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The wave function of a particle has the form \begin{equation*} \psi(r\theta,\phi) = \chi(r)( A\cos^7\theta + B \cos^3\theta + C \cos2\phi) \end{equation*} where \(\chi(r)\) is radial part of the wave function dependent only on \(r\). A measurement of \(\vec{L}^2\) and \(L_z\) is made. What values do you expect for \(\vec{L}^2\)? for \(L_z\)?
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4727:Diamond Point
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