From 299302de177214e5e5c2d0d37193a4c4b3f0830c Mon Sep 17 00:00:00 2001
From: Ryuichi Arafune <ryuichi.arafune@gmail.com>
Date: Mon, 26 Feb 2024 18:36:33 +0900
Subject: [PATCH] =?UTF-8?q?=F0=9F=92=AC=20=20Update=20document?=
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---
 docs/source/dev-guide.rst                |  5 +++--
 docs/source/single-particle-spectral.rst | 27 ++++++++++++++++++++----
 2 files changed, 26 insertions(+), 6 deletions(-)

diff --git a/docs/source/dev-guide.rst b/docs/source/dev-guide.rst
index 5ca6ed79..2487ca00 100644
--- a/docs/source/dev-guide.rst
+++ b/docs/source/dev-guide.rst
@@ -7,7 +7,7 @@ Topics
 Installing an editable copy of PyARPES
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
-1. Install `rye <https://rye-up.com/> to make an isolated environment for development.
+1. Install `rye <https://rye-up.com/>` to make an isolated environment for development.
 2. Clone the respository
 
 .. code:: bash
@@ -15,7 +15,8 @@ Installing an editable copy of PyARPES
    git clone https://gitlab.com/arafune/arpes
 
 3. Install libraries to develop PyARPES with
-  ``rye sync``
+
+   ``rye sync``.
 
 4. After that, activate the .venv/ environment.
 
diff --git a/docs/source/single-particle-spectral.rst b/docs/source/single-particle-spectral.rst
index 9fcb7c9e..e3ca05a0 100644
--- a/docs/source/single-particle-spectral.rst
+++ b/docs/source/single-particle-spectral.rst
@@ -20,16 +20,35 @@ disentangle, it is typically slowly varying in momentum and photon
 energy, and therefore ARPES can be thought of as measuring also
 :math:`A(\textbf{k}, \omega)`.
 
-.. math::
+
+
+.. only:: html
+
+  .. math::
 
 
    \textbf{A}(\mathbf{k}, \omega) = -\frac{1}{\pi}
-   \frac{\color{blue}{\Sigma''(\color{black}{\mathbf{k}, \omega})}}
-   {[\omega - \hspace{-0.25em}\underbrace{\color{green}{\epsilon_0(\color{black}{\mathbf{k}})}}_{\color{green}{\text{Bare band}}}\hspace{-0.25em} - \hspace{-0.4em}\underbrace{\color{red}{\Sigma'\left(\color{black}{\mathbf{k},\omega}\right)}}_{\color{red}{\text{E-renormalization}}}\hspace{-0.9em}]^2 + 
-   [\underbrace{\color{blue}{\Sigma''\left(\color{black}{\mathbf{k},\omega}\right)}}_{
+   \frac{\color{blue}{\Sigma''\color{white}({\mathbf{k}, \omega})}}
+   {[\omega - \hspace{-0.25em}\underbrace{\color{green}{\epsilon_0\color{white}({\mathbf{k}})}}_{\color{green}{\text{Bare band}}}\hspace{-0.25em} - \hspace{-0.4em}\underbrace{\color{red}{\Sigma'\color{white}\left({\mathbf{k},\omega}\right)}}_{\color{red}{\text{E-renormalization}}}\hspace{-0.9em}]^2 + 
+   [\underbrace{\color{blue}{\Sigma''\color{white}\left({\mathbf{k},\omega}\right)}}_{
    \color{blue}{\text{Lifetimes}}
    }]^2}
 
+
+
+
+.. only:: not html
+
+   .. math::
+
+
+     \textbf{A}(\mathbf{k}, \omega) = -\frac{1}{\pi}
+     \frac{\color{blue}{\Sigma''(\color{black}{\mathbf{k}, \omega})}}
+     {[\omega - \hspace{-0.25em}\underbrace{\color{green}{\epsilon_0\color{black}({\mathbf{k}})}}_{\color{green}{\text{Bare band}}}\hspace{-0.25em} - \hspace{-0.4em}\underbrace{\color{red}{\Sigma'\color{black}\left({\mathbf{k},\omega}\right)}}_{\color{red}{\text{E-renormalization}}}\hspace{-0.9em}]^2 + 
+     [\underbrace{\color{blue}{\Sigma''\color{black}\left({\mathbf{k},\omega}\right)}}_{
+     \color{blue}{\text{Lifetimes}}
+     }]^2}
+
 From this quantity much can be extracted, including single-particle band
 structure, energy renormalization by interaction, and measurement of the
 quasiparticle lifetimes. ARPES therefore makes available momentum