Commit 22dddfca by T. van der Sar

### Update 4_ZPFs.md

parent 6f5eced0
Pipeline #47330 passed with stages
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 ... ... @@ -132,7 +132,7 @@ where $\alpha$ is complex. The coherent state has the following properties: Recall that the creation operator $\hat{a}^\dagger$ and the annihilation operator $\hat{a}$ have the following properties: \begin{align} \hat{a}|n\rangle = & \sqrt{n}|n-1\rangle \, \text{and} \, \hat{a}|0\rangle=0, \\ \hat{a}|n\rangle = & \sqrt{n}|n-1\rangle \quad \text{and} \quad \hat{a}|0\rangle=0, \\ \hat{a}^\dagger|n\rangle = & \sqrt{n+1}|n+1\rangle,\\ \hat{a}^\dagger\hat{a}|n\rangle =& n|n\rangle. \end{align} ... ... @@ -141,11 +141,11 @@ where \alpha is complex. The coherent state has the following properties: \hat{H}=\frac{\hat{p}^2}{2m}+\frac{1}{2}m\omega_0^2\hat{x}^2, $$we can express the position and momentum operators in terms of \hat{a} and \hat{a}^\dagger: we can derive$$ \begin{align} \hat{x} = &x_\text{ZPF}(\hat{a}^\dagger+\hat{a})\\ \hat{p} = i\frac{\hbar}{2 x_\text{ZPF}}(\hat{a}^\dagger-\hat{a}). \hat{p} = & i\frac{\hbar}{2 x_\text{ZPF}}(\hat{a}^\dagger-\hat{a}). \end{align}  ... ...
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