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Diffstat (limited to 'source/know/concept/rotating-wave-approximation/index.md')
| -rw-r--r-- | source/know/concept/rotating-wave-approximation/index.md | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/source/know/concept/rotating-wave-approximation/index.md b/source/know/concept/rotating-wave-approximation/index.md index 63efc9c..edb13e9 100644 --- a/source/know/concept/rotating-wave-approximation/index.md +++ b/source/know/concept/rotating-wave-approximation/index.md @@ -25,11 +25,11 @@ is fairly close to a resonance frequency $$\omega_0$$ of the system that is getting perturbed by $$\hat{H}_1$$. As an example, consider a two-level system -consisting of states $$\Ket{g}$$ and $$\Ket{e}$$, +consisting of states $$\ket{g}$$ and $$\ket{e}$$, with a resonance frequency $$\omega_0 = (E_e \!-\! E_g) / \hbar$$. -From the derivation of -[time-dependent perturbation theory](/know/concept/time-dependent-perturbation-theory/), -we know that the state $$\Ket{\Psi} = c_g \Ket{g} + c_e \Ket{e}$$ evolves as: +From the [amplitude rate equations](/know/concept/amplitude-rate-equations/), +we know that the general superposition state +$$\ket{\Psi} = c_g \ket{g} + c_e \ket{e}$$ evolves as: $$\begin{aligned} i \hbar \dv{c_g}{t} @@ -89,8 +89,8 @@ $$\begin{aligned} \end{aligned}$$ Such that our example set of equations can be approximated as shown below, -and its analysis can continue; -see [Rabi oscillation](/know/concept/rabi-oscillation/) for more: +and its analysis can continue +(see [Rabi oscillation](/know/concept/rabi-oscillation/) for more): $$\begin{aligned} \dv{c_g}{t} |