The wave function of a point particle of mass m subject to some spherically-symmetric potential v(r) is given in cartesian coordinates by (x + y + 3z) f(r), ψ(x) for some given function j (r), where as usual y = (a) what are the possible results if the magnitude |l of the angular momentum is measured? (b) what are the possible results if the z-component l of the angular momentum is measured simul +v taneously with l? (c) suppose it is known that (x) is a stationary state with energy e. what can be deduced about the potential v(r)?
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