Minor improvements to "Probability current"

1 files changed, 3 insertions, 3 deletions

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+  <title>Prefetch | Probability current</title>
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@@ -50,7 +50,7 @@
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 <hr>
 <h1 id="probability-current">Probability current</h1>
-<p>In quantum mechanics, the <em>probability current</em> expresses the movement of the probability of finding a particle. Or in other words, it treats the particle as a heterogeneous fluid with density <span class="math inline">\(|\psi|^2\)</span>. Now, the probability of finding the particle within a volume <span class="math inline">\(V\)</span> is given by:</p>
+<p>In quantum mechanics, the <em>probability current</em> 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 <span class="math inline">\(|\psi|^2\)</span>. Now, the probability of finding the particle within a volume <span class="math inline">\(V\)</span> is:</p>
 <p><span class="math display">\[\begin{aligned}
     P = \int_{V} | \psi |^2 \dd[3]{\vec{r}}
 \end{aligned}\]</span></p>
@@ -94,7 +94,7 @@
         = - \pdv{|\psi|^2}{t}
     }
 \end{aligned}\]</span></p>
-<p>This states that 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 <span class="math inline">\(\vec{J}\)</span> represents the flow of probability, which is analogous to the motion of a particle.</p>
+<p>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 <span class="math inline">\(\vec{J}\)</span> represents the flow of probability, which is analogous to the motion of a particle.</p>
 <p>As a bonus, this still holds for a particle in an electromagnetic vector potential <span class="math inline">\(\vec{A}\)</span>, thanks to the gauge invariance of the Schrödinger equation. We can thus extend the definition to a particle with charge <span class="math inline">\(q\)</span> in an SI-unit field, neglecting spin:</p>
 <p><span class="math display">\[\begin{aligned}
     \boxed{