vert \hat{v} \vert rs \rangle \left\{ a_p^\dagger a_q^\dagger a_s a_r \right\} \\
& \quad + \mathrm{E}_0 \\
&= \hat{F}_N + \hat{V}_N + \mathrm{E}_0
Expand All @@ -261,17 +261,13 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian
<p>&nbsp;<br>
$$
\begin{align*}
f_q^p &= \langle p\vert \hat{t} \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
\langle pq \vert \vert rs \rangle &= \langle pq \vert \hat{v} \vert rs \rangle \\
\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.
\end{align*}
$$
<p>&nbsp;<br>


<!-- %\input{src/ccsd_summary02} -->
<!-- %\input{src/ccsd_summary03} -->

<!-- \include{src/ccsd_H2diagrams} -->
<!-- \include{src/ccsd_barh_expansion} -->
<!-- \include{src/ccsd_factoring} -->
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8 changes: 2 additions & 6 deletions doc/pub/week48/html/week48-solarized.html
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Expand Up @@ -135,7 +135,7 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian

$$
\begin{align*}
\hat{H} &= \sum_{pq} f_q^p\left\{ a_p^\dagger a_q \right\} +
\hat{H} &= \sum_{pq} \langle p\vert \hat{f} \vert q \rangle\left\{ a_p^\dagger a_q \right\} +
\frac{1}{4} \sum_{pqrs} \langle pq \vert \hat{v} \vert rs \rangle \left\{ a_p^\dagger a_q^\dagger a_s a_r \right\} \\
& \quad + \mathrm{E}_0 \\
&= \hat{F}_N + \hat{V}_N + \mathrm{E}_0
Expand All @@ -146,16 +146,12 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian
<p>where</p>
$$
\begin{align*}
f_q^p &= \langle p\vert \hat{t} \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
\langle pq \vert \vert rs \rangle &= \langle pq \vert \hat{v} \vert rs \rangle \\
\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.
\end{align*}
$$


<!-- %\input{src/ccsd_summary02} -->
<!-- %\input{src/ccsd_summary03} -->

<!-- \include{src/ccsd_H2diagrams} -->
<!-- \include{src/ccsd_barh_expansion} -->
<!-- \include{src/ccsd_factoring} -->
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8 changes: 2 additions & 6 deletions doc/pub/week48/html/week48.html
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Expand Up @@ -212,7 +212,7 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian

$$
\begin{align*}
\hat{H} &= \sum_{pq} f_q^p\left\{ a_p^\dagger a_q \right\} +
\hat{H} &= \sum_{pq} \langle p\vert \hat{f} \vert q \rangle\left\{ a_p^\dagger a_q \right\} +
\frac{1}{4} \sum_{pqrs} \langle pq \vert \hat{v} \vert rs \rangle \left\{ a_p^\dagger a_q^\dagger a_s a_r \right\} \\
& \quad + \mathrm{E}_0 \\
&= \hat{F}_N + \hat{V}_N + \mathrm{E}_0
Expand All @@ -223,16 +223,12 @@ <h2 id="two-body-normal-ordered-hamiltonian">Two-body normal-ordered Hamiltonian
<p>where</p>
$$
\begin{align*}
f_q^p &= \langle p\vert \hat{t} \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
\langle pq \vert \vert rs \rangle &= \langle pq \vert \hat{v} \vert rs \rangle \\
\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.
\end{align*}
$$


