Expectation value of Lz for spherical harmonic Y2,-2

[cwhitis]

Show that the expectation value of Lz is -2h for the radial wavefunction Y2,-2. ? Can someone do this?

 

[javiergra24]

Use the matrix representation for the basis l=2.

Remember that
$$\mathbf{L_z} = m\hbar$$

 

[cwhitis]

Thanks but I still don't understand, could you work it out?

 

[vela]

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.

 

[javiergra24]

The wavefunction is normalized. Radial function cannot be Y, that's the spherical harmonics. Just apply the expected value in the ket-bra notation