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authorPrefetch2021-03-08 15:04:06 +0100
committerPrefetch2021-03-08 15:04:06 +0100
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treec3331ad86ea4be57e5c6c8385c9ac75b5dde6227 /content/know/concept/wentzel-kramers-brillouin-approximation
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# 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
+approximation** is a technique 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
balance between classical and quantum physics.
@@ -196,3 +196,12 @@ In the classical region ($E > V$), the wave function oscillates, and
in the quantum-mechanical region ($E < V$) it is exponential. Note that for
$E \approx V$ the approximation breaks down, due to the appearance of
$p(x)$ in the denominator.
+
+
+## References
+1. D.J. Griffiths, D.F. Schroeter,
+ *Introduction to quantum mechanics*, 3rd edition,
+ Cambridge.
+2. R. Shankar,
+ *Principles of quantum mechanics*, 2nd edition,
+ Springer.