Can someone help me with expectation values for the radial wavefunction?

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The discussion focuses on calculating the expectation value of Lz for the radial wavefunction Y2,-2, specifically showing that it equals -2h. Participants emphasize the importance of using the matrix representation for the basis l=2 and remind that Lz is defined as mħ. Forum rules prohibit providing direct solutions without the user demonstrating some effort in solving the problem. Additionally, there is clarification that the radial function cannot be represented as Y, which refers to spherical harmonics. The conversation underscores the need for proper notation and understanding of quantum mechanics principles.
cwhitis
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Show that the expectation value of Lz is -2h for the radial wavefunction Y2,-2. ? Can someone do this?
 
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Use the matrix representation for the basis l=2.

Remember that
<br /> \mathbf{L_z} = m\hbar<br />
 
Last edited:
Thanks but I still don't understand, could you work it out?
 
That's not how it works here. It's against the forum rules to provide solutions, and you need to show some attempt at solving the problem before you'll get help here.
 
The wavefunction is normalized. Radial function cannot be Y, that's the spherical harmonics. Just apply the expected value in the ket-bra notation
 

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