Sketch a spherical coordinate system that has a Cartesian z-axis
as its axis. Show , , and .
2
In spherical coordinates, what is the operator of angular momentum
in the -direction?
3
Compare this with the operator for linear momentum in the
-direction. Does the comparison make sense?
4
What is the form of the eigenfunctions of the angular momentum
operator in the -direction?
5
If the angular momentum of a system in a chosen -direction is
measured, can it be 3.141593 ? If not, why not? What is the
closest to that value it could ever come?