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Suppose an clectron is in a state described by the wave function
1
(e“ sin 6 + cos 0) g(r),
V4
where
| 19(r) |² r² dr = 1,
and o, 0 are the azimuth and polar angles respectively.
(a) What are the possible results of a measurement of the z-component
Lz of the angular momentun of the electron in this state?
(b) What is the probability of obtaining each of the possible results in
part (a)?
(c) What is the expectation value of L¿?

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