<!-- %\input{src/ccsd_summary02} -->
<!-- %\input{src/ccsd_summary03} -->

<!-- \include{src/ccsd_H2diagrams} -->
<!-- \include{src/ccsd_barh_expansion} -->
<!-- \include{src/ccsd_factoring} -->
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Binary file modified doc/pub/week48/ipynb/ipynb-week48-src.tar.gz
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32 changes: 14 additions & 18 deletions doc/pub/week48/ipynb/week48.ipynb
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Expand Up @@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "markdown",
"id": "5b72ba9b",
"id": "aa1cd086",
"metadata": {
"editable": true
},
Expand All @@ -14,7 +14,7 @@
},
{
"cell_type": "markdown",
"id": "2f04faba",
"id": "e486deba",
"metadata": {
"editable": true
},
Expand All @@ -27,7 +27,7 @@
},
{
"cell_type": "markdown",
"id": "d3a293b3",
"id": "0b189bf4",
"metadata": {
"editable": true
},
Expand All @@ -52,7 +52,7 @@
},
{
"cell_type": "markdown",
"id": "b5c08389",
"id": "e07ed2d4",
"metadata": {
"editable": true
},
Expand All @@ -66,7 +66,7 @@
},
{
"cell_type": "markdown",
"id": "36a9582e",
"id": "864e2d6a",
"metadata": {
"editable": true
},
Expand All @@ -78,7 +78,7 @@
},
{
"cell_type": "markdown",
"id": "1ada48ee",
"id": "20b321f4",
"metadata": {
"editable": true
},
Expand All @@ -88,7 +88,7 @@
},
{
"cell_type": "markdown",
"id": "a0bf1b88",
"id": "4671c04a",
"metadata": {
"editable": true
},
Expand All @@ -107,7 +107,7 @@
},
{
"cell_type": "markdown",
"id": "0d82aa94",
"id": "b11a39e2",
"metadata": {
"editable": true
},
Expand All @@ -117,14 +117,14 @@
},
{
"cell_type": "markdown",
"id": "8dd39643",
"id": "5b35d32b",
"metadata": {
"editable": true
},
"source": [
"$$\n",
"\\begin{align*}\n",
" \\hat{H} &= \\sum_{pq} f_q^p\\left\\{ a_p^\\dagger a_q \\right\\} + \n",
" \\hat{H} &= \\sum_{pq} \\langle p\\vert \\hat{f} \\vert q \\rangle\\left\\{ a_p^\\dagger a_q \\right\\} + \n",
" \\frac{1}{4} \\sum_{pqrs} \\langle pq \\vert \\hat{v} \\vert rs \\rangle \\left\\{ a_p^\\dagger a_q^\\dagger a_s a_r \\right\\} \\\\\n",
" & \\quad + \\mathrm{E}_0 \\\\\n",
" &= \\hat{F}_N + \\hat{V}_N + \\mathrm{E}_0 \n",
Expand All @@ -135,7 +135,7 @@
},
{
"cell_type": "markdown",
"id": "56de3d02",
"id": "f3dc38be",
"metadata": {
"editable": true
},
Expand All @@ -145,30 +145,26 @@
},
{
"cell_type": "markdown",
"id": "643501dc",
"id": "cdc4b03c",
"metadata": {
"editable": true
},
"source": [
"$$\n",
"\\begin{align*}\n",
" f_q^p &= \\langle p\\vert \\hat{t} \\vert q\\rangle + \\sum_i \\langle pi\\vert \\hat{v} \\vert qi\\rangle \\\\\n",
" \\langle pq \\vert \\vert rs \\rangle &= \\langle pq \\vert \\hat{v} \\vert rs \\rangle \\\\\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",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "21ab8f94",
"id": "15b28da7",
"metadata": {
"editable": true
},
"source": [
"<!-- %\\input{src/ccsd_summary02} -->\n",
"<!-- %\\input{src/ccsd_summary03} -->\n",
"\n",
"<!-- \\include{src/ccsd_H2diagrams} -->\n",
"<!-- \\include{src/ccsd_barh_expansion} -->\n",
"<!-- \\include{src/ccsd_factoring} -->\n",
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Binary file modified doc/pub/week48/pdf/week48.pdf
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5 changes: 2 additions & 3 deletions doc/src/week48/week48.do.txt
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Expand Up @@ -43,7 +43,7 @@ where

!bt
\begin{align*}
\hat{H} &= \sum_{pq} f_q^p\left\{ a_p^\dagger a_q \right\} +
\hat{H} &= \sum_{pq} \langle p\vert \hat{f} \vert q \rangle\left\{ a_p^\dagger a_q \right\} +
\frac{1}{4} \sum_{pqrs} \langle pq \vert \hat{v} \vert rs \rangle \left\{ a_p^\dagger a_q^\dagger a_s a_r \right\} \\
& \quad + \mathrm{E}_0 \\
&= \hat{F}_N + \hat{V}_N + \mathrm{E}_0
Expand All @@ -53,8 +53,7 @@ where
where
!bt
\begin{align*}
f_q^p &= \langle p\vert \hat{t} \vert q\rangle + \sum_i \langle pi\vert \hat{v} \vert qi\rangle \\
\langle pq \vert \vert rs \rangle &= \langle pq \vert \hat{v} \vert rs \rangle \\
\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.
\end{align*}
!et
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