From 16555851b6514a736c5c9d8e73de7da7fc9b6288 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Thu, 20 Oct 2022 18:25:31 +0200
Subject: Migrate from 'jekyll-katex' to 'kramdown-math-sskatex'

---
 .../concept/bose-einstein-distribution/index.md    | 26 +++++++++++-----------
 1 file changed, 13 insertions(+), 13 deletions(-)

(limited to 'source/know/concept/bose-einstein-distribution')

diff --git a/source/know/concept/bose-einstein-distribution/index.md b/source/know/concept/bose-einstein-distribution/index.md
index 594d6e0..e420d7c 100644
--- a/source/know/concept/bose-einstein-distribution/index.md
+++ b/source/know/concept/bose-einstein-distribution/index.md
@@ -14,13 +14,13 @@ which do not obey the [Pauli exclusion principle](/know/concept/pauli-exclusion-
 will distribute themselves across the available states
 in a system at equilibrium.
 
-Consider a single-particle state $s$,
+Consider a single-particle state $$s$$,
 which can contain any number of bosons.
-Since the occupation number $N$ is variable,
+Since the occupation number $$N$$ is variable,
 we turn to the [grand canonical ensemble](/know/concept/grand-canonical-ensemble/),
-whose grand partition function $\mathcal{Z}$ is as follows,
-where $\varepsilon$ is the energy per particle,
-and $\mu$ is the chemical potential:
+whose grand partition function $$\mathcal{Z}$$ is as follows,
+where $$\varepsilon$$ is the energy per particle,
+and $$\mu$$ is the chemical potential:
 
 $$\begin{aligned}
     \mathcal{Z}
@@ -29,7 +29,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 The corresponding [thermodynamic potential](/know/concept/thermodynamic-potential/)
-is the Landau potential $\Omega$, given by:
+is the Landau potential $$\Omega$$, given by:
 
 $$\begin{aligned}
     \Omega
@@ -37,8 +37,8 @@ $$\begin{aligned}
     = k T \ln\!\Big( 1 - \exp(- \beta (\varepsilon - \mu)) \Big)
 \end{aligned}$$
 
-The average number of particles $\Expval{N}$
-is found by taking a derivative of $\Omega$:
+The average number of particles $$\Expval{N}$$
+is found by taking a derivative of $$\Omega$$:
 
 $$\begin{aligned}
     \Expval{N}
@@ -47,8 +47,8 @@ $$\begin{aligned}
     = \frac{\exp(- \beta (\varepsilon - \mu))}{1 - \exp(- \beta (\varepsilon - \mu))}
 \end{aligned}$$
 
-By multitplying both the numerator and the denominator by $\exp(\beta(\varepsilon \!-\! \mu))$,
-we arrive at the standard form of the **Bose-Einstein distribution** $f_B$:
+By multitplying both the numerator and the denominator by $$\exp(\beta(\varepsilon \!-\! \mu))$$,
+we arrive at the standard form of the **Bose-Einstein distribution** $$f_B$$:
 
 $$\begin{aligned}
     \boxed{
@@ -58,9 +58,9 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-This tells the expected occupation number $\Expval{N}$ of state $s$,
-given a temperature $T$ and chemical potential $\mu$.
-The corresponding variance $\sigma^2$ of $N$ is found to be:
+This tells the expected occupation number $$\Expval{N}$$ of state $$s$$,
+given a temperature $$T$$ and chemical potential $$\mu$$.
+The corresponding variance $$\sigma^2$$ of $$N$$ is found to be:
 
 $$\begin{aligned}
     \boxed{
-- 
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