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author | Prefetch | 2021-02-21 10:31:51 +0100 |
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committer | Prefetch | 2021-02-21 10:31:51 +0100 |
commit | 5886ab5885899d1c432420a7198c454ba2b43d5a (patch) | |
tree | 4955181f04726fbb6792da4dd5bb44adf65f5a2f /latex/know/concept/wentzel-kramers-brillouin-approximation/source.md | |
parent | b5f41b3dddd9c0e0699e21897f717736950140da (diff) |
Various improvements to knowledge base
Diffstat (limited to 'latex/know/concept/wentzel-kramers-brillouin-approximation/source.md')
-rw-r--r-- | latex/know/concept/wentzel-kramers-brillouin-approximation/source.md | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/latex/know/concept/wentzel-kramers-brillouin-approximation/source.md b/latex/know/concept/wentzel-kramers-brillouin-approximation/source.md index a50302c..79f344a 100644 --- 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: |