Migrate from 'jekyll-katex' to 'kramdown-math-sskatex'

1 files changed, 12 insertions, 12 deletions

diff --git a/source/know/concept/probability-current/index.md b/source/know/concept/probability-current/index.md
index 43683a3..bd41dab 100644
--- a/source/know/concept/probability-current/index.md
+++ b/source/know/concept/probability-current/index.md
@@ -10,15 +10,15 @@ layout: "concept"
 
 In quantum mechanics, the **probability current** describes the movement
 of the probability of finding a particle at given point in space.
-In other words, it treats the particle as a heterogeneous fluid with density $|\psi|^2$.
-Now, the probability of finding the particle within a volume $V$ is:
+In other words, it treats the particle as a heterogeneous fluid with density $$|\psi|^2$$.
+Now, the probability of finding the particle within a volume $$V$$ is:
 
 $$\begin{aligned}
     P = \int_{V} | \psi |^2 \ddn{3}{\vb{r}}
 \end{aligned}$$
 
 As the system evolves in time, this probability may change, so we take
-its derivative with respect to time $t$, and when necessary substitute
+its derivative with respect to time $$t$$, and when necessary substitute
 in the other side of the Schrödinger equation to get:
 
 $$\begin{aligned}
@@ -33,8 +33,8 @@ $$\begin{aligned}
     = - \int_{V} \nabla \cdot \vb{J} \ddn{3}{\vb{r}}
 \end{aligned}$$
 
-Where we have defined the probability current $\vb{J}$ as follows in
-the $\vb{r}$-basis:
+Where we have defined the probability current $$\vb{J}$$ as follows in
+the $$\vb{r}$$-basis:
 
 $$\begin{aligned}
     \vb{J}
@@ -43,8 +43,8 @@ $$\begin{aligned}
 \end{aligned}$$
 
 Let us rewrite this using the momentum operator
-$\vu{p} = -i \hbar \nabla$ as follows, noting that $\vu{p} / m$ is
-simply the velocity operator $\vu{v}$:
+$$\vu{p} = -i \hbar \nabla$$ as follows, noting that $$\vu{p} / m$$ is
+simply the velocity operator $$\vu{v}$$:
 
 $$\begin{aligned}
     \boxed{
@@ -55,7 +55,7 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-Returning to the derivation of $\vb{J}$, we now have the following
+Returning to the derivation of $$\vb{J}$$, we now have the following
 equation:
 
 $$\begin{aligned}
@@ -65,7 +65,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 By removing the integrals, we thus arrive at the **continuity equation**
-for $\vb{J}$:
+for $$\vb{J}$$:
 
 $$\begin{aligned}
     \boxed{
@@ -77,13 +77,13 @@ $$\begin{aligned}
 This states that the total probability is conserved, and is reminiscent of charge
 conservation in electromagnetism. In other words, the probability at a
 point can only change by letting it "flow" towards or away from it. Thus
-$\vb{J}$ represents the flow of probability, which is analogous to the
+$$\vb{J}$$ represents the flow of probability, which is analogous to the
 motion of a particle.
 
 As a bonus, this still holds for a particle in an electromagnetic vector
-potential $\vb{A}$, thanks to the gauge invariance of the Schrödinger
+potential $$\vb{A}$$, thanks to the gauge invariance of the Schrödinger
 equation. We can thus extend the definition to a particle with charge
-$q$ in an SI-unit field, neglecting spin:
+$$q$$ in an SI-unit field, neglecting spin:
 
 $$\begin{aligned}
     \boxed{