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authorPrefetch2021-02-21 10:31:51 +0100
committerPrefetch2021-02-21 10:31:51 +0100
commit5886ab5885899d1c432420a7198c454ba2b43d5a (patch)
tree4955181f04726fbb6792da4dd5bb44adf65f5a2f /latex/know/concept/wentzel-kramers-brillouin-approximation
parentb5f41b3dddd9c0e0699e21897f717736950140da (diff)
Various improvements to knowledge base
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--- a/latex/know/concept/wentzel-kramers-brillouin-approximation/source.md
+++ b/latex/know/concept/wentzel-kramers-brillouin-approximation/source.md
@@ -3,10 +3,10 @@
# Wentzel-Kramers-Brillouin approximation
-In quantum mechanics, the *Wentzel-Kramers-Brillouin* or simply the *WKB
-approximation* is a method to approximate the wave function $\psi(x)$ of
+In quantum mechanics, the **Wentzel-Kramers-Brillouin** or simply the **WKB
+approximation** is a method to approximate the wave function $\psi(x)$ of
the one-dimensional time-independent Schrödinger equation. It is an example
-of a *semiclassical approximation*, because it tries to find a
+of a **semiclassical approximation**, because it tries to find a
balance between classical and quantum physics.
In classical mechanics, a particle travelling in a potential $V(x)$
@@ -164,7 +164,7 @@ $$\begin{aligned}
What if $E < V$? In classical mechanics, this is not allowed; a ball
cannot simply go through a potential bump without the necessary energy.
-However, in quantum mechanics, particles can *tunnel* through barriers.
+However, in quantum mechanics, particles can **tunnel** through barriers.
Conveniently, all we need to change for the WKB approximation is to let
the momentum take imaginary values: