Recent content by Deathfrost
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Angular momentum eigenvalues of ψ = A(ar² + bz²) with spherical harmonics
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...- Deathfrost
- Post #13
- Forum: Advanced Physics Homework Help
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Angular momentum eigenvalues of ψ = A(ar² + bz²) with spherical harmonics
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.- Deathfrost
- Post #5
- Forum: Advanced Physics Homework Help
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Angular momentum eigenvalues of ψ = A(ar² + bz²) with spherical harmonics
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...- Deathfrost
- Post #3
- Forum: Advanced Physics Homework Help
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Angular momentum eigenvalues of ψ = A(ar² + bz²) with spherical harmonics
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 +...- Deathfrost
- Thread
- Addition Harmonics Spherical Spherical harmonics Wave Wave equation
- Replies: 13
- Forum: Advanced Physics Homework Help