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| author | Prefetch | 2026-09-05 21:55:33 +0200 |
|---|---|---|
| committer | Prefetch | 2026-09-05 21:55:33 +0200 |
| commit | 5cacf4ffaf3a9621ab536195f6469f98a420f054 (patch) | |
| tree | 317b734468a287c50d2403fdfafa45434f538150 /source/know/concept/electric-dipole-approximation/index.md | |
| parent | 29b49508a751649310173e592b63415dbf563a2a (diff) | |
Diffstat (limited to 'source/know/concept/electric-dipole-approximation/index.md')
| -rw-r--r-- | source/know/concept/electric-dipole-approximation/index.md | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/source/know/concept/electric-dipole-approximation/index.md b/source/know/concept/electric-dipole-approximation/index.md index 06f0f45..393b875 100644 --- a/source/know/concept/electric-dipole-approximation/index.md +++ b/source/know/concept/electric-dipole-approximation/index.md @@ -138,10 +138,10 @@ $$\begin{aligned} \\ &= - (- i i) q \omega_0 \vu{x} \cdot \vb{A}_0 \exp(- i \omega t) \\ - &\approx - \vu{d} \cdot \vb{E}_0 \exp(- i \omega t) + &\approx - \vu{p} \cdot \vb{E}_0 \exp(- i \omega t) \end{aligned}$$ -Where $$\vu{d} \equiv q \vu{x}$$ is +Where $$\vu{p} \equiv q \vu{x}$$ is the **transition dipole moment operator** of the electron, hence the name *electric dipole approximation*. Finally, we take the real part, yielding: @@ -150,7 +150,7 @@ $$\begin{aligned} \boxed{ \begin{aligned} \hat{H}_1(t) - &= - \vu{d} \cdot \vb{E}(t) + &= - \vu{p} \cdot \vb{E}(t) \\ &= - q \vu{x} \cdot \vb{E}_0 \cos(\omega t) \end{aligned} |
