From a498e8d1f0dbb1badb7eefc22a0ed1aeaa255619 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Sat, 20 Feb 2021 16:10:49 +0100
Subject: Minor improvements to "Probability current"

---
 latex/know/concept/probability-current/source.md | 13 ++++++++-----
 1 file changed, 8 insertions(+), 5 deletions(-)

(limited to 'latex/know/concept/probability-current')

diff --git a/latex/know/concept/probability-current/source.md b/latex/know/concept/probability-current/source.md
index 69faf0c..bffc599 100644
--- a/latex/know/concept/probability-current/source.md
+++ b/latex/know/concept/probability-current/source.md
@@ -1,9 +1,12 @@
+% Probability current
+
+
 # Probability current
 
-In quantum mechanics, the *probability current* expresses the movement
-of the probability of finding a particle. Or 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 given by:
+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:
 
 $$\begin{aligned}
     P = \int_{V} | \psi |^2 \dd[3]{\vec{r}}
@@ -66,7 +69,7 @@ $$\begin{aligned}
     }
 \end{aligned}$$
 
-This states that probability is conserved, and is reminiscent of charge
+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
 $\vec{J}$ represents the flow of probability, which is analogous to the
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