Recent content by z2394

Thanks! I guess I was thinking about it in an operator sense, so it had not occurred to me to do it as an integral instead.

Homework Statement I want to show that <n',l',m'|\hat{z}|n,l,m> = 0 unless m=m', using the form of the spherical harmonics. Homework Equations Equations for spherical harmonics The Attempt at a Solution Not sure how to begin here since there aren't any simple eigenvalues for...

So I see how to do that now, and I get ψ(r) = r*f(r)*(\sqrt{2{\pi}/3}(-Y1,1+Y1,-1) - (1/i)\sqrt{2{\pi}/3}(Y1,1 + Y1,-1) + \sqrt{4{\pi}/3}Y1,0). But now how do I use this to get <L2> and <Lz>? I know to do <ψ| L2 |ψ> and <ψ| Lz |ψ>, but does L2 acting on ψ here still give me the l(l+1)h2...

1. Problem: I have a wave function ψ(r) = (x + y + z)*f(r) and want to find the expectation values of L2 and Lz. It is suggested that I first change the wave function to spherical coordinates, then put that in terms of spherical harmonics of the form Yl,m. 2. Homework Equations ...