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Diffstat (limited to 'content/know/concept/wentzel-kramers-brillouin-approximation')
| -rw-r--r-- | content/know/concept/wentzel-kramers-brillouin-approximation/index.pdc | 11 |
1 files changed, 10 insertions, 1 deletions
diff --git a/content/know/concept/wentzel-kramers-brillouin-approximation/index.pdc b/content/know/concept/wentzel-kramers-brillouin-approximation/index.pdc index 482650e..cf44fc8 100644 --- a/content/know/concept/wentzel-kramers-brillouin-approximation/index.pdc +++ b/content/know/concept/wentzel-kramers-brillouin-approximation/index.pdc @@ -14,7 +14,7 @@ markup: pandoc # 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. |