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Homework Statement
Suppose the angular wavefunction is ##\propto (\sqrt{2} cos(\theta) + sin (\theta) e^{-i\phi} - sin (\theta) e^{i\phi})##, find possible results of measurement of:
(a) ##\hat {L^2}##
(b)##\hat {L_z}##
and their respective probabilities.
Homework Equations
The Attempt at a Solution
Part (a)
Eigenvalue is ##2\hbar^2##. Thus that is the possible result. How do I find the probability of that outcome?