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'

---
 source/know/concept/slater-determinant/index.md | 14 +++++++-------
 1 file changed, 7 insertions(+), 7 deletions(-)

(limited to 'source/know/concept/slater-determinant/index.md')

diff --git a/source/know/concept/slater-determinant/index.md b/source/know/concept/slater-determinant/index.md
index 03ec153..72c8cf2 100644
--- a/source/know/concept/slater-determinant/index.md
+++ b/source/know/concept/slater-determinant/index.md
@@ -9,13 +9,13 @@ layout: "concept"
 ---
 
 In quantum mechanics, the **Slater determinant** is a trick
-to create a many-particle wave function for a system of $N$ fermions,
+to create a many-particle wave function for a system of $$N$$ fermions,
 with the necessary antisymmetry.
 
-Given an orthogonal set of individual states $\psi_n(x)$, we write
-$\psi_n(x_n)$ to say that particle $x_n$ is in state $\psi_n$. Now the
+Given an orthogonal set of individual states $$\psi_n(x)$$, we write
+$$\psi_n(x_n)$$ to say that particle $$x_n$$ is in state $$\psi_n$$. Now the
 goal is to find an expression for an overall many-particle wave
-function $\Psi(x_1, ..., x_N)$ that satisfies the
+function $$\Psi(x_1, ..., x_N)$$ that satisfies the
 [Pauli exclusion principle](/know/concept/pauli-exclusion-principle/).
 Enter the Slater determinant:
 
@@ -34,13 +34,13 @@ Swapping the state of two particles corresponds to exchanging two rows,
 which flips the sign of the determinant.
 Similarly, switching two columns means swapping two states,
 which also results in a sign change.
-Finally, putting two particles into the same state makes $\Psi$ vanish.
+Finally, putting two particles into the same state makes $$\Psi$$ vanish.
 
 Not all valid many-fermion wave functions can be
 written as a single Slater determinant; a linear combination of multiple
 may be needed. Nevertheless, an appropriate choice of the input set
-$\psi_n(x)$ can optimize how well a single determinant approximates a
-given $\Psi$.
+$$\psi_n(x)$$ can optimize how well a single determinant approximates a
+given $$\Psi$$.
 
 In fact, there exists a similar trick for bosons, where the goal is to
 create a symmetric wave function which allows multiple particles to
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