Central Forces 2022
An angular momentum system with \(\ell=1\) is prepared in the state:
\begin{equation}
\psi\rangle =\frac{2}{\sqrt{29}}1,1\rangle+i\frac{3}{\sqrt{29}}1,0\rangle\frac{4}{\sqrt{29}}1,1\rangle
\end{equation}

What are the possible results of a measurement of the angular momentum
component \(L_z\), and with what probabilities would they occur?

What are the possible results of a measurement of the angular momentum
component \(L_x\), and with what probabilities would they occur?
Hint: You may want to use this
Spins Reference Sheet or also found here
Spins Reference Sheet.

Plot histograms of the predicted measurement results from parts (a) and (b).