Yeah I've worked through the problem in shankar, the last equation in my original post is in fact the Shankar problem. I had no trouble with that one, as I was easily able to put x , y and z in Spherical coordinates. Then calculating the probabilities was no problem, and finding the possible...
Tons of clumsy mistakes on my part.
For z^2 :-
Why not just z^2=r^2 * 4\pi/3 * Y^0_1 * Y^0_1?
Though I've never seen any wave-function with 2 angular parts multiplied together, so I don't know how to interpret that.
Ah I guess I just reversed the notations for l and m, anyway I was trying to say l=1, and m=0.
Ok thanks for the suggestion, I see what I can do to proceed from there, but as a follow up question,
If the wave equation is composed of a radial and a angular part,
\psi_n_l_m(r,\theta...
Homework Statement
I am trying to calculate the angular momenta for
\psi(x,y,z) = A(ar^2 + bz^2)
A is given as a constant.
Homework Equations
The Attempt at a Solution
I know that z=r\sqrt{4\pi/3} * Y_0^1
What I have so far is:-
\psi(x,y,z) = r^2Aa +...